The point-slope form of the equation of the line is
\(y-b=m(x-a)\)where
\(\begin{gathered} m=\frac{6-(-2)}{3-1} \\ m=\frac{8}{2} \\ m=4 \end{gathered}\)Replacing m=4 and the point (1,-2) we have
\(\begin{gathered} y-(-2)=4(x-1) \\ y+2=4x-4 \\ y=4x-6 \end{gathered}\)This equation can be writen in diferent ways l
What is the equation of the line that passes through the point (8,-8) and has a slope of -1
Answer:
y= (-1)*x
Step-by-step explanation:
lets assume that the line equation is
y=m*x +b
where m is the slope and b the independent variable that intercept Y axis.
then replacing the value of m:
y=(-1)*x + b
after that we have to look for the value of b. Its obtained replaicing the given point (8,-8):
-8 = (-1)*(8) +b
-8 = -8 + b
0 = b
Therefore the equation of the line is:
y= (-1)*x
Geomtry help, Need answer as soon as possible please! (image of problem attached)
Answer:
A
Step-by-step explanation:
hope this helps
brainiest plzzTriangle DEF with D(-4, 6), E(2,6),
F(0,8): k = 1/2
Triangle DEF as shown ion figure D(-4, 6), E(2,6), F(0,8) translate by a factor of 1/2, So the new vertex are: D' (-2, 3), E' (1, 3), F' (0, 4)
Describe the term triangle?Triangle is commonly represented by a graph in which the three points are labeled as A, B, and C, and the three line segments are labeled as AB, AC, and BC. The graph of a triangle typically looks like below figure.
The new coordinates of each vertex of the triangle after scaling by 1/2.
For vertex D:
x-coordinate = -4, y-coordinate = 6
New x-coordinate = (1/2) × (-4) = -2
New y-coordinate = (1/2) × 6 = 3
So the new coordinates for D' are (-2, 3)
For vertex E:
E (2, 6) ⇒ 1/2 × (2, 6) ⇒ (1, 3)
So the new coordinates for E' are (1, 3)
For vertex F:
F (0, 8) ⇒ 1/2 × (0, 8) ⇒ (0, 4)
So the new coordinates for F' are (0, 4)
D(-4, 6), E(2,6), F(0,8) ⇒ D' (-2, 3), E' (1, 3), F' (0, 4)
Finally, plot the new points on the same coordinate plane and connect them to form the new triangle. You should see that the new triangle is a smaller version of the original triangle, with all sides and angles scaled down by a factor of 1/2.
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Rates of change. Please help!! :)
Answer:
it is either -7 or 0
Step-by-step explanation:
hope this helped
Use the quadratic formula to find the exact solutions of 3x2 − 6x + 2 = 0.
a. negative 1 plus or minus the square root of 3 divided by 3
b. 1 plus or minus the square root of 3 divided by 3
c. negative 1 plus or minus the square root of 15 divided by 3
d. 1 plus or minus the square root of 15 divided by 3
The exact solutions of the qudratic equation 3x^2 - 6x + 2 = 0 are:
a. negative 1 plus or minus the square root of 3 divided by
3 (x = (-1 ± √3) / 3) .So, option a is the correct answer.
To find the solutions of the quadratic equation 3x^2 - 6x + 2 = 0, we can use the quadratic formula, which states that for an equation of the form ax^2 + bx + c = 0, the solutions are given by:
x = (-b ± √(b^2 - 4ac)) / (2a)
In this case, a = 3, b = -6, and c = 2. Substituting these values into the formula, we have:
x = (-(-6) ± √((-6)^2 - 4(3)(2))) / (2(3))
x = (6 ± √(36 - 24)) / 6
x = (6 ± √12) / 6
x = (6 ± 2√3) / 6
x = (3 ± √3) / 3
Therefore, the exact solutions of the equation 3x^2 - 6x + 2 = 0 are:
a. negative 1 plus or minus the square root of 3 divided by 3 (x = (-1 ± √3) / 3)
So, option a is the correct answer.
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Natural resources that are used to make goods and services are considered _____. Equipment Money Land Labor
natural resources that are used to make goods and services are considered land
hope that helped :))
Which graph represents the solution set to the system of inequalities?
{ Y ≤ 1/4X-2
Y ≥ −54X+2
ANSWER Down Below
The graph of the system of inequalities:
y ≤ (1/4)*x - 2
y ≥ −(5/4)x +2
Is in the image at the end.
