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masha68 [24]
3 years ago
11

Find the solutions to the system:

Mathematics
2 answers:
vlada-n [284]3 years ago
8 0
Y = x² - 5x + 2
y = -6x + 4

-6x + 4 = x² - 5x + 2
0 = x² - 5x + 2 + 6x - 4
0 = x² + x - 2

(x + 2)(x - 1)

x = -2 ; x = 1

y = x² - 5x + 2 ; x = -2                  y = x² - 5x + 2 ; x = 1
y = (-2)² - 5(-2) + 2                      y = 1² - 5(1) + 2
y = 4 + 10 + 2                              y = 1 - 5 + 2
y = 16                                          y = -2

y = -6x + 4 ; x = -2                       y = -6x + 4 ; x = 1
y = -6(-2) + 4                               y = -6(1) + 4 
y = 12 + 4                                    y = -6 + 4
y = 16                                          y = -2

Choice C. <span>(-2, 16) and (1, -2) is the answer.</span>


Zina [86]3 years ago
3 0
The correct answer for the question that is being presented above is this one: "d. no solutions." The solutions to the system is this:d. no solutions
y = x^2 - 5x +2 (2,8)
y = 4 - 10 + 2
y = 8

<span>y = x^2 - 5x +2 (-1,2)
</span>y = 1 + 10 + 2
y = 13

<span>y = -6x +4 </span>(2,8)
y = -6(2) + 4
y = 8

y = -6x +4 <span>(-1,2)
</span>y = -6(-1) + 4
y = 2
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3 years ago
Write the equation of the circle passing through the origin with center (– 9, –12) .
malfutka [58]

Answer:

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Step-by-step explanation:

Remember that the center of a circle is written in (h,k) format.  So h= - 9 and k = -12.  Also, the distance between those two points is 15 units, so r = 15.

So the formula (x-h)^{2} +(y-k)^{2}=r^{2}

Should look like (x+9)^{2} +(y+12)^{2}=225

6 0
3 years ago
Can someone help me with this?
KATRIN_1 [288]

To find the equation of the line in slope-intercept form, y = mx + b, we can start by solving for the slope. The slope compares the vertical change (the rise) to the horizontal change (the run) when moving from one fixed point to another along the line.

The slope formula is:

m = (y2 - y1)/(x2 - x1)

We need to select 2 pairs of points from your given table.

Let (x1, y1) = (1, 8)

(x2, y2) = (2, 10)

Plug these values into the formula:

m = (y2 - y1)/(x2 - x1)

m = (10 — 8)/(2 — 1)

m = 2/1 or 2.

Therefore, the slope of the line is 2.

Next, we need to figure out what the y-intercept of the line is. The y-intercept is the point where the line crosses the y-axis. The y-intercept is also the value of y when x = 0.

Looking at your given table, you have an ordered pair, (0, 6) — this is the y-intercept. The y-coordinate (6) is the value of “b” in the slope-intercept form, y = mx + b.

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3 years ago
What is the slope of a line with the equation (y + 3) = 5(x - 2)?
Aneli [31]

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5 0
4 years ago
What is the solution to the system of equations
Gnesinka [82]
Answer: x=-4, y=-7

Problem:
4x-6y = 26
5x-4y=8

You can use substitution or elimination to solve the problem. I’m going to use elimination.

Multiply by -2 => -8x+12y = -52
Multiply by 3 => 15x- 12y = 24

Add those equations together:
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x=-4
Plug that into one of the original equations to get y.

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Check for the other equation to see if this is true. Which in this case it is. So that’s your answer. x=-4, y=-7
5 0
3 years ago
Read 2 more answers
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