Which property justifies this statement: 6d(3d+2) = 18d^2 + 12d

Answer & Step-by-step explanation:

When we see (f + g)(x), it means that we are going to be adding f(x) to g(x).

f(x) = 5x - 2

g(x) = 2x + 1

(f + g)(x) = (5x - 2) + (2x + 1)

Combine like terms.

(f + g)(x) = 7x - 1

So, (f + g)(x) equals 7x - 1

Answer:

The answer is 72

Step-by-step explanation:

You'll do 42 divided by 7 times 2

42/7x2

Hope it helps.

A car travels 72 km on 12 liters of petrol.

What is Division method?

Division method is used to distributing a group of things into equal parts.

Given that;

A Car travels 42 km on 7 liters of petrol.

Now,

Since, On 7 liters of petrol a car travel 42 km

Hence, On 1 liter of petrol distance cover by a car = 42 ÷ 7

                                                                             = 6 km

So, On 12 liters of petrol distance cover by a car = 6 × 12

                                                                           = 72 km

Thus, A car travels 72 km on 12 liters of petrol.

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Answer:

Option (2)

Step-by-step explanation:

                          Statements                                Reasons

1). ∠1 is comp. to ∠2                                1. Given

2). ∠2 is comp. to ∠3                              2. Given

3). ∠1 + ∠2 = 90°                                      3. def. of comp. angles

4). m∠1 = 90° - ∠1                                    4. Subtr. equality property

5). m∠2 + m∠3 = 90°                              5. def. of comp. angles

6). m∠3 = 90° - m∠2                               6. subtr. equality property

7). m∠1 = m∠3                                         7. Transitive property

Option (2) will be the answer.

Both angle ∠1 and ∠3 are complementary to ∠2, therefore, ∠1 + ∠2 = 90°

and by properties of equality, ∠1 = ∠3.

Response:

The completed two column proof is presented as follows;

Statements  [tex]{}[/tex]                             Reasons

1. ∠1 is comp. to ∠2  [tex]{}[/tex]               1. Given

2. ∠2 is comp. to ∠3  [tex]{}[/tex]             2. Given

4. m∠1 = 90° - m∠2  [tex]{}[/tex]                4. Subtraction equality property

5. m∠2 + m∠3 = 90°  [tex]{}[/tex]              5. Definition of complementary angles

6. m∠3 = 90° - m∠2  [tex]{}[/tex]                6. Subtraction equality property

7. m∠1 = m∠2   [tex]{}[/tex]                        7. Transitive property

Details of the solution:

Given that ∠1 is complementary to ∠2, we have;

∠1 + ∠2 = 90°

Similarly, by definition of complementary angles, we have;

∠2 + ∠3 = 90°

Which gives;

∠3 + ∠2 = 90°

Therefore;

∠1 + ∠2 = ∠3 + ∠2

Subtracting ∠2 from both sides (subtraction property of equality), gives;

∠1 + ∠2 - ∠2 = ∠3 + ∠2 - ∠2

∠1 + 0 = ∠3 + 0

Which gives;

∠1 = ∠3

Learn more about properties of equality here

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Answer:

1. x = -5 and x = 1

2. x = 5 and x = -1

3. no integral solutions

4. no integral solutions

Step-by-step explanation:

Answer:

1, 4, and –5

Step-by-step explanation:

on edge

Answer:

65p

Step-by-step explanation:

375 divided by 750=0.50

0.50+15=65p

Answer:

0.65

Step-by-step explanation:

750 / 375 = 0.50, and he wanted to sell them for 0.15 more than the original cost, so the answer is 0.65

Answer

k = 3.575.

