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3 years ago

Factor the common factor out of –12 + 15x

Mathematics

1 answer:

Sonja [21]3 years ago

3 0

The common factor is 3. You would write it out as... 3(5x-4)

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In ΔOPQ, the measure of ∠Q=90°, the measure of ∠O=76°, and OP = 7.3 feet. Find the length of PQ to the nearest tenth of a foot..

PSYCHO15rus [73]

Answer: 7.1 feet

Step-by-step explanation: I guessed lol

6 0

2 years ago

When the sum of \, 528 \, and three times a positive number is subtracted from the square of the number, the result is \, 120. F

aleksandr82 [10.1K]

Let $x$ be the unknown number. So, three times that number means $3x$ , and the square of the number is $x^2$

We have to sum 528 and three times the number, so we have $528+3x$

Then, we have to subtract this number from $x^2$ , so we have

$x^2-(3x+528)$

The result is 120, so the equation is

$x^2 - 3x - 528 = 120 \iff x^2 - 3x - 648 = 0$

This is a quadratic equation, i.e. an equation like $ax^2+bx+c=0$ . These equation can be solved - assuming they have a solution - with the following formula

$x_{1,2} = \dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$

If you plug the values from your equation, you have

$x_{1,2} = \dfrac{3\pm\sqrt{9-4\cdot(-648)}}{2} = \dfrac{3\pm\sqrt{9+2592}}{2} = \dfrac{3\pm\sqrt{2601}}{2} = \dfrac{3\pm51}{2}$

So, the two solutions would be

$x = \dfrac{3+51}{2} = \dfrac{54}{2} = 27$

$x = \dfrac{3-51}{2} = \dfrac{-48}{2} = -24$

But we know that x is positive, so we only accept the solution $x = 27$

6 0

3 years ago

If if four points are collinear, that are also coplanar: true or false??

Aliun [14]

if four points are collinear, that are also coplanar: This is true

If points lie in the same line. they must lie in the same plane

7 0

3 years ago

What is the value of f (x) = 1/2 x + 5 when x=4

Anna35 [415]

Replace all values of x as 4

f(4)=1/2(4)+5
f(4)=4/2+5
f(4)=2+5
f(4)=7

Hope I helped :)

7 0

3 years ago

Read 2 more answers

Write the polynomial as a product: p2q+r2–pqr–pr

Assoli18 [71]

${p}^{2} q + {r}^{2} - pqr - pr \\ = pq(p - r) - r(p - r) \\ = (pq - r)(p - r)$

6 0

3 years ago

Read 2 more answers