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valkas [14]
3 years ago
13

Solve the following system of equations. Label the solution 4x-2y=8 y=1/2x+2

Mathematics
1 answer:
Zielflug [23.3K]3 years ago
5 0

Answer:

(4,4)

Step-by-step explanation:

4x-2y=8

y=1/2x+2

Since the second equation is solved for y, I will use substitution

4x - 2(1/2x +2) = 8

Distribute

4x - x -4 = 8

Combine like terms

3x -4 = 8

Add 4 to each side

3x-4+4 = 8+4

3x = 12

Divide each side by 3

3x/3 = 12/3

x = 4

Now we need to find y

y=1/2x+2

y = 1/2(4) +2

y = 2+2

y =4

The solution is (4,4)

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Han's house is 450 meters from school. Lin’s house is 135 meters closer to school. How far is Lin’s house from school?
Marina86 [1]

Solution:

<u>Note that:</u>

  • Han's house = 450 m from school
  • Lin's house = (450 - 135) from school

<u>Looking at the options, we can tell that the letter "z" represents Lin. </u>

  • => z = (450 - 135)
  • => z = 450 - 135

This option matches with Option D.

Option D is correct.

6 0
3 years ago
Solve the proportion and round your answer to the nearest tenth.
GalinKa [24]

Answer:

y = 1.1

Step-by-step explanation:

Proportion is a statement that two ratios are equal.

It can be written in two ways:

  • Two equal fractions \frac{a}{b} = \frac{c}{d}
  • Two equal sides a: b = c: d.

We can use cross products to find a missing term in it.

Let us solve the question

∵ The proportion statement is \frac{7.7}{15.4} = \frac{y}{2.2}

→ Use the  cross multiplication to find y

∵ y × 15.4 = 7.7 × 2.2

∴ 15.4y = 16.94

→ Divide both sides by 15.4 to find y

∵ \frac{15.4y}{15.4} = \frac{16.94}{15.4}

∴ y = 1.1

<em>No need to round it to the nearest tenth because the answer has no hundredth to round it to the tenth</em>

8 0
3 years ago
Evaluate the following functions at x = 10 q(x)=x^2-2x+2​
Oduvanchick [21]

Answer:

82

Step-by-step explanation:

given:x=10

Evaluating,

(10)²-2(10)+2

=100-20+2

=80+2

=82

Pls mark me brainliest

5 0
3 years ago
What does the numerator of a fraction tell you about where to place it on a number line?
bixtya [17]
Is there a fraction or a number line to explain you question?☺
5 0
3 years ago
What is 8/12 + A/12=2/b
il63 [147K]

Answer:

the answer i got was a=−8b+24/b

Step-by-step explanation:

hoped I helped:)

8 0
3 years ago
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