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4 years ago

Which ratios are in proportion to 2/5? Select all that apply.

Mathematics

2 answers:

kumpel [21]4 years ago

4 0

The answers are
b.
d
e.

musickatia [10]4 years ago

4 0

Answers are b (multiply by 3), d (multiply by 5), and e (multiply by 8).

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The endpoint coordinates of AB are A(2, -10) & B(12, 5). Find the coordinates of the point that is 2/5 from A to B.

sergey [27]

<h3>Answer: $\large \boldsymbol {\sf 2\sqrt{13} \approx7,2}$ </h3>

Step-by-step explanation:

Find the distance between points A and B by the formula:

$\large \boldsymbol {\sf D=\sqrt{(x_1-x_2)^2+(y_1+y_2)^2} }$

$\large \boldsymbol{} \sf D=\sqrt{(2-12)^2+(-10-5)^2} =\sqrt{100+225} =\boldsymbol {\sqrt{325}=5\sqrt{13} }$

By the condition we are told to find 2/5 the distance between points A and B

$\sf \large \boldsymbol {} \dfrac{2}{5} \cdot D=5\sqrt{13} \cdot \dfrac{2}{5} =\boxed{\sf 2\sqrt{13}}$

We can also find the distance between them through the Pythagorean theorem we will complete a right triangle

AB²=AC²+BC²

AB=√AC²+BC²

Where AC=10 ; BC=15

AB= $\boldsymbol {\sf \sqrt{15^2+10^2}=\sqrt{325}=5\sqrt{13} }$

Then 2/5* AB=2 $\sqrt{13}$

3 0

3 years ago

Read 2 more answers

Find the equation of this line

Kazeer [188]

Answer:

y= 1x-2

Step-by-step explanation:

The slope is 1.

The y- intercept is (0,-2)

In the equation

y= 1x-2

Hope this helps!

8 0

3 years ago

(section 6.1) Find the length of the small arc formed by the intersection of the unit circle a circle centered at the origin wit

Nikitich [7]

Answer:

The length of the arc is approximately 2.0944

Step-by-step explanation:

The given parameters are;

The equation of the circle = x² + y² = 1

The radius of the circle, r = 1

The equation of the line, y = 1/2

Therefore, we point where the line intersects with the circle are given as the points 'y = 1/2' as follows;

When y = 1/2, the equation of the circle becomes;

x² + (1/2)² = 1

x² = 1 - (1/2)² = 3/4

x = ±√3/2

The angle subtended by the arc, θ = 2 × arctan((√3/2)/(1/2)) = 120°

The circumference of the circle, C = 2·π·r

∴ C = 2 × π × 1 = 2·π

The length of the arc, l = (θ/360) × C

∴ l = (120/360) × 2·π = (2/3)·π

The length of the arc, l = (2/3)·π ≈ 2.0944

8 0

3 years ago

Which equation represents the line that passes through (0,8)and(2,0)

Lelu [443]

The answer is C.

y= -4x + 8
You can plug in your coordinates.

For (0,8), plug in the x and y values.
8 = -4(0) +8
8 = 0+8
8=8 so, this works

For (2,0) plug in your coordinates.
y = -4x + 8
0 = -4(2) + 8
0 = -8 + 8
0=0

If both coordinates work for the equation, then they pass through that line.

6 0

3 years ago

HELP ASAP! Write an equation where the solution is b= -6. Include like terms and fractions! Thanks in advance

ryzh [129]

First, I'd like to state there are many possibilties to for this solution.

Okay, 9/3 + 3 = -1b

Lets check.
PEMDAS!
9/3 is = 3

So:
3 + 3 = -1b

Then combine like terms:
6 = -1b

Following PEMDAS, divide -1 on both sides so..
-6 = b or b = -6

So, 9/3 + 3 = -1b works!!!

3 0

3 years ago