Which is the graph of the system of inequalities?Here we have the system of inequalities:
y ≤ (1/4)*x - 2
y ≥ −(5/4)x +2
To graph this, we just need to graph both of the linear equations, and we need to shade the region below the first line (the one with positive slope) and the region above the second line, the one with negative slope.
Then the graph of the system of inequalities is the graph you can see in the image at the end of the answer.
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Select the correct answer.
What is the factored form of this expression?
433 – 8x2 – 9x + 18
--
-
A. (2x − 3)(2x - 3)(x - 2)
B. (2x + 3) (2x − 3)(x + 2)
C. (2x + 3)(2x + 3)(x - 2)
D. (2x + 3)(2x − 3)(x - 2)
Answer:
Option D
Step-by-step explanation:
Use Factoring Methods
\(4x^3-8x^2-9x+18\\\)
put bracket around each 2 terms as such \((4x^3-8x^2)+(-9x+18)\)
And then factor each respective bracket. We'll start with the first one
\((4x^3-8x^2) = 4x^2(x-2)\)
Then do the other, and try to get similar brackets as the first
\((-9x+18)=-9(x-2)\)
Since they are both simiar, the equation is now: \((4x^2-9)(x-2)\)
Now factor the first bracket again for final result
\(4x^2-9=(2x-3)(2x+3)\)
Ans when you put it all together, you get: \((2x-3)(2x+3)(x-2)\)
Correct answer is option D
Which expressions represent rational numbers? Check all that apply.
Answer:
Step-by-step explanation:
NVM ITS WRONG
Y-2 = 7(X-4), what form of an equation is this?
Is this in correct standard form? Why or Why not
9514 1404 393
Answer:
point-slope formno -- not in standard formStep-by-step explanation:
The point-slope form of the equation for a line with slope m through point (h, k) is ...
y -k = m(x -h)
Comparing this to the equation you have, you see that you have a "point-slope form" equation with m=7 and (h, k) = (4, 2).
__
The standard form of an equation for a line is ...
ax +by = c
where a, b, c are mutually prime integers and a > 0.
Putting your equation into standard form would make it look like ...
7x - y = 26
Your equation is not in correct standard form.
_____
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Find the value of x to the nearest degree.
A teacher assigns a score from 1 to 4 to each student project. The table below shows the probability distribution of the scores for a randomly selected student. Which score is most likely?
Answer:
The answer is 3 sorry if I am wrong
Step-by-step explanation:
please help me solve both photo whoever help get brainest and 5 star plus 20 points
Answer:
bet power of 7
Step-by-step explanation:
I'm help you 2 cubed plus b times 4
In a normal distribution, 68% of the data fall within how many standard
deviations of the mean?
A. Two standard deviations
B. One standard deviation
C. It cannot be determined from the given information.
D. Three standard deviations
In a normal distribution of data, 68% of the data fall within one standard deviations of the mean.
What do you mean by normally distributed data?Normally distributed data is the distribution of probability which is symmetric about the mean.
The mean of the data is the average value of the given data.The standard deviation of the data is the half of the difference of the highest value and mean of the data set.According to the empirical rule, also known as 68-95-99.7 rule, the percentage of values that lie within an interval with 68%, 95% and 99.7% of the values lies within one, two or three standard deviations of the mean of the distribution.
\(P(\mu - \sigma < X < \mu + \sigma) = 68\%\\P(\mu - 2\sigma < X < \mu + 2\sigma) = 95\%\\P(\mu - 3\sigma < X < \mu + 3\sigma) = 99.7\%\)
Here the mean of distribution of X is \(\mu\) and standard deviation from mean of distribution of X is \(\sigma\).
Thus, in a normal distribution of data, 68% of the data fall within one standard deviations of the mean.
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Plz help’
!
I’ll be giving extra points
because it's value will always be same
Answer:
This value doesn't depend on x or y
It'll be the same things always
Need help on please
Answer:
12
Step-by-step explanation:
The figure is a right triangle with hypotenuse = QS
The base from the graph = 4 units
(or you can just subtract the x-coordinates 2 - (-2) = 4)
The height from the graph is 3 units
(Or you can subtract the y-coordinates: 1 - (-2) = 3)
Since this is a right triangle the square of the hypotenuse = sum of squares of the other two sides
QS² = 3² + 4² = 9 + 16 = 25
QS, the hypotenuse = √25 = 5
The perimeter = sum of the sides = 3 + 4 + 5 = 12 units
La suma de los ángulos externos de un triángulo es 360º.?
