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salantis [7]
3 years ago
5

Find the value of x .

Mathematics
1 answer:
pantera1 [17]3 years ago
4 0

Answer:

10

Step-by-step explanation:

By using intersecting chord theorem:

NH.HT=MH.HY

(x+20)*8=12*20

x+20=12*20/8

x+20=240/8

x+20=30

x=30-20

x=10

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lyudmila [28]
Concept:

First eliminate the t from x=3t and then put it in y=t² and then graph it. As, limit of t is not  restricted so t ∈ R(all real numbers)

As it is difficult to make graph here so I have solved it by hand and add all detail regarding it.

6 0
3 years ago
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Last year a computer was $350. The computer company raise prices this year and the price has increased by 5%. What was the price
Juliette [100K]

Answer:

367.5

Step-by-step explanation:

5% of 350 is 17.5

$350+$17.5=367.5

6 0
3 years ago
A dog weighs 2 pounds less than 3 times the weight of a cat. The dog weighs twenty two more pounds than the cat
Nesterboy [21]

Complete Question

A dog weighs 2 pounds less than 3 times the weight of a cat. The dog weighs twenty two more pounds than the cat.

Write and solve an equation to find the weights of the cat and the dog.

Answer:

Weight of cat = x = 12 pounds

Weight of Dog = y = 34 pounds

Step-by-step explanation:

Let's represent:

Weight of cat = x

Weight of Dog = y

A dog weighs 2 pounds less than 3 times the weight of a cat.

y = 3x - 2........ Equation 1

The dog weighs twenty two more pounds than the cat

y = x + 22....... Equation 2

The equation is given as:

y = y

3x - 2 = x + 22

Collect like terms

3x - x = 22 + 2

2x = 24

x = 24/2

x = 12 pounds

Solving for y using any of the equations:

y = 3x - 2

y = 3 × 12 - 2

y = 36 - 2

y = 34 pounds

Therefore:

Weight of cat = x = 12 pounds

Weight of Dog = y = 34 pounds

6 0
2 years ago
Solve 2x^3+ x^2- 13x + 6, given that one of its factors is (x - 2) with an area model
melamori03 [73]

Answer:

Step-by-step explanation

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7 0
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Nikitich [7]

Answer:

Input

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Step-by-step explanation:

we know that

<u>Independent variables</u>, are the values that can be changed or controlled in a given model or equation

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we have the function

d(t)=50t

In this problem

This is a proportional relationship between the variables d and t

The function d(t) represent the dependent variable or the output

The variable t represent the independent variable or input

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