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telo118 [61]
3 years ago
7

Find the equation of the line through point (-5,5) and perpendicular to y = 5/9x - 4

Mathematics
1 answer:
tankabanditka [31]3 years ago
7 0

Answer:

9x+5y=-20

Step-by-step explanation:

y = \frac{5}{9} x - 4

compare with that y=mx+c

where m=slope .

So after comparing we get m=\frac{5}{9}

As the lines are perpendicular

m1*m2=\ -1

m2 \ =\ \frac{-1}{m1}

therefore m2=\frac{-9}{5}

Now from the equation

y - b = m(x - a ) this equation passing to the point (-5,5) with m=\frac{-9}{5}

y-5=\frac{-9}{5} (x+5)\\5y-25=-9x\ -45\\9x+5y=-20

Therefore equation is

9x+5y=-20

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the average starting salary for this year's graduates at a large university (lu) is $55,000 with a standard deviation of $6,000.
alexira [117]

0.84% of the graduates will receive the tax break

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean  and standard deviation , the z-score of a measure X is given by:

Z = x - μ / σ

Z-scores are used to measure how far a measure is from the mean. We find the p-value associated with this Z-score by looking at the z-score table after finding the Z-score. The p-value represents the probability that the measure is smaller than X, which is the percentile of X. The probability of the measure being greater than X is calculated by subtracting 1 from the pvalue.

μ = $55,000 σ = $6,000

This is the pvalue of Z when X = $39,600. So

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1 year ago
Help im still lazy lol
jonny [76]

Answer:

t=-105

Step-by-step explanation:

-\frac{1}{15} t =7

What we need to do here is to isolate t.

Let's multiply both sides by -15.

-\frac{1}{15}t  * -15 = 1t

7*-15= -105

t=-105

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3 years ago
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URGENT!!!! What is the distance from (−2, 4) to (0, −6)? Round your answer to the nearest hundredth. 9.23 units 10.20 units 10.9
serg [7]
The distance between two points knowing theirs coordinates:

AB =√[(x₂-x₁)² +(y₂-y₁)²]; ===>A(-2,4) & B(0,-6) Given
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AB =√[(0-(-2))²+(-6-4)²] =√(104) = 10.198 ≈ 10.2
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3 years ago
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tino4ka555 [31]

Step-by-step explanation:

It is given that Joe paid 14.00 for a board game this is 70% of the original price what is the original price.

Let the original price of board game be

X.

x * 70/100 = 14

x * 7/10 = 14

Multiply both sides by 10.

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Divide both sides by 7.

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1 year ago
What is <br> 2(3x + 4) = -28
Fynjy0 [20]

Answer:

x= 10/3

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Step-by-step explanation:

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