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Bumek [7]
3 years ago
7

Solve by elementation

Mathematics
2 answers:
lana66690 [7]3 years ago
8 0
I don't understand can you show have to do this pleas
Kryger [21]3 years ago
4 0
Elimination occurs when you add or subtract each equation in order to isolate one variable.

In this case, the first equation can be multiplied by 3. This will get you a -12x in one equation and a 12x in the other.

-12x - 9y = -42
12x + 5y = 2

Now add the second equation to the first to cancel the -12x and 12x.

-4y = -40

Now divide both sides by -4.

y = 10

Plug in the y value for one of the original equations and solve.

12x + 5(10) = 2
12x + 50 = 2
12x = -48
x = -4

Your solution set is (-4, 10)
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Find the area of the circle. ​
denis-greek [22]

Answer:

78.5 cm^2

Step-by-step explanation:

1, find the radius (half a diameter) R = 5

3.14 * 5^2

3.14 * 25 = 78.5

4 0
3 years ago
What is the answer to this
ivann1987 [24]

Answer:

AC=BD

BY using the rules of parallelograms we see that since AB is l l to DC and AD is l l to BC, then the length of the diagonals BD and AC must be equal

Step-by-step explanation:

6 0
3 years ago
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Please help hate geometry
Vladimir [108]

a.\\\dfrac{12}{7}=\dfrac{k}{8}\ \ \ \ |\text{cross multiply}\\\\7k=12\cdot8\\\\7k=96\ \ \ \ |:7\\\\k=\dfrac{96}{7}\to k=13\dfrac{5}{7}

b.\\\dfrac{3}{4}(x+3)=9\ \ \ \ \ |\text{use distributive property}\\\\\dfrac{3}{4}x+\dfrac{3}{4}\cdot3=9\\\\\dfrac{3}{4}x+\dfrac{9}{4}=9\ \ \ \ \ |\cdot4\\\\3x+9=36\ \ \ \ |-9\\\\3x=27\ \ \ \ |:3\\\\x=9

c.\\\dfrac{4+m}{3}=\dfrac{5}{6}\ \ \ \ \ |\text{cross multiply}\\\\6(4+m)=3\cdot5\ \ \ \ |\text{use distributive property}\\\\6\cdot4+6m=15\\\\24+6m=15\ \ \ \ |-24\\\\6m=-9\ \ \ |:6\\\\m=-\dfrac{9}{6}\\\\m=-\dfrac{3}{2}\\\\m=-1\dfrac{1}{2}\to x=-1.5

d.\\\dfrac{5}{9}c-\dfrac{3}{4}=\dfrac{7}{9}c\ \ \ \ |+\dfrac{3}{4}\\\\\dfrac{5}{9}c=\dfrac{7}{9}c+\dfrac{3}{4}\ \ \ \ |-\dfrac{7}{9}\\\\-\dfrac{2}{9}c=\dfrac{3}{4}\ \ \ \ |\cdot\left(-\dfrac{9}{2}\right)\\\\c=-\dfrac{27}{8}\to c=-3\dfrac{3}{8}

5 0
4 years ago
Read 2 more answers
What is the gcf of 378,132
Semmy [17]
First, find the prime factorization of both numbers.

378/2 = 189
189/3 = 63
63/3 = 21
21/3 = 7
7/7 1

378 = 2 * 3^3 * 7

132/2 = 66
66/2 = 33
33/3 = 11
11/11 = 1

132 = 2^2 * 3 * 11

For the GCF, choose the common factors with lower exponent.

378 = 2 * 3^3 * 7
132 = 2^2 * 3 * 11

From 2 and 2^2 choose 2.
From 3 and 3^2 choose 3.
7 and 11 are not common, so do not choose them.

GCF = 2 * 3 = 6
3 0
4 years ago
What is the volume of this rectangular prism?
salantis [7]

Answer:

1cm³

Step-by-step explanation:

You do not need a calculator for this.

The formula for the volume of a rectangular prism is:

Length × Width × Height = Volume

If we substitute our numbers in:

5/4 × 4/3 × 3/5 = 1cm³

All you need to do is multiply across.

5 × 4 × 3 = 60

4 × 3 × 5 = 60

The numerator and denominator both equal 60. So the fraction would look like this if you were to keep it as a fraction.

60/60

8 0
3 years ago
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