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3 years ago

Write and equation in slope-intercept form of the line with slope -1/2 that contains the point (-4,-3)

Mathematics

1 answer:

Karolina [17]3 years ago

6 0

Answer:

y=-1/2x-5

Step-by-step explanation:

Well we know that the slope is -1/2 so we can write the equation like this:

y=-1/2x+b (This is because of y=mx+b) (m is slope) (b is y-intercept)

Now we can replace the y and x with -4 and -3 because of (x,y). (-4,-3) x is -4 and y is -3

-3=-1/2(-4)+b

-3=2+b

Subtract 2 on both side:

-2-3=2-2+b

-5=b

Answer:

y=-1/2x-5

Hope this helps!

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A store manager at a local clothing store recorded the number of customers that visited the store each day for two weeks. 20, 24

krok68 [10]

Answer:

STEM ______ Leaf

2 ______ 0 0 2 4

3 _______ 6 8

4 _______ 2 7

5 ______ 5 7

6 ______ 1 2 3 5

Step-by-step explanation:

Given that data:

20, 24, 65, 36, 47, 55, 62, 20, 22, 63, 38, 42, 57, 61

STEM ______ Leaf

2 ______ 0 0 2 4

3 _______ 6 8

4 _______ 2 7

5 ______ 5 7

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The unique numbers which starts each value is the stem while the second digit of each unique stem is the leaf.

8 0

3 years ago

How can I solve 2t+4w=6 + 4t +6w= 15 using elimination?

xeze [42]

I hope this helps you

-2/2t+4w=6

-4t-8w= -12

4t+6w=15

-2w=3

w= -3/2

2t-4.3/2=6

2t=12

t=6

3 0

3 years ago

A superhero is trying to leap over a tall building. The function f(x)=-16x^2+200x gives the superhero's height in feet as a func

Gemiola [76]

Answer:

Since $\bigtriangleup \geq 0$ , the superhero makes it over the building.

Step-by-step explanation:

The height is given by the following function:

$f(x) = -16x^{2} + 200x$

Will the superhero make it over the building?

We have to find if there is values of x for which f(x) = 612.

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}$

$\bigtriangleup = b^{2} - 4ac$

If $\bigtriangleup < 0$ , the polynomial has no solutions.

In this question:

$f(x) = -16x^{2} + 200x$

$-16x^{2} + 200x = 612$

$16x^{2} - 200x + 612 = 0$

We have to find $\bigtriangleup$

We have that $a = 16, b = -200, c = 612$ . So

$\bigtriangleup = (-200)^{2} - 4*16*612 = 832$

Since $\bigtriangleup \geq 0$ , the superhero makes it over the building.

7 0

3 years ago

If two quadrilateral are congruent, which congruence statement is correct?

postnew [5]

If the two quadrilateral are congruent, then ABCD = PQRS is the correct congruence statement.

4 0

3 years ago

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butalik [34]

Your answer is 7 1/7

6 0

3 years ago

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