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GuDViN [60]
3 years ago
11

Which ordered pair represents the solution to the system of equations? {−5x+7y=−196x−2y=10

Mathematics
1 answer:
k0ka [10]3 years ago
8 0
Answer:
x = 1
y = -2

Explanation:
First, solve for x by subtracting 7y from both sides of the first equation and then divide both sides by -5.

-5x + 7y = -19
-5x + 7y - 7y = -19 - 7y
-5x = -19 - 7y
-5x/ -5 = -19 - 7y/ -5
x = -19 - 7y/ -5

Next, substitute the value of x into the second equation and solve.

6 - (-19 - 7y)/ 5 - 2y = 10
- 6(-19 - 7y)/ 5 - 2y = 10

Then, solve for y

- 6(-19 - 7y)/ 5 - 2y = 10
-6(-19 - 7y) - 10y = 50
114 + 42y - 10y = 50
144 + 32y = 50
32y = 50 - 144
32y = -64
32y/ 32 = -64/ 32
y = -2

Finally, substitute the value of y into the x value we found earlier and solve

x = - 19 - 7y/ 5
x = - 19 - 7 • -2/ 5
x = 1
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the wheel on a bike have a diameter of 26 inches. How many full revolutions will the wheels need to make to travel 100 feet?
Rufina [12.5K]

Answer:

At least 198 chicken nuggets that measure quarter of a foot

Step-by-step explanation:

i went to mcdonalds got a s#!t ton of nuggs went to a road that no-body has driven in like 10 years and layed out 200 nuggets measured with a ruler 102 feet then drove my bike over themwith a camera recording in slow-mo looked at the tape and saw it was 32 revolutuions your welcome

5 0
3 years ago
What constant do you need to add to each quadratic to complete the square? 1. x2 - 4x = 0 4 2. x2 - 8x = 6 9 3. 3x2 + 18x = 24 1
Radda [10]
1) You must add 4 to each side to complete the square.
2) You must add 16 to each side to complete the square.
3) You must add 27 to each side to complete the square.

Explanation:
1) x²-4x=0
To find the number that we add to both sides, we look at b, the cofficient of x.  It is -4. We divide it by 2 and square it; -4/2 = -2; (-2)² = 4.  This is the value that we add to both sides.

2) x²-8x=6
-8/2 = -4; (-4)²=16
We add 16 to each side to complete the square.

3) 3x²+18x=24
First we can factor a 3 out of the left side:
3(x²+6x) = 24
Our b value is now 6.  6/2 = 3; 3²=9.  The 9 would, however, go in the parentheses, so it would be multiplied by 3, which makes 27; this means we would add 27 to both sides.
6 0
2 years ago
Does anybody know this?Find the area of the regular polygon
sweet [91]

Answer:

<h2>2,268 square units</h2>

Step-by-step explanation:

Step 1

Find the area of 1 Triangle

To find this, we will use this formula:

A=\frac{1}{2} *B*H

Let's use the formula!

A=\frac{1}{2} *14*27\\=\frac{1}{2}* 378\\=189

<em>The area of 1 triangle is 189 square units</em>

<em></em>

Step 2

Find the area of the whole intire shape by multiplying the area of 1 triangle with the amount of sides.

There are 12 sides, so let's multiply 189 by 12

189x12=2268

<h2>Hence, the area of the regular polygon is 2,268 square units</h2>
4 0
2 years ago
Students who attend Anytown College pay either in-state or out-of-state tuition, depending on where they reside. The amount, I,
notsponge [240]

Answer:

The correct answer is 0.1368

Step-by-step explanation:

Got it right on Edge assignment

4 0
2 years ago
What is the volume of this triangular pyramid?
Vaselesa [24]

Answer:

1560 cubic inches

Step-by-step explanation:

18x20= 360

360x13= 4680

4680/3=1560

8 0
3 years ago
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