Write an equation in point slope form of the line with the slope of 4 that passes through (-2,-5)
Answers
Answer:
y=4x+3Step-by-step explanation:
m =4
\((-2,-5)=(x_1,y_1)\)
Substitute values into slope intercept form
\(y-y_1=m(x-x_1)\\\\y-(-5)=4(x-(-2))\\\\y+5=4(x+2)\\\\y+5=4x+8\\\\y=4x+8-5\\\\y=4x+3\)
Related Questions
PLZ HELP NEED BY TODAY!!
Answers
Step-by-step explanation:
Given 5x + 8 = 118 (vertically opposite angles)
\(5x + 8 = 118 \\ 5x = 118 - 8 \\ 5x = 110 \\ x = 110 \div 5 \\ = 22\)
What is the charge qenc that is enclosed by the cylinder (cross-sectional area A=2.00×10-2 m2) if the charge is only on one surface?
Answers
The charge enclosed by the cylinder is simply equal to the total charge Q on the surface of the cylinder.
If the charge is only on one surface of the cylinder, then we can assume that the charge is uniformly distributed on that surface. Let's denote the surface charge density by σ.
The charge enclosed by the cylinder is given by qenc = σA, where A is the cross-sectional area of the cylinder.
We are not given the surface charge density σ, but we can relate it to the total charge Q on the surface of the cylinder as follows:
Q = σA
We can solve for σ to get:
σ = Q/A
Substituting this expression for σ into our equation for qenc, we get:
qenc = σA = (Q/A)A = Q
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in an integer overflow attack, an attacker changes the value of a variable to something outside the range that the programmer had intended by using an integer overflow.T/F
Answers
True. An integer overflow attack occurs when an attacker manipulates a variable in a way that causes it to exceed its maximum value or minimum value, leading to unexpected and potentially harmful behavior.
This can happen if a programmer fails to properly check and validate the input values that are being used in their code, allowing an attacker to inject a value that triggers an overflow.
As a result, the variable may be assigned a value that is outside the intended range, leading to unpredictable behavior and potentially causing the program to crash or execute unintended code. It is important for programmers to take steps to prevent integer overflow attacks, such as validating input values and using data types with sufficient capacity to hold the expected range of values.
This occurs when an arithmetic operation results in a value that is too large to be stored in the allocated memory, causing the value to wrap around and become smaller, or even negative. This can lead to unintended consequences in a program's behavior, which an attacker can exploit to gain unauthorized access or cause other security issues.
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If h(x) = 6 – x, what is the value of (h circle h) (10)?
–4
–2
10
16
Answers
Answer:
-4
Step-by-step explanation:
imagine h(x) is 10
your equation would look like 10 = 6 - x
of you plug in 4 you'll get 10 = 6 - (-4)
you equation would end up being an addition problem giving you 10 = 6 + 4
Answer:
10 (c.)
Step-by-step explanation:
i took the test and got it right
can you guys please make me the most brainlyest
If f(x)=7x+3 ,what is f^-1(x)?
Answers
Answer:
\(\displaystyle{f^{-1}(x)=\dfrac{x}{7}-\dfrac{3}{7}}\)
Step-by-step explanation:
Swap f(x) and x position of the function, thus:
\(\displaystyle{x=7f(x)+3}\)
Then solve for f(x), subtract 3 both sides and then divide both by 7:
\(\displaystyle{x-3=7f(x)}\\\\\displaystyle{\dfrac{x}{7}-\dfrac{3}{7}=f(x)}\)
Since the function has been inverted, therefore:
\(\displaystyle{f^{-1}(x)=\dfrac{x}{7}-\dfrac{3}{7}}\)
And we can prove the answer by substituting x = 1 in f(x) which results in:
\(\displaystyle{f(1)=7(1)+3 = 10}\)
The output is 10, now invert the process by substituting x = 10 in \(f^{-1}(x)\):
\(\displaystyle{f^{-1}(10)=\dfrac{10}{7}-\dfrac{3}{7}}\\\\\displaystyle{f^{-1}(10)=\dfrac{7}{7}=1}\)
The input is 1. Hence, the solution is true.
