Factor using the identity:
a3 + b3 = (a + b)(a? - ab + b2)
Z3+8

Answer:

case a) y=1/3x+8

case b) y=-3x+28

Step-by-step explanation:

case a)

parallel lines has the same slope, then, the searched line has the form:

[tex]y=\frac{1}{3} x +b[/tex]

Now, in order to find b, we must use the given point (6,10). By substituying this point into the last equation, one has

[tex]10=\frac{1}{3} 6+b\\10=\frac{6}{3} +b\\10=2+b\\b=10-2\\b=8[/tex]

Then, the line equation is y=1/3x+8

case b)

the slope of a perpendicular line is the "negative reciprocal" of the slope of the original line, that is

[tex]m=-\frac{1}{\frac{1}{3} } \\m=-3[/tex]

Hence, the searched line has the form y=-3x + b. Now, in order to find the y-intercept b, we must use the given point (6,10). Therefore,

[tex]10=-3(6)+b\\10=-18+b\\b=10+18\\b=28[/tex]

Hence, the searced equation is y=-3x+28

Answer:

its 6 units

Step-by-step explanation:

Answer:

Square root of 20

I really hope i'm right sorry in advanced if i'm not

Answer:

Linear

General Formulas and Concepts:

Types of Graphs

Step-by-step explanation:

Whenever the graph is a straight line (either a diagonal or a horizontal, NOT a vertical line), it will always be linear.

Answer:

two sevenths

Step-by-step explanation:

Answer:

x = 33.13 units

Step-by-step explanation:

Let the altitude of the triangle be h units.

[tex] \sin 65 \degree = \frac{h}{31} \\ \\ 0.906307787 = \frac{h}{31} \\ \\ h = 0.906307787 \times 31 \\ \\ h = 28.0955414 \\ \\ \cos \: 32 \degree = \frac{h}{x} \\ \\ 0.8480480962 = \frac{28.0955414}{x} \\ \\ x = \frac{28.0955414}{0.8480480962} \\ \\ x = 33.1296556 \\ \\ x \approx 33.13 \: units[/tex]

Answer:

Step-by-step explanation:

Step 1

Find the length of vertical line segment, lets call it h. Use function cos

Step 2

Find x using another function, sin

Answer:

2x^2-4x+1

Step-by-step explanation:

2(x-1)^2-1

2(x^2-2x+1)

2x^2-4x+2-1

2x^2-4x+1

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[tex]f(x) = 2 ({x - 1})^{2} - 1 [/tex]

[tex]f(x) = 2( {x}^{2} - 2x + 1) - 1[/tex]

[tex]f(x) = 2 {x}^{2} - 4x + 2 - 1 [/tex]

[tex]f(x) = 2 {x}^{2} - 4x + 1 [/tex]

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Answer:

He kept 7/12 of the box.

Step-by-step explanation:

We add and convert both 1/6 and 1/4 because we cant add fractions with unlike denominators.

1/6 = 2/12  | 1/4 = 3/12

then add.

2/12 + 3/12 = 5/12.

we subtract this from a whole, which is 12/12.

12/12 - 5/12 = 7/12

he keeps 7/12 of the box

hope this helped!

140 ÷ 20 = 7

7 × 15 = 105

24

6 1/2

Answer:

Meeeeeeeeeeeeeeeeeeeeeee

Answer:

I believe its ,multiplication

Step-by-step explanation:

because any number you multiply be one is one

mark brainliest if correct please

Answer:

multiplication

Step-by-step explanation:

Cause of Peter griffen

Answer:

y=-6x-8

Step-by-step explanation:

well first of all the line passes through (0,-8) ehich would give you a y-int of -8, to find the slope of y=mx+b you could do rise/run. fi you found a point and counted down to another point it'd be -6, then count the run it'd be 1, -6/1 equals -6

Answer:

theres no image

Step-by-step explanation:

Answer:

This would be 55 degrees because the sum of angles A, B and C = 180 degrees

Answer:

$90

Step-by-step explanation:

70-25 = 45

45x2 = 90

9514 1404 393

Answer:

  160 units^2

Step-by-step explanation:

Each of the four triangular faces has an area of ...

