Complete the following products.

1. (x - y) (x² + xy + y²)
= (__) x² + (__) xy + (__) y²
= __ - x²y + x²y - xy² + __ - y³
= x³ - __​

Answer:

15

Step-by-step explanation:

15 because 15 divided by 3 equals 5 + 6 equals 11 and 11 minus 7 equals 4

The answer is -9

I dont know the step-by-step used a calculator

Answer:

y = (-zvx)/w

........

Answer:

y= [tex]\frac{5}{6} x[/tex] + 4

Step-by-step explanation:

Pick two points: (-6,-10) and (0,4)

Then solve for m (slope): I picked (0,4)

[tex]m= \frac{4-(-1)}{0-(-6)} =\frac{5}{6}[/tex]

Then put in slope intercept form:

4= [tex]\frac{5}{6} (0)[/tex] + b

4=b

Then put in final form:

y= [tex]\frac{5}{6} x[/tex] + 4

Hope this helps!

Answer:

y=5/6x+4

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

If it is possible to draw any vertical line (a line of constant x) which crosses the graph of the relation more than once, then the relation is not a function. If more than one intersection point exists, then the intersections correspond to multiple values of y for a single value of x (one-to-many).

Step-by-step explanation:

Answer:

c 2*3

Step-by-step explanation:

I think its correct

The midpoint of a line divides the line into equal segments.

See below for the proof of [tex]\mathbf{MN = \frac{1}{2}AC}[/tex]

The given parameters are:

[tex]\mathbf{A = (-5,-4)}[/tex]

[tex]\mathbf{B = (3,-2)}[/tex]

[tex]\mathbf{C = (-1,6)}[/tex]

The coordinates of M (midpoint of AB) are calculated as follows:

[tex]\mathbf{M = \frac{1}{2}(x_1 + x_2, y_1+y_2)}[/tex]

So, we have:

[tex]\mathbf{M = \frac{1}{2}(-5 + 3, -4-2)}[/tex]

[tex]\mathbf{M = \frac{1}{2}(-2, -6)}[/tex]

[tex]\mathbf{M = (-1, -3)}[/tex]

The coordinates of N (midpoint of BC) are calculated as follows:

[tex]\mathbf{N = \frac{1}{2}(x_1 + x_2, y_1+y_2)}[/tex]

So, we have:

[tex]\mathbf{N = \frac{1}{2}(3 - 1, -2 +6)}[/tex]

[tex]\mathbf{N = \frac{1}{2}(2, 4)}[/tex]

[tex]\mathbf{N = (1, 2)}[/tex]

Distance MN is:

[tex]\mathbf{MN = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}}[/tex]

So, we have:

[tex]\mathbf{MN = \sqrt{(-1 - 1)^2 + (-3 - 2)^2}}[/tex]

[tex]\mathbf{MN = \sqrt{29}}[/tex]

Distance AC is calculated as follows:

[tex]\mathbf{AC= \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}}[/tex]

So, we have:

[tex]\mathbf{AC= \sqrt{(-5 - -1)^2 + (-4 - 6)^2}}[/tex]

[tex]\mathbf{AC= \sqrt{116}}[/tex]

Split

[tex]\mathbf{AC= \sqrt{4 \times 29}}[/tex]

Take positive square root of 4

[tex]\mathbf{AC= 2\sqrt{29}}[/tex]

To prove that:

[tex]\mathbf{MN = \frac{1}{2}AC}[/tex]

We have:

[tex]\mathbf{\sqrt{29} = \frac{1}{2} \times 2\sqrt{29}}[/tex]

[tex]\mathbf{\sqrt{29} = \sqrt{29}}[/tex]

The above equation is true.

Hence. [tex]\mathbf{MN = \frac{1}{2}AC}[/tex]

Read more about midpoints and distance at:

https://brainly.com/question/11231122

Answer:

b.d-6 that's the correct answer

Answer:

it is a

Step-by-step explanation:

Answer:

B. 1 1/7

Step-by-step explanation:

Pls, choose me as brainliest!

