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3 years ago

What is the solution of two thirds x=12

1 answer:

8 0

Hi there!

To solve this problem, we need to simplify.

2/3x = 12

To isolate x, we should multiply both sides of the equation by the reciprocal of 2/3 to make x equal to a value:

Reciprocal of 2/3 = 3/2

x = 12 * 3/2
x = 18

Hope this helps!

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Find the domain and range with a vertex of (1,-2)

klemol [59]

Answer:

see explanation

Step-by-step explanation:

the domain ( values of x ) that a quadratic can have is all real numbers

domain : - ∞ < x < ∞

the range ( values of y ) are from the vertex upwards , that is

range : y ≥ - 2

3 0

2 years ago

Use the Pythagorean Theorem to determine which of the following give the measures of the legs and hypotenuse of a right triangle

kakasveta [241]

The Pythagorean theorem states that the square of the hypotenuse is equal to the sum of the squares of the legs:

$c^2=a^2+b^2.$

The hypotenuse is the side with the greatest length.

Check all options:

1. c=5, a=3, b=4:

$5^2=25,\\3^2+4^2=9+16=25,\\5^2=3^2+4^2$ true.

2. c=14, a=4, b=11:

$14^2=196,\\4^2+11^2=16+121=137,\\14^2\neq 4^2+11^2$ false.

3. c=17, a=9, b=14:

$17^2=289,\\9^2+14^2=81+196=277,\\17^2\neq 9^2+14^2$ false.

4. c=16, a=8, b=14:

$16^2=256,\\8^2+14^2=64+196=260,\\16^2\neq 8^2+14^2$ false.

5. c=17, a=8, b=15:

$17^2=289,\\8^2+15^2=64+225=289,\\17^2=8^2+15^2$ true.

Answer: correct options are A and E.

4 0

3 years ago

Read 2 more answers

Identify the number of solutions or zeros<br><br> 2x^2+5x-9=0

Anon25 [30]

There are going to be two solutions because the "biggest" x is x^2 but you can factor to find what they actually are.

6 0

3 years ago

Four times two less than a number is the same as thrice one more than the number. Find the number.

IgorLugansk [536]

Answer:

See below:

Step-by-step explanation:

We can first setup an equation by doing the following:

$4(2-x) = 3(x+1)\\8-4x=3x+3\\8-7x=3\\-7x=3-8\\-7x=-5\\x=-5/-7 (5/7)$

Whole proccess above!

If you would like an explanation, please let me know so.

Its basically algebra and it's mainly on how you interpret it!

Have a nice day!

5 0

2 years ago

A book has 55 pages with pictures and 45 pages without pictures, which ratio relationship is shown by the pages in the book?

suter [353]

Answer:

11 pages with picture to every nine pages without pictures. or 11 per every 9

Step-by-step explanation:

divide each number by a common denominator, in this case 5, to get a change from 55 per every 45 to 11 per every 9.

8 0

3 years ago