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Anton [14]
3 years ago
15

Can you help me with this.

Mathematics
2 answers:
Fudgin [204]3 years ago
7 0

Answer:

1.[opposite side of parallelogram are equal:]

6x-3=x+7

6x-x=7+3

x=10/5=2

x=2

again

y+4=3y+2

4-2=3y-y

y=2/2=1

y=1

2.

[diagonal of parallelogram bisect each other]

8x=24

x=24/8=3

x=3

again

2x+10=3x+4

10-4=3x-2x

x=6

3.

5y-3=2y+36 [alternate angle]

5y-2y=36+3

y=39/3=13

y=13°

4.

8y+11+3y+4=180°[co interior angle]

11y=180-15

y=165/11=15

y=15°

again

7x=3y+4=3×15+4=49° .[opposite angle of parallelogram are equal:]

5..[opposite side of parallelogram are equal:]

7x-10=4x+2

7x-4x=10+2

3x=12

x=12/3

x=4

Ugo [173]3 years ago
5 0

Answer:

1. x = 2

y = 1

2. x = 3 or 6 (Mistake or typo in problem)

3. y = 13

4. x = 7

y = 15

5. x = 4

Step-by-step explanation:

1. 6x - 3 = x + 7, 5x = 10, x = 2

3y + 2 = y + 4, 2y = 2, y = 1

2. There is most likely a typo. Either 8x = 24 and x = 3 or 2x + 10 = 3x + 4 and x = 6

3. 5y -3 = 2y + 36, 3y = 39, y = 13

4. 8y + 11 + 3y + 4 = 180, 11y + 15 = 180, 11y = 165, y = 15

7x = 3y + 4 = 49, x = 7

5. 7x - 10 = 4x + 2, 3x = 12, x = 4

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Then we can calculate the slope by finding the rise and run. We can choose any two points, but let’s look at the point (–2, 0). To get from this point to the y-intercept, we must move up 4 units (rise) and to the right 2 units (run). So the slope must be

\displaystyle m=\frac{\text{rise}}{\text{run}}=\frac{4}{2}=2m=

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\displaystyle y=2x+4y=2x+4

HOW TO: GIVEN A GRAPH OF LINEAR FUNCTION, FIND THE EQUATION TO DESCRIBE THE FUNCTION.

Identify the y-intercept of an equation.

Choose two points to determine the slope.

Substitute the y-intercept and slope into the slope-intercept form of a line.

EXAMPLE 4: MATCHING LINEAR FUNCTIONS TO THEIR GRAPHS

Match each equation of the linear functions with one of the lines in Figure 9.

\displaystyle f\left(x\right)=2x+3f(x)=2x+3

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Figure 9

SOLUTION

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Figure 10

Finding the x-intercept of a Line

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Set the function equal to 0 and solve for x.

⎧

⎪

⎪

⎨

⎪

⎪

⎩

0

=

3

x

−

6

6

=

3

x

2

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x

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=

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The graph of the function crosses the x-axis at the point (2, 0).

Q & A

Do all linear functions have x-intercepts?

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Figure 11

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​⎩

​⎪

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​⎪

​⎪

​⎧

​​  

​0=

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