Write an equation of the line that passes through point (−3, 8) and has the slope m=−2.
Answers
Answer:
y=-2x+8
Step-by-step explanation:
slope formula is y=mx+b
slope(m)=-2, and y-value(b)=8
so ya just plug in what ya know to get y=-2x+8
The equation of the line that passes through point (−3, 8) and has the slope m=−2 is \(y=-2x+2\)
What Is y = mx + c?The slope-intercept form of the equation of the line is represented by the equation y = mx + c. It requires the line's y-intercept and slope value, "m." We must first comprehend the line's slope m and y-intercept in order to comprehend this equation for the line.Slope: The letter "m" stands for the line's gradient or slope. The slope here could be zero, positive, or negative. With reference to the x-axis, the tangent of this line's angle of inclination can likewise be used to compute the slope.Intercept: The term "intercept" in this equation refers to the value "c," which is the line's starting point. The length of the line's y-axis intersection, measured from the origin, is known as the intercept. It can also be thought of as the line's intersection point at (0, c) on the y-axis.The slope formula can be used to create the equation y = mx + c. Here, we choose a random point (x, y) on the line and a point (0, c) on the y-axis. We try to determine the slope'm' of the line using these two points. The slope of the line is equal to the difference between the two points' y coordinates divided by the difference between their x coordinates.m = (y - c)/(x - 0) mx = y - c and m = (y - c)/xy = mx + c So, using the formula for the slope of a line, we can successfully deduce the slope-intercept form of the equation of a line.Given, x= -3, y = 8 and m = -2
usiny y =mx+c
we get,
8 = -2*-3+c
8 = 6+c
c = 8-6 = 2
Therefore, The equation of the line that passes through point (−3, 8) and has the slope m=−2 is \(y=-2x+2\)
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Related Questions
Read the proof.
Given: AEEC; BDDC
Prove: △AEC ~ △BDC
Triangle A E C is shown. Line segment B D is drawn near point C to form triangle B D C.
Statement Reason
1. AEEC;BDDC 1. given
2. ∠AEC is a rt. ∠; ∠BDC is a rt. ∠ 2. definition of perpendicular
3. ∠AEC ≅ ∠BDC 3. all right angles are congruent
4. ? 4. reflexive property
5. △AEC ~ △BDC 5. AA similarity theorem
What is the missing statement in step 4?
Answers
The statement that completes the two column proof is:
Statement 4: ∠ACE ≅ ∠BCD
How to Interpret Two column proof?Two column proof is the most common formal proof in elementary geometry courses. Known or derived propositions are written in the left column, and the reason why each proposition is known or valid is written in the adjacent right column.
The two column proof is as follows:
Statement 1. AE ⊥ EC;BD ⊥ DC
Reason 1. given
Statement 2. ∠AEC is a rt. ∠; ∠BDC is a rt. ∠
Reason 2. definition of perpendicular
Statement3. ∠AEC ≅ ∠BDC
Reason 3. all right angles are congruent
Statement 4. ?
Reason 4. reflexive property
Statement 5. △AEC ~ △BDC
Reason 5. AA similarity
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Here is a triangular prism.
A triangular prism, the triangle has base 6 centimeters, sides 5 centimeters each, and height 4 centimeters perpendicular to the 6 centimeter base. The prism has height 10 centimeters.
What is the volume of the prism, in cubic centimeters?
Answers
33 views
Related Questions (More Answers Below)
Drake is saving money to buy a new computer for $1,200. He already has $450 and plans $30 a week. The function y = 30x + 450 represents the amount Drake has saved after x weeks. How many weeks will it take Drake to save enough money to buy the computer?
Answers
Answer:
25 weeks
Step-by-step explanation:
step 1. find y which is what you are trying to find which is how long it will take for drake to make $1200
step 2.- subtract 450 from each side
1200=30x+450
-450 -450
750=30x
step 3.- divide by 30 on both sides
750=30x
30 30
x=25
i dont know if this helps but i am still learning how to explain on here. :)
Answer:
it will take him 25 weeks
Step-by-step explanation:
because 1,200 - 450= 750, and 750 divided by 30 is 25, therefore it will take him 25 weeks.
What is the volume of a hemisphere with a radius of 34.1 in, rounded to the nearest tenth of a cubic inch?
Answers
Answer: 132,031.2 cubic inches
Step-by-step explanation:
The formula for the volume of a hemisphere is (2/3) × π × r³.
Substituting the given radius, we get:
(2/3) × π × (34.1 in)³ ≈ 132,031.3 cubic inches
Rounding this to the nearest tenth of a cubic inch gives:
132,031.3 ≈ 132,031.2 cubic inches
Therefore, the volume of the hemisphere is approximately 132,031.2 cubic inches.