Answer:
children formerly truths former formerly upright justification
1.BhEvaluate the formula V =3O 9.6 in.³O 288 in. 3332 in.O 96 in.3for B = 9 in.² and h = 32 in.
Given -
B = 9 in²
h = 32 in
To Find -
Evaluate the formula (V) =?
Step-by-Step Explanation -
As we are given
\(V\text{ = }\frac{Bh}{3}\)Simply putting the values in the above formula:
\(V\text{ = }\frac{9\times32}{3}\text{ = 3}\times32\text{ = 96 in}^3\)Final Answer -
Option D. 96 in³
What is the equation for the line in slope-intercept form?
Enter your answer in the box.
GETS 100 POINTS!
Graph of a line on a coordinate plane. The horizontal x axis ranges from negative 10 to 10 in increments of 2. The vertical y axis ranges from negative 10 to 10 in increments of 2. A line passes through points begin ordered pair negative 4 comma 4 end ordered pair and begin ordered pair negative 2 comma 0 end ordered pair and begin ordered pair 0 comma negative 4 end ordered pair and begin ordered pair 2 comma negative 8 end ordered pair.
Answer: y =4x
Step-by-step explanation: I think that's the answer can you tell me if it's correct
Answer:
y = -2x - 4
Step-by-step explanation:
this is for you k12 peps
1. A small bag of rice weighs 5/8 Kg. How
many of these bags are contained in a
bag which is 70Kg?
Answer:
112 bags are contained in
Step-by-step explanation:
a bag which is 70 kg
At Todd Morton's donut shop, mini-donuts are sold in boxes of 5, 10, and 20. What is the least number of boxes that must be bought to acquire exactly 95 mini-donuts?
Six boxes must be bought to acquire exactly 95 mini-donuts.
Algebra is an ancient branch of mathematics that deals with number theory, geometry, and analysis. According to some definitions, the study of mathematical symbols and rules involves manipulating these mathematical symbols.
Given that at Todd Morton's donut shop, mini-donuts are sold in boxes of 5, 10, and 20
We have to determine the least number of boxes that must be bought to acquire exactly 95 mini-donuts
Here 3 boxes are given
Box1 contains 5 mini-donuts
Box2 contains 10 mini-donuts
Box3 contains 20 mini-donuts
If we take four boxes of mini-donuts which contain 20
= 4 x 20 = 80
Now remaining 15 mini-donuts
So take one box each
1 x 10 = 10
1 x 5 = 5
80+10+5 =95
Total boxes = 4 + 1 + 1 = 6
Therefore, six boxes must be bought to acquire exactly 95 mini-donuts.
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Find value of X and BD
Look at picture
The measure of length of x of the parallelogram is x = 2.36 units
Given data ,
Let the parallelogram be represented as ABCD
Now , the measure of lengths of the sides are
The measure of AB = 13x - 20
The measure of CD = 2x + 6
The measure of BC = 5x + 4
Opposite sides are parallel
Opposite sides are congruent
So , AB = CD
13x - 20 = 2x + 6
Subtracting 2x on both sides , we get
11x = 26
Divide by 11 on both sides , we get
x = 2.36 units
Hence , the parallelogram is solved and x = 2.36 units
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Given the following, determine the set (B n C)'.
U= {x|x EN and x < 10}
B = {x|x EN and x is even and x< 10}
C = {x|x E N and x < 10}
Answer:
Step-by-step explanation:
U={x|x∈N and x<10}
or U={1,2,3,4,5,6,7,8,9}
B={x|x∈N and x is even and x<10}
or
B={2,4,6,8}
C={x|x∈N and x<10}
or
C={1,2,3,4,5,6,7,8,9}
(B∩C)={2,4,6,8}
(B∩C)'={1,3,5,7,9}
Need help with this one :) it’s math
Answer: Point B
Step-by-step explanation:
B is above the x axis which makes it positive, but it is to the left of the y axis which makes it negative
Answer:
B
Step-by-step explanation:
x horizontal y vertical
What were the rental rates?
answer/explanation:
d = daily rental chargem = the charge per mileJon rented a car from a company that charged a daily rental fee and a mileage charge. He rented the car for 6 days and drove 300 miles and was charged $285.6d + 300m = 285His friend Amanda later rented the same car for 7 days and drove 260 miles and was charged $310.7d + 260m = 310by solving the system of equations6d + 300m = 2857d + 260m = 310we findd = $35m = $0.25the daily rental charge is $35.the company charge per mile is $0.25.hope this helps
Calculate the circumference of a circle with a radius of 8 inches.
