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vaieri [72.5K]
2 years ago
14

Math Simplify the expression ​

Mathematics
1 answer:
djyliett [7]2 years ago
4 0

\bf \cfrac{1}{x-10}\div\cfrac{9x}{x^2-9x-10}\implies \cfrac{1}{x-10}\cdot \cfrac{x^2-9x-10}{9x} \\\\\\ \cfrac{1}{\begin{matrix} x-10 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix} }\cdot \cfrac{\begin{matrix} (x-10) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~(x+1)}{9x}\implies \cfrac{x+1}{9x}

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A scale model of a tower is 24 inches tall and 18 inches wide. If the height of the actual tower is 60 feet, what is its width?
meriva

Answer:

The actual tower would be 45 ft wide.

Step-by-step explanation:

In order to find the width, we need to determine the scale factor. We can do that by dividing the actual height by the model height.

60ft:24in = 15ft:6in = 2.5ft:1in

Now we use that scale factor to determine the width. Multiply the scale factor by the width of the model.

18 inches * 2.5ft/in = 45 feet

6 0
2 years ago
Write the equation of a line that is perpendicular to the line that passes through (4,−3)and (−7,8).
masha68 [24]

Line perpendicular to a given line is = 1/m

To find m, use m =y2-y1/x2-x1 formula

m = (8-(-3))/(-7-4)

m = 11/-11,

m = -1

Use y= mx+c to find equation of line

Plug in a pair of values,

-3= -1(4)+ c

c= 1

Thus, equation is:

y = -x+1

Equation of line perpendicular to this line is:

y= x+1

Hope it helps :)

Pls mark it as Brainliest :)

3 0
2 years ago
Please give me the answer to this problem
Darya [45]

Total 27inch^

Calculation of 1 rectangle +1 triangle(11-7=4 is the base)

triangle    x^+4^=5^

                  x^+16=25

                  x^=9

                    x=3      (height=3)

Sides of triangle  Base=4   Hypotenuse=5     height =3 

area 1/2 4  x  3  =2x3=6

Area triangle =6

Area Rectanglel   7x3=21

21+6=27 inch^ total area



5 0
3 years ago
Expanded form for 67.943
ratelena [41]
67.943

= 60.000 + 7.000 + 0.900 + 0.040 + 0.003
6 0
3 years ago
The heat in the house is set to keep the minimum and maximum temperatures (in degrees Fahrenheit) according to the equation |x –
olga2289 [7]

Given the equation |x-72.5|=4.

When x is maximum, we have

|x-72.5|= x-72.5. Hence x-72.5 =4\\x=76.5

The maximum temperature is 76.5\; ^oF

When x is minimum, we have

|x-72.5|=72.5-x. Hence 72.5-x =4\\x=68.5

The minimum temperature is 68.5\; ^oF

7 0
3 years ago
Read 2 more answers
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