A six-sided die with sides labeled 1 through 6 will be rolled once. Each number is equally likely to be rolled.
What is the probability of rolling a number less than 5?
Write your answer as a fraction in simplest form.
Answers
Answer & Step-by-step explanation:
On a six-sided die, there are 4 numbers less than 5. So, we can write this as a fraction.
\(\frac{4}{6}\) or we can write this fraction as \(\frac{2}{3}\)
So, the probability of rolling a number less than 5 is \(\frac{2}{3}\)
−9−5x>-1
2
-5
-10
Or none
Which of the following values are solutions to the inequality
Answers
Answer
If my answer is ok for you rate my answer
Answer:
-5 and -10
Step-by-step explanation:
-9-5(-5)
-9+25
=16
-9-5(-10)
-9+50
=41
without using symmetry, determine a definite integral that represents the area of the region enclosed by r = 1 sin θ .
Answers
The definite integral that represents the area of the region enclosed by the polar curve r = 1 sin θ is ∫[a, b] 1/2 r^2 dθ
To determine the definite integral that represents the area of the region, we integrate the expression 1/2 r^2 with respect to θ over the interval [a, b], where a and b are the limits of the region.
In this case, the polar curve r = 1 sin θ represents a circle with radius 1 centered at the origin. As θ varies from 0 to π, the curve traces half of the circle in the positive direction. To find the area of the region enclosed by this curve, we integrate the expression 1/2 r^2 over this interval.
The expression 1/2 r^2 represents the area of a sector of the circle with radius r and central angle θ. Integrating this expression with respect to θ gives us the total area enclosed by the curve.
By evaluating the definite integral over the interval [a, b], we can find the area of the region enclosed by the polar curve r = 1 sin θ.
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20 minutes Samantha is making a telephone call to her friend Adila who lives in Kenya. The call costs her R3,20 per 30 seconds. Samantha speaks to Adila for 24 minutes. B. What would Samantha pay if she made this call every month for two years?
Answers
Samantha pays R154.08 for a single call to her friend in Kenya. If she makes this call monthly for two years, the total cost would be R3,699.20.
To calculate the cost of Samantha's call, we need to determine the total duration of her call in seconds. Samantha spoke for 24 minutes, which is equal to 24 x 60 = 1,440 seconds.
The cost of the call is R3.20 per 30 seconds, or R3.20 / 30 = R0.107 per second.
Multiplying the cost per second by the total duration of the call gives us R0.107 x 1,440 = R154.08 for a single call.
If Samantha makes this call every month for two years, she would make 12 x 2 = 24 calls in total.
Multiplying the cost of a single call by the number of calls gives us R154.08 x 24 = R3,699.20 for two years' worth of calls.
Therefore, Samantha would pay R3,699.20 if she made this call every month for two years.
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The table below represents a linear function.
\def\arraystretch{1.5} \begin{array}{|c|c|c|c|c|} \hline n & -3 & 1 & 5 & 9 \\ \hline f(n) & -3 & 5 & 13 & 21 \\ \hline \end{array}
n
f(n)
−3
−3
1
5
5
13
9
21
What is the slope?
Answers
Answer:
2
Step-by-step explanation:
if you do change in y/change in x it would be 8/4 with simplifies down to 2
Which expression represents the total
volume of the two storage spaces?
Answers
The total volume of the storage space is given by the last option:
s³ + 12 ft³
How to express the total volume?Remember that the volume of a cube of side length S, is:
V = S³
Here we have two cubes, so we need to find two volumes.
The first one has side length s, so its volume is:
V = s³
The second one has a volume of 12 ft³, the total volumeof the storage space is just the sum of the two volumes above, we will get.
s³ + 12 ft³
That is the correct option.
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Which rigid transformations would map ΔJKL onto ΔPQR?
Answers
A reflection only, a rotation and a reflection, a translation and a reflection. Both rotations and reflections are examples of isometries, which are transformations that preserve the distances between points.
