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Finger [1]
3 years ago
11

8y - 1 = x 3x = 2y Solve the system of equations by substitution. (1/33, 1/11) (1/11, 3/22) no solution coincident

Mathematics
1 answer:
Len [333]3 years ago
3 0
Hello!

8y - 1 = x
3x = 2y

Put what x equals in the first equation in place of x in the second equatoin

3(8y - 1) = 2y

Distribute the 3

24y - 3 = 2y

Subtract 24y from both sides

-3 = -22y

Divide both sides by -22

y = 3/22

Now we put y into the first equation

8(3/22) - 1 = x

Multiply

12/11 - 1 = x

Subtract

1/11 = x

The answer is (1/11, 3/22)

Hope this helps!
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If Jeffrey takes 50 classes in his first month as an instructor, he will earn back the amount he spent on certification.

Step-by-step explanation:

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What is the following sum in simplest form?
elena55 [62]

Answer:

C.  9√2.

Step-by-step explanation:

√8 + 3 √2+ √ 32

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3 years ago
What is the factored form of the polynomial? X^2 -12+27?
Natali5045456 [20]

Answer:

(x-9)(x-3)

Step-by-step explanation:

Look to the number on the right, 27, and list out the factors. (1 and 27, 3 and 9, -1 and -27, -3 and -9)

Next, find the factors that would equal the middle number, -12, when added. -3 and -9 add to -12. Therefore, choose these numbers and put them in the form (x-9)(x-3).

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3 years ago
Complete the ratio table to convert the units of measure from centimeters to inches or inches to centimeters.
djverab [1.8K]

Answer:

Step-by-step explanation:

2.45 m in inches = 96.457 in. 2.45 meters to inches = 96.457″. To convert 2.45 meters to inches you have to divide the length expressed in the base unit of length in the International System (SI) of Units by 0.0254 .25.4Centimeters

8 0
2 years ago
Read 2 more answers
∠ACE is formed by two secants intersecting outside of a circle. If minor arc BD = 25°, minor arc AB = 115°, and minor arc DE = 1
dmitriy555 [2]

Answer:

m∠ACE = 40°

Step-by-step explanation:

Consider the below figure attached with this question.

Given information: arc BD = 25°, minor arc AB = 115°, and minor arc DE = 115°.

We need to find the measure of ∠ACE.

minor arc AB + minor arc BD + minor arc DE + minor arc AE = 360°

115° + 25° + 115° + minor arc AE = 360°

255° + minor arc AE = 360°

minor arc AE = 360° - 255°

minor arc AE = 105°

The measure of minor arc AE is 105°.

Using Intersecting secants outside the circle theorem

Angle between two secants = \frac{1}{2}(Major arc - Minor arc)

\angle ACE=\frac{1}{2}[Arc(AE)-Arc(BD)]

\angle ACE=\frac{1}{2}[105-25]

\angle ACE=\frac{1}{2}[80]

\angle ACE=40

Therefore, the measure of ∠ACE is 40°.

3 0
3 years ago
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