The volume of one cylinder is 4times the volume of another
.a) If the diameters of the two cylinders are the same, how do the heights compare? Explain.
b)How could the heights compare if the diameters are different
Answers
(a) The height of the larger cylinder is 4 times the height of the smaller cylinder.
(b) The height of the larger cylinder will increase by a factor 4 when the diameters are different.
What are the heights of the cylinders?The volume of the smaller cylinder is given by:
V₁ = πr²h₁
where;
h₁ is the height of the smaller cylinderThe volume of the larger cylinder is given by:
V₂ = πr²h₂
We know that V₂ is 4V₁;
πr²h₂ = 4πr²h₁
h₂ = 4h₁
The heights of the cylinders when the diameters are different;
πr₂²h₂ = 4πr₁²h₁
πd₂²h₂/4 = 4πd₁²h₁/4
πd₂²h₂= 4πd₁²h₁
h₂ = 4d₁²h₁/d₂²
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What is the square root of 1 to the second power
Answers
Answer:
1
Step-by-step explanation:
The second power and square root cancel each other (second power means squared by the way)
write an equation for the line that has slope undefined and goes through the point
(1,2)
write the equation in slope-intercept form
Answers
The equation of the line with an undefined slope that passes through (1, 2) is expressed in slope-intercept form as: x = 1.
What is the Equation of a Line in Slope-intercept Form?If a line has an undefined slope, it means the line is a vertical line that intercepts only the x-axis at a point. The equation of this type of line can be expressed in slope-intercept form as x = b, where b is the x-coordinate of the point it passes through.
We are given that a line with an undefined slope passes through the point, (1, 2). The x-coordinate of this point is 1. This means the line intercepts the x-axis at 1.
Thus, in slope-intercept form, we can write the equation of this line as x = 1.
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How many one-half cubes with dimensions of 1/2x1x1 fit in a unit cube? 1
2
4
6
Answers
Answer:
Option 2
Step-by-step explanation:
A cube with 1/2 * 1* 1 will have a volume of 0.5 cubic cm
While a unit cube has a volume of 1 cubic cm
So,
2 cubes of these dimensions can fit into a unit cube.
Answer:
2
Step-by-step explanation:
volume of the unit cube:
V = 1 * 1 * 1 = 1
volume of the half-cube:
V = 1/2 * 1 * 1 = 1/2
number of half cubs that fit in unit cube:
1/(1/2) = 2
Answer: 2
Please s helppppppo!!!!
Answers
Answer:
22
Step-by-step explanation:
Hey There!
So if you didn't know angle H is a right angle. So we are given two angles and they want us to find the missing angle
Remember all of the angles of a triangle add up to equal 180
so we subtract the given angles from 180 to find the missing angle
180-90-68=22
so we can conclude that angle G = 22
round 7,391 to the nearest thousand
Answers
Answer:
7,000
Step-by-step explanation:
7,391 is 7,000
we need to see the hundred's place in the number
so here it's 3 in hundred's place :- 7,391
so if the hundred's place is greater than we have to take the nearest thousand that would be 8,000
as it is less than 5 we have to take 7,000
6w^3+4w^2+3w+2
factor the polynomial
Answers
Answer:
\((3w+2)(2w^2 + 1)\)
Step-by-step explanation:
\(6w^3+4w^2+3w+2\)
\(\implies (6w^3+4w^2)+(3w+2)\)
Factor out \(2w^2\) from first parentheses and 1 from second:
\(\implies 2w^2(3w+2) + 1(3w+2)\)
Factor out common term \((3w+2)\):
\(\implies (3w+2)(2w^2 + 1)\)
If (x) =
5x−2/
6
and g(x) =
6x+2/
5
, Prove that fog(x) = gof(x).
Answers
Answer:
Step-by-step explanation:
question must be f(x)=5x-2/6
fog(x)= [5(6x+2/5)-2]/6 = [6x+2-2] /6 = x
gof(x)= [6(5x-2/6) +2]/5 = [ 5x-2+2]/5 = x
hence fog(x)=gof(x)
x² - 7x = 9
solve the following equations by using the quadratic formula.Leave your answer in surd form
Answers
Answer:
x=7+ the square root of 85 /2 , x = 7- the square root of 85/2
Step-by-step explanation: hope I helped
Answer:
\(x = \frac{7 + \sqrt{85} }{2} \:\: or \:\: \frac{7 - \sqrt{85} }{2}\)
Step-by-step explanation:
__________________________________________________________
FACTS TO KNOW BEFORE SOLVING :-
Quadratic Formula :-
For a quadratic equation ax² + bx + c = 0 , by using quadratic formula the roots of the equation are :-
\(x = \frac{-b + {\sqrt{b^2 - 4ac} } }{2a} \:\: or \:\: \frac{-b - \sqrt{b^2 - 4ac} }{2a}\)
__________________________________________________________
Lets solve the equation x² - 7x - 9 = 0 by quadratic formula.
