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Free_Kalibri [48]
4 years ago
10

Hw 43 special right triangles

Mathematics
1 answer:
Nutka1998 [239]4 years ago
4 0

Answer:


Step-by-step explanation:

Use the fact that sin 30 =0.5 and cos 30 = sqrt 3/2

we have answers as

8. u=16 and v = 8\sqrt{3}

9) y=5 and x=5\sqrt{3}

10) tan 30 =\frac{1}{\sqrt{3} }

So y=4\sqrt{3}

x=8\sqrt{3}


11) a=22 and b=11

12) b=1.5 and a=1.5\sqrt{3}

13) y=20\sqrt{3}

and x=10



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F(x) = x + 6 , find the ordered pair when x = -2.
ss7ja [257]

-------------------------------------------------------------------------------------------------------------

Answer:  \textsf{Option A, (-2, 4)}

-------------------------------------------------------------------------------------------------------------

Given:  \textsf{f(x) = x + 6}

Find:  \textsf{f(-2)}

Solution:  We need to plug in the value -2 into every variable x that we have in the expression and simplify to get the solution.

<u>Plug in the values</u>

  • \textsf{f(x) = x + 6}
  • \textsf{f(-2) = -2 + 6}

<u>Simplify</u>

  • <u />\textsf{f(-2) = -2 + 6}
  • \textsf{f(-2) = 4}

Therefore, the ordered pair that would match would have a x-coordinate of -2 and a y-coordinate of 4 producing (-2, 4) which matches option A.

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Find the measure of the arc or angle indicated​
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Step-by-step explanation:

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Uma função f é dada por f(x) = ax + b, em que a e b são números reais. Se f(–1) = 3 e f(1) = –1, determine o valor de f(3).
ale4655 [162]
F(x) = ax + b
Usa-se a informacao dada para criar um sistema de 2 equacoes com 2 variaveis. Resolve-se o sistema pare determinar os valores de a e b.Uma vez que se sabe os valores de a e b, escreve-se a funcao f com os valores de a e b. Finalmente calcucla-se f(3) usando a funcao f.


f(-1) = 3

a(-1) + b = 3

f(1) = -1

a(1) + b = -1

O sistema de equacoes e o seguinte.
Resolvemo-lo par adicao. 
A variavel a e eliminada.



-a + b = 3
a + b = -1

2b = 2

b = 1

a + 1 = -1

a = -2

Agora sabemos the a = -2 e b = 1.
Escrevemos a funcao f usando os valores the a e b calculados..



f(x) = -2x + 1

f(3) = -2(3) + 1 = -6 + 1 = -5

f(3) = -5
6 0
3 years ago
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