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3 years ago

What.is the y intercept of a line given by the equation y=5×-21?

Mathematics

1 answer:

Delicious77 [7]3 years ago

4 0

Answer:

-21

Step-by-step explanation:

If the equation of the line is

$y=mx+b,$

then $m$ is the slope of the line and $b$ is the y-intercept of the line.

In your case, the equation of the line is $y=5x-21.$

So, the slope of this line is $m=5$ and the y-intercept is $b=-21.$

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Number 10 on my integrated geometry test

Andrei [34K]

Answer:

sin 63° = a / 10

Step-by-step explanation:

With reference angle A

Sin A = BC / AB

Sin 63° = a / 10

Hope it will help :)

7 0

3 years ago

Carlos had 7¾ cups of cheese. After making 5 pizzas, he now only has 2 cups of cheese. How much cheese did Carlos use?

Musya8 [376]

Answer:

5 3/4 cups of cheese used for the pizza

Step-by-step explanation:

7 3/4 = 31/4 cups cheese to start

Two cups of cheese remaining. 2 = 8/4 cups

31/4 cups - 8/4 cups = 23/4 cups used for the pizza.

23/4 = 5 3/4 cups of cheese used for the pizza

4 0

2 years ago

Which of the expressions below can be factored using the difference of squares method?

zlopas [31]

Answer:

The second choice is correct. It can be factored as:

$9x^2-16y^2=(3x-4y)(3x+4y)$

Step-by-step explanation:

The Difference of Squares Method for Factoring

The expression:

$a^2-b^2=(a-b)(a+b)$

Is a widely used method to factor binomials that are expressed as the subtraction of two perfect squares.

The condition for a binomial to be factored by using this method is that both terms must have an exact square root and they must be subtracted.

The last two choices are not valid because they are not a subtraction but an addition.

The first choice is not valid because none of the terms is a perfect square.

The second choice is correct. It can be factored as:

$9x^2-16y^2=(3x-4y)(3x+4y)$

4 0

3 years ago

Find the dimensions of a rectangle with perimeter 116 m whose area is as large as possible. (if both values are the same number,

creativ13 [48]

The dimensions would be 29 by 29.

To maximize area and minimize perimeter, we make the dimensions as close to equilateral as possible.

Dividing the perimeter by the number of sides, we have

116/4 = 29

This means that both length and width can be 29.

5 0

3 years ago

Which of the following solutions to the inequality -7X +14>-3x-6? Select all that apply.

Nastasia [14]

$-7x+14 > -3x-6\ \ \ |-14\\\\-7x > -3x-20\ \ \ |+3x\\\\-4x > -20\ \ \ |\text{change the signs}\\\\4x < 20\ \ \ \ |:4\\\\x < 5$

Answer: -10, -5, -3, 3, 0.

3 0

3 years ago