Use the graph and the translation (x,y)

Katena32 [7]

In order to find out what the blank of your expression is,, we must solve for y. We can start doing this by distributing -2 through the parenthesis.
y - 4 = -2x - 6
Now you need to move the constant to the right side and change its sign.
y = -2x - 6 + 4
Calculate the sum of -6 + 4.
y = -2x - 2
Since we cannot simplify this down any further,, y is going to equal -2x - 2.
Let me know if you have any further questions.
:)

6 0

4 years ago

PLEASE HELP ME ASAP!!

marshall27 [118]

Answer:

(0.5, 0.5)

Step-by-step explanation:

Use the midpoint formula: $(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

The points are:

A(-2, 4)
C(3, -3)

$(\frac{-2+3}{2},\frac{4-3}{2})\\\\(\frac{1}{2},\frac{1}{2})$

Therefore, the midpoint between A and C is located at (0.5, 0.5).

6 0

3 years ago

If z = (5 + 12i) ÷ (3 + 4i), then |z| = _____. 5/13 1(2/3) 2(3/5) 3

Marta_Voda [28]

$\dfrac{5+12i}{3+4i}=\dfrac{5+12i}{3+4i}\cdot\dfrac{3-4i}{3-4i}=\dfrac{15-20i+36i-49i^2}{3^2-(4i)^2}\\\\=\dfrac{15+16i+49}{9-16i^2}=\dfrac{64+16i}{9+16}=\dfrac{64+16i}{25}=2.56+0.64i$

$z=a+bi\\\\|z|=\sqrt{a^2+b^2}\\\\z=2.56+0.64i\to a=2.56;\ b=0.64\\\\|z|=\sqrt{2.56^2+0.64^2}=\sqrt{6.9632}=\sqrt{\dfrac{69632}{10000}}=\sqrt{\dfrac{4096\cdot17}{100}}\\\\=\dfrac{64\sqrt{17}}{100}=0.64\sqrt{17}\approx2.6=2\dfrac{3}{5}$

3 0

3 years ago

Read 2 more answers

How many solutions can be found for the equation −4x − 11 = 2(x − 3x) + 13?

Virty [35]

0, No solution.
-4x-11=2 (x-3x)+13
-4x-11=2 (-2x)+13
-4x-11=-4x+13
-11 is not equal to 13 so there is no solution

6 0

4 years ago

Read 2 more answers

Answer the question below, select all that apply. And I'd pick give u more points if I got correct.

antiseptic1488 [7]

9514 1404 393

Answer:

A and B: 1/4x, x -3/4x
A and C: 8/5x, x +3/5x

Step-by-step explanation:

The wording of these questions is ambiguous, and should be avoided. Statements describing amounts "more" (or "farther") or "less" usually are describing a quantity that is in the original measure.

For example, "2 kegs and 3 more" would generally be interpreted to mean 5 kegs.

An exception to this interpretation is usually intended when percentages are involved. "2 kegs and 50% more" would generally be interpreted to mean 3 kegs, the original 2 plus 50% of 2, or 1 more. This is most often seen in pricing, where percentages are used to express markups or discounts.

Here, the notion of (some amount) and (some fraction) more (or less) could mean that a fraction of the original unit is being added (or subtracted). Or, it could mean that a fraction of the original quantity is being added (or subtracted). That is, we could interpret "2 kegs and 1/2 more" to mean 2 1/2 kegs, or 2 +(1/2)(2) = 3 kegs. It is this ambiguity that is present in these questions.

__

For these answers, we will (reluctantly) interpret the fraction to mean a fraction of the original quantity, not the original unit.

1. 3/4 of x fruit snacks will be 3/4x. When that amount is subtracted from x, we have ...

x - 3/4x = 1/4x

These expressions match the first and second choices, "A" and "B".

__

2. 3/5 of x miles will be 3/5x miles. When that amount is added to x, we have ...

x + 3/5x = 8/5x

These expressions match the first and third choices, "A" and "C".

_____

Please be aware that the alternate interpretation is completely legitimate. More context is needed to resolve the ambiguity. (That context may be supplied by examples or rules given in your curriculum materials.) That is, appropriate answers might also be ...

1. x -3/4 (one choice only) -- assumes 3/4 of a fruit snack

2. x +3/5, 3/5 +x (two choices) -- assumes 3/5 of a mile

4 0

3 years ago