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Doss [256]
2 years ago
7

Which of the following is a factor of both f(x)=x^2-4x-45 and g(x)=x^2-25

Mathematics
1 answer:
wolverine [178]2 years ago
8 0

Answer:

-5

Step-by-step explanation:

x² - 4x - 45 = 0

(x - 9)(x + 5) = 0

x = 9 or -5

x² - 25 = 0

(x + 5)(x - 5) = 0

x = 5 or -5

-5 is a common factor between both of them

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Hey can you please help me posted picture of question
Flauer [41]
We can determine the correct graph by finding its roots

x² - 4x - 12 = 0

x² - 6x + 2x - 12 = 0

x(x-6) +2(x-6) = 0

(x+2)(x-6) = 0

This means the roots of the function are x=-2, and x=6 and the graph will cross x axis at these two points. From the given graphs, the graph B seems to cross these points.

So the answer to this question is option B
4 0
2 years ago
A wheel with radius 1 foot makes 1 revolution in 4 seconds. What is the linear velocity, in feet per second, of a point on the e
3241004551 [841]

Radius = r = 1 foot

Angular velocity = w = 1 revolutions in 4 seconds

So,

w = 0.25 revolutions per second

Since,

1 revolution = 2π radians

We can write the above equation as:

w = 0.25 x 2π radians per second = 0.5π radians per second

Linear Velocity = v = r w

Using the values, we can write:

v = 1 x 0.5π  

= 0.5 π

= π/2 feet per second

Therefore, the correct answer is option B

7 0
2 years ago
Read 2 more answers
Judy is making scarves to give to her family as gifts. She needs to make 5 scarves and each scarf is 3.75 feet long. How many ya
Trava [24]
You multiply five by 3.75 and you get 18.75 ft. to get yards you divide by three and you get 6.25 yards

6 0
3 years ago
The prices of 8 sweaters, in dollars, are given.
RSB [31]
First order all the numbers least to greatest.<span>

$28, $28, $30, $31, $35, $36, $41, $43

Because there are two numbers in the middle (no, one middle number).

Add the two together, and divide by 2

31 + 35 = 66

66/2 = 33

</span><span>B.$33 is your answer

hope this helps</span>
8 0
3 years ago
Please help with this question
11111nata11111 [884]

Answer:

QR and CD

Step-by-step explanation:

TQRS is similar to BCDE. Align the letters.

T Q R S

B C D E

Some examples of corresponding sides.

TS and BE

TQ and BC

6 0
3 years ago
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