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2 years ago

Find the value of the variable

Mathematics

1 answer:

Neporo4naja [7]2 years ago

8 0

Answer:

x=6

Step-by-step explanation:

I would look at this triangle and notice that x can be solved by setting up a ratio.

I generally put the short side of the triangle on the top and the long side on the bottom

4/x = x/9

You then cross multiply to get 36=x^2, or +-6=x

A length of a triangle cannot be negative, so we are left with the answer x=6

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The scale drawing of a window is 1 inch by 2 inches. The actual size of the window is 24 inches by 48 inches.

weeeeeb [17]

This means that every 1 inch in the drawing is 24 inches of the actual size.

Hope this helps!

8 0

3 years ago

If f(x-3)=x^2-4x+5, what's f(1-x)

olganol [36]

Answer:

$\large\boxed{f(1-x)=x^2-4x+5}$

Step-by-step explanation:

$f(x-3)=x^2-4x+5\\\\f((x-3)+3)\to\text{put x + 3 to the equation of the function:}\\\\f(x-3+3)=(x+3)^2-4(x+3)+5\\\text{use the distributive property and}\ (a+b)^2=a^2+2ab+b^2\\f(x)=x^2+2(x)(3)+3^2+(-4)(x)+(-4)(3)+5\\f(x)=x^2+6x+9-4x-12+5\qquad\text{combine like terms}\\f(x)=x^2+(6x-4x)+(9-12+5)\\f(x)=x^2+2x+2\\\\f(1-x)\to\text{put 1 - x to the equation of the funtion f(x):}\\\\f(1-x)=(1-x)^2+2(1-x)+2\\\text{use the distributive property and}\ (a-b)^2=a^2-2ab+b^2$

$f(1-x)=1^2-2(1)(x)+x^2+(2)(1)+(2)(-x)+2\\f(1-x)=1-2x+x^2+2-2x+2\qquad\text{combine like terms}\\f(1-x)=x^2+(-2x-2x)+(1+2+2)\\f(1-x)=x^2-4x+5$

4 0

3 years ago

HELP NEEDED!!!

V125BC [204]

a) The formula for compound interest is:

Total = starting amount x (1 + interest rate)^ number of years

Using the given information you have:

1200 = 500 x (1+0.045)^x where x is the length of time you want to find.

1200 = 500 (1.045)^x

Divide both sides by 500:

2.4 = 1.045^x

Use natural logarithms:

ln(1.045^x) = ln(2.4)

Solve for x:

X = ln(2.4) / ln(1.045)

X = 19.889 years ( Round the answer as needed).

6 0

3 years ago

What is the value of x in the triangle?

IRINA_888 [86]

Answer:

B) 24

Step-by-step explanation:

⇒ $sin\alpha = \frac{O}{H}$ [Using SOHCAHTOA]

⇒ $sin(45) = \frac{12\sqrt{2} }{x}$ [Substitute in values]

⇒ $x = \frac{12\sqrt{2} }{sin(45)}$ [Rearrange to make x the subject]

⇒ $x = 24$

6 0

2 years ago

What is the area of the composite figure<br>

Zielflug [23.3K]

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bit. $^{}$ ly/3a8Nt8n

6 0

2 years ago