Use pictures and Numbers to show all the ways to take apart 8

Use the distance formula distance, to find the distance to the nearest tenth , between each pair of points A(6,2) and D(-3,-2)

marusya05 [52]

Answer:

The distance between A and D to the nearest tenth is;

$9.8\text{ units}$

Explanation:

Given the two points;

$A(6,2)\text{ and D(-3,-2)}$

Applying the distance between two points formula;

$d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}$

substituting the given coordinates we have;

$\begin{gathered} AD=\sqrt[]{(-3-6)^2+(-2-2)^2} \\ AD=\sqrt[]{(-9)^2+(-4)^2} \\ AD=\sqrt[]{81+16} \\ AD=\sqrt[]{97} \end{gathered}$

Simplifying;

$\begin{gathered} AD=9.8488578 \\ AD\approx9.8 \end{gathered}$

Therefore, the distance between A and D to the nearest tenth is;

$9.8\text{ units}$

4 0

1 year ago

The shape of the solution region for the system (picture) can be described as which of the following? Select all that apply.

borishaifa [10]

Rectangle and parallelogram

It will have two pairs of parallel sides.

7 0

3 years ago

Pls help find the amount at the end of 6 hours

marshall27 [118]

Answer:

A. 7,348

Step-by-step explanation:

P = le^kt

intitial population = 500

time = 4 hrs

end population = 3,000

So we have all these variables and we need to solve for what the end population will be if we change the time to 6 hours. First, we need to find the rate of the growth(k) so we can plug it back in. The given formula shows a exponencial growth formula. (A = Pe^rt) A is end amount, P is start amount, e is a constant that you can probably find on your graphing calculator, r is the rate, and t is time.

A = Pe^rt

3,000 = 500e^r4

now we can solve for r

divide both sides by 500

6 = e^r4

now because the variable is in the exponent, we have to use a log

$log_{e}(6) = 4r$

ln(6) = 4r

we can plug the log into a calculator to get

1.79 = 4r

divide both sides by 4

r = .448

now lets plug it back in

A = 500e^(.448)(6 hrs)

A = 7351.12

This is closest to answer A. 7,348

4 0

3 years ago

How much will the guitar be worth in 10 years?

Contact [7]

Answer:

$44487

Step-by-step explanation:

If you plug in 10 for t, you are left with the following equation:

$V=12000(1.14)^{10}=12000\cdot 3.7072\approx 44487$ . Hope this helps!

8 0

3 years ago

Read 2 more answers

In the figure above, quadrilateral ABCD is a parallelogram. Let x represent the measure of angle GBF, y represent the measure of

ira [324]

Answers:
measure angle x = 40°
measure angle y = 35°
measure angle z = 55°

Explanation:
Part (a): getting angle x:
In triangle BED, we have:
measure angle BED = 90°
measure angle BDE = 50°
Therefore:
measure angle DBE = 180 - (90+50) = 40°
Now, we have angle DBE and angle GBF vertically opposite angles.
This means that they are both equal. Therefore angle GBF = 40°
Since angle GBF is x, therefore:
x = 40°

Part (b): getting angle y:
We know that the sum of measures of angles on a straight line is 180.
This means that:
angle GBF + angle GBC + angle CBE = 180
We have:
angle GBF = 40°
angle GBC = 105°
angle CBE = y
Therefore:
40 + 105 + y = 180
y = 35°

Part (c): getting angle z:
In triangle BCE, we have:
measure angle BCE = z
measure angle BEC = 90°
measure angle CBE = 35°
Therefore:
z + 90 + 35 = 180
z = 55°

Hope this helps :)

8 0

3 years ago