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Molodets [167]
2 years ago
5

align="absmiddle" class="latex-formula">
Mathematics
1 answer:
eimsori [14]2 years ago
4 0

The solutions to the quadratic equation in the exact form are x = -1/2 or x = -5

<h3>What are quadratic equations?</h3>

Quadratic equations are second-order polynomial equations and they have the form y = ax^2 + bx + c or y = a(x - h)^2 + k

<h3>How to determine the solution to the quadratic equation?</h3>

A quadratic equations can be split to several equations and it can be solved as a whole

In this case, the quadratic equation is given as

5x^2 + 11x + 2 = 0

Using the form of the quadratic equation y = ax^2 + bx + c, we have

a = 5, b = 11 and c = 2

The quadratic equation can be solved using the following formula

x = (-b ± √(b^2 - 4ac))/2a

Substitute the known values of a, b and c in the above equation

x = (-11 ± √(11^2 - 4 * 5 * 2))/2*2

Evaluate the exponent

x = (-11 ± √(121 - 4 * 5 * 2))/2*2

Evaluate the products

x = (-11 ± √(121 - 40))/4

Evaluate the sum

x = (-11 ± √(81))/4

Take the square root of 81

x = (-11 ± 9)/4

Expand

x = 1/4 * (-11 + 9) or x = 1/4 * (-11 - 9)

Evaluate the difference

x = 1/4 * -2 or x = 1/4 * -20

Evaluate the product

x = -1/2 or x = -5

Hence, the solutions to the quadratic equation in the exact form are x = -1/2 or x = -5

Read more about quadratic equations at

brainly.com/question/1214333

#SPJ1

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What is 20% of 5 Please Help
Softa [21]
Hello there!

Start by asking yourself:"How to find the percentage of a number?"

We need to use the equation y = P% * x

In this case, the y is 20%

Y = P% * X

Y = 20% * X

Now we need to convert the percentage to decimal

P = 20%/100

P = 0.2

Then go back to the equation

Y= 0.2 * 5

Y = 1

The answer is 1

I hope the steps are easy to understand and hopefully the answer helps!

As always, I'm glad to help you today!
4 0
3 years ago
Use the coordinate plane to help you identify the length of each leg then use the Pythagorean Theorem to find the length of CD
Nitella [24]

Answer:

CE= 9cm, DE= 5cm, CD= 10.2956cm

Step-by-step explanation:

Let E be the point of the other triangle.

Using Pythagoras' Theorem,

CD= square root symbol (CE^2 + DE^2)

= square root symbol (9^2+5^2)

= 10.2956cm (6 sf)

7 0
2 years ago
Determine which graph has the line of best fit drawn and explain why.
Nina [5.8K]

Answer:

graph c

Step-by-step explanation:

because it is a more perfect line through the dots then the others, thats how you can always tell

5 0
2 years ago
Find the coordinates of the center of the following circle.<br><br> (x - 3)² + (y - 7)² = 49
Zepler [3.9K]

When you write the equation of a circle in the form

(x-x_0)^2+(y-y_0)^2=r^2

Then the center of the circle has coordinates (x_0, y_0) and the radius is r

So, in your case, the center of the circle is (3,7)

7 0
3 years ago
Choose the equation below whose axis of symmetry is x = 2.
soldi70 [24.7K]

Answer:

y= x^2 - 4x + 2

I did the test I got it right!

Hope it helps.

5 0
3 years ago
Read 2 more answers
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