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2 years ago

Why the expressionY+y+y and3y are equivalent

Mathematics

1 answer:

rjkz [21]2 years ago

4 0

Answer:

Because if you add the amount of Ys together it equals 3y

Step-by-step explanation:

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Any help would be appreciated. Thank you!

trapecia [35]

Answer:

Area $=62.5\sqrt{6}$ square units

$AB=5\sqrt{15}$ units

$BC=5\sqrt{10}$ units

Step-by-step explanation:

In a right triangle the altitude drawn to the hypotenuse is the geometric mean of the segments at which this altitude divides the hypotenuse.

So,

$BD^2=15\cdot 10\\ \\BD^2=150\\ \\BD=\sqrt{150}=5\sqrt{6}\ units$

a. The area of the triangle ABC is

$A_{ABC}=\dfrac{1}{2}\cdot BD\cdot AC=\dfrac{1}{2}\cdot 5\sqrt{6}\cdot (15+10)=\dfrac{125\sqrt{6}}{2}=62.5\sqrt{6}\ un^2.$

b. The legs of the right triangle are geometric means of the segment adjacent to this leg and the hypotenuse, so

$AB^2=AD\cdot AC=15\cdot 25\Rightarrow AB=5\sqrt{15}\ units\\ \\BC^2=CD\cdot AC=10\cdot 25\Rightarrow BC=5\sqrt{10}\ units$

5 0

3 years ago

I need help to solve this problem Simplify (6^7)^3

VMariaS [17]

Answer:

Step-by-step explanation:

(6^7)^3 means (6^7)(6^7)(6^7).

When multiply numbers with same base, add the exponents.

6^(7+7+7)=6^(3*7)=6^(21).

In the beginning you could have just multiply 7 and 3 so the answer is 6^(21).

5 0

3 years ago

Read 2 more answers

Given: f(x) = x - 7 and h(x) = 2x + 3 Write the rule for f(h(x)).

azamat

F(h(x)) means wherever you see x in the f(x) function you're gonna plug in the h(x) function:
f(h(x)) = (2x + 3) - 7
= 2x + 3 - 7
= 2x - 4

6 0

3 years ago

Read 2 more answers

What is the area of this polygon in square units ?

Maru [420]

Answer:

9 units²

Step-by-step explanation:

This is a trapezium.

The length of the two parallel lines (on top and bottom) are 5 units and 1 units.

The height of the trapezium is 3 units. Using these information, we can apply the formula for area of trapezium to find the answer.

Area = 1/2 (5 + 1) x 3 = 9 units²

7 0

3 years ago

Leave the answer as an improper fraction

Ghella [55]

Hey there!

ANSWER: $\frac{23}{20}$

EXPLANATION:

To find the answer to your question, you will need to add.

$\frac{3}{4}+\frac{2}{5}$

First, multiply the denominator.

$5*4=20$

So the denominator will be 20.

Now move on to the numerator. Multiply 5 by 3.

$5*3=15$

Now multiply 4 bu 2.

$4*2=8$

If you want to get the numerator, add what you got after multiply.

$15+8=23$

The numerator is 23. So now let's complete the fraction.

$\frac{23}{20}$

This is your answer!

Hope this helps!

$-TestedHyperr$

3 0

3 years ago