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Sergeu [11.5K]
3 years ago
11

Solve the following system of equations by graphing. - 4x + 3y -12 - 2x + 3y -18

Mathematics
1 answer:
My name is Ann [436]3 years ago
6 0

Answer:

The solution of the graph is at (-3,-8).

Step-by-step explanation:

The given equations are :

-4x+3y=-12

and

-2x+3y=-18

These are the system of equations in two variables.

The graphs for the equations are :

The solution of the graph is at (-3,-8).

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Geometry Question Please Help!!!!
lora16 [44]
The equation of a parabola is given by f(x)=a(x-h)^{2}+k where (h,k) is the vertex.

We have the vertex is (-3,-2) so we have h=-3 and k=-2

Substituting -3 and -2 into the f(x)
f(x)=a(x--3)^{2}+(-2)
f(x)=a(x+3)^{2}-2

Hence, the correct answer is option D
5 0
3 years ago
2. Which diagram shows a point P an equal distance from points A, B, and C?H
amm1812

Answer:

The correct option is (a).

Step-by-step explanation:

The vertices are equidistant from the circumcenter.

Circumcenter of a triangle is a point where the perpendicular bisectors are intersection each other.

In figure (a) the point P is the intersection point of all perpendicular bisector, therefore point P is the circumcenter of triangle ABC and the point P is equidistant from A,B and C.

Therefore option (a) is correct.

In figure (b) the point P is the intersection point of all perpendicular, therefore point P is not the circumcenter of triangle ABC.

Therefore option (b) is incorrect.

In figure (c) the point P is the intersection point of all bisectors, therefore point P is not the circumcenter of triangle ABC.

Therefore option (c) is incorrect.

In figure (d) the point P is the intersection point of all medians, therefore point P is not the circumcenter of triangle ABC.

Therefore option (d) is incorrect.

4 0
3 years ago
Read 2 more answers
1)The following function defines a recursive sequence:
Helen [10]
1) <span>-3, 6, -9, 12...
f(2) = -2*6 - (-3) = -9
f(3) = -2*-9 - (6) = 12

2) </span><span>2) Choose the slope-intercept equation of the line that passes through the point (-2, 2) and is parallel to y = 4x + 7.
Slope equals 4, since it's parallel. Substituting...
2 = 4*-2 + b          Add 8 to both sides
10 = b 
y= 4x + 10

3)Question is poorly transcribed, but assuming the points are (10, 60) and (16, 96):
 Average rate of change = (96-60) / (16-10) = 36 / 6 = 6m/s. 

4) A slope of zero means that y does not change with x. This means y is the same for any x value, so y is a horizontal line.
The third graph, the one where y= -6, is the correct answer. 

</span>
6 0
4 years ago
What is 10.5 in Scientific Notation
erastova [34]
<span>10.5 in Scientific Notation
= 1.05 x 10^-1
------------</span>
4 0
3 years ago
Read 2 more answers
Helpppppp helpppppppp plssssssssss
nasty-shy [4]

I think the answer is the first one and the last one .

4 0
3 years ago
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