What is translation and reflection ?A translation in a triangle is a transformation that moves the triangle to a new position in the plane without changing its shape or size. In a translation, the triangle is moved along a straight line, called the translation vector, by a certain distance and direction. The vertices of the triangle are each moved by the same translation vector.A reflection in a triangle is a transformation that flips the triangle over a line called the line of reflection. The line of reflection divides the triangle into two congruent halves, and the points on one side of the line are mapped to corresponding points on the other side of the line.A rotation in a triangle is a transformation that turns the triangle about a fixed point, called the center of rotation. The degree of rotation is determined by the angle of rotation, which is the measure of the angle formed by two rays that are drawn from the center of rotation to the points where the original and rotated positions of a line intersect.Complete question :
Which rigid transformations would map ΔJKL onto ΔPQR? Select the three correct answers.
a reflection only
a rotation only
a rotation and a reflection
a translation and a reflection
a translation only
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Are the following word sequences statements? Justify your answer.A) I swear to tell the truthB) good ideas sleep furiouslyC) Go away, you're getting on my nerves.B- Build the truth table containing the following compound propositions:> P <=> (Q V R)
Answers
SOLUTION
Looking at the sentences presented in A, B and C,
A is not a statement because it cannot be proven to be true or false
B is a statement because it can be proven to be true or false
C is not a statement because it cannot be proven to be true or false
So we will be building a truth table for B
Now we will build a table for (Q V R) first. This means Q or R.
We have
And next is P <=> (Q V R), this means P is true or false if and only if Q or R is true/false.
We have
When the product of 6 and the square of a number is increased by 5 times the number.
Answers
The square of a number is increased by 5 times the number \(6x^{2} +5x-4=0\)
What is quadratic equation?
A quadratic equation is a second order equation written as a\(x^{2}\) + bx + c = 0 where a, b, and c are coefficients of real numbers and a ≠ 0.
Product of 6 and the square of a number is increased by 5 times the number, he result is 4.
Consider x as the number,
The question can be written as:
\(6(x^{2} )+5(x)=4\)
\(6(x^{2} )+5(x)-4=0\)
Hence, the answer for the given question is \(6x^{2} +5x-4=0\).
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The following table gives the number of pints of type A blood used at Damascus Hospital in the past 6 weeks: a) The forecasted domand for the week of October 12 using a 3-week moving averigge pints (round your response to two decimal piaces).
Answers
The forecasted demand for the week of October 12, based on the 3-week moving average, is 16 pints. This estimate provides an approximation of the expected demand for type A blood at Damascus Hospital during that week, considering recent trends in usage.
To calculate the forecasted demand for the week of October 12, we employ a 3-week moving average. This approach involves taking the average of the number of pints used over the previous three weeks.
Let's refer to the table provided to determine the moving average:
Week Number of Pints
Sept 1 15
Sept 8 18
Sept 15 12
Sept 22 20
Sept 29 16
Oct 6 14
To calculate the moving average, we sum the number of pints used over the three most recent weeks and divide it by 3:
Moving Average = (12 + 20 + 16) / 3 = 16
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Answers this plz I need help
Answers
Answer:
y=2x+5
Step-by-step explanation:
u find the slope and since the y intercept is (0,5), that's the b value
hope this helps
Answer: 2x+5
Step-by-step explanation: calculate the slope of the points with the formula m= (y2-y1)/(x2-x1) then use the y-int to complete the equation
Lorie ordered a shed to hold her gardening supplies. The shed had a length of 16.25 ft, a width of 11 ft, and a height of six and one fifth ft. Determine the volume, V, using the formula V = lwh.
Answers
The volume of the shelter is 1108.25 cu. ft.
What is a Cuboid?A cuboid is a three-dimensional figure with 6 faces, all the faces are rectangular in shape.
The volume is the space occupied by it in a three-dimensional figure.
The volume of a cuboid whose length is l,
The width is w, and
Height is h.
V = length * Width * Height
V = lwh
The length of the shed is 16.25 ft.
The width of the shed is 11 ft.
The height of the shed is 6 1/5 ft
The height of the shed is 31/5 = 6.2ft.
