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2 years ago

Write the equation in slope- intercept form of the line that has a slope of -3 and contains the point (1,1)

1 answer:

8 0

Slope-intercept form is y = mx + b, where m is the slope of the line and b is the y-intercept.

Since we know the slope, plug it into the base equation:
y = mx + b
y = -3x + b

We don't know what b is, so plug the point we have into the equation:
y = -3x + b
1 = -3(1) + b
1 = -3 + b
b = 4

Now that we know b, input it into the partial equation:
y = -3x + b

y = -3x + 4 is the equation of the line.

You might be interested in

Secθ= a. (sqrt tan^2 + 1) b. 1/sinθ c. (sqrt cos^2 + 1)

Dmitry_Shevchenko [17]

Answer:

secθ= $\sqrt{ \tan^{2} θ - 1 }$

6 0

2 years ago

The original quantity is 20 and the new quantity is 15. Adam incorrectly says the percent decrease is about 14.29%. What is the

Yuki888 [10]

Answer: A. divided the difference of the two quantities by the sum of the two quantities.

===================================================

Explanation:

The difference of the quantities is 20-15 = 5

The sum of the quantities is 20+15 = 35

Dividing those results leads to 5/35 = 0.142857 which rounds to 0.1429

That converts to 14.29%

This is likely the path Adam took. This path is incorrect. The correct steps are shown below

---------------------

Difference = 20-15 = 5

Divide the difference over the original quantity

5/20 = 1/4 = 0.25 = 25%

We have a 25% decrease because the new quantity (15) is smaller than the old quantity (20)

----------------------

Here's another way to approach the problem

A = old value = 20

B = new value = 15

C = percent change

C = [ (B-A)/A ] * 100%

C = [ (15-20)/20 ] * 100%

C = (-5/20)*100%

C = -0.25*100%

C = -25%

The negative C value means we have a negative percent change, ie we have a percent decrease. So this is another way to get a 25% decrease.

4 0

2 years ago

Read 2 more answers

I NEED ANSWER ASAP! I WILL GIVE BRAINELIEST!!!!!! Construct a right triangle whose legs are in the ratio 3:4. What are the ratio

Gala2k [10]

Answer:

3 : 5, 4: 5

Step-by-step explanation:

Let the common multiplier of the given ratios be x.

Therefore, lengths of the legs of right triangle would be 3x and 4x

By Pythagoras Theorem:

${hyp}^{2} = {(3x)}^{2} + {(4x)}^{2} \\ = 9 {x}^{2} + 16 {x}^{2} \\ = 25 {x}^{2} \\ hyp = \sqrt{25 {x}^{2} } \\ hyp = 5x \\ \\ ratios \: of each \: leg \: to \: the \: hypotenuse \\ \frac{3x}{5x} = 3 : 5 \\ \\ \frac{4x}{5x} = 4 : 5$

5 0

2 years ago

X/2 = 4/16 solve for x Also: if possible/ any please show work!

lana66690 [7]

X/2 = 4/16

This is where you would use cross-multiplication.
Multiply the x with 16 and the 2 with 4.

16x = 8

Now divide everything by 16.
x = 0.5

6 0

2 years ago

A cylinder has a height of 10 inches and a radius of 17 inches. What is its volume? Use ≈ 3.14 and round your answer to the ne

Gelneren [198K]

Steps:

Radius= 17in

Height= 10in

Formula: V=πr2h

Shape: Right cylinder

Solved for volume

H= Height

R= Radius

Description:

We know that R is 17 inches, and H is 10 inches. Since we are finding the volume we use the formula V=πr2h to calculate. After calculating your answer will come as V≈9079.2in³. You also said to round your answer to the nearest hundredth. After rounding your answer to th enearest hundredth your answer will come as 9,079.20.

Answer: V≈9079.2in³

Round to the nearest hundredth = 9,079.20

Please mark brainliest

Hope this helps.

8 0

2 years ago