A line with a slope of -8 passes through the points (6,-1) and (w, 7). What is the value of w?

Answers

Answer 1
Answer:

Answer:

The value of w is 5.

Step-by-step explanation:

To find the value of w, we start with the slope equation. Then, we input all of the values we are given.

m(slope) = (y2 - y1)/(x2 - x1)

-8 = (7 - -1)/(w - 6)

-8 = 8/(w - 6)

Now to solve for w, we need to cross multiply.

-8(w - 6) = 8

w - 6 = -1

w = 5

Answer 2
Answer:

Final answer:

To find the value 'w', we use the equation for calculating the slope of a line given two points. After placing the known values into the equation, we solve for 'w' and find that w = 5.

Explanation:

To solve for w, we utilize the formula for the slope of a line given two points (x1, y1) and (x2, y2), which is (y2-y1)/(x2-x1). In our case, we know the slope is -8, and we have one point (6, -1) and another point (w, 7).

So, we set up the equation -8 = (7 - (-1)) / (w - 6). Simplifying this gives -8 = 8 / (w - 6). Cross multiply gives -8*(w - 6) = 8, which simplifies to -8w + 48 = 8. Subtracting 48 from both sides gives -8w = -40, so w = 5.

Learn more about slope of a line here:

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A rectangular pool is 20 feet wide and 50 feet long. A deck used for sunning surrounds the pool. The deck is the same width all the way around the pool. The total area of the deck is 456 square feet. How wide is the walkway?

Answers

deck=456
area of pool=legnth times width=20 times 50=1000

the area of the deck is made up of 4 rectangles and 4 squares, the rectangles' areas come in pairs
areas are
area of deck= 2(20w)+4(w^2)+2(50w)d

456=2(20w)+4(w^2)+2(50w)

distribute

456=40w+4w^2+100w

add like terms

456=4w^2+140w

divide everybody by 4

114=w^2+35w

subtract 114 from both sides

0=w^2+35w-114

find what 2 numbers multiply to get 114 and add to get 35 and factor

-3 and 38

0=(w-3)(w+38)

set each to zero

w-3=0

w=3


w+38=0

w=-38

false since measures in real life cannot be negative

therfor width of walkway=3ft

Answer: 3 feet

Step-by-step explanation: this basically sum up the verifed answer

You backpacked for a distance of 15.75 miles today. If you backpacked at an average speed of 1.26 miles per hour, how many hours did you spend backpacking today

Answers

It would be 12.5. you would divide 15.75 by 1.26
Hi there! First, speed=Distance/time, and the time=distance/speed. The time spent for back packing was 15.75/1.26=12.5 hours. Therefore, the answer is 12.5 hours.

Beth poured the same amount of juice into 10 glasses. She used 2 quarts of juice. How much juice is in each glass?A.2/10 quart

B.2/10 of 2 quarts

C. 10/2 quarts

D. 2/5 quarts

Answers

2 quarts of juice are being divided into 10 glasses. So each glass will hold 2/10 quarts of juice. Your answer is A.

Answer:

2/10 quart

Step-by-step explanation:

Beth poured the same amount of juice into 10 glasses. She used 2 quarts of juice. How much juice is in each glass?

So you switch the numbers and put 2/10 and that will be your answer for this question.

I also put a picture that I got it correct.  

I have this math question and im confused23=x-9;x=14
?
23=__-9
?
23=__

can you help me?

Answers

You are supposed to replace x with what we know and solve.
The answers would be 14 for the first and 23 for the second.

To solve, substitute the value of x, 14, into the equation then solve. However, I believe that you meant to make the - sign a + sign because that's the only way the statement would be true.

23 = x + 9 ; x=14
23 = 14 + 9
23 = 23

there are a total of 127 cars and trucks on a lot. if there are four more than twice the number of trucks than cars, how many cars are on the lot

Answers

C+T=127

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

2C+4=T

-----------

C+(2C+4)=127

3C+4=127

3C=123

C=41

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

When C=41,

41+T=127

T=127-41

T=86

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

Check answer:

86+41=127
The total amount of cars on the lot are 127

Can you explain percents

Answers

A percent is value or part  of a whole value . example 75.5 percent out of 100 percent