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3 years ago

Find the area of a parallelogram with the given vertices. P(–5, –2), Q(7, –2), R(–2, 8), S(10, 8)

Mathematics

1 answer:

beks73 [17]3 years ago

4 0

Area of a parallelogram = bh

First, find b (base):

b = 12

Then find h (height):

h = 10

Multiply:

120

The answer is D) 120 units^2

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Which of the following expressions is a factor of the polynomial x 2 +3/2x-1

Elodia [21]

Answer:

$\large \boxed{\sf \ \ \ (x+2)(x-\dfrac{1}{2}) \ \ \ }$

Step-by-step explanation:

Hello,

let's solve

$x^2+\dfrac{3}{2}x-1=0\\\\ 2x^2+3x-2=0 \ \text{multiply by 2}\\\\\\$

$\Delta=b^2-4ac=9+4*2*2=9+16=25$

There are two solutions

$x_1=\dfrac{-3-\sqrt{25}}{4}\\\\x_1=\dfrac{-3-5}{4}\\\\x_1=\dfrac{-8}{4}\\\\\boxed{x_1=-2}$

And

$x_2=\dfrac{-3+\sqrt{25}}{4}\\\\x_2=\dfrac{-3+5}{4}\\\\x_2=\dfrac{2}{4}\\\\\boxed{x_2=\dfrac{1}{2}}$

So we can write

$x^2+\dfrac{3}{2}x-1\\\\=(x-x_1)(x-x_2)\\\\=(x+2)(x-\dfrac{1}{2})$

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

5 0

3 years ago

The product of two numbers is 342. If one number is 18, what is the other nnumber without the use of a calculator show all your

dalvyx [7]

342/18 18 x 10= 180 342 - 180= 162 18 x 9= 90 + 72= 162 10+9= 19 The answer is 19

7 0

2 years ago

What does it mean to say that polynomials form a system analogous to integers

HACTEHA [7]

Answer:

Perform arithmetic operations on polynomials.

Step-by-step explanation:Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials.

7 0

3 years ago

A dance CD has 5 songs on it - 2 are slow, and 3 are fast. When the DJ at a dance plays a song it is not played again. All songs

iris [78.8K]

<span>Combinations: 5!/2!3!=10

</span>possibility: 1/10 = 2/20

8 0

3 years ago

Elena knows that 5 servings of granola have 1,750 calories. if she eats 2 servings of granola,how many calories dose she eat

Nataly [62]

Answer:

700 calories

Step-by-step explanation:

1,750/5

=350

350colories per serving

So multiply 350 by 2

350x2

=700

4 0

3 years ago

Read 2 more answers