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sertanlavr [38]
2 years ago
11

Sail with the equation by completing the square x^2+8x=-3

Mathematics
1 answer:
maxonik [38]2 years ago
5 0

Answer:

The solutions are x=-4(+/-)\sqrt{13}

Step-by-step explanation:

we have

x^{2} +8x=-3

Complete the square. Remember to balance the equation by adding the same constants to each side

x^{2} +8x+16=-3+16

x^{2} +8x+16=13

Rewrite as perfect squares

(x+4)^{2}=13

square root both sides

x+4=(+/-)\sqrt{13}

x=-4(+/-)\sqrt{13}

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Evaluate the expression when x = 2, y = 3, and z = -4<br> 3X-2
leva [86]

Answer:4

Step-by-step explanation:

X= 2

3x= 3×2

3×2=6

6-2=4

4 0
3 years ago
Classify ∠1 and ∠2 using all names that apply
Vinvika [58]

Step-by-step explanation:

complementry

since the angle 1 and 2 both measures 90⁰

6 0
2 years ago
Read 2 more answers
Riley and Justin shared a cash prize in the ratio 2:5.justin received 27$ more than Riley.how much money did Riley get
anastassius [24]

Answer:

$18

Step-by-step explanation:

1. Subtract 5-2 to get three

2. Divide 27 by three to get 9. Now you know how many $ is in one sectio

3. Multiply 9 by 2

4. Riley got $18

4 0
3 years ago
Finding Side Lengths
zheka24 [161]

Answer:

  • x = 2.5
  • y = 5

Step-by-step explanation:

As the two figure are the image and pre-image of a dilation.

Considering the left sided triangle is original and right sided triangle ( smaller one) is the image.

As one of the sides of the left triangle (original figure) is 4 in. And the corresponding length of the side on the right triangle (image of the figure) is 2 in.

It means the image of the side (2 in) is obtained when the side (4 in) of the original object is dilated by a scale factor of 1/2. In other words, the side of the image (2 in) is obtained multiplying the side (4 in) of original figure by 1/2. i.e. 4/2 = 2 in

Lets determine the missing side of the right side triangle by the same rule.

As the original object has one of the sides is 5 in and the corresponding side of the image has x in. As the original figure is dilated by a scale factor of 1/2. so the missing side of x will be: x = 5/2 = 2.5

So, the value of x will be 2.5

Similarly, the original object has one of the sides with length (y + 1 in). As the As the original figure is dilated by a scale factor of 1/2. As the corresponding length of the side of the image triangle is 3 in.

so

y + 1 = 2(3)         ∵ 3 in (image side) is multiplied by 2

y + 1 = 6

y = 6 - 1

y = 5

So, the value of y = 5

Therefore,

  • x = 2.5
  • y = 5
6 0
3 years ago
Alyssa's team won 5 out of every 7 games this season. If the team played 28 games this season, how many games did they win?
sladkih [1.3K]

Answer:

Alyssa's team won 20 games.

Step-by-step explanation:

We can introduce a variable that represents how many games Alyssa's team won.

Let x<em> </em>represent how many games Alyssa's team won.

We can now create a expression, we know that her team won 5 out of 7 games which would be equivalent to the fraction 5/7. We also know her team has played 28 games and five sevenths (5/7) of those they won.

This would give us the expression 5/7 = x/28.

We need to do this because 5/7 is equivalent to x the numbers of games they won over 28 the number of games they played.

Solving for  5/7 = x/28 we have:

5/7 = x/28  

We need to isolate x on the right side to do so we can multiply both sides by 28.

5/7 * 28 = x/28*28     simplifying

20 = x.

Therefore the number of games Alyssa's team won is 20 games.

8 0
3 years ago
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