1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ddd [48]
3 years ago
13

Solve the equation by finding square roots. 4x^2 = 36

Mathematics
1 answer:
Debora [2.8K]3 years ago
3 0
First divide by 4 to get x^2=9. Then take the square root of both sides. x=3 and x = -3.
You might be interested in
A block of ice has a square top and bottom and rectangular sides. At a certain point in
Lilit [14]

Answer:

\frac{dV}{dt} = 360 \ cm^3/h

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

<u>Geometry</u>

  • Volume of a Rectangular Prism: V = lwh

<u>Calculus</u>

Derivatives

Derivative Notation

Differentiating with respect to time

Basic Power Rule:

  • f(x) = cxⁿ
  • f’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

<u>Step 1: Define</u>

<u />l = 30 \ cm\\w = l\\\frac{dl}{dt} = 2 \ cm/h\\h = 20 \ cm\\\frac{dh}{dt} = 3 \ cm/h<u />

<u />

<u>Step 2: Differentiate</u>

  1. Rewrite [VRP]:                                                                                                 V = l^2h
  2. Differentiate [Basic Power Rule]:                                                                         \frac{dV}{dt} = 2l\frac{dl}{dt} \frac{dh}{dt}

<u>Step 3: Solve for Rate</u>

  1. Substitute:                                                                                                           \frac{dV}{dt} = 2(30 \ cm)(2 \ cm/h)(3 \ cm/h)
  2. Multiply:                                                                                                               \frac{dV}{dt} = 360 \ cm^3/h

Here this tells us that our volume is decreasing (ice melting) at a rate of 360 cm³ per hour.

3 0
3 years ago
Which are the solutions of x2 = 10x + 1?
padilas [110]

Answer:

we have

Complete the square. Remember to balance the equation by adding the same constants to each side

Rewrite as perfect squares

Square Root both sides

substitute

therefore

the answer is

the solutions are

or

or

Click to let others know, how helpful is it

RStep-by-step explanation:

6 0
3 years ago
(pls help quick and explain how you got the answers for brainliest)
scoray [572]

You only have to apply the theorem of Pythagoras here. Remember the square on the hypotenuse (the longest side) is equal to the sum of the squares on the other two sides :

1. AB is the hypotenuse, so, according to the theorem we can write :

AB² = AC² + CB²

c² = 5² + 4²

c²= 25 + 16

c² = 41

applying the square root of 41 we get :

c ≈ 6.40 rounded to the hundred

The next cases are exactly the same thing so there is no need for explanation :

2.

AB is the hypotenuse here because it is the biggest side clearl :

AB² = AC² + CB²

25² = 15² + b²

Thus

b² = 25² - 15²

we just subtracted 15² on each side of the equation

b² = 625 - 225

b² = 400

applying the square root of 400 we get

b = √400 = 20

So AC = 20

3. The longest side is clearly AB = 60

So

AB² = AC² + CB²

60² = 40² + a²

subtracting 40² on each side of the equation we get :

a² = 60² - 40²

I let you finish this using your calculator and doing exactly like the previous cases

4.

AB is the hypotenuse,

AB² = AC² + CB²

23² = b² + 14²

Subtracting 14² from each side of the equation we get

b² = 23² - 14²

5.

AB is the biggest side :

AB² = AC² + CB²

29² = 23² + a²

We subtract 23² on each sides of the equation :

a² = 29² - 23²

You can finish with your calculator

6.

AB² = AC² + BC²

78² = b² + 30²

subtraction...

b² = 78² - 30²

Good luck :)

7 0
2 years ago
Use the rules of exponents to evaluate or simplify. Write without negative exponents.<br> (-243)^3/5
IRINA_888 [86]

Answer:

-27

Step-by-step explanation:

(-243)^3/5


We know that a^b^c = a^ (b*c)

(-243) ^ 1/5 ^3


We know (-243) ^ 1/5 = -3

(-3) ^3 = -27

5 0
3 years ago
Read 2 more answers
One of the factors of the polynomial x3 − 5x2 is x + 3. What is the other factor?
irga5000 [103]
This is impossible. The only two factors of this polynomial are 0 (multiplicity of 2) and 5. 
5 0
3 years ago
Other questions:
  • Please ASAP need the correct answer <br><br> -2<br><br> 2<br><br> -1/2<br><br> 1/2
    7·1 answer
  • <img src="https://tex.z-dn.net/?f=%28%20-%20%2055%292" id="TexFormula1" title="( - 55)2" alt="( - 55)2" align="absmiddle" clas
    8·2 answers
  • Use prime factorization to reduce 36/180
    7·1 answer
  • In the computer langauge Binary, what "language" can a computer understand?
    13·1 answer
  • Using the digits 1 to 9, at most one time each, fill in the boxes so that the points make a parallelogram. Mathematically, use p
    6·1 answer
  • What is the volume of this triangular prism? A triangular prism. The triangular base has a base of 28 centimeters and height of
    5·2 answers
  • Last year, Clayton picked 86% of the tomatoes in his garden. Jordan picked of the
    13·1 answer
  • Factor 13c(a+4)−5b(a+4)
    7·1 answer
  • What is the measure of the vertex angle of an isosceles triangle if one of its base angles measures 42°?
    11·1 answer
  • In the figure below, angle y and angle x form vertical angles. Angle y forms a straight line with the 60° angle and the 70° angl
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!