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Alborosie
3 years ago
16

What values of x make the equation x^2 + 9x – 22 = 0 true? Check all that apply.

Mathematics
2 answers:
fredd [130]3 years ago
9 0

Answer:

x = 2 , - 11.

Step-by-step explanation:

Given  : x² + 9x – 22 = 0

To find : What values of x make the equation.

Solution : we have given  x² + 9x – 22 = 0

On factoring

x² + 11x - 2x – 22 = 0 .

Taking common x from first two term and -2 from last two terms.

x ( x +11) - 2 (x +11) = 0.

On grouping

(x -2) (x +11) = 0

For

x - 2  =0

x = 2 .

For

x + 11 = 0

x = -11.

Therefore, x = 2 , - 11.

sergij07 [2.7K]3 years ago
7 0
If you would like to solve the equation x^2 + 9x - 22 = 0, you can do this using the following steps:

<span>x^2 + 9x - 22 = 0
</span>(x - 2) * (x + 11) = 0
1. x = 2
2. x = - 11

The correct result would be x = 2 and x = - 11.
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Given: ABCD trapezoid<br> BC=1.2m, AD=1.8m<br> AB=1.5m, CD=1.2m<br> AB∩CD=K<br> Find: BK and CK
stepladder [879]

Answer:

The value of BK is 3m and the value of CK is 2.4m.

Step-by-step explanation:

Given information: ABCD trapezoid

, BC=1.2m, AD=1.8m

, AB=1.5m, CD=1.2m

, AB∩CD=K.

Using the given information draw a figure.

Two sides of a trapezoid are parallel.

Since AB∩CD=K, therefore AB and CD are not parallel, because parallel line never intersect.

AD\parallelBC

\angle KBC=\angle KAD              (Corresponding angles)

\angle KCB=\angle KDA             (Corresponding angles)

By AA rule of similarity

\triangle KBC\sim \triangle KAD

Corresponding sides of similar triangles are proportional.

\frac{KB}{KA}=\frac{KC}{KD}=\frac{BC}{AD}

\frac{x}{x+1.5}=\frac{y}{y+1.2}=\frac{1.2}{1.8}

\frac{x}{x+1.5}=\frac{1.2}{1.8}

\frac{x}{x+1.5}=\frac{2}{3}

3x=2x+3

x=3

The length of BK is 3 m.

\frac{y}{y+1.2}=\frac{1.2}{1.8}

\frac{y}{y+1.2}=\frac{2}{3}

3y=2y+2.4

y=2.4

The length of CK is 2.4 m.

5 0
3 years ago
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enot [183]

Answer:

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Step-by-step explanation:

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5 0
2 years ago
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snow_lady [41]

Answer:

Step-by-step explanation:

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Step-by-step explanation:

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