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koban [17]
4 years ago
12

line segment segment ab has a slope of start fraction five over four end fraction and contains point a(8, −7). what is the y-coo

rdinate of point q(3, y) if segment qa is perpendicular to line segment segment ab question mark y=-2 y=-3 y=1 y=3
Mathematics
1 answer:
Temka [501]4 years ago
5 0
For perpendicular lines, the product of their slopes is -1.
Let the slope of the second line be m, then 5/4 m = -1
m = -4/5
The slope of a line passing through two given points is given by m = (y2 - y1)/(x2 - x1)
-4/5 = (y - (-7))/(3 - 8) = (y + 7)/-5
4 = y + 7
y = 4 - 7 = -3
y = -3
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Graph and write solution:<br><br> 2x + 1 = y<br><br> -4x + 6y = -10
PIT_PIT [208]

The graph is shown in figure below

The Solution Set is (-2,-3)

Step-by-step explanation:

We need to graph the equations and writ the solution.

For graphing we need to find the values of x and y.

For that, we need to solve the given equations:

2x + 1 = y\\-4x + 6y = -10

Let:

2x + 1 = y\,\,\,eq(1)\\-4x + 6y = -10\,\,\,eq(2)

We can solve this by using Substitution Method.

Putting value of y of eq(1) into eq(2) and finding value of x:

2x + 1 = y\,\,\,eq(1)\\-4x+6(2x+1)=-10\\-4x+12x+6=-10\\8x+6=-10\\8x=-10-6\\8x=-16\\x=-16/8\\x=-2

So, value of x = -2

Now put value of x in eq(1) to find value of y:

2x + 1 = y\\2(-2)+1=y\\-4+1=y\\y=-3

So, value of y = -3

Plotting on graph: x=-2 and y = -3

The graph is shown in figure below

The Solution Set is (-2,-3)

Keywords: graph the equations

Learn more about Graphing Equations at:

  • brainly.com/question/10541435
  • brainly.com/question/3126500
  • brainly.com/question/2334270

#learnwithBrainly

4 0
3 years ago
Round 44.057 to the nearest hundredth.
AlekseyPX

Answer:

44.057 to nearest hundredth

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5 0
3 years ago
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musickatia [10]

Answer:

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Step-by-step explanation:

F(x)=x2

So, the graph of g(x) will shift -2 units in y axis

hence,

g(x)= -x2-2

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Answer:

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6 0
3 years ago
8-4x+5y<br> When X=-2 y=6
vovikov84 [41]

Answer:

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Step-by-step explanation:

=8-4x+5y

=8+8+30

=46

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3 years ago
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