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2 years ago

Write an equation of the line passing through the point (7,3) that is parallel to the line y=2x-4.

Mathematics

1 answer:

SashulF [63]2 years ago

3 0

Answer:

y=2x-11

Step-by-step explanation:

arralel lines have same gradient

since gradient of the known line is 2( the coefficient of x), it therefore follows that the gradient of the second line we want to find is also 2

So we know the gradient of the second line is 2, and we have one known point (7,3). We can therefore apply the formula for finding gradient to come up with the line

$2=\frac{y-3}{x-7} \\\\y-3=2(x-7)\\\\y-3=2x-14\\\\y=2x-14+3\\\\y=2x-11$

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A company has 8 mechanics and 6 electricians. If an employee is selected at random, what is the probability that they are an ele

Andre45 [30]

Answer:

$Probability = \frac{3}{7}$

Step-by-step explanation:

Given

Electrician = 6

Mechanic = 8

Required

Determine the probability of selecting an electrician

First, we need the total number of employees;

$Total = n(Electrician) + n(Mechanic)$

$Total = 6 + 8$

$Total = 14$

Next, is to determine the required probability using the following formula;

$Probability = \frac{n(Electrician)}{Total}$

$Probability = \frac{6}{14}$

Divide numerator and denominator by 2

$Probability = \frac{3}{7}$

Hence, the probability of selecting an electrician is 3/7

4 0

3 years ago

Helpppppp pllzzzzzzzzz

fgiga [73]

Answer:

The length of side of largest square is 15 inches

Step-by-step explanation:

The given suares are when joined in the way as shown in picture their sides form a right agnled triangle.

Area of square 1 and perimeter of square 2 will be used to calculate the sides of the triangle.

So,

Area of square 1: 81 square inches

$s^2 = A\\s^2 = 81\\\sqrt{s^2} = \sqrt{81}\\s = 9$

Perimeter of square 2: 48 inches

$4*side = P\\4* side = 48\\side = \frac{48}{4}\\side = 12\ inches$

We can see that a right angled triangle is formed.

Here

Base = 12 inches

Perpendicular = 9 inches

And the side of largest square will be hypotenuse.

Pythagoras theorem can be used to find the length.

$(H)^2 = (P)^2+(B)^2\\H^2 = (9)^2+(12)^2\\H^2 = 81+144\\H^2 = 225\\\sqrt{H^2} = \sqrt{225}\\H = 15$

Hence,

The length of side of largest square is 15 inches

5 0

3 years ago

PLZZZ HELPP anyonee plzzzz

mihalych1998 [28]

Answer:

The correct answer is B

Step-by-step explanation:

its is B because when dividing fractions the division symbol changes into a multiplication sign and the fraction on the right flips

High Hopes^^

Barry-

8 0

3 years ago

Read 2 more answers

An airplane left Atlanta with 20 empty seats. If the airplane was 75% full, what was the total number of seats on the airplane?

Lana71 [14]

The answer is 80.
Because
80-75%=20

4 0

3 years ago

Read 2 more answers

What is the area of the yellow triangle?

lesantik [10]

I can't see pictures, but to find the area of a triangle, you multiply the dimensions, as you would a rectangle, but divide the area by 2.

For example, the dimensions of a triangle are 4 and 6.

Multiply the two.

4x6=24.

But don't stop there. Divide 24 by 2.

24/2=12.

So the area of the example triangle is 12.

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hope it helps

8 0

3 years ago

Write an equation of the line passing through the point (7,3) that is parallel to the line y=2x-4. ​

Write an equation of the line passing through the point (7,3) that is parallel to the line y=2x-4.