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2 years ago

Please answer number 16. please explain the steps

Mathematics

2 answers:

oksano4ka [1.4K]2 years ago

8 0

Answer:

X = -2 and 4

Step-by-step explanation:

Move all of the terms to one side and set the equation to 0:

2x^2-14x+40-3x^2+16x-32 = 0

Then combine all like terms which would look like the following:

-x^2 + 2x + 8=0

Change the signs on both sides of the equation:

x^2 - 2x - 8 =0

Write -2x as a difference:

x^2 + 2x - 4x -8 = 0

Factor the expression:

x(x+2) x 4(x+2)=0

Factor out x+2 from the equation:

(x+2) (x-4)=0

Split into classes and then find the answer from there:

x+2=0

x-4=0

Nimfa-mama [501]2 years ago

3 0

Work and explanation is attached

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1 year ago

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David's last equation to solve is x/100+3/100=8/100. Write and solve an equivalent equation with easier numbers that would give

JulijaS [17]

$\sf\dfrac{x}{100}+\dfrac{3}{100}=\dfrac{8}{100}$

Subtract 3/100 to both sides:

$\sf\dfrac{x}{100}=\dfrac{5}{100}$

Cross multiply:

$\sf100x=500$

Divide 100 to both sides:

$\sf~x=5$

Or we could just multiply both sides of the equation by 100, to give us:

$\sf~x+3=8$

Subtract 3 to both sides:

$\sf~x=5$

3 0

2 years ago

I’ve never been so confused, this is due in a few minutes, pls help if you can!

algol13

Given:

m(ar QT) = 220

m∠P = 54

To find:

The measure of arc RS.

Solution:

PQ and PT are secants intersect outside a circle.

<em>If two secants intersects outside a circle, then the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs.</em>

$$\Rightarrow \angle P = \frac{1}{2} (m \ ar (QT) - m \ ar (RS ))$