What are the solutions of 4x^2+16x=9

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

Ethan, this is a quadratic equation. We should rewrite this in standard quadratic form: 4x^2 + 16x - 9 = 0. Let's use the quadratic formula approach to solve this:

The coefficients of x are a = 4, b = 16 and c = -9. Thus, the discriminant is

b^2 - 4ac, or 16^2 - 4(4)(-9), or 256 - 144, or 112.

The two solutions are real and are as follows:

-16 ± √112 -16 ± √(16*7) -16 ± 4√7

x = ------------------- = ----------------------- = -----------------

2(4) 8 8

Or, after simplification,

-4 ± √7

x = --------------

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Write 5 as a fraction with 6 in the denominator

Answers

All you do is 5×6= 5×6=30 So it is 30/6

How do I write a mixed number as a fraction 6 5/8

Answers

You multiply the denominator (bottom number) by the whole number and add the numerator (top number) to it so you get 53/8

What is the gcf of 60 and 72?

Answers

Hi. The gcf of 60 and 72 is 12. Hope that helps!

72/12=6
60/12=5

It's 12 because if u divide them both by 12 u get 6 and 5

A company makes concrete paving stones in different sizes. Each stone has a volume of 360 inches and a height of 3 inches. the stones have different lengths and widths. how many different paving stones each with different base and a volume of of 360 cubic inches?

Answers

Answer:

The answer is 6.

Step-by-step explanation:

Given is that the total volume is 360 cubic inches

The height is fixed at 3 inches

So, total area will be = $(360)/(3)=120$ square inches.

Let's assume the minimum size in any dimension to be 3 inches.

Now we have to find possible combinations of numbers greater than 2 that will make 120. So, we have

3 x 40

4 x 30

5 x 24

6 x 20

8 x 15

10 x 12

These have the same answer in reverse order as well. So we will consider these.

Therefore, there are 6 different paving stones with different base.

I got 6 but I'm not 100% sure if its right.

Find the measure of angle x in the figure below: A triangle is shown. At the top vertex of the triangle is a horizontal line aligned to the base of the triangle. The angle formed between the horizontal line and the left edge of the triangle is shown as 52 degrees, the angle formed between the horizontal line and the right edge of the triangle is shown as 59 degrees. The angle at the top vertex of the triangle is labeled as y, and the interior angle on the right is labeled as 63 degrees. The interior angle on the left is labeled as x.

Answers

y = 180 - 52 - 59 = 69 degrees . . . . . . . . (angles on a straight line are supplementary, i.e. add up to 180 degrees)

x = 180 - 69 - 63 = 48 degrees . . . . . . . . (sum of interior angles of a triangle is 180 degrees)

Therefore, m/_x = 48 degrees.

The measure of the interior angle x as shown in the triangle below is 48°

Triangle

A triangle is a polygon with three sides and three angles. Types of triangles are obtuse, scalene, isosceles and equilateral. The sum of all angles in a triangle is 180 degrees.

From the diagram:

y + 52 + 59 = 180° (sum of angles in a straight line)

y = 69°

x + y + 63 = 180° (sum of angles in a triangle)

x + 69 + 63 = 180

x = 48°

The measure of the interior angle x as shown in the triangle below is 48°

Find out more on Triangle at: brainly.com/question/23945265

How do you regroup 43 ones as tens and ones

Answers

4 tens and 3 ones Hope this helps :3

1 ten = 10 ones

1 one = 1 one

40 ÷ 10 = 4

3 ÷ 1 = 3

SO,

to regroup 43 ones as tens and ones we will need

4 tens & 3 ones.

Hope I helped ya!!

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