\(=> x = \frac{-(-7) + \sqrt{(-7)^2 - 4 \times 1 \times (-9)} }{2 \times 1} \:\: or \:\: \frac{-(-7) - \sqrt{(-7)^2 - 4 \times 1 \times (-9)} }{2 \times 1}\)
\(=> x = \frac{7 + \sqrt{85} }{2} \:\: or \:\: \frac{7 - \sqrt{85} }{2}\)
The perimeter of the triangle is 13 inches. What is the length of the shortest side?
Answers
Answer:
x/2 inches
Step-by-step explanation:
Write the slope-intercept form of the equation of the line through the given point with the given slope.
through: (1, 1), slope = 6)
through: (-4, -4), slope = 1/4)
through: (4, 5), slope = 7/4)
through: (-4, -5), slope = 0)
through: (5, 1), slope = -2/5
Answers
Answer:
through: (-4, -5), slope = 0)
Step-by-step explanation:
gd afternoon
have a lovely day
Please help on these 6 “?’s”
Answers
Give a 98% confidence interval for one population mean, given asample of 28 data points with sample mean 30.0 and sample standarddeviation s = 2.40.
Answers
We have a sample of 28 data points. The sample mean is 30.0 and the sample standard deviation is 2.40. The confidence level required is 98%. Then, we calculate α by:
\(\begin{gathered} 1-\alpha=0.98 \\ \alpha=0.02 \end{gathered}\)The confidence interval for the population mean, given the sample mean μ and the sample standard deviation σ, can be calculated as:
\(CI(\mu)=\lbrack x-Z_{1-\frac{\alpha}{2}}\cdot\frac{\sigma}{\sqrt[]{n}},x+Z_{1-\frac{\alpha}{2}}\cdot\frac{\sigma}{\sqrt[]{n}}\rbrack\)Where n is the sample size, and Z is the z-score for 1 - α/2. Using the known values:
\(CI(\mu)=\lbrack30.0-Z_{0.99}\cdot\frac{2.40}{\sqrt[]{28}},30.0+Z_{0.99}\cdot\frac{2.40}{\sqrt[]{28}}\rbrack\)Where (from tables):
\(Z_{0.99}=2.33\)Finally, the interval at 98% confidence level is:
\(CI(\mu)=\lbrack28.94,31.06\rbrack\)Candy choices at the movie theater are an example of which type of data? Statistic Extreme Qualitative Quantitative
Answers
The example of choosing candy falls under the dignified criteria of Qualitative data. Then the correct option required is Option B.
Qualitative data refers to data that is considered descriptive and conceptual which are collected through questionnaires, observation, and interviews. candy choices in the given question fall under the description of Qualitative data. Due to the following reasons
It is non-numerical and readily describes the characteristics of objects, people, places, etc.No calculations are included for choosing a particular option that will in conclusion help in determining the better candy.No involvement of 2nd person's preferences or choices to find a suitable candy.No limiting variables to hold the imagination, are required to select the perfect candy.To learn more about Qualitative data,
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∠3 and ∠6 are _______ angles
Answers
Alternate interior angles are congruent. so ∠3 = ∠6 -------> by alternate interior angles.
________________
Hope this makes sense!
-Lexi
How would you describe the following events, of randomly drawing a King OR a card
with an even number?
a) Mutually Exclusive
b)Conditional
c)Independent
d)Overlapping
Answers
Events, of randomly drawing a King OR a card with an even number describe by a) Mutually Exclusive.
The events of randomly drawing a King and drawing a card with an even number are mutually exclusive. This means that the two events cannot occur at the same time.
In a standard deck of 52 playing cards, there are no Kings that have an even number.
Therefore, if you draw a King, you cannot draw a card with an even number, and vice versa.
The occurrence of one event excludes the possibility of the other event happening.
It is important to note that mutually exclusive events cannot be both independent and conditional. If two events are mutually exclusive, they cannot occur together, making them dependent on each other in terms of their outcomes.
The correct option is (a) Mutually Exclusive.
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Identify the phrase that relates to the study of geography.