The volume of the shed is given by
V = 16.25 * 11 * 6.2
V = 1108.25 cu.ft
Therefore, the shed has a volume of 1108.25 cu.ft.
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(4y - 15) 7y + x = 180
Answers
To find the x-intercept/zero,
substitute y= 0
4×0-15 ×7×0+x=180 0+x= 180 X=180
After two years, the ash tree grew 51 inches. How much does it grow each year? How tall is in in 5 years? Use the double number line to find your answer.
Answers
Answer: 25.5 inches per year, in 5 years it will be 127.5 inches.
Step-by-step explanation:
it grows 25.5 inches every year, so the math for this is 25.5 x 5
(5 representing the years) and you get an answer of 127.5in.
if the original parabola defined by y= x ^2, how would it change if y= 2 (x - 3) +1 were graphed instead?
Answers
Answer:
It would be stretched vertically by a factor of 2, shifted right 3, and shifted up 1
Step-by-step explanation:
Note that inside the parentheses, the shift is the opposite direction of the add/subtract sign.
Answer: A
Step-by-step explanation:
Kuta Software Infinite Algebra 1. Solving Systems of Equations by Substitution. Solve each system by substitution. 1) y=6x-11. -2x-3y=-7. -2x-3(60x-11)=-7
Answers
the solution to the system of equations is x = 2 and y = 1.
To solve the system of equations by substitution, we will solve one equation for one variable and substitute it into the other equation.
Given the system of equations:
1) y = 6x - 11
2) -2x - 3y = -7
Step 1: Solve equation (1) for y.
y = 6x - 11
Step 2: Substitute the value of y from equation (1) into equation (2).
-2x - 3(6x - 11) = -7
Step 3: Simplify and solve for x.
-2x - 18x + 33 = -7
-20x + 33 = -7
-20x = -7 - 33
-20x = -40
x = (-40)/(-20)
x = 2
Step 4: Substitute the value of x into equation (1) to find y.
y = 6(2) - 11
y = 12 - 11
y = 1
Therefore, the solution to the system of equations is x = 2 and y = 1.
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The solution to the system of equations y = 6x - 11 and -2x - 3y = -7 is x = 2 and y = 1. This is achieved by substituting y into the second equation, simplifying, and solving for x, then substituting x back into the first equation to solve for y.
Explanation:To solve the system of equations y = 6x - 11 and -2x - 3y = -7 by substitution, we start by substituting the equation y = 6x - 11 into the second equation in place of y, giving us -2x - 3(6x - 11) = -7. Next, simplify the equation by distributing the -3 inside the parentheses to get -2x - 18x + 33 = -7. Combine like terms to get -20x + 33 = -7. Subtract 33 from both sides to obtain -20x = -40, and finally, divide by -20 to find x = 2.
Once we find the solution for x, we substitute it back into the first equation y = 6x - 11. Substituting 2 in place of x gives y = 6*2 - 11, which simplifies to y = 1.
Therefore, the solution to the system of equations is x = 2 and y = 1.
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The three sides of a triangle are in the ratio 2:4:5. If the perimeter is 22 m, find the
length of the shortest side.
Answers
Answer:
what are primary numbers
Answer:
the length of the shortest side would be 4
Step-by-step explanation:
2:4:5
2 + 4 + 5 = 11
4 + 8 + 10 = 22
4:8:10
Which two sentences in this excerpt from John Steinbeck's "Symptoms" address the theme of soldiers being reluctant to talk about their experiences in war?
Answers
Answer:
The sentences are
) It was a difficult moment, but I did what seemed right, which was to say, "Of course not," and then to take her onto my lap and hold her for a while.
2) They would discuss their experiences right up to the time of battle and then suddenly they wouldn't talk anymore
Step-by-step explanation:
Answer: 1. They would discuss their experiences right up to the time of battle and then suddenly they wouldn't talk anymore
2. It was thought that they had seen or done was so horrible.....
Step-by-step explanation: I just took the test on Plato and these were the correct answers
6 ⁒ 2(1+2)=?
is the answer 1?
Answers
Answer:
9
Step-by-step explanation:
no, I don't think so because 6/2=3 and in the bracket 1+2=3 and if we multiple them then the answer should be 9 (3×3=9)
The answer to your question is 9 !
