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3 years ago

14

(_+10)(_+-1)= 11x^2+17x-10 in factored form

1 answer:

Sever21 [200]3 years ago

4 0

Answer:

The factored form will be:

$11x^2+17x-10=\left(11x-5\right)\left(x+2\right)$

Step-by-step explanation:

Given the expression

$11x^2+17x-10$

Breaking the expression into groups

$=\left(11x^2-5x\right)+\left(22x-10\right)$

factoring out x from 11x²-5x

11x²-5x = x(11-5)

factoring out 2 from 22x-10

22x-10 = 2(11x-5)

so the expression becomes

$=x\left(11x-5\right)+2\left(11x-5\right)$

factoring out common term 11x-5

$=\left(11x-5\right)\left(x+2\right)$

Therefore, the factored form will be:

$11x^2+17x-10=\left(11x-5\right)\left(x+2\right)$

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Ronald spent $133.55 on school clothes. he counted his money and discovered that he had $34.45 left. how much money did he origi

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Three lines of crops in a garden form a triangular shape. Strawberries are planted in a 10 ft line and green beans are planted i

Marat540 [252]

Answer:

$p = 19.18$

Step-by-step explanation:

This question is illustrated using the attachment and will be solved using cosine formula

$a^2 = b^2 + c^2 - 2bcCosA$

<em>Let the strawberry side be s, the Green beans be b and the pumpkins be p.</em>

<em />

The cosine formula in this case is:

$g^2 = s^2 + p^2 - 2spCosG$

Where

$s = 10$

$g = 18$

The equation becomes

$18^2 = 10^2 + p^2 - 2 * 10 * p * Cos\ 68$

$324 = 100 + p^2 - 20 * p * 0.375$

$324 = 100 + p^2 - 7.5p$

Collect Like Terms

$p^2 - 7.5p + 100 - 324 = 0$

$p^2 - 7.5p - 224 = 0$

Using quadratic formula:

$p = \frac{-b\±\sqrt{b^2-4ac}}{2a}$

Where

$a = 1$

$b = -7.5$

$c = -224$

$p = \frac{-(-7.5)\±\sqrt{(-7.5)^2-4*1*-224}}{2*1}$

$p = \frac{7.5\±\sqrt{56.25+896}}{2}$

$p = \frac{7.5\±\sqrt{952.25}}{2}$

$p = \frac{7.5\± 30.86}{2}$

$p = \frac{7.5 + 30.86}{2}$ or $p = \frac{7.5 - 30.86}{2}$

$p = \frac{38.36}{2}$ or $p = \frac{-23.36}{2}$

$p = 19.18$ or $p = -11.68$

But length can not be negative.

So:

$p = 19.18$

6 0

2 years ago

-pls answer all thanks!!! HAVE A BLESS DAY

blagie [28]

1. = 3
2.= 1
3.= 3/1= 3

5 0

2 years ago

Read 2 more answers

What is the value of y in the triangle?

Readme [11.4K]

Answer:

• From trigonometric ratios:

${ \rm{ \sin( \theta) = \frac{opposite}{hypotenuse} }} \\$

→ theta is 41°

→ opposite is y

→ hypotenuse is 26 ft

${ \tt{ \sin(41) = \frac{y}{26} }} \\ \\ { \tt{y = 26 \sin(41) }} \\ \\ { \boxed{ \tt{ \: y = 17.06 \: \: ft}}}$

8 0

3 years ago