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mihalych1998 [28]
3 years ago
14

Which property justifies the following statement?

Mathematics
1 answer:
olya-2409 [2.1K]3 years ago
3 0

In the above question 13m=156 we are dividing both sides by 13 so that m=12 .As \frac{156}{13} =12

According to Division property of Equality: If you divide one side of an equation by a number, you also must divide the other side by the same number so that your equation stays the same.

The property Division Property of Equality is justified .

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Evaluate 4 <br> M-n if m= -7 and n = 5.
Svetradugi [14.3K]

Answer: -12

Step-by-step explanation: because -7- 5= -12

4 0
3 years ago
PLS HELP :(
faust18 [17]

Answer: 47.1

Step-by-step explanation:

1/3πr^2h

=1/3×π×32×5

=15π

= 47.123889803847 feet3

4 0
2 years ago
Read 2 more answers
Which of the following is not true? ​
Lisa [10]

Answer:

The last one.

Step-by-step explanation: Because 1/2 divided by 4 = 1/8 and 1/2 x 4/1 = 2

3 0
3 years ago
You have lunch at an Italian restaurant. The cost of lunch before tax is
coldgirl [10]

7/100 = 0.07

0.07 * 12.5 = 0.88

20/100 = 0.2

0.2 * 12.5 = 2.5

2.5 + 0.88 = 3.38

3.38 + 12.50 = 15.88

You spend a total of $15.88.

4 0
3 years ago
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Given points A(-1, -2) and B(2, 4) where AP: BP=1:2, find the locus of point P.​
koban [17]

Answer:

x^2 + 4x + y^2 +8y  =  0

Step-by-step explanation:

Given

A = (-1,-2)

B = (2,4)

AP:BP = 1 : 2

Required

The locus of P

AP:BP = 1 : 2

Express as fraction

\frac{AP}{BP} = \frac{1}{2}

Cross multiply

2AP = BP

Calculate AP and BP using the following distance formula:

d = \sqrt{(x - x_1)^2 + (y - y_1)^2}

So, we have:

2 * \sqrt{(x - -1)^2 + (y - -2)^2} = \sqrt{(x - 2)^2 + (y - 4)^2}

2 * \sqrt{(x +1)^2 + (y +2)^2} = \sqrt{(x - 2)^2 + (y - 4)^2}

Take square of both sides

4 * [(x +1)^2 + (y +2)^2] = (x - 2)^2 + (y - 4)^2

Evaluate all squares

4 * [x^2 + 2x + 1 + y^2 +4y + 4] = x^2 - 4x + 4 + y^2 - 8y + 16

Collect and evaluate like terms

4 * [x^2 + 2x + y^2 +4y + 5] = x^2 - 4x + y^2 - 8y + 20

Open brackets

4x^2 + 8x + 4y^2 +16y + 20 = x^2 - 4x + y^2 - 8y + 20

Collect like terms

4x^2 - x^2 + 8x + 4x + 4y^2 -y^2 +16y + 8y  + 20 - 20 =  0

3x^2 + 12x + 3y^2 +24y  =  0

Divide through by 3

x^2 + 4x + y^2 +8y  =  0

3 0
3 years ago
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