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1 year ago

Write the equation of a line that passes through the point (-8,4) and is parallel to the line y=-5x+3.

Mathematics

1 answer:

Oduvanchick [21]1 year ago

5 0

Answer: y=-5x-36

Step-by-step explanation:

In order for two lines to be parallel they need to have the same slope. so the slope (m) of the new line needs to be -5.

slope(m) =-5

and the point (-8,4) is given to us. we can create a new equation for a line using the point slope formula because we have a slope (m=-5) and a point (-8,4)

point slope formula: y-y1=m(x-x1)

y-4=-5(x--8)

simplify and pay attention to negative signs

y-4=-5(x+8)

y-4=-5x-40

y=-5x-36

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Find the smallest positive integer k such that 3240/k is a square number

sashaice [31]

Answer:

Step-by-step explanation:

First, factorize the number 3,240:

$3,240=2\cdot 1,620=2\cdot 2\cdot 810=2\cdot 2\cdot 2\cdot 405=2\cdot 2\cdot 2\cdot 2\cdot 5\cdot 81=2^3\cdot 5\cdot 9^2$

So,

$3,240=2^2 \cdot 2\cdot 5\cdot 9^2=18^2\cdot 10$

Now consider the fraction

$\dfrac{3,240}{k}=\dfrac{18^2\cdot 10}{k}$

If k = 10, then

$\dfrac{3,240}{k}=\dfrac{18^2\cdot 10}{10}=18^2$

is a square number.

For all k < 10, the fraction tex]\dfrac{3,240}{k}[/tex] is not a square number (this follows from factorization).

Or you can simply check the values of the fraction for all k < 10:

k = 1, $\dfrac{3,240}{1}=3,240$ is not a square number;
k = 2, $\dfrac{3,240}{2}=1,620$ is not a square number;
k = 3, $\dfrac{3,240}{3}=1,080$ is not a square number;
k = 4, $\dfrac{3,240}{4}=810$ is not a square number;
k = 5, $\dfrac{3,240}{5}=648$ is not a square number;
k = 6, $\dfrac{3,240}{6}=540$ is not a square number;
k = 7, $\dfrac{3,240}{7}$ is not a square number;
k = 8, $\dfrac{3,240}{8}=405$ is not a square number;
k = 9, $\dfrac{3,240}{9}=360$ is not a square number.

5 0

3 years ago

Determine the Type I error if the null hypothesis, H0, is: an electrician claims that no more than 10% of homes in the city are

kap26 [50]

Answer : There are no more than 10% of homes in the city are not up to the current electric codes but actually we do not have evidence to accept it.

Explanation:

The Type I error occurs when the null hypothesis is true but we reject it.

Given null hypothesis : $H_0$ : an electrician claims that no more than 10% of homes in the city are not up to the current electric codes.

The Type I error for the given situation is that there are no more than 10% of homes in the city are not up to the current electric codes but actually we do not have evidence to accept it.

3 0

2 years ago

A dozen more than a number minus twice the number

scZoUnD [109]

X•2+12 I’m not sure if that’s what you’re looking for though

8 0

2 years ago

Read 2 more answers

What is x minus the square root of 2

Zielflug [23.3K]

Answer:

x - sqrt(2)

Step-by-step explanation:

x - sqrt(2)

6 0

2 years ago

Yu and Elena each bought between 7 and 9 yards of ribbon. Yu

Mumz [18]

Given: Yu, Nailah, and Elena each bought between 7 and 9 yards of ribbon Yu bought 3 pieces of ribbon. Nailah bought 5 pieces of ribbon. Elena bought 6 pieces of ribbon.

To find: Who can buy which ribbon

Solution:

Ribbon Sizes

1 2/3 = 5/3 yard

4/5 yard

3 1/2 = 7/2 Yard

Yu, Nailah, and Elena each bought between 7 and 9 yards of ribbon

Yu bought 3 pieces of ribbon

=> 3 * 5/3 = 5

3 * 4/5 = 2.4

3 * 7/2 = 10.5

Nailah bought 5 pieces of ribbon

=> 5 * 5/3 = 8.33

5 * 4/5 = 4

5 * 7 /2 = 17.5

Elena bought 6 pieces of ribbon

=> 6 * 5/3 = 10

6 * 4/5 = 4.8

6 * 7 /2 = 21

Only value between 7 & 9 is 5 * 5/3 = 8.33

hence Nailah only can buy 1 2/3 = 5/3 yard ribbon

or there is some mistake in the data

6 0

1 year ago

Write the equation of a line that passes through the point ​(-8​,4​) and is parallel to the line y=-5x+3.

Write the equation of a line that passes through the point (-8,4) and is parallel to the line y=-5x+3.