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Harrizon [31]
3 years ago
14

3(x - 4) + 8(x + 2).

Mathematics
1 answer:
FromTheMoon [43]3 years ago
3 0
3(x - 4) + 8(x + 2) = 3x - 12 + 8x + 16 = 11x + 4
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Which of the following sets could be the sides of a right triangle?
coldgirl [10]

Answer: Choice B) {3, 5, sqrt(34)}

=====================================

Explanation:

We can only have a right triangle if and only if a^2+b^2 = c^2 is a true equation. The 'c' is the longest side, aka hypotenuse. The legs 'a' and 'b' can be in any order you want.

-----------

For choice A,

a = 2

b = 3

c = sqrt(10)

So,

a^2+b^2 = 2^2+3^2 = 4+9 = 13

but

c^2 = (sqrt(10))^2 = 10

which is not equal to 13 from above. Cross choice A off the list.

-----------

Checking choice B

a = 3

b = 5

c = sqrt(34)

Square each equation

a^2 = 3^2 = 9

b^2 = 5^2 = 25

c^2 = (sqrt(34))^2 = 34

We can see that

a^2+b^2 = 9+25 = 34

which is exactly equal to c^2 above. This confirms the answer.

-----------

Let's check choice C

a = 5, b = 8, c = 12

a^2 = 25, b^2 = 64, c^2 = 144

So,

a^2+b^2 = c^2

25+64 = 144

89 = 144

which is a false equation allowing us to cross choice C off the list.

7 0
3 years ago
What is the best estimate of the product 3780 times 2
Leviafan [203]

Answer:

7560

Step-by-step explanation:

I used google calculator

6 0
3 years ago
Suppose f′(6)=5 and g′(6)=7. <br> Find h′(6) where h(x)=4f(x)+5g(x)+1.
Nimfa-mama [501]

The value of the derivative of functions h'(6) as requested in the task content is; 55.

<h3>What is the value of h'(6)?</h3>

Since it follows from the task content that the function h(x)=4f(x)+5g(x)+1.

Hence, the derivative of h(x) can be evaluated as;

h'(x)=4f'(x)+5g'(x)

On this note, by substitution, it follows that;

h'(6)=4(5)+5(7)

h'(6) = 55.

Read more on functions;

brainly.com/question/6561461

#SPJ1

3 0
2 years ago
The graph below represents the amount of change Jaxon would receive, y, if he bought a item with a cost of x.
alexira [117]

Answer:

I don't really understand the question

Step-by-step explanation:

I don't know the answer

4 0
3 years ago
How do I find the reciprocal of the fractions 2/3 and 8/3
Mice21 [21]

2/3 reciprocal is 3/2, & 8/3 reciprocal is 3/8. The numbers are just filled to find their reciprocal!

5 0
3 years ago
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