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tigry1 [53]
2 years ago
7

The triangles are similar, find the length of the unknown side. Round your answers to the nearest tenth (0.1), if necessary.

Mathematics
1 answer:
Doss [256]2 years ago
7 0

Answer:

22

Step-by-step explanation:

Similar shapes must have corresponding sides in a constant proportion. Therefore, we can set up the following equation and solve for ?:

\frac{28}{42}=\frac{?}{33} (divide corresponding sides)

\frac{28}{42}=\frac{?}{33},\\\\?=\frac{28\cdot 33}{42}=\boxed{22}

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If f(x)= 3x^2+1 and g(x)= 1-x, what is the value of (f-g)(2)?
enyata [817]

Answer:

14

Step-by-step explanation:

note that (f - g) = f(x) - g(x)

f(x) - g(x) = 3x² + 1 - (1 - x) = 3x² + 1 - 1 + x = 3x² + x

To evaluate (f - g)(2) substitute x = 2 into f(x) - g(x)

(f - g)(2) = 3(2)² + 2 = (3 × 4) + 2 = 12 + 2 = 14

3 0
3 years ago
What is the measure of each resulting angle?
enot [183]
Bisected means to cut something into two parts. 82/2=41
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3 0
3 years ago
(x+x)^2 × -(x×(-1))=4+x-x^2 <br> solve for x, show work.
Anna71 [15]

Answer:

x = 1

x = -5/8   + i* root( 39)  / 8

or x = -5/8   - i* root( 39)  / 8

Step-by-step explanation:

(x+x)^2 × -(x×(-1))=4+x-x^2

solve for x, show work.

(x+x)^2 ×  -(x×(-1))     =   4+x-x^2

Simplify:

(2x)^2  * (-(-x))  =  4 + x -  x^2

4x*x * (-(-x)) = 4 + x - x*x

4*x*x*x  = 4  + x - x*x

4*x*x*x - 4  =  x *(1 - x)

4* (xxx - 1)  = x * (1- x)

4* (x - 1)*( x*x +x + 1)  =  x (1 - x)

4( xx + x + 1)  = -x

x = 1 is a solution.

4xx + 4x + 4 = -x

4xx + 5x + 4 = 0

x = -5/8  +   root(25 - 4*4*4) / 2*4

x = -5/8   + i* root( 39)  / 8

or x = -5/8   - i* root( 39)  / 8

also x = 1

6 0
3 years ago
Explain step by step how to use the horizontal method the multiple the two polynomials
MatroZZZ [7]

Answer:

Step-by-step explanation:

Multiply each term of the first polynomial with   the second polynomial. Then combine the like terms.

(3a<em>² + 5a - 2)* (5a² -3a + 4)</em>

<em> = 3a² *(5a² -3a + 4)  + 5a*(5a² -3a + 4)  - 2*(5a² -3a + 4)</em>

<em>=3a²*5a² - 3a*3a² + 4*3a² +  5a*5a² - 3a*5a  + 4*5a + 5a²*(-2) - 3a*(-2) + 4*(-2)</em>

<em>=15a⁴ - 9a³  + 12a² + 25a³ - 15a² + 20a - 10a² + 6a - 8</em>

<em>= 15a⁴ </em><u><em>- 9a³ + 25a³</em></u><em>   +</em><u><em> 12a² - 15a² - 10a²</em></u><em>   +</em><u><em> 20a +6a </em></u><em>- 8</em>

<em>= 15a⁴ + 16a³  - 13a² +26a  - 8</em>

4 0
3 years ago
HELP PLEASE!!!! solve for x
LenKa [72]

Answer: how do you solve for this

Step-by-step explanation:

7 0
3 years ago
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