(x divided by 3) - 6. it’s a divided by sign i just don’t have it. but written in a word phrase
Answers
Answer:
Step-by-step explanation:
- x over 3
Calculate the area and the circumference of the circle
Answers
Answer:
A = 2.5434 C = 5.652
Step-by-step explanation:
A = 0.9 times 0.9 times 3.14
C = 2 times 3.14 times 0.9
\(\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}\)
Given - radius of circle equals 0.9 yardsTo find - circumference and area of the circleWe know that ,
\(\qquad\underline{ Area \: of \: circle\: = \: \pi \: r^{2}}\)
\(\\\therefore \: area = \frac{22}{7} \times 0.9 \times 0.9 \\ \\ \implies \: area = \frac{17.82}{7} \\ \\ \implies \: area = 2.55 \: yards {}^{2} \: (approx.)\)
also ,
\(\qquad\underline{Circumference \:of \: circle\:=\:2 \pi \: r}\)
\(\\\therefore \: circumference = 2\pi \: r \\ \\ \implies \: circumference = 2 \times \frac{22}{7} \times 0.9 \\ \\ \implies \: circumference = \frac{39.6}{7} \\ \\ \implies \: circumference = 5.66 \: yards \: (approx.)\)
hope helpful :)
Miguel had $25.00. He spent $16.00. Which decimal represents the fraction of the $25.00 that
Miguel spent?
(1 point)
O 0.64
00.36
00.4
0 0.6
Answers
Step-by-step explanation:
Fraction of the money spent = $16/$25 = 0.64.
The length of a rectangle is increasing at a rate of 15 cm/s and its width is decreasing at a rate of 8 cm/s. When the length is 38 cm and the width is 16 cm, at what rate is the area of the rectangle changing
Answers
The rate at which the area of the rectangle is changing is -64 cm²/s.
To find the rate at which the area of the rectangle is changing, we'll need to use the given information and differentiate the area function with respect to time.
Step 1: Identify the given rates and measurements
- Length (L) is increasing at a rate of 15 cm/s (dL/dt = 15)
- Width (W) is decreasing at a rate of 8 cm/s (dW/dt = -8)
- At the specific moment we are interested in, L = 38 cm and W = 16 cm
Step 2: Write the equation for the area of the rectangle
- Area (A) = L * W
Step 3: Differentiate the area equation with respect to time (t)
- dA/dt = d(L * W)/dt = (dL/dt * W) + (L * dW/dt)
Step 4: Substitute the given information into the differentiated equation
- dA/dt = (15 * 16) + (38 * -8)
Step 5: Calculate the result
- dA/dt = 240 - 304 = -64 cm²/s
This negative value indicates that the area is decreasing. It's due to the fact that the width is decreasing faster than the length is increasing at the given moment.
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Kayla gave of a pan of brownies to Ella and of the pan to Eli. Which choice is the MOST reasonable for the part of the
pan of brownies Kayla gave away?
6
A
B)
D
E
The
N.
Answers
Answer:
its definetly 1/2 but i cant see the numbers but i had this question like 2 minutes ago
Step-by-step explanation:
nice to help a high schooler, make you think how hard high school will be
if x-3 is a factor of the polynomial x3+4x2+kx-30 find the value of k
Answers
Answer:
k = -11
Step-by-step explanation:
The Factor Theorem states that if (x - c) is a factor of the polynomial f(x), then f(c) = 0.
In this case, we know that (x - 3) is a factor of the polynomial f(x) = x³ + 4x² + kx - 30. Therefore, we can use the Factor Theorem to solve for k by equating f(3) to zero.
\(\begin{aligned}f(3)&=0\\\implies 3^3 + 4(3^2) + 3k - 30 &= 0\\ 27 + 4(9) + 3k +33 &= 0\\27+36+3k-30&=0\\3k+33&=0\\ 3k+33-33&=-33\\3k&=-33\\3k \div 3&=-33 \div 3\\k&=-11\end{aligned}\)
Therefore, the value of k is -11.