Step-by-step explanation:

Answer:

y = 1/2x+5

Step-by-step explanation:

You have two points so you can find the slope

m = (y2-y1)/(x2-x1)

m = (8-3)/(6 - -4)

   (8-3)/(6+4)

    5/10

 1/2

The slope intercept form is y = mx+b where m is the slope and b is the y intercept

y = 1/2 x+b

Substitute a point into the equation

8 = 1/2(6)+b

8 = 3+b

b=8-3 = 5

y = 1/2x+5

Answer:

A and B

Step-by-step explanation:

Mrs. Quotient asked her students to simplify each of the expressions below. Which of the numbered choices represents the expressions which simplified to the same result? A 126/2 B 23 × 3 C 3 × 21

When simplifying an algebraic expression, the following steps are needed to be taken.

Firstly, remove parenthesis by multiplying the constant with the term in the parenthesis or remove parenthesis using exponent rules for parenthesis in exponent form.

Secondly Combine terms by adding coefficients of terms with the same order and lastly sum all constant.

A) 126/2

Applying the division rule give:

126/2 = 63

B) 23 × 3

Applying multiplication rule gives:

23 × 3 = 69

C) 3 × 21

Applying multiplication rule gives:

3 × 21 = 63

Both the results of expression A and expression B are simplified to the same result

Answer:

p: 42

a: 82.16

Step-by-step explanation:

For perimeter, add all the sides together

For area, multiple the longer side by the shorter side

Answer:

2^4x3x5

Step-by-step explanation:

240=2x120

120=2x60

60=2x30

30=2x15

15=3x5

First simplify the equation of parabola y=-5x^2+15x-10 in the following way:

D=(15)^2-4\cdot (-5) \cdot (-10)=225-200=25, \\  \sqrt{D}=5, \\  x_{1,2} = \dfrac{-15\pm 5}{2\cdot(-5)} = 2, 1  \\ -5x^2+15x-10=-5(x-1)(x-2), \\ y=-5(x-1)(x-2).

You can see that if x=1 or x=2, then y=0. Two points of intersection with x-axis are (1,0) and (2,0).

Answer:

The equation for the following graph:

[tex]y = -\frac{1}{5}x[/tex]

Step-by-step explanation:

- You first need to find the slope by using the slope formula:

[tex]m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]

(where [tex](x_{1},y_{1})[/tex] is the first point and [tex](x_{2}, y_{2})[/tex] is the second point)

-Use the given points [tex](0,0)[/tex] and [tex](10, -2)[/tex] from the graph for the formula:

[tex]m = \frac{-2 - 0}{10 - 0}[/tex]

Then, you solve:

[tex]m = \frac{-2 - 0}{10 - 0}[/tex]

[tex]m = -\frac{1}{5}[/tex]

After you have found the slope, use the slope [tex]-\frac{1}{5}[/tex] and the first point [tex](0,0)[/tex] for the point-slope formula:

[tex]y - y_{1} = m ( x - x_{1})[/tex]

(where [tex]m[/tex] is the slope and [tex](x_{1}, y_{1})[/tex] is the first point)

[tex]y - 0 = -\frac{1}{5} ( x - 0)[/tex]

Then, you solve:

[tex]y - 0 = -\frac{1}{5} ( x - 0)[/tex]

[tex]y - 0 = -\frac{1}{5}x - 0[/tex]

[tex]y - 0 + 0 = -\frac{1}{5} - 0 + 0[/tex]

[tex]y = -\frac{1}{5}x[/tex]

So, the equation for the following graph is [tex]y = -\frac{1}{5}x[/tex] .

Answer:

Probability ≈ 0.1071

Step-by-step explanation:

Consider steps below;

[tex]Total Possible Outcomes - 8C5,\\\\8! / 5! ( 8 - 5 )!,\\1 * 2 * 3 * 4 * 5 * 6 * 7 * 8 / ( 1 * 2 * 3 * 4 * 5 )( 1 * 2 * 3 ),\\\\6 * 7 * 8 / 6 = Combinations - 56,\\\\[/tex]

[tex]Number Of Outcomes - 6C5,\\\\6! / 5! ( 6 - 5 )!,\\1 * 2 * 3 * 4 * 5 * 6 / ( 1 * 2 * 3 * 4 * 5 ) ( 1 ),\\720 / 120 * 1,\\\\Outcomes - 6[/tex]

[tex]Conclusion ; Solution - 6 / 56 = ( About ) 0.1071\\Hope That Helps![/tex]

Solution; Probability ≈ 0.1071

Answer:

The probability is 0.107

Answer:

This is the angle in the angle in the fourth quadrant that verifies the given conditions:

[tex]\phi =\frac{11\, \pi}{6} \\[/tex]

Step-by-step explanation:

Notice that in the unit circle, if sin of the angle is negative, and cos of the same angle is positive, we are in the fourth quadrant.

