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oee [108]
3 years ago
9

Write an equation in slope-intercept form of the line shown. (-4,0) and (1,-5)

Mathematics
1 answer:
Irina18 [472]3 years ago
5 0

The slope intercept form is y = -x - 4

To find the slope intercept form given a couple of points, start by finding the slope using the slope equation.

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

m = (-5 - 0)/(1 - -4)

m = -5/5

m = -1

Now we look for the intercept using slope intercept form, our slope and a point.

y = mx + b

0 = -4(-1) + b

0 = 4 + b

-4 = b

Now we can use those two things top model the equation.

y = -x - 4

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April shoots an arrow upward into the air at a speed of 32 feet per second from a platform that is 11 feet high. The height of t
dusya [7]

Answer:

27 ft

the maximum height of the​ arrow is 27 ft

Step-by-step explanation:

Given;

The height of the arrow is given by the function;

h(t) = -16t^2 + 32t + 11

Maximum height is at point when dh(t)/dt = 0.

Differentiating h(t), we have;

dh/dt = -32t + 32 = 0

Solving for t;

-32t = -32

t = -32/-32 = 1

t = 1 (time at maximum height is t = 1)

Substituting t=1 into h(t), to determine the value of maximum height;

h(max)= -16(1^2) + 32(1) + 11

h(max) = 27 ft

the maximum height of the​ arrow is 27 ft.

8 0
3 years ago
What is the solution set for the open sentence, using the given replacement set ?
77julia77 [94]

Answer:

x = 3

Step-by-step explanation:

first move 7 into RHS in addition

then move t into RHS in division

4 0
3 years ago
Find the area of a parallelogram with sides of 6 and 12 and an angle of 60°.
Anna007 [38]

ANSWER

36√3 square units.

EXPLANATION

The area of a parallelogram is obtained by multiplying the base by the height.

We use the sine ratio to obtain the height.

\sin(60 \degree)  =  \frac{h}{6}

h = 6 \sin(60 \degree)

h = 3 \sqrt{3}

The area becomes:

12 \times 3 \sqrt{3}  = 36 \sqrt{3} {units}^{2}

4 0
3 years ago
The length of a rectangle is six times the width. The perimeter of the rectangle is 28 inches. What is the area of the rectangle
pochemuha

Answer:

i think its 150

Step-by-step explanation:

5 0
3 years ago
Find the value of x for the following system of equations. x + y = 5 x - y = -7 -1 1 -2
bixtya [17]

Answer:

x=-1, y=6. (-1, 6).

Step-by-step explanation:

x+y=5

x-y=-7

---------

2x=-2

x=-2/2

x=-1

-1+y=5

y=5-(-1)=5+1=6

4 0
4 years ago
Read 2 more answers
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