All categories

3 years ago

Expand the expression 5(m+2)

1 answer:

7 0

5 x (m + 2)

Or if you are factoring, then you do this, 5 times m equals 5m + 5 times 2 which equals 10 so therefore you answer will be:

5m + 10

You might be interested in

Christian is placing photos onto scrapbook paper for his photo album. the scrapbook paper is 12 inches long and 12 inches wide.

GenaCL600 [577]

The answer would be 144 inches, found by multiplying the length of the paper by the width.

4 0

3 years ago

Read 2 more answers

Find a quadratic polynomial with integer coefficients which has x = 2/9, ± SQRT23/9 as its real zeros.

melomori [17]

Answer:

The quadratic polynomial with integer coefficients is $y = 81\cdot x^{2}-36\cdot x -19$ .

Step-by-step explanation:

Statement is incorrectly written. Correct form is described below:

<em>Find a quadratic polynomial with integer coefficients which has the following real zeros: </em> $x = \frac{2}{9}\pm \frac{\sqrt{23}}{9}$ <em>. </em>

Let be $r_{1} = \frac{2}{9}+\frac{\sqrt{23}}{9}$ and $r_{2} = \frac{2}{9}-\frac{\sqrt{23}}{9}$ roots of the quadratic function. By Algebra we know that:

$y = (x-r_{1})\cdot (x-r_{2}) = x^{2}-(r_{1}+r_{2})\cdot x +r_{1}\cdot r_{2}$ (1)

Then, the quadratic polynomial is:

$y = x^{2}-\frac{4}{9}\cdot x -\frac{19}{81}$

$y = 81\cdot x^{2}-36\cdot x -19$

The quadratic polynomial with integer coefficients is $y = 81\cdot x^{2}-36\cdot x -19$ .

5 0

3 years ago

Dylan has a 32-ounce coffee.He drinks 4 ounces. What is the percentage of ounces left of his coffee?

Semenov [28]

$32 \div 100 = 3.125 \\ \\ 3.125 \times 4 = 12.5 \\ \\ 100 - 12.5 = 87.5 \\ \\ 87.5$

8 0

3 years ago

Simplify 6-12b divided by 3a-6ab

siniylev [52]

Answer:

$\frac{2}{a}$

Step-by-step explanation:

Given

$\frac{6-12b}{3a-6ab}$ ← factor both numerator and denominator

= $\frac{6(1-2b)}{3a(1-2b)}$ ← cancel common factor (1 - 2b) on numerator/denominator

= $\frac{6}{3a}$ ← cancel 6 and 3 by 3

= $\frac{2}{a}$

7 0

3 years ago

Read 2 more answers

write the equation of the line that is perpendicular to the line y=-1/5x+9 and passes through the point (-2,-2)

OLEGan [10]

Answer:y=5x+8

Step-by-step explanation: the perpendicular slope is going to be the negative reciprocal of your given slope. In this case the perpendicular line has a slope of 5, because u flip -1/5 to make -5 and u negate -5 to make 5. This perpendicular slope passes through (-2,-2) and u find the y intercept like this: -2=(5(-2))+b. Therefore the y intercept is 8 and the perpendicular slope is y=5x+8

4 0

3 years ago