MATHEMATICS COLLEGE

Which equation represents the line that passes through points (1, –5) and (3, –17)?A. y = -6x + 1
B. y = 6x + 1
C. y = -6x - 1
D. y = 6x - 1

Answers

Answer 1
Answer:

Answer:

C

Step-by-step explanation:

I’m rusty with my math, so I’m not 100% sure this is correct. My best attempt.

(1,-5) & (3,-17)

1=1x, -5=1y, 3=2x, -17=2y

Formula is y2-y1/x2-x1

-17 - -5 = -12

3 - 1 =2

So -12/2 = -6

Formula for the line is

y-y1 = m (x-x1)

In this equation m=-6

Y - -5 = -6 ( x - 1 )
Answer 2
Answer:

Answer:C

Step-by-step explanation:

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Patti drives a car for 224 miles in 4 hours what is her constant speed

Answers

Answer:

Step-by-step explanation:

The answer is 56 mph
Answer: 56

224/4 = 56
56 x 4 = 224

For any graph of a hyperbola, which of the following statements describes the locations of the foci, vertices, and center with respect to one another ? Select all that apply .A- the foci are closer to the center than vertices

B- the foci are further from the center than the vertices

C- the center is located at the midpoint of the two foci

D- the center is located at the midpoint of the two vertices

Answers

A and D because they are both related unlike C and D.

27-[38-{46-(15-13-2)}]​

Answers

Answer:

27-[38-{46-(15-13-2)}]

27-(38-(46-0)

2-(38-46)

27-(-8)

27+8

35

Is this better

Three-fourths of a number is at least -18​

Answers

Answer:

x ≥ - 24

Step-by-step explanation:

Let's solve this with an equal sign and then decide how to handle the at least part.

3/4 x = -18              Multiply by 4

3/4 * 4 x = -18*4     Cancel the left, multiply the right.

3x = -72                  Divide by 3

x ≥ -24

You need  the greater than to indicate that 3/4 of a number can give something larger than - 18.

You need the equal sign to fulfill at least.

At least, in this question means "get larger."

so x > - 24

Answer:

3/4*X < -18

( put a line underneath the less than sign ) ( Astric's means multiplication )

Step-by-step explanation:

Hope this helped, Have a Wonderful Day!!

Freida drove 18 miles in 24 minutes. At this rate, how many miles did she drive in 6 minutes?

Answers

Answer:

4.5

Step-by-step explanation: you divide 24 by what you do  to get 6 which is 4 then you use 4 to divide 18 which is 4.5 or 4 and a half. Have A Great Day!

Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in hours) it has been burning. After 9 hours of burning, a candle has a height of 25.4 centimeters. After 23 hours of burning, its height is 19.8 centimeters. What is the height of the candle after 22 hours?

Answers

Answer:

Suppose that the height (in centimeters) of a candle is a linear function of

the amount of time (in hours) it has been burning.

After 11 hours of burning, a candle has a height of 23.4 centimeters.

After 30 hours of burning, its height is 12 centimeters.

What is the height of the candle after 13 hours?

:

Assign the given values as follows:

x1 = 11; y1 = 23.4

x2 = 30; y2 = 12

:

Find the slope using: m = %28y2-y1%29%2F%28x2-x1%29

m = %2812-23.4%29%2F%2830-11%29 = %28-11.4%29%2F19

:

Find the equation using the point/slope formula: y - y1 = m(x - x1)

y - 23.4 = -11.4%2F19(x - 11)

y - 23.4 = -11.4%2F19x + 125.4%2F19

y = -11.4%2F19x + 125.4%2F19 + 23.4

y = -11.4%2F19x + 125.4%2F19 + 23.4

y = -11.4%2F19x + 125.4%2F19 + 444.6%2F19

y = -11.4%2F19x + 570%2F19

y = -11.4%2F19x + 30, is the equation

:

What is the height of the candle after 13 hours?

x = 13

y = -11.4%2F19(13) + 30

y = -148.2%2F19 + 30

y = -7.8 + 30

y = 22.2 cm after 13 hrs
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