rewrite! Write an new and equivalent equation that is easier to solve

[tex]{\huge{\fcolorbox{yellow}{red}{\orange{\boxed{\boxed{\boxed{\boxed{\underbrace{\overbrace{\mathfrak{\pink{\fcolorbox{green}{blue}{Answer}}}}}}}}}}}}}[/tex]

[tex] \sf 7( \sqrt{m + 1} - 3) = 21[/tex]

we will multiply 7 with bracket

[tex] \sf 7 \sqrt{m + 1} - 21 = 21[/tex]

Now we will take (-21) on LHS to RHS

[tex] \sf 7 \sqrt{m + 1} = 21 + 21 \\ \\ \sf7 \sqrt{m + 1 } = 42 \\ \\ \sf \sqrt{m + 1} = \frac{42}{7} \\ \\ \sf \sqrt{m + 1} = 6[/tex]

Now we will do squaring both sides

[tex] \sf {( \sqrt{m + 1}) }^{2} = {(6)}^{2} \\ \\ \sf \red {m + 1 = 36}[/tex]

[tex]\sf{ 7( \sqrt{m+1} - 3)=21}[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

[tex]\sf{\sqrt{m+1} - 3)=\frac{21}{7}}[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

[tex]\sf{ 7( \sqrt{m+1} - 3)=3}[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

[tex]\sf{\sqrt{m+1} =6}[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

Get the power of 2 in both sides.

[tex] \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

[tex]\sf{( \sqrt{m + 1})^2 = 6^2}[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

[tex]\sf{m+1=36}[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

[tex]\sf{m=35}[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

So the answer is m = 35

Given:
O {2,5}
O {1, 7, 11}
Set A = 1, 2, 5, 7, 11
Set B= 1, 4, 7, 8, 11
What is AUB?
O {1, 2, 4, 5, 8, 11}
O {1, 2, 4, 5, 7, 8, 11}
Submit Answer

Solve the following equation algebraically:
3x²=12
A. +3
b. ±2

C.+3.5
d. ±1.5

Let x be the amount of hours spent studying and let y be the number of points earned on a quiz. The graph of the relationship between x and y is below. Which equation represents this relationship?

pretend this is a 20 letter question please help me

Write an equation for this situation.

These are similar
figures. Solve for x

Drag and drop to complete the proof below:
Given: DE is tangent to circle C, at point F
Prove: E
D
F
חד
C

7. Given the following Balance Sheet
extract, calculate the net profit on the
Income Statement. (Assuming tax rate
= 10% of operating profit)
Balance Sheet Extract:
Shareholders Equity
Common Stock
200
25
Retained Earnings
Revenues
170
Cost of Sales
(103)
Salaries
(30)
Interest
(12)

The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 6 to 5. If there were 10,901 total votes, how many yes votes were there?

A piece of length of wire 8 ¼m. It is cut into two pieces. The length of onee piece is 4 3/5 m. What is the length of other piece

Answer should be 7/2m​

A recipe for chocolate pudding calls for 600 milliliters of milk and 120 milliliters of heavy cream. How many liters of liquid are needed for 2 servings of pudding? I promise I will mark you brainliest answer.

Francis works and earns $3437 dollars but on a pay stub pays 42% to tax. What is the sales Tax?

If ABCD and MNPQ are squares, where M is the center of the first. Calculate x

The radius, R, of a sphere is 7.8 m. Calculate the sphere's volume, V.
Use the value 3.14 for , and round your answer to the nearest tenth. (Do not round any intermediate computations.)

Simplify the expression using properties of exponents. 10a-8b-2/4a3b5

Determine the sine, cosine, and tangent to the angle

A sun 0=12/15

A used car depot wants to study the relationships between the age of a car and its selling price. Listed below is a random sample of 9 cars at the depot during the last 3 months

Determine whether a triangle with the given vertices is a scalene, isosceles, or equilateral tri Scalene Isosceles Equilateral triangle triangle triangle (a) J (2, 0), K (-1, -2), L (2,6) ID (b) A (3, 1), B(-3, 1), C (0, 6) (c) D (-8, 3), E(-1,0), F (-1, 6) ? X S​

HellpppNeed help please urgent

HELP NEEDED ASAP
answer these problems (image provided)
1. What is the volume of the first cube?



What do you know about the sides of a cube?





2. What is the volume of the cube with sides of 24m?





3. What is the volume of the cube with sides of 7m?





4. What is the combined volume of these 2 cubes?





5. How much more gold do you get in the better option?

Hhhhhhhhhhhhhhhhhhhhhhhhhhhh

Translate into an equation.
The sum of seven and a number, x, is five.

The sum of two consecutive integers is 5.
What are the numbers?
Hint. Consecutive integers differ by 1,
so let x = smaller integer and y = x + 1 =
next larger.

What is value of m in the equation 3 (2x - 4) = x +3​

Select the correct location on the table.
Select the expression that is equivalent to . (Refer to the image)

A 3-yard roll of waxed paper costs $9.81. What is the price per foot?

If triangle PQR ~ triangle XYZ, with a scale factor of 8:5, find the value of x and then use to find the perimeter of triangle PQR. PQ: 16, QR: 96, PR: 8x ; XY: 10, YZ: 60, XZ: 55

The points (-4, -3) and (r,15) lie on a line with slope 2. Find the missing coordinate

A bag of snacks contains 3 flavors: cherry, lemon, and grape. Carol will take 1 snack from the bag without looking. The probability for each flavor is shown in the table.

Solve this fraction, thanks!
[tex] \frac{10}{5} + \frac{ - 12}{5} [/tex]
​