3 years ago

Factor completely. 25+70x+49x^2

Mathematics

1 answer:

Neporo4naja [7]3 years ago

5 0

Answer:

(5+7x)^2

Step-by-step explanation:

25+70x+49x^2

This is a perfect square trinomial

a^2 +2ab + b^2 = (a+b)^2

5^2 *2*5*7x+ (7x)^2 = (5+7x)^2

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Original Price $60 Percent of Discount Sale Price $45

Brums [2.3K]

Answer:

Step-by-step explanation:

8 0

3 years ago

Find the midpoint of the line segment with the endpoints (1, 0) and (2, -10).

Mariulka [41]

Answer:

$\bigl(\frac{3}{2},-5\bigr)$

or in decimal form

$(1.5,-5)$

Step-by-step explanation:

The midpoint of the line with endpoints $(x_1,y_1)$ and $(x_2,y_2)$ is $\bigl(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\bigr)$ . just take the average between the points

so given the points (1,0) and (2,-10)

$x_1=1$

$y_1=0$

$x_2=2$

$y_2=-10$

the midpoint is found as follows:

$\bigl(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\bigr)$

$\bigl(\frac{1+2}{2},\frac{0-10}{2}\bigr)$

$\bigl(\frac{3}{2},\frac{-10}{2}\bigr)$

$\bigl(\frac{3}{2},-5\bigr)$

or in decimal form

$(1.5,-5)$

7 0

3 years ago

(a) A square has a perimeter of 20 m. What is the length of each side?

Goshia [24]

Answer:

A= 5

B= 3

Step-by-step explanation:

A= 5 +5+5+5= 20

B= 3 (length) x 3 (width)

5 0

2 years ago

Exact value of the function for the given x-value f(x) = 5x for x = -1

fgiga [73]

-5, because when plugging the -1 in for x then multiplying it by 5, you get -5

3 0

3 years ago

The campers in cabin A walked 1/4 of the way to otter ridge (13 miles) How many miles did they walk?

shusha [124]

The question demands that we find a fraction of a given quantity.

The 'of ' means multiplication.

So the total distance of the journey was

$13 \: miles$

But they walked ¼ of the whole journey. We are supposed to find

$\frac{1}{4} \: of \: 13 \: miles$
$\\= \frac{1}{4} \times 13 \: miles$

$= \frac{13}{4} \: miles$

$= 3.25\: miles$

Hence they walked 3.25 miles.

3 0

3 years ago