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3 years ago

Solve for A.

Mathematics

1 answer:

STALIN [3.7K]3 years ago

6 0

R = X( A + B)

R = AX + BX

AX = R - BX

A = (R - BX) / X

Its A.

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What is the equation of the line that is perpendicular to line m and passes through the point (3, 2)?

agasfer [191]

Answer:

y = $\frac{2}{5}$ x + $\frac{4}{5}$

Step-by-step explanation:

Calculate the slope of line m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (- 2, 2) and (x₂, y₂ ) = (0, - 3) ← 2 points on the line

m = $\frac{-3-2}{0-(-2)}$ = $\frac{-5}{0+2}$ = - $\frac{5}{2}$

Given a line with slope m then the slope of a line perpendicular to it is

$m_{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{-\frac{5}{2} }$ = $\frac{2}{5}$ , then

y = $\frac{2}{5}$ x + c ← is the partial equation in slope- intercept form

To find c substitute (3, 2 ) into the partial equation

2 = $\frac{6}{5}$ + c ⇒ c = 2 - $\frac{6}{5}$ = $\frac{4}{5}$

y = $\frac{2}{5}$ x + $\frac{4}{5}$ ← equation of perpendicular line

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2 years ago

Which of the tables repress a function ?

Norma-Jean [14]

Answer:

Table A

Step-by-step explanation:

A function must have only 1 output for a single input, the only one that follows this rule is Table A.

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3 years ago

Mary is comparing fractions whose denominators are 6 and 8. which number is the least common multiple that she can use?

Nuetrik [128]

Answer:

Step-by-step explanation:

It says she need the least common number that can divide 6 and 8 which is 2

3 0

3 years ago

Divide use partial quotients 5÷630=

Nimfa-mama [501]

the answer is 126 I swear to god I am not a liar I am smart in math

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3 years ago

Read 2 more answers

During off hours, cars arrive at a tollbooth on the East-West toll road at an average rate of 0.5 cars per minute. The arrivals

Norma-Jean [14]

Answer:

$P(X=3) = 2.5^3 \frac{e^{-2.5}}{3!}=0.214$

Step-by-step explanation:

Definitions and concepts

The Poisson process is useful when we want to analyze the probability of ocurrence of an event in a time specified. The probability distribution for a random variable X following the Poisson distribution is given by:

$P(X=x) =\lambda^x \frac{e^{-\lambda}}{x!}$

And the parameter $\lambda$ represent the average ocurrence rate per unit of time

For this case we know that $\lambda =0.5 cars/min$

And we want the probability that during the next five minutes, three cars will arrive, so then our rate becomes:

$\lambda = 0.5 \frac{cars}{min}* 5 min = 2.5 cars$

And we want this probability:

$P(X=3)$

And if we use the pmf we got:

$P(X=3) = 2.5^3 \frac{e^{-2.5}}{3!}=0.214$

6 0

4 years ago