  A = (1/2)bh = (1/2)(8)(6) = 24 . . . square units

The square base has an area of ...

  A = s^2 = 8^2 = 64

Then the total surface area is ...

  A = base area + 4 · triangle area

  A = 64 + 4(24) = 160 . . . square units

Answer:

I think that it is 120 but not sure

Step-by-step explanation:

sorry if wrong

25 + 2x = 55

2x = 30

x = 15

The number is 15

Answer:

Step-by-step explanation:

If the number is 15 then twice is 30 then add 25 = 30 + 25 = 55

Answer:

The slope is 3/2

Answer:

y = 5- 36

Step-by-step explanation:

6 is the x

-6 is the y

y=mx+b

so m times x, m is the slope

5 times 6 is 30

-6=30+b

so -36

y=5x-36

SORRY IF IM WRONG I TRIED

Answer:

option A) is correct.

Step-by-step explanation:

As we know that when we reflect across the line [tex]y=-x[/tex], the x-coordinate and y-coordinate would change places and be negated.

So the formula about the reflection across [tex]y=-x[/tex] will be:

(x, y) ⇒ (-y, -x)

From the graph, the vertices of the triangle are:

As the rule of reflection across [tex]y=-x[/tex] will produce the image with the vertices T', U' and V' which are as follows:

(x, y) ⇒ (-y, -x)

So, the vertices of U', T' and V' will be:

Therefore, option A) is correct.

Answer:

7x+Y=-2

Step-by-step explanation:

(y-y1)=m(x-x1)

(Y+4)=-7(x-2)

Y+4=-7x+2

Y+7x=2-4

7x+Y=-2

Answer:

$2754.70

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

m1 is greater than m2 because the angle is larger

Answer:

= 3.9 candy per pound

Step-by-step explanation:

This is a fraction equal to

7.8 candy ÷ 2 pounds

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 2

7.8 candy        ÷ 2

________

2 pounds ÷ 2

=  

3.9 candy

_______

1 pound

=  

3.9 candy

_______

pound

= 3.9 candy per pound

Answer:

B

Step-by-step explanation:

That's my guess.

Answer:

C

Step-by-step explanation:

Answer:

The depth of the Ocean Floor is -780 kilometers

Step-by-step explanation:

The answer is -780 because -15 multiplied by 52 equals -780.

Answer:

timeline

Step-by-step explanation:

the table shows the same time I don't have your phone you u you y you can get a hold of y have a lot to do it you got a

The domain and range provides a definition for a graph

Part A: The graph represents a function because a vertical line drawn from the horizontal crosses the graph only once

Part B. Domain: 0 ≤ t ≤ 30

Range: 7000 < f(t) ≤ 9,300

Reason:

Part A: The reason why the graph represents a function is that a function is a one to one relationship that maps each element of the set known as the domain to exactly one element of the set which is the range of the function

Therefore, a vertical line drawn on the graph of a function crosses the graph only once, such that one input cannot have two outputs

Which gives that the graph is a function, given that all the vertical lines from the horizontal axis crosses the graph f(t) at exactly one point

Part B

Domain:

The domain of a function are the possible input values of the function

In the graph, the possible values of the time, t are; 0 ≤ t ≤ 30

The domain of the function is 0 ≤ t ≤ 30

Range:

The range of a function are the possible output values of the function

The range of the given function f(t) are; from approximately 7,000 feet to approximately 9,000 feet, which gives;

The range of the function: 7000 < f(t) ≤ 9,300

Learn more here:

https://brainly.com/question/24508506

https://brainly.com/question/14489958

Answer:

x=2

Step-by-step explanation:

In order to solve the inequality, first simplify it. -8 (5x -7) can be simplified be distributing. Multiply -8 to each term.

-24 = -40x + 56  now you can solve it start by subtracting 56 on both sides

-80 = -40x now divide -40 on both sides

2=x

I hope this helps :)

have a nice day