Factor Completely: 6x2 + 28x − 10

Mathematics

1 answer:

Anestetic [448]3 years ago

8 0

Answer:

$2(x + 15)(x-1)$

Step-by-step explanation:

In order to factor, we take out common terms.

$6x^{2} + 28x -10$
The biggest common term we can factor out is 2:
$2(3x^{2} +14-5)$
Now we factor the area in parentheses into 2 binomials. To do this we need 2 numbers that multiply to be -15 and add to be 14. Theses numbers are 15 and -1.
$2(x + 15)(x-1)$

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Read 2 more answers

Answer question 8,9 and 10 with full details.

Lelechka [254]

Answer:

See Explanation

Step-by-step explanation:

8. (1)

Area of trapezoid = 1/2(sum of || sides) *perpendicular distance

36 =1/2(x+ y) * 6

36 = ((x + y)*3

36/3 = x + y

12 = x + y

x + y = 12.... (1)

8(2)

It is given that:

x = 2y....(2)

From equations (1) & (2)

2y + y = 12

3y = 12

y = 12/3

y = 4

From equation (2)

x = 2y = 2*4

x = 8

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Side of square = 1 m

Area of circle = 1 square m

$\pi {r}^{2} = 1 \\ {r}^{2} = \frac{1}{\pi} \\ r = \frac{1}{ \sqrt{\pi} } \\ c = 2\pi \: r \\ c = 2\pi \times \frac{1}{ \sqrt{\pi} } \\ c = 2 \sqrt{\pi} \\ c = 2 \sqrt{3.14} \\ c = 2 \times 1.77200451 \\ c = 3.54400902 \\ c = 3.544 \\ difference = 3.544 - 1 = 2.544 \\difference \approx \: 2.54$