Ask question

Ask question

All categories

3 years ago

8

How many roots do the functions have in common? f(x)=x^2-4x-5

1 answer:

Jlenok [28]3 years ago

3 0

Answer:

2

Step-by-step explanation:

$f(x)=x^2-4x-5\\f(x)=(x+1)(x-5)\\x=-1, 5$

You might be interested in

At 3pm, the length of the shadow of a thin vertical pole standing on level ground is the same as the height of the pole. A while

aliya0001 [1]

Answer: The height of the pole is 175.97 ( approx )

Step-by-step explanation:

Let the height of the pole is x cm,

Also, let the angle of elevation of the sun to the pole at 3 pm is $\theta$

Thus, by the question,

$tan\theta = \frac{\text{ The height of the pole}}{\text{ The height of the shadow}}$

$\implies tan\theta = \frac{x}{x}$ ( at 3pm the height of shadow = height of the pole)

$\implies tan\theta = 1$

$\implies \theta = 45^{\circ}$

Again, according to the question,

When the angle of elevation is $(\theta - 12^{\circ})$ ,

The height of shadow = x + 95,

$\implies tan(45-12)^{\circ}=\frac{x}{x+95}$

$\implies tan 33^{\circ}=\frac{x}{x+95}$

$\implies tan 33^{\circ}x + 95\times tan33^{\circ}=x$

$\implies tan 33^{\circ}x - x = - 95\times tan33^{\circ}$

$\implies -0.3505924068 x = - 61.6937213538$

$x=175.969930202\approx 175.97\text{ cm}$

4 0

3 years ago

What are the common factors of 12 and 28?

AlexFokin [52]

Answer: 1,2 and 4

Step-by-step explanation:

factors of 12 are : 1,2,3,4,6,12

factors of 28 are :1,2,4,7,14,28

commom factors are= 1,2,4

8 0

2 years ago

Given the midpoint of (-10,7) and the endpoint of (5,-3), what is the other endpoint?

xxMikexx [17]

(-25,17)

Hope this helps.

4 0

3 years ago

Select the correct answer from each drop-down menu.

tester [92]

Answer:

April
She did not pack enough layers of centimeter cubes
240 cubic centimeters

Step-by-step explanation:

Dimensions of the prism is 5x8x6

April made a mistake, she packed 4 layers of unit cubes instead of 5 layers

<u>Correct volume of the prism is:</u>

5*8*6 = 240 cm³

<u>Correct answer choices:</u>

April
She did not pack enough layers of centimeter cubes
240 cubic centimeters

6 0

3 years ago

All of number one thank you

Vadim26 [7]

I'm going to divide number one to 6 parts
1. $\frac{4}{10}$ = $\frac{40}{100}$
2. $\frac{7}{10}$ = $\frac{70}{100}$
3. $\frac{2}{10}$ = $\frac{20}{100}$
4. $\frac{9}{10}$ = $\frac{90}{100}$
5. $\frac{18}{10}$ = $\frac{180}{100}$
6. $\frac{26}{10}$ = $\frac{260}{100}$

because to make the denominator to 100, you need to multiply 10 by 10 which is 100.
and because you multiply 10, you also have to multiply the numerator by 10.
EXAMPLES: $\frac{3}{10}$ = $\frac{3}{10}$ × $\frac{10}{10}$ = $\frac{30}{100}$

6 0

3 years ago

Read 2 more answers