Find the slope of the line contain the given pair of points (-6,4) and (1,0)

Answers

Answer 1

Answer: $(-6,4) \nx_1=-6 \ny_1=4 \n \n(1,0) \nx_2=1 \ny_2=0 \n \n\hbox{the slope}=(y_2-y_1)/(x_2-x_1)=(0-4)/(1-(-6))=(-4)/(1+6)=-(4)/(7)$

The slope is -4/7.

Answer 2

Answer: $m = ( y_(2) - y_(1))/( x_(2) - x_(1))$
$m = (0 - 4)/(1 - (-6))$
$m = (0 - 4)/(1 + 6)$
$m = (-4)/(7)$

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The plans for a rectangular deck call for the width to be 4 feet less than the length. Sam wants the deck to have an overall perimeter of 52 feet. What should the length of the deck be?

Answers

The length of the deck will be equal to 15 feet.

What is a rectangle?

A quadrilateral with four right angles is a rectangle. It can alternatively be described as a parallelogram with a right angle or an equiangular quadrilateral, where equiangular denotes that all of its angles are equal.

Since rectangles have two pairs of equal-length sides, for any rectangle with length L and width W,

its perimeter is always 2L + 2W (or 2(L + w), whichever you prefer). Here, we're told that the width is 4 feet less than the length.

Symbolically, we'd say that W = L - 4. This allows us to write the perimeter entirely in terms of length if we replace our W with the expression on the right side:

2L + 2W = 2l + 2(L - 4) = 2L +2L - 8 = 4L - 8

This expression to come out to 52, the equality 4L - 8 = 52 and solve for L to find what the length has to be:

Adding 8 to either side, the equality becomes 4L = 60. Diving either side by 4 gives us L = 15, which tells us that the length of the deck should be 15 feet.

Therefore, the length of the deck will be equal to 15 feet.

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Since rectangles have two pairs of equal-length sides, for any rectangle with length L and width W, its perimeter is always 2L + 2W (or 2(L + w), whichever you prefer). Here, we're told that the width is 4 feet less than the length. Symbolically, we'd say that W = L - 4. This allows us to write the perimeter entirely in terms of length if we replace our W with the expression on the right side:

2L + 2W = 2l + 2(L - 4) = 2L +2L - 8 = 4L - 8

Sam wants this expression to come out to 52, so we can set up the equality 4L - 8 = 52 and solve for L to find what the length has to be:

Adding 8 to either side, the equality becomes 4L = 60. Diving either side by 4 gives us L = 15, which tells us that the length of the deck should be 15 feet.

Solve the equation and check your answer.
(that is one fifth )
1/5t-3=-17

Answers

$(1)/(5) t$ - 3 = -17

First, simplify $(1)/(5) t$ to $(t)/(5)$ / Your problem should look like: $(t)/(5) - 3 = -17$
Second, multiply both sides by 5. / Your problem should look like: $t - 15 = -85$
Third, add 15 to both sides. / Your problem should look like: $t = -85 + 15$
Fourth, simplify -85 + 15 to get -70. / Your problem should look like: $t = -70$

CHECKING:
$(1)/(5) t - 3 = -17$
First, let t = -70 / Your problem should look like: $(1)/(5) x -70-3=-17$
Second, simplify $(1)/(5) x -70$ to $-(1)/(5)x70$ / Your problem should look like: $-(1)/(5) x 70-3=-17$
Third, simplify $(1)/(5) x70$ to $(70)/(5)$ / Your problem should look like: $- (70)/(5) -3=-17$
Fourth, since 14 goes into 5 to get 70, simplify the fraction by 14. / Your problem should look like: $-14-3=-17$
Fifth, simplify -14 - 3 to get -17 / Your problem should look like: $-17 = -17$

Answer: t = -70

If the centroid of the triangle formed by (x,0), (5.2) and (-8.y) is at (-2,1) then (x,y) is equal toonly proper people will be given this mark...or else will fire u from brainly...