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irinina [24]
2 years ago
5

Use the elimination method to solve the system of equations.Choose the correct ordered pair. -x + y -2 , 2x -3y = 4​

Mathematics
1 answer:
AnnZ [28]2 years ago
6 0

Answer:

To use the elimination method one coefficient of either x or y must be the same number with opposite signs, so the ordered pair is (-10, -8)

Step-by-step explanation:

2(-x+y=2) Make one of the coefficients equal, with opposite signs.

2x-3y=4  Combine equations.

-y=8 Solve, y=-8

Then find x, -x-8=2

-x=10, so x= -10

(-10, -8) is your answer.

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Trapezoid ABCD has vertices A(1,6) B(-2,6) C(-10,-10) and D(20,-10). Find the measure of ABCD’s midsegment to the nearest tenth
Elina [12.6K]

Answer:

16.5 units

Step-by-step explanation:

The midsegment is the distance between the midpoints of the nonparallel sides of the trapezoid.

The trapezoid ABCD has vertices A(1,6) B(-2,6) C(-10,-10) and D(20,-10).

We want to find the midsegment of ABCD to the nearest tenth.

The midpoint of BC is;

( \frac{ - 2 +  - 10}{2} , \frac{6 +  - 10}{2} ) = ( - 6, - 2)

The midpoint of AD is :

( \frac{1 +  20}{2} , \frac{6 +  - 10}{2} ) = ( 10.5, - 2)

The length of the midsegment is the distance from (-6,2) to (10.5,2)

=   |10 .5 -  - 6|  = 16.5

4 0
3 years ago
(a) Draw in radii OA, OB, OC and OD. Then, explain why OAB must
lions [1.4K]

Answer:

In the given circle, segments OA, OB, OC and OD are radius of the circle.

In other words, all those segments are congruent.

From that we can deduct that triangles OAB and OCD are isosceles triangles, because all segments are equal. That makes those triangles congruent, because they have the same sides.

From the congruence we can deduct that all corresponding internal angles inside those triangles are actually congruent, that's why angle OAB and ODC must be congruent.

Also, angles DOC and BOA are also congruent, which means their subtended arcs are also congruent, because they have the same radius, so mAB = mCD.

7 0
3 years ago
Question in picture. Thanks!
KonstantinChe [14]
2x^2+4x+2
Carry the 2 over to the 3 behind the 4 and multiply so 2times2 is 4. So i new equation is.
X^2+4x+4
Now you have to find the factors of 4 which is 1,4 and 2,2
So now you have to see which one adds up to 4 so 1+4 is 5 so cross that out and 2+2=4.
So the two number is 2 and 2 now you have to bring down the x^2 and the signs.
(X+2) (X+2) and thats your answer
8 0
3 years ago
What is the slope if the equation y=5/4x-7/4<br> -7<br> -7/4<br> 5/4<br> 5
Sunny_sXe [5.5K]
5/4
The slope is answers the x
8 0
3 years ago
The number 85 is decreased to 83. What is the percentage by which the
Readme [11.4K]

Answer:

~ 2.3%

Step-by-step explanation:

A percentage is a amount divided by the total.

2/85 (2 is the amount decreased) 0.02352941176470588235294117647059‬

That makes around 0.023.

That multiplied by 100 is 2.3 and that makes the percentage.

So yeah.

5 0
3 years ago
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