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sasho [114]
2 years ago
5

Put the following algebraic expression in standard simplified form. 7-12m-19

Mathematics
2 answers:
ASHA 777 [7]2 years ago
7 0
7 - 12m - 19
-12m + 7 - 19
-12m - 12
-12(m + 1)
sammy [17]2 years ago
3 0
I think that the answer is m = -1
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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)}

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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
2 years ago
Lorenzo is planning a 285-mile trip. His car’s EPA rating is 18 mpg. The number of gallons of gas that Lorenzo will need for the
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It would require 15.8333333 to make that trip.
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Identify the properties of equality needed to isolate a varaible and solve a given equation. Use the drop-down menus to show you
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Answer:

If two expressions are equal to each other, and you add the same value to both sides of the equation, the equation will remain equal. When you solve an equation, you find the value of the variable that makes the equation true. In order to solve the equation, you isolate the variable.

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2 years ago
The perimeter of a rectangular swimming pool is 154 m. Its length is 2 m more than twice its breadth. What are the length and th
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Step by step:

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⇒6x+4=154

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⇒\frac{150}{6x}

⇒25=x

The breadth is x=25

The length of the rectangular pool = (2×25+2)=50+2=52m

<em>breadth </em>is 25 and the<em> length </em>is 52

Hope it helps!

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B. They are twice as long and there are 4 of them 
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