A. a record of events over time and their meanings
B. the effect living and nonliving things have on each other
C. the creation and use of goods and services
D. the study of rocks and fossils
Answers
Answer:
D
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
I did the test in MIddle school and its in the lesson that's where I found it so next time ur stuck on a question look at the lesson then if your stilll stuck ask brainly k?
Express 11 to 35 as a fraction
Answers
Answer:
35 as a fraction is 7/20
Step-by-step explanation:
Answer:
11/35
Step-by-step explanation:
Determine which of the following subsets of R3×3 are subspaces of R3×3 by answering yes or no for each of them.
1. The invertible 3×3 matric
2. The symmetric 3×3 matrices
3. The 3×3 matrices whose entries are all integers
4. The upper triangular 3×3 matrices
5. The singular 3×3 matrices
6. The 3×3 matrices with trace 0 (the trace of a matrix is the sum of its diagonal entries)
7. The 3×3 matrices in reduced row-echelon form
8. The 3×3 matrices with all zeros in the first row
Answers
Yes, since the set of invertible matrices is closed under addition and scalar multiplication and contains the zero matrix.
Yes, since the set of symmetric matrices is closed under addition and scalar multiplication and contains the zero matrix.
Yes, since the set of matrices with integer entries is closed under addition and scalar multiplication and contains the zero matrix.
Yes, since the set of upper triangular matrices is closed under addition and scalar multiplication and contains the zero matrix.
No, since the set of singular matrices is not closed under scalar multiplication.
Yes, since the set of matrices with trace 0 is closed under addition and scalar multiplication and contains the zero matrix.
No, since the set of matrices in reduced row-echelon form is not closed under addition.
No, since the set of matrices with all zeros in the first row is not closed under addition.
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Melissa and Rachel like to make funny hats. Melissa has made
20
2020 zebra-printed hats, and Rachel has made
h
hh striped hats. Together they have made a total of
42
4242 hats.
Write an equation to describe this situation.
Answers
Answer:
20 + r = 42
Step-by-step explanation:
Let r = the number of hats Rachel has made
Melissa's hats + Rachel's hats = total hats
20 + r = 42
To make an equation on how many Rachel made, we can just add.
20 + h = 42
Solve for h.
20 + h = 42
~Subtract 20 to both sides
h = 22
Best of Luck!
A specific type of dwarfism is a genetically inherited recessive trait. based upon this pedigree. What is the probability that max and natalie will have another affected daughter?
Answers
The probability of an event that has two possible outcomes is 1/2
What is Probability?This refers to the likelihood of an event occurring and this can be found by calculating using a mathematical model.
It should be noted that your question is incomplete so I gave you a general overview to help you get a better understanding of the concept.
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Which statement is true about the equation (x – 4)(x + 2) = 16?
The equation x – 4 = 16 can be used to solve for a solution of the given equation.
The standard form of the equation is x2 – 2x – 8 = 0.
The factored form of the equation is (x + 4)(x – 6) = 0.
One solution of the equation is x = –6.
Answers
Answer:
The Answer is C
Step-by-step explanation:
21-3+1 8÷6 Help pleaseeeeeeeeee
Answers
Answer:21
Step-by-step explanation:
Answer:
24
Step-by-step explanation:
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14. What is the value of e-t? Round to the nearest hundredth.
1. 0.14
2. 0.37
3. 0.61
4. 1.65
Answers
The value of e⁻⁽¹/²⁾ will be 0.61. thus, Option c is correct.
What are mathematical operations?The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.
To find the value of e⁻⁽¹/²⁾ Where e is Euler's number,
Euler's Number 'e' is a numerical constant used in mathematical calculations. The value of e is 2.7182....so on. Just like pi(π), e is also an irrational number. It is described basically under logarithm concepts.
So the value of the asked expression can be determined by simplifying
=> e⁻⁽¹/²⁾
=> (2.7182)⁻⁽¹/²⁾
=> 0.6063 ≅0.61
therefore, the value of e⁻⁽¹/²⁾ will be 0.61.
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Calculate area of triangle
Answers
Answer:
60cm^2
Step-by-step explanation:
15 times 8 = 120
divided by 2 = 60
Answer:
60
Step-by-step explanation:
8x15=120
120/2=60
After a rainy spring, beavers build a dam that stretches 235 feet across and is 3 feet tall. around the bend, the river is narrower, so a second beaver dam spans 115 feet across. if the proportions of the two dams are the same, how tall is the second dam?
Answers
Answer:
well,
Step-by-step explanation:
as you see.....uhhh.....hmmmm.....if you first a _________________________________