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3 years ago

14

Tower A is 90 feet tall. Tower B is 180 feet tall. Tower C is 5 times as tall as both Towers A and B combined. How tall is Tower

C?

1 answer:

noname [10]3 years ago

6 0

Answer:

1350

Step-by-step explanation:

I added tower A and B together (90+180) Which gives me 270. Then I did;

270 * 5= 1350 ft. Hope its correct!

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What is the fully factored form of the expression 16x^2 - 49y^2

podryga [215]

Answer:

(4x + 7y)(4x - 7y)

Step-by-step explanation:

Rewrite 16 as 4^2

= 4^2x^2 - 49y^2

Rewrite 49 as 7^2

= 4^2x^2 - 7^2y^2

Apply the Exponent Rule Pt 1 ((a^m*b^m =(ab)^m))

= (4x)^2 - 7^2y^2

Apply the Exponent Rule Pt 2

= (4x)^2 - (7y)^2

Apply Difference of Squares Formula (( x^2-y^2 = (x + y)(x - y)

= (4x + 7y) (4x - 7y)

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2 years ago

Joseph walks his dog 4 times a day to make sure he gets enough exercise. If he walks his dog 2/3 of a mile each time he walks hi

charle [14.2K]

Answer:

18 2/3 miles. 4 x 2/3 =8/3 x 7 = 56/3 ÷3 = 18 2/3 miles.

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3 years ago

Let f be the function given by f(x)= (x-1)(x^2-4)/x^2-a. For what positive values of a is f continuous for all real numbers x?

9966 [12]

Answer:

a =1 and a=4.

Step-by-step explanation:

The function is

$f(x)=\frac{(x-1)(x^2-4)}{x^2-a}$

If we want f(x) to be continuous the denominator needs to be different to 0, otherwise f(x) will be indeterminate.

Now, for a a positive real we have that $x=\sqrt{a}$ will annulate the denominator, i.e

$(\sqrt{a})^2-a = a-a = 0$ . But, if a = 1 we have:

$f(x)=\frac{(x-1)(x^2-4)}{x^2-1} = \frac{(x-1)(x^2-4)}{(x-1)(x+1)}=\frac{(x^2-4)}{x+1}$

so, the value $x=\sqrt{a} = \sqrt{1} = 1$ won't annulate the denominator.

Now, for a = 4 we have:

$f(x)=\frac{(x-1)(x^2-4)}{x^2-4} = x-1$

so, the value $x=\sqrt{a} = \sqrt{4} = 2$ won't annulate the denominator.

In conclusion, for a=1 or a=1, the function will be continuos for all real numbers, since the denominator will never be 0.

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3 years ago

Find the value of x in each of the given triangles.

liraira [26]

Where is the question dude?

5 0

2 years ago

1.4 - 0.2x = 3.2<br><br> helpppp

olga2289 [7]

Answer:

x = -9

Step-by-step explanation:

1.4 - 0.2x = 3.2

0.2x = 3.2 - 1.4

0.2x= 1.8

x= -9

7 0

2 years ago

Read 2 more answers