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Sliva [168]
4 years ago
10

What is the midpoint of the line segment with endpoints (-1,-6) and (-3,4)

Mathematics
1 answer:
aliina [53]4 years ago
8 0

Answer:

The final answer for the midpoint:

m = (-2, -1)

Step-by-step explanation:

-Use the midpoint formula in order to find the midpoint:

m = (\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2})

-Next, use both points ( -1, -6) and (-3, 4) for the equation:

m = (\frac{-1-3}{2}, \frac{-6+4} {2})

-Then, you solve:

m = (\frac{-1-3}{2}, \frac{-6+4} {2})

m = (\frac{-4}{2}, \frac{-2} {2})

m = (-2,-1)

So, the final answer for the midpoint is m = (-2, -1).

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Estimate to find the quotient. 342/8=
djverab [1.8K]

Answer:

42 3/4 I think

Step-by-step explanation:

because if you simplified 342/8 it will be 171/4. so if you simplified that it'll get you to 42 3/4

3 0
3 years ago
PLEASE HELP ME WHOEVER HELPS I WILL MARK BRAINLEST :)
julsineya [31]

Remember the shortcut way for graphing quadratic equations

  • A quadratic function has graph as parabola
  • Hence on both sides of vertex the parabola is symmetric and axis of symmetry is vertex x values .
  • y on both sides for -x and +x is same

#1

  • y=2(x-3)²-1

Vertex

  • (h,k)=(3,-1)

As a is positive parabola facing upwards

Find y for same x distance from vertex

I took 3-1=2 and 3+1=4

  • f(2)=2(2-3)²-1=2(-1)²-1=2-1=1
  • f(4)=2(4-3)²-1=1

Now plot vertex and these two points (2,1) and (4,1) on graph then draw a parabola by freehand

#2

  • y=(x-2)(x+4)
  • y=x²+4x-2x-8
  • y=x²+2x-8

Convert to vertex form

  • y=x²+2x+1-9
  • y=(x+1)²-9

Vertex at (-1,-9)

Same take two equidistant x values

Let's take -1-1=-2 and -1+1 =0

  • f(-2)=(-2+1)²-9=1-9=-8
  • f(0)=(1)²-9=-8

Put (-1,-9),(-2,-8),(0,-8) on graph and draw a freehand parabola

#3.

Yes it can be verified by finding the coordinate theoretically on putting them on function then can be verified through putting them on graph whether they matches or not

8 0
2 years ago
Find the ordered pair of both 4x-3y=6 and 6x + y =42
WINSTONCH [101]

Answer:

(-60/11,111/11)

Step-by-step explanation:

Solving simultaneously, 4x - 3y=6

-3(6x + y=42)

then it becomes, 4x - 3y=6

-18x - 3y= 126 subtracting the two equations,

22x= -120, x= -60/11 and y = 111/11

7 0
3 years ago
What needs to be corrected in this construction of a line parallel to line AB passing through C?
UNO [17]

The option that needs to be corrected in this construction of a line parallel to line AB passing through C is C: the second arc should be centered at C.

<h3>Why should the second arc be centered at C?</h3>

The second arc should be centered at C because as it crosses passing through Line C, it is seen that it was not touching or intersecting AB and so one can say that it is parallel to it.

Looking at the other lines, we will see that they are all touching AB and are not running parallel to it.

Hence, The option that needs to be corrected in this construction of a line parallel to line AB passing through C is C: the second arc should be centered at C.

Learn more about line parallel;

brainly.com/question/1439525

#SPJ1

5 0
2 years ago
32. You plan to purchase items for $4000 and will finance the cost with a fixed installment
Paul [167]

Answer:

Amount of finance charge = $800

Interest rate = 5% per year

Step-by-step explanation:

Given:

Cost of item = $4,000

Per month payment = $100

Number of month = 48 month = 48 /12 = 4 year

Find:

Amount of finance charge

Interest rate

Computtaion:

Total amount pay = 100 x 48

Total amount pay = $4,800

Amount of finance charge = Total amount pay - Cost of item

Amount of finance charge = 4,800 - 4,000

Amount of finance charge = $800

Interest = P x r x T

800 = 4,000 x r x 4

800 = 16,000 x r

Interest rate = 5% per year

7 0
3 years ago
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