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bixtya [17]
2 years ago
11

What is the solution to the system of equations below? y = -2x - 6 and 2y = -4x - 12

Mathematics
1 answer:
katen-ka-za [31]2 years ago
6 0

Answer: Infinitely Many Solutions

Step-by-step explanation:

Substitute y into the second equation:

2(-2x-6)=-4x-12

Then you get -4x-12=-4x=-12. Since this is 0=0 it would make it infinitely many solutions.

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Which point is a reflection of T(-6.5, 1) across the x-axis and the y-axis?
drek231 [11]
First, start off with the x-axis. -6.5, 1 becomes 6.5, 1. This is because point T is 6.5 to the left of the x-axis line, so our new point would be 6.5 to the right of the x-axis line. Same thing for the y-axis, (6.5, 1) would become (6.5, -1).
8 0
3 years ago
Complete the statements using the drop-down menus. The line perpendicular to the y-axis through the point (–4, –2) is . The slop
Vlad [161]

Answer:

Y=-2, 0

Step-by-step explanation:

EDG 2020

3 0
3 years ago
Solve 2(b − 3) ≥ 3(3 − b) and describe the graph of the solution. Show all your work.
solong [7]

Answer:

\large\boxed{b\geq3\to b\in[3,\ \infty)}

Step-by-step explanation:

2(b-3)\geq3(3-b)\qquad\text{use the distributive property:}\ a(b+c)=ab+ac\\\\(2)(b)+(2)(-3)\geq(3)(3)+(3)(-b)\\\\2b-6\geq9-3b\qquad\text{add 6 to both sides}\\\\2b-6+6\geq9+6-3b\\\\2b\geq15-3b\qquad\text{add}\ 3b\ \text{to both sides}\\\\2b+3b\geq15-3b+3b\\\\5b\geq15\qquad\text{divide both sides by 5}\\\\\dfrac{5b}{5}\geq\dfrac{15}{5}\\\\b\geq3

,\ \geq-\text{line to the right}\\-\text{o}\text{pen circle}\\\leq,\ \geq-\text{closed circle}

4 0
3 years ago
Y=2x+1
yan [13]

Answer:

(1) 2 (2) (-1/2,0) (3) (0,1)

Step-by-step explanation:

The slope of the line is the number times x. This equation is y=mx+b, where m is the slope and b is the y-intercept. In this case, m is 2, so we have our slope. The y-intercept is easy, as we already know it to be (0,1). The x-intercept is the point where the line hits x when y=0. To solve for the x-intercept, we set y to 0 and solve. We have 0=2x+1. First, we subtract 1 from both sides and get -1=2x. Next, to get x by itself, divide both sides by 2. Now we have -1/2=x. Now we have our x coordinate for our x-intercept. Because of this, we get (-1/2,0) as our x-intercept.

3 0
2 years ago
In the standard (x, y) coordinate plane, what is the slope of the line joining the points (3,7) and (4,−8)?
rjkz [21]
We know that the slope formula is m = (y1 - y2)/(x1 - x2)
Your points are: (3, 7) and (4, -8)
In this case,
x1 = 3
x2 = 4
y1 = 7
y2 = -8
Now, just plug in the numbers:
m = (7 - -8)/(3-4)
m = 15/-1
m = -15
Your slope is -15.
7 0
3 years ago
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