What is the prime factorization of 144? Be sure to show your strategy.

The given equations are as follows

[tex]\begin{aligned} A.&&\dfrac x4+1&=-3 \\\\ B.&&x+4&=-12 \end{aligned}[/tex]

(1) First, multiply both sides of equation A by 4, we have

[tex]4\times\left(\frac{x}{4} +1\right)=4\times(-3)[/tex]

Then, rewrite the left-hand side of the above equation by using the distributive property, we have

[tex]4\times\frac{x}{4}+4\times1=4(-3)[/tex]

[tex]\Rightarrow x+4=-12[/tex]

This is the required equation B.

In this way, first use choice D: Multiply both sides by the same non-zero constant, i.e 4.

Then, apply choice A to solve the equation, i.e using the distributive property to solve the left-hand side of the equation.

(2) In the previous answer, equation B has been derived from equation A, hence, both the equations are equivalent.

As both the equations are the same, so both will have the same solution.

Yes, they have the same solution.

Answer:

it 2

Step-by-step explanation:

Answer:

B.) -4

Step-by-step explanation:

y=mx+b

b is equal to the y-intercept.

Answer:

-4

Step-by-step explanation:

The slope intercept form is y = mx + b.

m = slope

b = y-intercept

since b = -4, the y-intercept is -4

Answer:

The slope is -4/3.

Step-by-step explanation:

Slope = rise/run. Starting at (3, -1), you go up 4 units and over to the left 3 units to (0,3). Since it's a line of decay, the slope is negative.

Answer:

the slope should be -4/3

Step-by-step explanation:

you go down 4 and to the right 3 so I am pretty sure it is -4/3

Based on the HL congruence rule, the value of x, is calculated as:

x = 2.

Both triangles that share the same side and have corresponding angle 90 degrees and a pair of corresponding congruent hypotenuse are congruent  to each other based on the HL congruence theorem.

This means that:

17x - 3 = 9x + 13

Solve for the value of x:

17x - 9x = 3 + 13

8x = 16

Divide both sides by 8:

8x/8 = 16/8

x = 2

The value of x is: 2.

Learn more about HL congruence theorem on:

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Answer:

y = - 0.5 | x - 5 | + 2

Step-by-step explanation:

g(x) = |x|

[tex]1^{st}[/tex] step - shifts right 5 units: g(x + 5) = | x - 5 |

[tex]2^{nd}[/tex] step - shifts up 2 units: g(x + 5) + 2 = | x - 5 | + 2

[tex]3^{rd}[/tex] step - reflected: - g(x + 5) + 2 = - | x - 5 | + 2

[tex]4^{th}[/tex] step - stretched by 0.5: y = - 0.5 | x - 5 | + 2

y = - 0.5 | x - 5 | + 2

Answer:

CB = 13.75

Step-by-step explanation:

Since we know that A, B, and C are the midpoint of the sides, we know that line CB is proportional to QR (by 2)..

So, 27.5/2 = 13.75

Answer:

Sorry.........................

Answer:

A

Step-by-step explanation:

number books = n

2xn / 15

Answer:

i believe its B side Tu

Step-by-step explanation:

Answer:

0 is rational

5 rational so u are correct

Step-by-step explanation:

Step-by-step explanation:

0 is Rational

5 is Rational is you are correct

The value of 'x' is 115 degrees and this can be determined by using the sum of interior angles property of hexagon.

Given :

The following steps can be used in order to determine the value of x which is an interior angle of a hexagon:

Step 1 - According to the given data, the given polygon has 6 sides means that it is a hexagon with interior angles 118°, 127°, 111°, 123°, 126°, and x°.

Step 2 - The sum of interior angles of a hexagon is 720 degrees.

Step 3 - So, the values of 'x' can be calculated by using the below expression:

118 + 127 + 111 + 123 + 126 + x = 720

Step 4 - Simplify the above expression.

605 + x = 720

x = 720 - 605

x = 115 degrees

For more information, refer to the link given below:

https://brainly.com/question/4083236

Answer:

Step-by-step explanation:

The system resulting in equation 0=3 means:

Correct choice is:

Answer:

b = 34/3

General Formulas and Concepts:

Pre-Alg

Step-by-step explanation:

Step 1: Define equation

-17 = -3/2b

Step 2: Solve for b

Step 3: Check

Plug in b to verify it's a solution.

Answer:

156

Step-by-step explanation:

221/17=13

13*12=156

Answer:

$156

Step-by-step explanation:

221/17=x/12

221*12=17x

2652=17x

156=x

Step-by-step explanation:

The value of all the angles in a triangle add up to 180.

So to find x do 180-(66+52)

The angle opposite of x is the same value as x

X+E or X+Z are both equal to 180.

Answer:

there is no picture... but i will try my best to help you if you post picture in another question

Answer:

4

Step-by-step explanation:

7-3=4

Answer:

7-3=4

Step-by-step explanation:

Im not quite sure if this is what you were asking for but here

Answer:

k =5

Step-by-step explanation:

triangle =180

180-115=65

65-10-5=50

50/ (4+6)= 5

Answer:

Step-by-step explanation:

She has 200

80 deposit - 200= 120 left to spend

80+30h=200

If she has 120 left to spend at 30 hr, she could have the boat for 4 hrs

80+30h=200 subtract 80 from both sides

30h=120 divide by the 30

h=4

Answer:

x intercept (2,0)

y intercept (0,-4)

Answer:

x intercept (2,0)

y intercept (0,-4)

Step-by-step explanation:

give me brainliest

Answer:

nhi pta... pdhai dhang se kiya kro

Answer:

A

Step-by-step explanation:

(3 + 5i) + (10 + 7i) =

3 + 5i +10 + 7i =

3 + 10 + 5i + 7i =

13 + 12i

Answer:

[see below]

Step-by-step explanation:

In a group of 75 fourth graders, 21% do not like Skittles.

This means that 79% of people do like Skittles.

75 * .79 = 59.25 ≈ 59

59 students should like skittles.

Hope this helps.

Answer:

(x + 3)(3x - 4)

Step-by-step explanation:

Given

3x² + 5x - 12

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 3 × - 12 = - 36 and sum = + 5

The factors are + 9 and - 4

Use these factors to split the x- term

3x² + 9x - 4x - 12 ( factor first/second and third/fourth terms )

= 3x(x + 3) - 4(x + 3) ← factor out (x + 3) from each term

= (x + 3)(3x - 4)

Thus

3x² + 5x - 12 = (x + 3)(3x - 4) ← in factored form

Answer: (0, -2)

Step-by-step explanation:

Answer:

the fact that this dosen´t the question like

Step-by-step explanation: