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Y_Kistochka [10]
2 years ago
15

Line p has an equation of y=-8x+6. Line q, which is perpendicular to line p, includes the point (2,–2). What is the equation of

line q?
Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.
Mathematics
1 answer:
Arturiano [62]2 years ago
4 0

Answer:

y =  \frac{1}{8} x - 2  \frac{1}{4}

Step-by-step explanation:

<u>Slope-intercept </u><u>form</u>

y= mx +c, where m is the slope and c is the y-intercept

Line p: y= -8x +6

slope= -8

The product of the slopes of perpendicular lines is -1. Let the slope of line q be m.

m(-8)= -1

m= -1 ÷(-8)

m= ⅛

Substitute m= ⅛ into the equation:

y= ⅛x +c

To find the value of c, substitute a pair of coordinates that the line passes through into the equation.

When x= 2, y= -2,

-2= ⅛(2) +c

- 2 =  \frac{1}{4}  + c

c =  - 2 -  \frac{1}{4}

c =  - 2 \frac{1}{4}

Thus, the equation of line q is y =  \frac{1}{8} x - 2 \frac{1}{4}.

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alex41 [277]

Answer:

28 pieces

Step-by-step explanation:

14.9 ÷ 0.52 = 28.653

8 0
3 years ago
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Madison and Tanisha went out to lunch. The bill came to $18.94. Madison knows that her lunch cost 9.72. How much did Tanisha's l
Finger [1]

Answer:

Tanisha's lunch cost $9.22.

Step-by-step explanation:

Given that,

Total bill = $18.94

Cost for Madison cost = $9.72

Total cost = Tanisha's lunch + Madison's lunch

18.94 = Tanisha's lunch + 9.72

Tanisha's lunch = 18.94 - 9.72

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So, Tanisha's lunch cost $9.22.

4 0
2 years ago
Helpp I have pictures
Lera25 [3.4K]

Answer:

2³ · 11

Step-by-step explanation:

                                                             88

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                                                                  2            22

                                                                               2       11

Prime factorization: 2³ · 11

8 0
3 years ago
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tabia stores her hair bands in a cube shaped container. the cube has a volume of 64 cubic inches. What is the lenght of the edge
xeze [42]

Answer:

The length of the edge of the cube = 4 inches

Step-by-step explanation:

* Lets describe the cube

- It has 6 faces all of them are squares

- It has 8 vertices

- It has 12 equal edges

∵ The volume of any formal solid = area of the base × height

∵ The base of the cube is a square

∴ Area base = L × L = L² ⇒ L is the length of the edge of it

∵ All edges are equal in length

∴ Its height = L

∴ The volume of the cube = L² × L = L³

* Now we have the volume and we want to find the

 length of the edges

∵ Its volume = 64 inches³

∴ 64 = L³

* Take cube root to the both sides

∴ ∛64 = ∛(L³)

∴ L = 4 inches

* The length of the edge of the cube = 4 inches

5 0
3 years ago
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Answer:

B

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You multiply the 3 numbers.

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