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2 years ago

What is an equation of the line that passes through the point (-1, -3) and is perpendicular to the line y=1/2x-7 ?

Mathematics

1 answer:

trasher [3.6K]2 years ago

3 0

Answer:

y = -2x - 5

Step-by-step explanation:

Set the slope of the given equation to the reciprocal to get a perpendicular slope:

y = 1/2x --> -2x

y = -2x + b will be your current equation. To get b, you must insert the given information: (-1, -3)

-3 = -2 (-1) + b

Solve:

-3 = 2 + b

-5 = b

Thus your equation would be y = -2x - 5.

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Use the given domain to find the range of function: f(x)=−2x²+7, D={2, −3, 0}

soldi70 [24.7K]

Answer:

R={-1, -11, 7}

Step-by-step explanation:

-2(2)^2+7=

-2(4)+7=

-8+7=

-1

-2(-3)^2+7=

-2(9)+7=

-18+7=

-11

-2(0)^2+7=

-2(0)+7=

0+7=

5 0

3 years ago

A shipment of 50 precision parts including 4 that are defective is sent to an assembly plant. The quality control division selec

natali 33 [55]

Answer:

0.3968 = 39.68% probability this shipment passes inspection.

Step-by-step explanation:

The parts are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this question:

50 parts means that $N = 50$

4 defective means that $k = 4$

10 are chosen, which means that $n = 10$

What is the probability this shipment passes inspection?

Probability that none is defective, so:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

$P(X = 0) = h(0,50,10,4) = \frac{C_{4,0}*C_{46,10}}{C_{50,10}} = 0.3968$

0.3968 = 39.68% probability this shipment passes inspection.

6 0

3 years ago

VERY URGENT HAVE A TEST TO TAKE

Daniel [21]

The easiest way is to try the point (-4,1), that is, x=-4, y=1,
to see which equation works.
b works.

The usual way to do it is to find the equation of the circle
standard form of a circle is (x-h)²+(y-k)²=r², (h,k) are the coordinates of the center, r is the radius.
in this case, the center is (-2,1), so (x+2)²+(y-1)²=r²
the given point (-4,1) is for you to find r: (-4+2)²+(1-1)²=r², r=2
so the equation is (x+2)²+(y-1)²=2²
expand it: x²+4x+4+y²-2y+1=4
x²+y²+4x-2y+1=0, which is answer b.

5 0

3 years ago

PLEASE ANSWER OFFERING BRAINLEST

Inessa [10]

B-9inches hope that helps

3 0

3 years ago

Which pair of numbers has a GCF of 3? Group of answer choices (A) 3 and 18 (B) 8 and 24 (C)12 and 18 (D) 1 and 3

Arte-miy333 [17]

Answer:

A, B and C

Step-by-step explanation:

A) 3 and 18 = has 3 as factor

B) 8 and 24 = has 3 as factor

C) 12 and 18 = has 3 as factor

D) 1 and 3 = has as factor of 1 and 3

so the answer is A, B and C

5 0

3 years ago