To calculate the circumference of a circle, you can use the formula:
\(\displaystyle C=2\pi r\)
Where \(\displaystyle C\) represents the circumference and \(\displaystyle r\) represents the radius of the circle.
Given that the radius \(\displaystyle r\) is 8 inches, we can substitute this value into the formula:
\(\displaystyle C=2\pi (8)\)
Simplifying the expression:
\(\displaystyle C=16\pi \)
Thus, the circumference of a circle with a radius of 8 inches is \(\displaystyle 16\pi \) inches.
Note: \(\displaystyle \pi \) represents the mathematical constant pi, which is approximately equal to 3.14159.
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
A bank charges 12% Simple interest p.a on cash loans to its clients.tito has asked for R10000loan amount and has promised to repay the the loan over 4years
Calculate the interest which Tito has to pay on loan ?
Determine the total amount to be paid back
Determine the monthly repayment amount
If Tito took a loan of $10000 from a bank to be repaid within 4 years, at 12% Simple interest per annum, then, he will have to pay overall $4800 as interest to the bank over 4 years and a total payment of $14800 at the end of the 4th year to repay and close off the loan.
As per the question statement, a bank charges 12% Simple interest per annum on cash loans to its clients and Tito took a loan of $10000 from the same bank to be repaid within 4 years.
We are required to calculate the overall interest Tito has to pay to bank if he repays and closes the loan at the end of 4th year, and also to calculate the total payment required to repay and close off the loan at the end of the 4th year.
To solve this question, we need to know the formula to calculate the interest amount in case of simple interest which goes as
Interest (I) \(=(\frac{P*R*T}{100} )\)
where, "P" = Principle amount of Loan,
"R" = Rate of simple interest charged on the principle per annum, and
"T" = Time period within which, the loan is to be repaid.
Here, (P = 10000), (R = 12%) and (T = 4). Then, the overall interest Tito will have to pay at the end of 4th year = \((\frac{10000*12*4}{100}) = (100*12*4)=(48*100)=4800\)
And total amount to be paid to repay and close of the loan at the end of 4th year will be = $[4800 + 10000] = $14800.
Simple interest: As the name itself suggests, "Simple" interest refers to the straightforward crediting of cash flows associated with some investment or deposit.To learn more about Simple Interest, click on the link below.
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help me please and if you are frogy... thanks for the anwers
Answer:
59 degrees
Step-by-step explanation:
Since all of those angles would add up to 180 degrees (since they are on a line), we need to subtract 31 degrees (from angle VYT) and 90 degrees (from the right angle on angle WYX) from 180 to get the measure of angle VYW:
180-31-90 = 59.
happy to help :)
In right triangle ABC, mA = 90°, sin B = 9x + 0.13, and cos C=7x+0.05.
Solve for x.
The value of "x" for given expressions will be -0.04.
What exactly are right angle triangles?A triangle is said to be a right angled triangle, if any of its interior angles is 90 degrees, or if any angle is a right angle. Due to this, this triangle is also referred to as the right triangle or the 90-degree triangle.
Given, Angle A= 90°, sin B = 9x + 0.13 and cos C=7x+0.05
In triangle ABC, (refer to image below)
Sum of all angles = 180°
∠A+∠B+∠C= 180°
90°+∠B+∠C= 180°
∠B+∠C= 180°-90° = 90°
∠B= 90°-∠C
Hence, sin B = sin (90-C) = cos C …….. (∵ sin (90-θ) = cos θ)
Substituting the given values and solving further as,
9x + 0.13 = 7x+0.05
9x - 7x = 0.05 - 0.13
2x = -0.08
x = -0.04
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The coordinates of the point
�
N are
(
0
,
4
)
(0,4) and the coordinates of point
�
O are
(
5
,
4
)
.
(5,4). What is the distance, in units, between the point
�
N and point
�
?
O?
Answer:
Step-by-step explanation:
its is 14