If x3 = -27, then what is x?
A) -9
B) -3
C) 3
D) 9

The correct answer is:

C) k = 1/2

Explanation:

We will find the lengths of the horizontal segments of the pre-image and the image, and compare them to find the dilation factor.

For the pre-image, we have a horizontal segment from (2, 5) to (4, 5). This is a distance of 2.

The corresponding segment of the image goes from (2.5, 4) to (3.5, 4). This is a distance 1.

The segment of the image is 1/2 the size of the corresponding segment of the pre-image; this makes the dilation factor 1/2.

To verify, we have another horizontal segment of the pre-image that goes from (3, 2) to (6, 2). This is a distance of 3 units.

The corresponding horizontal segment of the image goes from (3, 2.5) to (4.5, 2.5). This is a distance of 1.5 units.

The distance of the image segment is 1/2 of the distance of the pre-image segment; this means the scale factor is 1/2.

The exactly two answers are correct are a² + 14a + 49 and a² + 26a + 169.

What are trinomials?

The condition for the perfect trinomials is if the coefficient of a² = 1 and If you divide the middle number coefficient by 2 and you square it you get the last term.

For all the options, the coefficient of a² = 1.

a² + 4a + 16.

Coefficient of a = 4.

4/2 = 2

2² = 4, this does not equal the last term so it is not a perfect square trinomial.

a² + 14a + 49.

Coefficient of a = 14.

14/2 = 7

7² = 49, this is equal to the last term so it is a perfect square trinomial.

And the perfect square is (a +7)²

Similarly, if you test the last option.

a² + 26a + 169.

Coefficient of a = 26.

26/2 = 13

13² = 169, this is equal to the last term so it is a perfect square trinomial.

And the perfect square is (a +13)²

The only two options are: a² + 14a + 49 and a² + 26a + 169. Other options do not pass this test.

To know more about trinomials follow

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Answer: yes choice B

Step-by-step explanation:

g(x) has -5 slope

y - g(-1) = -5(x +1)

y -5 = -5x -5

y = -5x

f(x) = xx/2 +2

Xx/2 +2= -5x

Xx/2 +5x +2 = 0

Xx + 10x +4 =0

Solutions: -5 + root(100 -16)/2

And -5 - root(84)/2

Both intersection look like in negative x values

Sides AC and CB are identical, which mean the two bottom angles are also identical.

Angle B (2x) would equal 50.

The three inside angles of a triangle  equal 180, so the top angle would equal 180 - 50-50 = 80.

Now set the equation for angle C to equal 80 and solve for Y.

5y+10 = 80

Subtract 10 from each side:

5y = 70

Divide both sides by 5:

y = 70/5

y = 14

Answer:

y = 8  and  x = 25

Step-by-step explanation:

Look at pic below.

Hope this helps! :)

Hey there! :)

Answer:

First part: 2 miles.

Second part: 45 minutes

Third part: 8 mph.

Step-by-step explanation:

We can divide this question into 3 parts.

Begin by solving for the distance traveled after 15 minutes by creating a ratio:

Cross multiply:

20 · 15 = 150 · x

300 = 150x

300/150 = 150x/150

x = 2 miles.

2nd part: How long it took her to ride 6 miles.

Set up another ratio similar to the one used before:

Cross multiply:

20 · x = 6 · 150

20x = 900

20x/20 = 900/20

x = 45 minutes.

3rd part:

For this part, we will need to convert from minutes to hours.

Therefore, her speed is 8 mph.

Answer:

Option 4th is correct

Step-by-step explanation:

GCF(Greatest common factor) is the largest number that divide the polynomial.

Given the statement:

the quantity 10 times x to the 6th power times y to the third power plus 20 times x to the third power times y to the 2nd power all over 5 times x to the third power times y

⇒

To simplify this expression:

GCF of and is,

then;

⇒

Using distributive property:

⇒

Therefore, the simplified expression is,