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3 years ago

14

Solve the quadratic equation by factoring and show work: 6x²−x=15

2 answers:

il63 [147K]3 years ago

6 0

Answer:

$x_{1} = -\frac{3}{2} \\x_{2}=\frac{5}{3}$

Step-by-step explanation:

$6x^{2} -x=15$ move the constant to the left

$6x^{2} -x-15=0$ write as a difference

$6x^{2} +9x-10x-15=0$ factor the expressions

$3x *(2x+3)-5(2x+3)=0$ factor the expression

$(2x+3) * (3x-5) = 0$ split into possible cases

$2x+3=0\\3x-5=0$ solve the equations

alina1380 [7]3 years ago

3 0

Answer:

$(2x + 3)(3x - 5)$

Step-by-step explanation:

<u>Step 1: Subtract 15 from both sides</u>

<u /> $6x^2 - x - 15 = 15 - 15$

$6x^2 - x - 15$

<u>Step 2: Factor</u>

$6x^2 - x - 15$

$(2x + 3)(3x - 5)$

Answer: $(2x + 3)(3x - 5)$

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What is the measure of A

Rainbow [258]

Given:

A figure of a triangle.

To find:

The measure of angle A.

Solution:

Label the points in the figure as shown below.

In the below figure,

$\angle ACB\cong \angle DCE$ (Vertically opposite angles)

$m\angle ACB=m\angle DCE$ (Congregant angles)

$m\angle ACB=8x+4$

Using exterior angle theorem in triangle ABC, we get

$m\angle A+m\angle C=\text{Exterior }m\angle B$

$m\angle BAC+m\angle ACB=130^\circ$

$(3x-6)+(8x+4)=130^\circ$

$11x-2=130^\circ$

Isolate the variable term x.

$11x=130^\circ+2$

$11x=132^\circ$

$x=\dfrac{132^\circ}{11}$

$x=12^\circ$

Now, the measure of angle A is:

$m\angle A=3x-6$

$m\angle A=3(12^\circ)-6$

$m\angle A=36^\circ-6$

$m\angle A=30^\circ$

Therefore, the correct option is B.

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3 years ago

How many times are equal to 40000 pounds

Usimov [2.4K]

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Please mark as brainliest. I really need it.

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Read 2 more answers

I don't know what to do, help

kotykmax [81]

The correct answer is: 2x+3y=24

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3 years ago

Which one? And show work

Alex Ar [27]

we are given

$(8x^4-128)$

Firstly , we can factor out 8

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now, we can rewrite it

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now, we can use formula

$(a^4-b^4)=(a^2+b^2)(a-b)(a+b)$

so, we will get

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4 years ago