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3 years ago

2(1-x)=3(1+2x)+5how to solve this

Mathematics

2 answers:

IrinaK [193]3 years ago

8 0

Whew photo. Hope this helps.

Dimas [21]3 years ago

3 0

Start with the distributive property on both sides.

So It would become: 2-2x=3+6x+5

Add like terms: 2-2x=8+6x

Add two to both sides since its negative: 2=8+8x

Now subtract 8 from both sides: -6=8x

Now divide 8 on both sides: -6/8=8x/8

Since 8x/8 cancels out to 1x, it can be written as x

Simplify: -3/4

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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

4 years ago

What is the missing exponent of 32=2?

MrRa [10]

32 = 2^5 <==== my answer is too short..lol

5 0

4 years ago

Read 2 more answers

How many quarts are there in 12 gallons and 3 quarts? enter the number only. Do not include units

lidiya [134]

Answer:

Step-by-step explanation:

5 0

3 years ago

NEED HELP FAST PLZZ!!!!!!!

adell [148]

The answer is A. 102.

Have a great day!

4 0

3 years ago

The sum of 2 numbers is equal to 10. The difference between those same two numbers is equal to -4 find the numbers.

Akimi4 [234]

Answer:

3 and 7

Step-by-step explanation:

For problems like these I take the largest number in this case 10, and start writing out what 2 numbers would give me 10. 0+10, 1+9, 2+8, 3+7...while doing that I subtract the numbers as well. thus 3+7=10 3-7=-4

8 0

2 years ago