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2 years ago

Help with this and explain please

Mathematics

1 answer:

svet-max [94.6K]2 years ago

4 0

Answer:

Step-by-step explanation:

-6x + y = -6 Add 6x to both sides

y = 6x - 6 So the slope of the new line is 6

The point the new line has to go through is (-4,0) That will determine b.

y = 6x - 6

x = - 4

y = 0

0 = 6*(-4) + b Combine

0 = - 24 + b add 24 to both sides

24 = b

Answer: y = 6x + 24

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Help please !!!!!!!!

Rudik [331]

Answer:

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first choice

3 0

3 years ago

Read 2 more answers

Polygon ABCD is translated to create polygon A′B′C′D′. Point A is located at (1, 5), and point A′ is located at (-2, 3). Which e

kumpel [21]

Answer:

$(x',y')-->(x-3,y-2)$

Step-by-step explanation:

Notice that we can get from the x-coordinate of A, 1, to the x-coordinte of A', -2, by subtracting 3 from the x-coordinate of A. More formaly:

$1+a=-2$

$a=-2-1$

$a=-3$

Similarly, we can get from the y-coordinate of A, 5, to the y-coordinate of A', 3, by subtracting 2 from the y-coordinte of A. More formaly:

$5+b=3$

$b=3-5$

$b=-2$

Now we now that to get to A' from A, we need to subtract 3 to the x-coordinate of A and subtract 2 to the y-coordinate. Knowing this, we can create the expression to translate any point of the polygon ABCD to create the polygon A'B'C'D':

$(x',y')-->(x-3,y-2)$

3 0

3 years ago

Translate to an algebraic statement. "The quotient of twice a number and 7 is 20."

Genrish500 [490]

Answer:

Translation: 2x/7 = 20

Step-by-step explanation:

When we listen to the word "quotient", it means the solution to a division problem.
An unknown number that has been multiplied by 2 is in the numerator because it came before the 7 in the statement.
The number "7" is in the denominator because it came after the 2x in the statement.
The word "is" represents an equal sign.
The solution to the division problem (quotient) is 20.

If we put these clues together, we get 2x/7 = 20 as our translated equation.

Hence, our algebraic statement is 2x/7 = 20. The key is to listen to the statement. 

$BrainiacUser1357$

4 0

2 years ago

Explain how to evaluate f(g(0)).

alekssr [168]

Answer as a fraction: 17/6

Answer in decimal form: 2.8333 (approximate)

==================================================

Work Shown:

Let's use the two black points to determine the equation of the red f(x) line.

Use the slope formula to get...

m = slope

m = (y2-y1)/(x2-x1)

m = (4-0.5)/(2-(-1))

m = (4-0.5)/(2+1)

m = 3.5/3

m = 35/30

m = (5*7)/(5*6)

m = 7/6

Now use the point slope form

y - y1 = m(x - x1)

y - 0.5 = (7/6)(x - (-1))

y - 0.5 = (7/6)(x + 1)

y - 0.5 = (7/6)x + 7/6

y = (7/6)x + 7/6 + 0.5

y = (7/6)x + 7/6 + 1/2

y = (7/6)x + 7/6 + 3/6

y = (7/6)x + 10/6

y = (7/6)x + 5/3

So,

f(x) = (7/6)x + 5/3

We'll use this later.

---------------------

We ultimately want to compute f(g(0))

Let's find g(0) first.

g(0) = 1 since the point (0,1) is on the g(x) graph

We then go from f(g(0)) to f(1). We replace g(0) with 1 since they are the same value.

We now use the f(x) function we computed earlier

f(x) = (7/6)x + 5/3

f(1) = (7/6)(1) + 5/3

f(1) = 7/6 + 5/3

f(1) = 7/6 + 10/6

f(1) = 17/6

f(1) = 2.8333 (approximate)

This ultimately means,

f(g(0)) = 17/6 as a fraction

f(g(0)) = 2.8333 as a decimal approximation

8 0

2 years ago

15) What is the difference between a rhombus and a square?

PIT_PIT [208]

Answer:

C) The angles in a square measure 90 degrees. The rhombus has obtuse and

acute angles.

Step-by-step explanation:

4 0

3 years ago