2 + 8(x + 2) = 52
a 3
b 1
C2
d 4

Answer:

a^2 + b^2 - c^2 + 2ab

Step-by-step explanation:

(a + b - c)(a + b + c)

1. expand

(a^2 + ab + ac + ba + b^2 + bc - ca - cb - c^2)

2. rearrange,

(a^2 + b^2 - c^2 + ab + ba + ac - ca + bc - bc)

3. add and subtract

(a^2 + b^2 - c^2 + 2ab)

Answer:

The correct option is;

A. The total points Shelly earned

Step-by-step explanation:

The given details are;

The number of tasks completed by Shelly and Terrence in the game = x

The total points scored by Terrence = 20 less than the total point scored by Shelly

The expression for Terrence's total point is 90·x - 20

Let the total points Shelly earned = Y

Therefore since the total points scored by Terrence = 20 less than the total point scored by Shelly, we have;

The total points scored by Terrence = Y - 20

Comparing the two expressions for the total points scored by Terrence which are;

90·x - 20 and Y - 20 we have;

90·x - 20 = Y - 20

Adding 20 to both sides of the equation gives;

90·x - 20 + 20= Y - 20 + 20

Which gives;

90·x = Y

Therefore, the first term of the expression 90·x - 20, which is 90·x is equal to Y, which is the total points Shelly earned

The correct option is therefore the total points Shelly earned.

Answer:

A. The total points Shelly earned

Step-by-step explanation:

Hope this helps!

Have a great day! :)

Answer:

0.06

Step-by-step explanation:

This is because the 6 is in the hundredths place.

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▹ Answer

0.06 (Hundreths)

▹ Step-by-Step Explanation

The '6' is in the hundreths place. This is written as 0.06. As a fraction, it is written as 6/100.

Hope this helps!

CloutAnswers ❁

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Answer:

108 inches and 2160 inches

Step-by-step explanation:

108 inches = 274.32 cm

180 inches = 457.2 cm

The area of the mural, A1 = 274.32 X 457.2 = 125419.1 cm²

Let the area of the photograph = A2

The scale A1 to A2,

1/12 = A1/A2

1/12 = 125419.1/A2

∴ A2 = 12 X 125419.1 = 1505029.2 cm²

For their lenghs

1/12 = L1/L2

1/12 = 457.2/L2

L2 = 12 X 457.2 = 5486.4 cm (or 2160 inches)

The width of  the photograph

1505029.2/5486.4 = 274.3 cm ( 108 inches)

Answer:

1,120

Step-by-step explanation:

Find the volume of the larger figure. This can be represented using the formula for volume.

V = lwh

V = 5*18*18

V = 1620

Now, find the volume of the cut out piece of the wood. We will subtract this from the larger block.

V  = lwh

V = 5*10*10

V = 500

Subtract, and you will have your answer.

1620 - 500 = 1,120

Answer:

domain = E

range = (-&,&)

Step-by-step explanation: solved by graphing calculator

Answer:

  37.5 mi/h

Step-by-step explanation:

  time = distance / speed

On the trip 'going', the time was (150 mi)/(50 mi/h) = 3 h.

On the return trip, the time was (150 mi)/(30 mi/h) = 5 h.

__

  speed = distance / time

The average speed for the whole trip was ...

  speed = (150 mi +150 mi)/(3 h +5 h) = (300 mi)/(8 h) = 37.5 mi/h

His average rate of speed was 37.5 miles per hour.

Answer:

$1.67

Step-by-step explanation:

Divide 15 by 9 to find the price of one cookie:

15/9 = 1.67

=  approximately $1.67

Answer:

Step-by-step explanation:

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

=[tex](5^{-2}[/tex][tex])^{-2}[/tex] x [tex](4^{-4})^{-2}[/tex]                            ∴[tex](a.b)^{n} =a^{n} .b^{n}[/tex]

=[tex]5^{-2.-2}[/tex] x [tex]4^{-4 . -2}[/tex]                              ∴[tex](a^{n} )^{m}[/tex] = [tex]a^{nm}[/tex] // here m is an exponent of [tex]a^{n}[/tex].

=[tex]5^{4}[/tex] x [tex]4^{8}[/tex]

Answer:

35 cm squared

Step-by-step explanation:

Triangle area = bxh 2 = 5.75 x 8 / 2 = 23

Trapezium Area  = a+b /2 x h = 8 + 4 /2 x 2 = 12

23 + 12 = 35

Hope that helped!!! k

Answer:

x < -6

Step-by-step explanation:

-2x - 4 > 8

-2x > 12

x < -6, you have to flip the inequality when you multiply or divide by a negative

Answer:

a

Step-by-step explanation:

Answer:

The answer is none.

Step-by-step explanation:

Hope this helps....

Have a nice day!!!!

Answer: inertia

Step-by-step explanation:

Inertia is the resistance posed by any physical object to any change which may occur to its velocity. This changes includes  the object's speed, direction of motion e.t.c. An important part of this property is the posibility of the objects to continue to move in a straight line at a constant speed, when no forces has acted upon them.

Answer:

B inertia

Step-by-step explanation:

Edg

Answer:

68

Step-by-step explanation:

Hello, the number is 'ab' meaning that we can write it as 10a +b

For instance 42 = 10*4 + 2

So, a = b - 2

and 10a + b + 10b + a = 154

11(a+b)=154

a+b = 154/11 = 14

We replace a by b - 2

b+b-2 = 14

2b = 14 + 2 = 16

b = 8 and then a = 6

the original number is 68.

