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2 years ago

The equation of a line is y=4x+3/2, what is the slope of a line that is perpendicular to this line?

Mathematics

1 answer:

Elenna [48]2 years ago

5 0

Answer:

y=1/4x+3/2

Step-by-step explanation:

A perpendicular line will be the reciprocal, or opposite, of itself. So if you have 4, which is actually 4/1, it becomes 1/4.

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One satellite is scheduled to be launched from Cape Canaveral in Florida, and another launching is scheduled for Vandenberg Air

Lisa [10]

Answer:

$P(A) = 0.45$

$P(B) = 0.32$

Step-by-step explanation:

Given

$P(A) > P(B)$

$P(A\ u\ B) = 0.626$

$P(A\ n\ B) = 0.144$

Required

Find P(A) and P(B)

We have that:

$P(A\ u\ B) = P(A) + P(B) - P(A\ n\ B)$ --- (1)

and

$P(A\ n\ B) = P(A) * P(B)$ --- (2)

The equations become:

$P(A\ u\ B) = P(A) + P(B) - P(A\ n\ B)$ --- (1)

$0.626 = P(A) + P(B) - 0.144$

Collect like terms

$P(A) + P(B) = 0.626 + 0.144$

$P(A) + P(B) = 0.770$

Make P(A) the subject

$P(A) = 0.770 - P(B)$

$P(A\ n\ B) = P(A) * P(B)$ --- (2)

$0.144 = P(A) * P(B)$

$P(A) * P(B) = 0.144$

Substitute: $P(A) = 0.770 - P(B)$

$[0.770 - P(B)] * P(B) = 0.144$

Open bracket

$0.770P(B) - P(B)^2 = 0.144$

Represent P(B) with x

$0.770x - x^2 = 0.144$

Rewrite as:

$x^2 - 0.770x + 0.144 = 0$

Expand

$x^2 - 0.45x - 0.32x + 0.144 = 0$

Factorize:

$x[x - 0.45] - 0.32[x - 0.45]= 0$

Factor out x - 0.45

$[x - 0.32][x - 0.45]= 0$

Split

$x - 0.32= 0 \ or\ x - 0.45= 0$

Solve for x

$x = 0.32\ or\ x = 0.45$

Recall that:

$P(B) = x$

So, we have:

$P(B) = 0.32 \ or \ P(B) = 0.45$

Recall that:

$P(A) = 0.770 - P(B)$

So, we have:

$P(A) = 0.770 - 0.32 \ or\ P(A) =0.770 - 0.45$

$P(A) = 0.45 \ or\ P(A) =0.32$

Since:

$P(A) > P(B)$

Then:

$P(A) = 0.45$

$P(B) = 0.32$

6 0

3 years ago

What is often found around the perimeter of a yard

sp2606 [1]

A fence I think

I hope this was the answer you were looking for

5 0

3 years ago

How do you solve m=10x-x for x

cricket20 [7]

m=10x-x for x
first subtract x from 10x

m=9x
divide both sides by 9

m/9=x

x=m/9

3 0

3 years ago

Please help if u answer with a answer that is trolling I will report you

algol13

Answer:

230.5

Step-by-step explanation:

Formulas: a = 1/2(bh), a = bh

Rectangle 1: a = 6 x 8

a = 48

Base of the triangle: 9 + 6

Triangle 1: a = 1/2(15 x 24)

a = 180

Triangle 2: a = 1/2(4(13 - 8))

a = 2.5

48 + 180 + 2.5

230.5

The area of the figure is 230.5.

If this truly helps you out, help me out too and thank me or maybe even mark brainliest.

-Xax

6 0

3 years ago

The lines s and t intersect at point R.

natka813 [3]

Answer:

Step-by-step explanation:

79 + 40 = 119

180 - 119 = 61

8 0

3 years ago

Read 2 more answers