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3 years ago

12

4 Solve the system of equations using the substitution method. y = 2 2x+y=8

1 answer:

Sindrei [870]3 years ago

5 0

Answer: 2

Step-by-step explanation:

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6/12 + 1/3 Simplify completely, show all work.

marissa [1.9K]

If you multiply the numerator and the denominator of 1/3 by 4, you will get a common denominator.

1/3 = 4/12

Then you can add:

6/12 +4/12 = 10/12

Just add the top 2 numbers and the bottom 2 stay the same. Then you can simplify. 2 goes into both 10 and 12, so divide them both by 2 and you get 5/6 as your answer.

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4 years ago

What is the slope of the line that passes through the points listed in the table?

lana66690 [7]

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3 years ago

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Triangle XYZ, X equals 27 cm, Y equals 79 cm and angle C equals 142Degrees. Find the length of Z, to the nearest centimeter.

Oksi-84 [34.3K]

Given:

In triangle XYZ, x = 27 cm, y = 79 cm and $\angle C=142^\circ$ .

To find:

The length of z.

Solution:

In triangle XYZ, using the Law of cosine, we get

$z^2=x^2+y^2-2xy\cos Z$

Putting the given values in the above formula, we get

$z^2=(27)^2+(79)^2-2(27)(79)\cos (142^\circ)$

$z^2=729+6241-4266(-0.788)$

$z^2=6970+3361.608$

$z^2=10331.608$

Taking square root on both sides.

$z=\pm \sqrt{10331.608}$

$z=\pm 101.6445178$

Approx the above value to the nearest number and side length cannot be negative. So,

$z\approx \pm 102\text{ cm}$

Therefore, the length of z is about 102 cm.

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3 years ago

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G(x)=10x+8. What is the value of g(5)?

kenny6666 [7]

5(x)=10x+8 so x is equal to -3

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2 years ago

Make x the subject of these equations.

shepuryov [24]

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$(2)8(x + a) = b \\ 8x + 8a = b \\ 8x = b - 8a \\ \frac{8x}{8} = \frac{b - 8a}{8} \\ x = \frac{b - 8a}{8}$

$(3)a(x - 7) = b \\ ax - 7a = b \\ ax = b + 7a \\ \frac{ax}{a} = \frac{b + 7a}{a} \\ x = \frac{b + 7a}{a}$

$(4)c(2 + x) = 6 \\ 2c + cx = 6 \\ cx = 6 - 2c \\ \frac{cx}{c} = \frac{6 - 2c}{c} \\ x = \frac{6 - 2c}{c}$

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4 years ago

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