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noname [10]
3 years ago
12

Write the slope-intercept form of the equation of the line that has the same y-intercept as the black line shown and passes thro

ugh the point (4, 4) on the blue line. Explain how you determined your answer.

Mathematics
1 answer:
Mazyrski [523]3 years ago
5 0

Answer:

y = 0.5x + 2

Step-by-step explanation:

the y-intercept is 2, as shown in the graph

the slope is 0.5. this is because while the x-value goes up by 2, the y-value goes up by one (from 0, 2 to 2, 3).

using the slope formula of rise / run, you get 1/2, which is equal to 0.5

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Factor completely. 12x4+18x3+45x2 Enter your answer in the box.
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QUESTION 1

The given expression is

12x^4+18x^3+45x^2

The greatest common factor is 3x^2.

We factor to obtain;

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QUESTION 2

The given quadratic equation is

x^2+6x-72=0

We split the middle term to obtain

x^2+12x-6x-72=0

Factor by grouping;

x(x+12)-6(x+12)=0

(x+12)(x-6)=0

Use zero product property;

(x+12)=0\:\:or\:\:(x-6)=0

x=-12\:\:or\:\:x=6

QUESTION 3

The given system of equation is

3x+4y=-8

7x-3y=6

If we multiply 3x+4y=-8 by 3, we obtain;

9x+12y=-24

If we multiply 7x-3y=6 by 4 we obtain;

28x-12y=24

Adding the last two equations will give us;

37x=0

The y-variable is eliminated.

Answer:Multiply 3x+4y=−8

by 3. Multiply 7x−3y=6 by 4. Add the resulting equations together.

6 0
3 years ago
Quadrilateral LMNO is a parallelogram, and LM=24-9 and NO=y-2, find the value of "y" and the length of NO.
Slav-nsk [51]

Answer:

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Step-by-step explanation:

Let the side of the parallelogram LM and NO given be 2y - 9 and y - 2

Since LMNO is a parallelogram, hence;

LM = NO

2y - 9 = y - 2

2y - y = -2 + 9

y = 7

Since NO = y - 2

NO = 7 - 2

NO = 5

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Answer:

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Step-by-step explanation:

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3 years ago
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