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3 years ago

10

Solve by factoring and list only the positive solution: 2x2 - 5x = 88

1 answer:

Semmy [17]3 years ago

8 0

It has to be noted that there are several ways to factor the item. One of these is shown below.

The general form of a quadratic equation is,
Ax² + Bx + C = 0

where A and B are numerical coefficients and C is the constant. If we are to express the given equation in this form,
2x² - 5x - 88 = 0

The sum of the roots, x₁ and x₂ is -B/A and the product is equal to C/A.

Sum: x₁ + x₂ = -(-5/2) = 5/2
Product: x₁x₂ = -88/2 = -44

The values of x₁ and x₂ are 8 and -11/2.

The factors are (x - 8) and (x + 11/2)

<em>ANSWERS: 8 and -11/2. </em>

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Factor each Polynomial<br> <img src="https://tex.z-dn.net/?f=a%5E%7B2%7D-4a-24%2B6a" id="TexFormula1" title="a^{2}-4a-24+6a" alt

Keith_Richards [23]

Answer:

Correct answer: (a - 4) · (a + 6)

Step-by-step explanation:

Given:

a² - 4a - 24 + 6a = a² - 4a + 6a - 24 = a (a - 4) + 6 (a - 4) = (a - 4) · (a + 6)

God is with you!!!

5 0

3 years ago

Find the distance between (-7,-2) and (11,3)

jarptica [38.1K]

Answer:

The answer is

<h2> $\sqrt{349} \: \: units$ </h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

<h3> $d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\$ </h3>

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-7,-2) and (11,3)

The distance between the points is

<h3> $d = \sqrt{ ({ - 7 - 11})^{2} + ({ - 2 - 3})^{2} } \\ = \sqrt{ ({ - 18})^{2} + ({ - 5})^{2} } \\ = \sqrt{324 + 25} \\$ </h3>

We have the final answer as

<h3> $\sqrt{349} \: \: units$ </h3>

Hope this helps you

5 0

3 years ago

Alana has 100 mL of water in her water bottle. She needs to share it with 3 other students so that all 4 of them have the same a

elena-14-01-66 [18.8K]

Answer:

each person (including Alana) gets 25mL of water

Step-by-step explanation:

since there is 4 ppl, and 100mL of water, you divide 100/4. Therefore, each person gets 25mL of water:)

6 0

4 years ago

Read 2 more answers

A corner of a rectangle is cut, creating a trapezoid.

dlinn [17]

The sum of a trapezoid is 360 degrees

45+90+90+x=360
45+180+x=360
225+x=360
x=135

5 0

4 years ago

Read 2 more answers

Which expression represents the combined area of the garden in square feet?

KATRIN_1 [288]

You don’t have any attachment so I’m sorry I cannot answer

8 0

3 years ago