Thanks

180 degree

Step-by-step explanation:

supplementary means anhke havinv sum of 180 degree

so sum to two supplemrntary angles is 180 drgree

Supplementary angles always add to 180.

One way I think of it is "supplementary angles form a straight angle", and both the words "supplementary" and "straight" start with the letter "S".

In contrast, complementary angles form a corner. Both "complementary" and "corner" start with "co". By "corner", I mean a 90 degree corner.

Answer:

The answer is

Step-by-step explanation:

The distance between two points can be found by

[tex] \sqrt{ ({x _{1} - x_{2} })^{2} + ({y_{1} } - y_{2} )^{2} } [/tex]

where

( x1 , y1) and ( x2 , y2) are the points

So the distance between (-4,4) and (1,0) is

We have the final answer as

Hope this helps you

Answer: 4

Step-by-step explanation:

Answer:

Step-by-step explanation:

Multiply both sides by 2

We have

2A = (a + b)h

Divide both sides of the equation by h

That's

We have

Move a to the right side of the equation to make b stand alone

We have the final answer as

Hope this helps you

Answer:

Length of the longest side = 17 units

Step-by-step explanation:

Given:

Three sides of triangle

A = 7

B = x+4

C = 2x + 1

Perimeter of the triangle = 36

Find:

Length of the longest side

Computation:

We know that

Perimeter of the triangle = A + B + C

Perimeter of the triangle = 7 + x + 4 + 2x + 1

36 = 12 + 3x

24 = 3x

x = 8

So

Side B = 8 + 4 = 12 unit

Side C = 2(8) + 1 = 17 units

Length of the longest side = 17 units

Answer:

17.

Explaination:

Dunno. I just put it on paper, and did the calculations there.

Answer:

Yes, you are correct.

Step-by-step explanation:

You are substituting the measure of angle x as the measure of angle a since they are congruent to each other.

Answer:

  2

Step-by-step explanation:

The series is a geometric series with a common ratio (r) of 1/2 and a first term (a1) of 1/2^0 = 1. The sum of such a series is given by ...

  S = a1/(1 -r) 1/(1 -1/2) = 2

The sum of the series is 2.

Answer:

4 and 16 units²

Step-by-step explanation:

The perimeter of a square of side s = 4s and area = s² , equating gives

s² = 4s ( subtract 4s from both sides )

s² - 4s = 0 ( factor out s from each term on the left )

s(s - 4) = 0

Equate each factor to zero and solve for s

s = 0

s - 4 = 0 ⇒ s = 4

However, s > 0, thus s= 4

That is side = 4 units and area = 4² = 16 units²

Answer:

p(1)=2-a+4-4

or,10=2-a

so,a=-8

Step-by-step explanation:

hope it helps you

Answer:

i.1832 ii.-56

Step-by-step explanation:

using BODMAS for the first question we solve for what's in the bracket after we go with the division and after multiplication next addition and subtract in doing all that we get

35+25*72-51/17

35+25*72-3

35+1800-3

1835-3

1832

you can also use your calculator to verify answer

ii.-6*9+7-4-5

-54+7-4-5

-47-4-5

-56

Answer:

The answer is A f(x) = -2x + 40

Step-by-step explanation:

it has a negative 2 because the dumps are decreasing by 2 every week and x is the amount of weeks and + 40 because that is the amount you started with.

Answer:

a. 8.5 in.

b. 34 in

c. x = 1/39 x^2.

Step-by-step explanation:

Part a.

x = 1/34 y^2

y^2 = 34x

Comparing with y^2 = 4px where p is the focus:

4p = 34

p = 8.5 in.

Part b.

The diameter = 4p = 34 in.

Part c.

Diameter = 4p = 34 + 5 = 39 in

The new equation is x = 1/39 x^2.

Step-by-step explanation:

x+3/x-2-1-x/x=17/4find the LCM of the denominators (x-2)x=x^2-2x

(x^2-2x)4=4x^2-8x divide the denominator by the LCM and then multiply x to the numerator

(x+3)4=4×+3

(1-x)(4x-8)

1(4x-8)-x(4x-8)

4x-8-4x^2-8x=4x

Answer:

15

Step-by-step explanation:

half of 30 is 15

he used all the numbers upto 30 once

all the numbers in between arent integers but decimals

Answer:

The claim on the M&M’s website is not true.

Step-by-step explanation:

A Chi-square test for goodness of fit will be used in this case.

The hypothesis can be defined as:

H₀: The observed frequencies are same as the expected frequencies.

Hₐ: The observed frequencies are not same as the expected frequencies.

The test statistic is given as follows:

[tex]\chi^{2}=\sum\limits^{n}_{i=1}{\frac{(O_{i}-E_{i})^{2}}{E_{i}}}[/tex]

Here,

[tex]O_{i}[/tex] = Observed frequencies

[tex]E_{i}=N\times p_{i}[/tex] = Expected frequency.

The chi-square test statistic value is, 14.433.

The degrees of freedom is:

df = k - 1 = 6 - 1 = 5

Compute the p-value as follows:

[tex]p-value=P(\chi^{2}_{k-1} >14.433) =P(\chi^{2}_{5} >14.433) =0.013[/tex]

*Use a Chi-square table.

The significance level is, α = 0.05.

p-value = 0.013 < α = 0.05.

So, the null hypothesis will be rejected at 5% significance level.

Thus, concluding that the claim on the M&M’s website is not true.