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1 year ago

What is the equation for the line shown, in slope-intercept form?

Mathematics

2 answers:

77julia77 [94]1 year ago

7 0

Answer:

D) y = -2x - 4

Step-by-step explanation:

Use the points:

(-2, 0) and (0, -4)

The y- intercept is - 4 and the slope is:

m = (-4 - 0)/(0 - (-2)) = -2

The line is:

y = -2x - 4

Correct choice is D

Effectus [21]1 year ago

5 0

Answer: Solution In Photo

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The length of a rectangle is 15 ft greater than its width. If each dimension is decreased by 2 ft, the area will be decreased by

padilas [110]

Answer:

length = 35ft, width = 20ft

Step-by-step explanation:

We are working with length (L), width (W), and area (A). We are asked to find the 2 dimensions. The question tells us that L = W + 15, so we can express L in terms of W. However, we still don't know what A is. Since we have 2 unknowns, we somehow need to develop 2 equations to get a solvable system.

We can set up the first equation using the relationship between L and W:

$W(W+15)=A$

We can set up the second equation using the information in the second sentence:

$(W-2)(W+13)=A-106$

Now we can plug the first equation, already isolated for A, into the second equation and solve for W:

$(W-2)(W+13)=W(W+15)-106\\W^2+11W-26=W^2+15W-106\\4W=80\\W=20$

A pretty nasty-looking equation actually becomes pretty easy to solve. We know the length is 15ft greater than the width, so if W=20, L=35.

6 0

2 years ago

PLZZZ HELP DUE IN 5 MINS

iris [78.8K]

Answer:

{(2, 9), (5, 9), (1, -6), (-5, 5), (2,9), (5,9), (1,−6), (−5,5)}

Step-by-step explanation:

recall that for a function to be valid, every input must give one and only 1 output. (i.e every x-ordinate must have only one unique corresponding y-ordinate)

I have highlighted in bold and underlined the entries for each of the other choices where an x-value gives more than one possible y-value, hence these are not functions. only the first option satisfies this condition:

{(2, 9), (5, 9), (1, -6), (-5, 5), (2,9), (5,9), (1,−6), (−5,5)} Every x-value has a unique y-value, so it is possible that this is a function.

{(6, 6), (6, 8), (-8, -7), (-3, -8), (6,6),(6,8),(−8,−7),(−3,−8)} (not a function)

{(1, 8), (9, -3), (7, -4), (7, -6), (1,8),(9,−3),(7,−4),(7,−6)} (not a function)

{(-5, -1), (-3, -7), (-5, 3), (-7, -4), (−5,−1),(−3,−7),(−5,3),(−7,−4)} (not a function)

4 0

2 years ago

How do i find the area of a trapezoid (pictures provided)

scoray [572]

Answer:

(10x - 5) square units.

Step-by-step explanation:

Let the lengths of equal sides be x units.

Hence, AB + AD + DC = x + x + x = 3x

Therefore, BC = 3x - 2

$Area \: of \: trapezoid \\ = \frac{1}{2} (AD + BC) \times 5 \\ = \frac{1}{2} (x + 3x - 2) \times 5 \\ = \frac{1}{2} (4x - 2) \times 5 \\ = \frac{1}{2} \times 2 (2x - 1) \times 5 \\ = (2x - 1) \times 5 \\ = (10x - 5) \: {units}^{2}$