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Dima020 [189]
3 years ago
5

Find the value of x.

Mathematics
1 answer:
GenaCL600 [577]3 years ago
3 0

Answer:

x = 18

Step-by-step explanation:

The intersecting chord theorem states that the products of the lengths of the line segments on each chord are equal.

21 × x = 14 × 27

21x = 378

x = 378/21

x = 18

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Given the functions f(x) = 2x + 5 and g(x) = x2 + 8, which of the following functions represents f(g(x)] correctly?
lakkis [162]

Answer:

Choice 4.

Step-by-step explanation:

f(g(x))

Replace g(x) with x^2+8 since g(x)=x^2+8.

f(g(x))

f(x^2+8)

Replace old input,x, in f with new input, (x^2+8).

f(g(x))

f(x^2+8)

2(x^2+8)+5

Distribute:

f(g(x))

f(x^2+8)

2(x^2+8)+5

2x^2+16+5

Combine like terms:

f(g(x))

f(x^2+8)

2(x^2+8)+5

2x^2+16+5

2x^2+21

7 0
3 years ago
Angie has a square dog pen with a perimeter of 20 meters. She wants to put a diagonal piece of fencing inside her pen to cut it
Dima020 [189]

Answer: 7.07 miles

Step-by-step explanation:

Hi, to answer this, first, we have to find the length of the square dog pen.

Perimeter of a square = 4 x sides

Replacing with the value given:

20 = 4 s

Solving for s:

20/4=s

Side = 5 meters

Since the situation forms a right triangle (see attachment) we have to apply the Pythagorean Theorem:  

c^2 = a^2 + b^2  

Where c is the hypotenuse of the triangle (in this case length of the diagonal) and a and b are the other sides.  

Replacing with the values given:  

c^2 = 5^2 + 5^2  

c^2 = 25+25

c^2 = 50

c = √50

c = 7.07 miles  

Feel free to ask for more if needed or if you did not understand something.  

7 0
3 years ago
Ms. Avella’s class volunteers at an animal shelter one day per week.each student is responsible for caring for four animals duri
SOVA2 [1]

Answer:

Option (3)

Step-by-step explanation:

Since, every student is responsible for the caring of 4 animals during every hour,

Number of animals cared for ∝ Number of hours spent at shelter  

a ∝ h

a = kh

Here 'k' = proportionality constant

For h = 1 and a = 4,

k = \frac{h}{a}=\frac{4}{1}

k = 4

a = 4h

By this equation,

For h = 2,

a = 8

For h = 3,

a = 12

For h = 4,

a = 16,

For h = 5,

a = 20

Since, for every input value there is a different output value,

Diagram shows a function.

Therefore, Option (3) will be the correct option.

6 0
4 years ago
What is the output of this function when the input is 0?
balu736 [363]
The output or y is 1
5 0
3 years ago
Please help hahahehhehe
elena55 [62]

150/3 = 50

1 rocket takes 50 gallons of fuel.

152 * 50 = 7,600

To fuel 152 mini rockets it would take 7,600 gallons of fuel.

3 0
4 years ago
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