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4 years ago

Solve |2x – 3| = 11. Show each step of your work.

Mathematics

1 answer:

Klio2033 [76]4 years ago

8 0

Answer:

x =7 or x = -4

Step-by-step explanation:

|2x – 3| = 11

There are two solutions to an absolute value equation, one positive and one negative

2x-3 =11 or 2x-3 = -11

Add 3 to each side

2x-3+3 = 11 +3 2x-3+3 = -11+3

2x = 14 2x = -8

Divide each side by 2

2x/2 =14/2 2x/2 = -8/2

x =7 x = -4

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Somebody... PLEASE help What is the only solution of 2x2 + 8x = x2 – 16?

makvit [3.9K]

Answer:

x= - 4

Step-by-step explanation:

2 * x^2 + 8 * x = x^2 - 16

2 * x^2 - x^2 + 8 * x + 16 = 0

x^2 + 8 * x + 16 = 0

(x + 4) * (x + 4) = 0

x = - 4

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2 years ago

Which term does not belong with the other three?

Brrunno [24]

Answer:

The one that does not belong has a different number of dimensions.

Step-by-step explanation:

Given list consists of:

a line segment (AB)
a plane (CDE)
a line (FG)
a ray (HI)

Three of them have one dimension but the plane has two dimensions,

therefore the plane in the list does not belong with the other three.

So correct answer choice is:

The one that does not belong has a different number of dimensions.

6 0

3 years ago

Cherie is jogging around a circular track. She

skelet666 [1.2K]

Answer:

Measure of minor angle JOG is $95.5^{\circ}$

Step-by-step explanation:

Consider a circular track of radius 120 yards. Assume that Cherie starts from point J and runs 200 yards up to point G.

$\therefore m JG = 200 yards, JO=120 yards$ .

Now the measure of minor arc is same as measure of central angle. Therefore minor angle is the central angle $\angle JOG = \theta$ .

To calculate the central angle, use the arc length formula as follows.

$Arc\:Length\left(s\right) = r\:\theta$

Where $\theta$ is measured in radian.

Substituting the value,

$200=120\:\theta$

Dividing both side by 120,

$\dfrac{200}{120}=\theta$

Reducing the fraction into lowest form by dividing numerator and denominator by 40.

$\therefore \dfrac{5}{3}=\theta$

Therefore value of central angle is $\angle JOG = \theta=\left(\dfrac{5}{3}\right)^{c}$ , since angle is in radian

Now convert radian into degree by using following formula,

$1^{c}=\left(\dfrac{180}{\pi}\right)^{\circ}$

So multiplying $\theta$ with $\left(\dfrac{180}{\pi}\right)^{\circ}$ to convert it into degree.

$\left(\dfrac{5}{3}\right)^{c}=\left(\dfrac{5}{3}\right) \times \left(\dfrac{180}{\pi}\right)^{\circ}$

Simplifying,

$\therefore \theta = 95.49^{circ}$

So to nearest tenth, $\angle JOG=95.5^{circ}$

8 0

3 years ago

What would be the second step in solving the equation y−16=3y?

stiv31 [10]

Answer:

Divide both sides by 4

Step-by-step explanation:

Please give brainliest

3 0

3 years ago

Read 2 more answers

2x^4–5x^3+x^2+3x+2=? X=5

DanielleElmas [232]

Answer:

$2x^4–5x^3+x^2+3x+2=$

$2 \times 5^4–5 \times 5^3+5^2+3 \times 5+2$

= 2 × 625 – 5 × 125 + 25 + 3 × 5 + 2

=1250 – 625 + 25 + 15 +2

= 1292 – 625

= 667

3 0

3 years ago