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3 years ago

HELP!!!!!!!!!!!!!!!!

Mathematics

2 answers:

lesya [120]3 years ago

8 0

$2x^{2}$ is a monomial (since it is all connected by multiplication) and since it is in the degree of 2, that makes it a quadratic.

-2 is a constant (since it doesn't have variables) and it is a monomial (since it is all connected by multiplication)

3x-9 is a binomial (since it has two terms, not connected by multiplication) and since it has x in the power of 1, that makes it a linear equation.

Finally, $-3x^{2}$ -6x + 9 is a trinomial (since it has 3 terms connected by either addition or subtraction) and since the degree of the polynomial is 2, that makes it a quadratic.

SSSSS [86.1K]3 years ago

8 0

Answer:

Step-b-step explanation:

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Determine if the following triangle is a right triangle or not using the Pythagorean Theorem Converse. Triangle with side length

seraphim [82]

Answer:

A right triangle is a triangle in which one of the angles is a 90∘ angle. The "square" at the vertex of the angle indicates that it is 90 degrees. A triangle can be determined to be a right triangle if the side lengths are known.

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3 years ago

Marie purchased a 29.00 gift. She uses a coupon that offers 30 percent. How much will she spend on the gift after the coupon?

asambeis [7]

Answer:

$20.30

Step-by-step explanation:

The usual price of the gift is $29.00

Marie will get 30% DISCOUNT on this price if she uses her coupon. So, the final price would be 30% less than $29.00

First, we need to find 30% of $29.00. Then we need to subtract that from original price (29).

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We subtract this from original price to get DISCOUNTED PRICE:

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6 0

3 years ago

The perimeter of a rectangular field is 328 yards. If the length of the field is 89 yards, what is its width?

miv72 [106K]

Set up an equation based on the information given

$89 + 89 + x + x = 328$

Combine like terms

$89 + 89 = 178$

$x + x = 2x$

$2x + 178 = 328$

Solve

$2x + 178 = 328$

$328 - 178 = 150$

$2x = 150$

$x = 75$

Answer

The width of the rectangular field is 75 yards.

7 0

3 years ago

From a piece of tin in the shape of a square 6 inches on a side, the largest possible circle is cut out. What is the ratio of th

wel

Answer:

$\sf \dfrac{1}{4} \pi \quad or \quad \dfrac{7}{9}$

Step-by-step explanation:

The width of a square is its side length.

The width of a circle is its diameter.

Therefore, the largest possible circle that can be cut out from a square is a circle whose diameter is equal in length to the side length of the square.

Formulas

$\sf \textsf{Area of a square}=s^2 \quad \textsf{(where s is the side length)}$

$\sf \textsf{Area of a circle}=\pi r^2 \quad \textsf{(where r is the radius)}$

$\sf \textsf{Radius of a circle}=\dfrac{1}{2}d \quad \textsf{(where d is the diameter)}$

If the diameter is equal to the side length of the square, then:
$\implies \sf r=\dfrac{1}{2}s$

Therefore:

$\begin{aligned}\implies \sf Area\:of\:circle & = \sf \pi \left(\dfrac{s}{2}\right)^2\\& = \sf \pi \left(\dfrac{s^2}{4}\right)\\& = \sf \dfrac{1}{4}\pi s^2 \end{aligned}$