Also, the angle that renders

[tex]sin(\phi)=-\frac{1}{2}[/tex]

in the fourth quadrant, is [tex]\phi =\frac{11\, \pi}{6} \\[/tex]

for such angle, also :

[tex]cos(11 \pi/6)=\frac{\sqrt{3}}2}[/tex]

which verifies the second condition.

Answer:

-3, -3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Slope of a line is defined as the change in the component of the y- axis to its x axis as shown;

slope = Δy/Δx = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

From the graph, y2 = 0, y1 = 4000, x2 = 10, x1 = 0

slope = [tex]\frac{0-4000}{10-0}[/tex]

[tex]slope = \frac{-4000}{10}\\ slope = -400[/tex]

The slope of the line is a negative slope and it is -400

Answer: A. -400

Step-by-step explanation:

just had this and got in correct

Answer:

52.195 miles

Step-by-step explanation:

84 km to miles is 52.195 miles

Answer: Answer is f(x) = 25x4 - 7x2 + x + 4

Step-by-step explanation:

Answer:

d on edg

Step-by-step explanation:

Answer negative 9 is the answer

Step-by-step explanation:

Answer:

m=1/7x

Step-by-step explanation:

Answer:

[tex] slope= \frac{1}{7} [/tex]

Step-by-step explanation:

[tex](3 \: \: \: \: \: \: \: 2) = > (x1 \: \: \: \: \: \: \: x2)\\ (10 \: \: \: \: 3) = > (y1 \: \: \: \: \: \: \: y2)[/tex]

[tex]slope \\ = \frac{y1 - y2}{x1 - x2} \\ = \frac{2 - 3}{3 - 10} \\ = \frac{ - 1}{ - 7} \\ = \frac{1}{7} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

1

Step-by-step explanation:

The slope intercept form for this problem is y = x - 16

Answer:

True

Step-by-step explanation:

90-35=55degree

180-55=125°

Answer:

24

Step-by-step explanation:

If you go from 2 parts pineapple to 8, thats a 4x increase. Therefore 6x4=24 (6 from the Ginger)

Answer:

the answer is graph 1

Answer:

4^-10

Step-by-step explanation:

(4^-2)^5

4^-2 x 5

= 4^-10

hope this helped have fun doing school haha

Answer:

[tex]\frac{1}{32768}[/tex]

Step-by-step explanation:

[tex](4^{-2})^{5}[/tex]

[tex](\frac{1}{4^{2} }) ^{5}[/tex]

[tex](\frac{1}{8})^{5}[/tex]

[tex]\frac{1}{32768}[/tex]

Answer:

Step-by-step explanation:

Weren't there possible answer choices from which to choose?  If so, please share them.

7                             3 + 4

-- is equivalent to ---------- and has an estimated (and exact) quotient of 3.5.

2                                2

If the divisor (2) and the dividend (7) were rounded to the nearest whole number (which would be 7), the estimated quotient would still be 3.5.

Answer:

7                             3 + 4

-- is equivalent to ---------- and has an estimated (and exact) quotient of 3.5.

2                                2

Step-by-step explanation:

Answer:

A. a triangle with an area of 20 square units

Step-by-step explanation:

note when you cut from top tip to the bottom you will get a triangle with base = 4 and height =10

Area of triangle = 1/2 * base * heighte

Area of triangle = 0.5*10*4

Area of trianle = 20 square units