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zhenek [66]
3 years ago
6

4. For each equation, determine if =-2 is a solution. Explain or show your reasoning.

Mathematics
1 answer:
Aneli [31]3 years ago
6 0

Answer:

a. 14 b. -2

Step-by-step explanation:

a. 10=2x-18

28=2x ; x=14

b. 3x+12=2x+6+4

3x+12=2x+10

x=-2

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Draw a number line model to determine -9 + (-2)
belka [17]
The answer would be -11
6 0
3 years ago
Read 2 more answers
What is the equation of the line parallel to 3x+2y= -4 that goes through the point (4,-1)
sertanlavr [38]

Answer:

y = (-3/2)x + 7

Step-by-step explanation:

3x + 2y = -4 (rearrange to slope intercept form y = mx + b)

2y = -3x - 4

y = (-3/2) x - 2

comparing this to the general form of a linear equation : y = mx + b

we see that slope of this line (and every line that is parallel to this line),

m = -3/2

if we sub this back in to the general form, we get:

y = (-3/2)x + b

We are still missing the value of b. To find this, we are given that the point (4,1) lies on the line. We simply substitute this back into the equation and solve for b.

1 = (-3/2)4 + b

1 = -6 + b

b = 7

substituting this back into the equation:

y = (-3/2)x + 7

6 0
3 years ago
Read 2 more answers
Help!!!! Plssss!!! ASAP
zimovet [89]

Answer:

The y-intercept is (0,-26)

Step-by-step explanation:

Given two points P(a,b) and Q(c,d), the line that passes for both points can be found with the expression

\displaystyle y-b=\frac{d-b}{c-a}(x-a)

We'll take the first two points P(34,-52) and Q(51,-65) to find

y=-\frac{13}{17}(x-34)-52\\ \\y=-\frac{13}{17}x-26

Let's verify if the third point is on the line:

y=-\frac{13}{17}68-26=-52-26=-78

It belongs to the line. To find the y-intercept of the line, we set x to 0

y=-\frac{13}{17}(0)-26=-26

The y-intercept is (0,-26)

5 0
3 years ago
Solve g(x) = h(x) for x:<br> g(x) = -2x - 2<br> h(x) = -4x – 8
marishachu [46]
Answer: x = -3
set them equal to each other and reverse pemdas as shown in my image

3 0
3 years ago
How to find when,<br>y=-1/3x - 3<br>​
Montano1993 [528]
The -3 would be where your line crosses the y-axis, so you would plot your point at -3. your slope will always be counted as rise/run, basically meaning you would count along the y-axis a certain amount of times, in this case -1, and along the x-axis a certain amount of times, here would be three. your next plot point would be (3,-4) and so on. hope this helped!
7 0
2 years ago
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