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Vlad1618 [11]
3 years ago
15

4. Write the equation of line that is perpendicular to y= -1/3x + 7 and has a y intercept of -1.

Mathematics
1 answer:
jok3333 [9.3K]3 years ago
5 0

Answer:

<h2>          y = 3x - 1</h2>

Step-by-step explanation:

Two lines are perpendicular if the product of theirs slopes is equal -1:

y=m₁x+b₁   ⊥   y=m₂x+b₂   ⇒    m₁×m₂ = -1

y = -1/3x + 7   ⇒   m₁=-1/3

-1/3×m₂ = -1        ⇒    m₂ = 3

The y-intercept is b=-1 so the equation in  slope-intercept form:

                                                y = 3x - 1

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Answer:

8989

Step-by-step explanation:

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3 years ago
Coach Walker wants to buy equal numbers of footballs and basketballs for her PE class. The footballs cost $9 each, and the baske
DENIUS [597]

Answer:

13 footballs and 13 basketballs

Step-by-step explanation:

Let f = footballs

b = basketballs

f=b since we are buying an equal number

9f+7b = 208

Substitute f=b

9f+7f = 208

16f = 208

Divide by 16

16f/16 = 208/16

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Since f=b

We are buying 13 basketballs

8 0
3 years ago
Need Help<br>*Please Show Work*​
sergejj [24]

Hi there! :)

Answer:

y = -2x + 3

Step-by-step explanation:

We can write an equation in slope-intercept form. Use the slope formula to find the rate of change in the table:

m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}

Plug in values from the table:

m  = \frac{5 - 7}{-1 - (-2)}

Simplify:

m = -2 (rate of change)

Use a point from the table (-2, 7) and the slope to solve for the equation for the linear function:

7 = -2(-2) + b

7 = 4 + b

7 -4 = b

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Rewrite:

y = -2x + 3 is the equation for the linear function.

8 0
4 years ago
(x-4)/(x+5) less than or equal to 0<br> solve
Kay [80]
This is the solution

3 0
3 years ago
the length.of a hypotenuse of a right triangle is 32 inches and the length of one of the lrgs is 18 inches. what is the length,
Elza [17]
Let: hypotenuse = a , known leg = b , unknown leg = c
According to Pythagoras' Theorem:  a^{2}  =   b^{2}  +  c^{2}
            c^{2}  =  a^{2}  -  b^{2}
            c^{2} = (32  inches)^{2}  -  (18  inches)^{2}
                        c = \sqrt{(32  inches)^{2}  -  (18  inches)^{2}}
                        c =  3.74 inches
                        
∴ the length of the hypotenuse to 1d.p. ≈ 3.74 inches
            
6 0
3 years ago
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