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Inessa [10]
3 years ago
10

Write the equation of the line with a slope of 1/4 that passes through the point (8, -3).

Mathematics
1 answer:
pantera1 [17]3 years ago
8 0

Answer:

-7

Step-by-step explanation:

-8 = (-1/4)(4) + b

-8 = -1 + b

b = -7

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A box with no top is to be constructed from a piece of cardboard whose length measures 88 in. more than its width. the box is to
MariettaO [177]

Let x be the width of the cardboard (which means the length of the cardboard is x+88), then the dimensions of the box are:

Length = [(x + 88) - 2(33)]

Width = x - 2(33)

Heighth = 33

Volume = length · width · heighth

144,144 = [(x + 88) - 2(33)] · [x - 2(33)] · 33

144,144 = (x+22)(x-66)(33)

4368 = (x+22)(x-66)

4368 = x² - 44x - 1452

0 = x² - 44x - 5820

use the quadratic formula to calculate that x = 101

Answer: cardboard width = 101, cardboard length = 189

4 0
3 years ago
Identify the reference angle
ser-zykov [4K]

Answer:

Below in bold.

Step-by-step explanation:

300 degrees - reference angle is |360 - 300 |= 60 degrees

225 = 225 - 180 = 45 degrees

480 = 480 - 360 = 120 so it is 180 - 120 = 60 degrees.

-210 = |-210 + 180| = 30 degrees.

7 0
3 years ago
A certain shop repairs both audio and video components. Let A denote the event that the next
alexdok [17]

Answer:

0.12 is the required probability.

Step-by-step explanation:

We are given the following in the question:

A: next  component brought in for repair is an audio component

B: event that the next component  is a compact disc player

B \in A

P(A)= 0.6\\P(B) =0.05

We have to evaluate:

P(B|A) = \dfrac{P(B\cap A)}{P(A)}\\P(B|A) = \dfrac{P(B)}{P(A)}\\\\P(B|A) = \dfrac{0.05}{0.6} = 0.12

0.12 is the required probability.

3 0
3 years ago
What is the expression of 8 more than a number x
aev [14]

"more" means added to, or addition. So 8 more than 'x' is:

x + 8

8 0
3 years ago
Solve the equation −7t−1=20
shutvik [7]

Answer:

t=-3

because if you multiply -7 by 3 and then subtract, you will get 20

6 0
2 years ago
Read 2 more answers
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