Use the discriminant to determine the number and type of solutions to the quadratic equation. Show all work for full credit! 2+ 8= 13

Answers

Answer 1

Answer:

Answer:

The equation has two different real solutions

Step-by-step explanation:

The discriminant of the quadratic equation ax² + bx + c = 0 is Δ = b² - 4ac, it used to find the number and type of solutions

Δ > 0, means two different real solutions
Δ = 0, means one real solution
Δ < 0, means no real solutions

∵ The equation is a² + 8a = 13

- Put it in the form ax² + bx + c = 0

- Subtract 13 from both sides

∴ a² + 8a - 13 = 0

∴ The coefficient of a² = 1, the coefficient of a = 8 and the

numerical term = -13

∵ Δ = (coefficient of a)² - 4(coefficient of a²)(numerical term)

∴ Δ = (8)² - 4(1)(-13)

∴ Δ = 64 + 52

∴ Δ = 116

∵ Δ > 0

∴ The equation has two different real solutions

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While the earth's orbit (path) about the sun is slightly elliptical, itcan be approximated by a circle with a radius of 93,000,000 miles.
a) How far does the earth travel in one orbit about the
sun? That is, what is the approximate circumference of the earth's path?
b) Approximately how fast is the earth traveling in its orbit in space? Calculate
your answer in miles per hour.

Answers

a. The circumference should be 186000000π mile

b. The speed of the earth should be 7750000π miles per hour.

Calculation of the circumference & speed of the earth:

Since the radius is 93000000 miles

So, here the circumference is

= 2πr

= 2π(93000000) miles

= 186000000π miles

b) Now the speed is

speed = distance ÷ time

Here the time should be 24 hours

So,

Speed = 186000000π ÷ 24

= 7750000π miles per hour

Learn more about speed here: brainly.com/question/24394014

The circumference= 186000000π miles and the speed or the earth is 7750000π miles per hour.

Step-by-step explanation:

Radius (r) = 93000000 miles

a) circumference= 2πr

= 2π(93000000) miles

= 186000000π miles

b) speed = distance / time

Here distance is the circumference and time is 24hrs because if the earth completes 1 revolution around the sun in 24hrs.

Speed = 186000000π/24

= 7750000π miles per hour

Can you guys help me with this math please??
I will give Brainliest!!

Answers

Answer:

The answer is 36 x⁴ y⁴

Step-by-step explanation:

Two angles are supplementary. The measure of the larger angle is 18 less than twice the measure of the smaller angle. Find the measure of the angles. Show your work.

Answers

Answer:

Smaller angle = 66 degrees

Larger angle = 114 degrees

Step-by-step explanation:

Smaller angle: x

Larger angle: 2x - 18

x + 2x - 18 = 180 degrees

3x = 180 + 18

x = 198/3

x = 66

180 - 66 = 114

Final answer:

The measure of the smaller angle is 66 degrees and the measure of the larger angle is 114 degrees.

Explanation:

Let's represent the measure of the smaller angle as x. According to the problem, the larger angle is 18 less than twice the measure of the smaller angle, so we can represent the larger angle as 2x - 18.

Since the two angles are supplementary, their sum is 180 degrees:

x + (2x - 18) = 180

Solving this equation, we get:

3x - 18 = 180

3x = 198

x = 66

Therefore, the measure of the smaller angle is 66 degrees and the measure of the larger angle is 2(66) - 18 = 114 degrees.

Learn more about Angles here:

brainly.com/question/33354646

#SPJ11

4. The diagram in this figure illustrates a _______ angle. A. right
B. supplementary
C. reflex
D. curved

Answers

Answer:

C) The diagram in this figure illustrates a reflex angle

Step-by-step explanation:

Given : A diagram with an angle.

To find : The diagram in this figure illustrates a _______ angle.

Solution : We can see from figure it is greater than 180 degree and less than 360 degree.

By the definition of reflex angle : The reflex angle is the larger angle. It is more than 180° but less than 360°.

Therefore, C) The diagram in this figure illustrates a reflex angle.

It would be C. because it is more than 180 but less than 360

What is the difference between comparing two things and contrasting two things?

Answers

when you compare 2 things you see whats alike but when you contrast 2 things your seeing whats diffrent

Answer:

When you compare two things you see whats alike but when you contrast two things your seeing whats different.

The base of the parallelogram, b, can be found by dividing the area by the height.If the area of the parallelogram is represented by 6x2 + x + 3 and the height is 3x, which represents b, the length of the base?

Answers

The area of a parallelogram is:
A = b * h
Where,
b: base
h: height
Clearing the base we have:
b = A / h
Substituting values we have:
b = (6x2 + x + 3) / 3x
Rewriting we have:
b = 2x + 1 / x + 1/3
Answer:
the length of the base is:
b = 2x + 1 / x + 1/3

Answer:

b = $2x+(1)/(3)+(1)/(x)$