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iren [92.7K]
3 years ago
11

Write the slope- intercept form of the equation of the line passing through the point ( -1,-2) and parallel to the line y=-5x-3

Mathematics
1 answer:
Brilliant_brown [7]3 years ago
7 0

Answer:

y=-5x-3

Step-by-step explanation:

Parallel means that it has the same slope (-5)

then, using the point slope formula,

y-(-2)=-5(x-(-1))

y+2=-5x-1

y=-5x-3

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A. 19 degrees.

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Match each figure with the number of edges it has.
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Rectangular prism- 12 edges

Rectangular pyramid- 8 edges

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I hope this helps!

6 0
3 years ago
A vending machine automatically pours soft drinks into cups. The amount of soft drink dispensed into a cup is normally distribut
klemol [59]

Answer:

Step-by-step explanation:

Since the amount of soft drink dispensed into a cup is normally distributed, we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = amount in ounce of soft drink dispensed into cup.

µ = mean amount

σ = standard deviation

From the information given,

µ = 7.6oz

σ = 0.4 oz

a) The probability that the machine will overflow an 8-ounce cup is expressed as

P(x > 8) = 1 - P(x ≤ 8)

For x = 8,

z = (8 - 7.6)/0.4 = 1

Looking at the normal distribution table, the probability corresponding to the z score is 0.84

P(x ≤ 8) = 1 - 0.84 = 0.16

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4 0
3 years ago
I don’t understand this one
Masja [62]

Answer:

  see below

Step-by-step explanation:

Put -1 where x is in each expression and evaluate it.

__

You will find that the expression is zero when the numerator is zero. And you will find the numerator is zero when it has a factor that is equivalent to ...

  (x +1)

Substituting x=-1 into this factor makes it be ...

  (-1 +1) = 0

__

Evaluating the first expression, we have ...

\dfrac{4(x+1)}{(4x+5)}=\dfrac{4(-1+1)}{4(-1)+5}=\dfrac{4\cdot 0}{1}=0

This first expression is one you want to "check."

You can see that the reason the expression is zero is that x+1 has a sum of zero. You can look for that same sum in the other expressions. (The tricky one is the one with the factor (x -(-1)). You know, of course, that -(-1) = +1.)

5 0
3 years ago
Lines a and b are parallel.
Jlenok [28]
The value of X is 16 because the lines intercept
7 0
3 years ago
Read 2 more answers
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