Answer:

4

Step-by-step explanation:

factor the numerator and denominator and cancel the common factors

Answer:

1/6

Step-by-step explanation:

2/3 of the class has a dog, and 1/4 of the class has a cat. This means that some people will have both a cat and a dog.

You have to find the fraction of students who have both, so you have to multiply 2/3 and 1/4, 2*1 = 2, and 3*4 = 12, so the fraction is 2/12.

2/12 can be simplified to 1/6.

So, the amount of students in the class that have both a cat and a dog are 1/6.

Answer:

The answer is 1/6.

Answer:

cba

Step-by-step explanation:

yes correct answer x yimes h yomes z

Answer:

BP

Step-by-step explanation:

the letters are congruent in order, so the last 2 letters of both sides are congruent

Answer:

She'd have $45

Step-by-step explanation:

4% of 75 is 3 dollars.

So 3 dollars per year and after 10 years the account lost $30 to the simple interest.

3*10(AmountOfYears)=30

So 75-30=45

$45 would be left in the savings account.

Using the principle of proportional relationship, the 42 L of gas can go for a further 165 km

Consumption rate = 8L for 100 km

Km per Litre :

8L = 100km

1 L = m

8m = 100

m = (100 ÷ 8)

= 12.5 kilometer per Litre

Number of kilometers for 42 L

12.5 km = 1 L

m = 42 L

Cross multiply

m = 12.5 × 42

m = 525 km

The difference in the distance = 525 - 360 = 165 km

Therefore, the gas can go for a further 165 km

Learn more : https://brainly.com/question/18112348

Answer:

x = 114°

Step-by-step explanation:

x + (x - 48) = 180

2x = 228

x = 114

114 - 48 = 66

Answer:

I = $ 0.74

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 4%/100 = 0.04 per year,

putting time into years for simplicity,

6 months ÷ 12 months/year = 0.5 years,

then, solving our equation

I = 37 × 0.04 × 0.5 = 0.74

I = $ 0.74

The simple interest accumulated

on a principal of $ 37.00

at a rate of 4% per year

for 0.5 years (6 months) is $ 0.74.

BRAINLIEST PLEASE

Answer:

102

Step-by-step explanation:

Answer:

Fairly easy just 180-102-30= 48 degrees So since you know the third angle within that triangle just take 180 - 48 which gives you 132 degrees. 132 is the angle FGH.

Step-by-step explanation:

180-  102 - 30= 48 degrees

180 - 48 = 132 degrees

Answer:

No

Step-by-step explanation:

They are similar

Answer:

Congruent triangles Two or more triangles that have the same size and shape are called congruent triangles. The four triangles are congruent with each other regardless whether they are rotated or flipped. The congruence of two objects is often represented using the symbol

Step-by-step explanation:

Answer:

19.66

Step-by-step explanation:

9.83 / 0.5

19.66

Sorry if it is not correct but I think that this is the corrcet answer.

(8 + m)4 + 3

This is ur answer have a good day

Answer:

Step-by-step explanation:

which triangles?

i see no triangles

try again bro

Answer:

.

Step-by-step explanation:

sorry i can't help

Answer:

4y²

Step-by-step explanation:

(2y)² = 2²*y² = 2*2*y² = 4y²

Ans wer

i dont know hmmmmmmmmmmmmmmmmmmmmmmmmmm

Step-by-step explanation:

[tex]( \sqrt{5} + 1 {)}^{2} \\ calculate \\ \\ 5 + 2 \sqrt{5} + 1 \ \\ \\ = 6 + 2 \sqrt{5} \\ \\ in \: \: alternate \: \: form \: \\ \\ 10.47214 \\ \\ hope \: it \: \: helps \\ \\ [/tex]

Step-by-step explanation:

Here is your answer . The logic I have shared above to solve this equation