Which of the following are identities? Check all that apply.

Answer:

Hey there!

First, we want to find the side length of the large triangle.

1/2bh=y cm^2

bh=2y cm^2

Since b and h are the same here, we have b^2= 2y, [tex]b=\sqrt{2y}[/tex].

And we have FC=[tex]\frac{\sqrt{2y} }{2}[/tex].

Area of shaded triangle: [tex]\frac{1}{2} (\frac{\sqrt{2y} }{2})(\frac{\sqrt{2y} }{2})[/tex].

This is equal to: [tex]\frac{1}{2}(\frac{2y}{4})[/tex], or y/4.

Let me know if this helps :)

Answer:

D

Step-by-step explanation:

The expression is equivalent to [tex]\rm \frac{2 \sqrt2}{x^3}[/tex]. Option D is correct.

What is the definition of a fraction number?

A fraction number is a number that represents a portion of a larger number, where the larger number might be any integer. It has the shape of a numerator and a denominator.

The given expression is;

[tex]\rm \sqrt {\frac{8}{x^6}}[/tex]    x>0

The square root of 8 is 2√2 and x⁶ is x³.

The expression is equivalent to [tex]\rm \frac{2 \sqrt2}{x^3}[/tex].

Hence, option D is correct.

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Answer:

$11.57

Step-by-step explanation:

First, find the total amount they need to pay.

Add the bill for lunch and the tip amount.

bill + tip

The bill was $29.46 and the tip was $5.25

$29.46 + $5.25

$34.71

The total amount with tip is $34.71

Next, find the amount each person should pay.

They want to divide the amount equally. There are 3 total people ( Jack + 2 friends = 3 people). Divide the total ($34.71) by 3.

$34.71 /3

$11.57

Each person should pay $11.57

======================================================

Work Shown:

x = year

y = amount of hydrocarbon emissions in grams, per mile driven

m = rate of change = slope

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

m = (0.8 - 3.4)/(2007 - 1972)

m = -2.6/35

m = -0.0742857 approximately

The approximate rate of change is about -0.0742857 grams per year. The negative rate of change indicates the per mile hydrocarbon amount has gone down by about 0.0742857 grams each year.

Answer:

41

Step-by-step explanation:

BDA = DBC+CBA

84=5x+3 + 6x-7

Combine like terms

84 = 11x-4

Add 4 to each side

84+4= 11x -4+4

88 =11x

Divide each side by 11

88/11 = 11x/11

8 = x

We want angle  ABC

ABC = 6x-7

       =6*8 -7

      =48-7

     =41

Answer:

∠ABC   = 41°

∠ DBC  = 43°

Step-by-step explanation:

6x-7 + 5x+3 = 84

6x + 5x = 84 - 3 + 7

11x = 88

x = 8

∠ABC   = 6x-7

           = 6*8 - 7

           = 48 - 7

           = 41°

∠ DBC = 5x + 3

           = 5*8 + 3

           = 40 + 3

            = 43°

If it's up then add then up , or you can trace it and move it up with paper.

Answer:

U'(-3, 1), M'(-1, 4), L'(-2, 0)

Step-by-step explanation:

To do a translation of 5 units up, add 5 to the y-coordinate of each point.

U(-3, -4) ----> U'(-3, -4 + 5) = U'(-3, 1)

M(-1, -1) ----> M'(-1, -1 + 5) = M'(-1, 4)

L(-2, -5) ----> L'(-2, -5 + 5) = L'(-2, 0)

Answer: The translated points are U'(-3, 1), M'(-1, 4), L'(-2, 0)

Answer:

[tex]\Huge \boxed{-14 + 2i}[/tex]

Step-by-step explanation:

(3 – 4i)(–2 – 2i)

Expanding brackets.

3(-2 - 2i) - 4i(-2 - 2i)

-6 -6i + 8i + 8i²

Apply imaginary number rule : i² = -1

-6 - 6i + 8i + 8(-1)

-6 - 6i + 8i - 8

Combining like terms.

-6 - 8 - 6i + 8i

-14 + 2i

Answer:

5 dias

Step-by-step explanation:

10/2= 5

Answer:

Tardarán:

5 días

Step-by-step explanation:

Se trata de una regla de tres:

2 obreros son a 10 días

4 obreros son a W días

W = 10*2/4

W = 5  

Answer:

121

Step-by-step explanation:

5 Raise to the power of 3

125-4=

121

Answer:

Step-by-step explanation:

121 simplify the equation

Answer:

36 * 3 - 12 * 6 * 1 = 36

Step-by-step explanation:

36 * 3 - 12 * 6 * 1 = 36

Answer:

Solution : (36, 42)

Step-by-step explanation:

It mention that the image is dilated by a scale factor of 6, and hence we will have to multiply each coordinate by 6 to receive the dilated point. Here we only want the dilation of point B,

B' = (6 [tex]*[/tex] 6, 7 [tex]*[/tex] 6) = (36, 42)

If quadrilateral ABCD is dilated by a scale factor of 6, then the coordinates of point B' are (36, 42).

Answer:   -21x + 5y = 9

Step-by-step explanation:

The standard form says that  Ax + By=C  

So to covert y = 4.2x + 1.8 into  subtract 4.2 from both sides.

    y = 4.2x + 1.8

-4.2x   -4.2x

-4.2x + 1y = 1.8       Now it is written in standard form and to make the decimals integers we will multiply both sides by 10.

-4.2x(10) + 1y(10) = 1.8(10)

-42x + 10y = 18  which reduces to -21x + 5y = 9

Step-by-step explanation:

angle ACB=75° (being inscribed angle)

Angle BCD=105° (sum of straight line)

angle BCD + angle BQD=180° (opposite angle of quadrilateral inscribed in circle is supplemetry)

105° + x =180°

x= 75°

Answer:

the answer is 150 days

Step-by-step explanation:

that is the answer

Answer:

do as direct

which one of the following is square of 4

2

8

16

64

Answer:

36 inches

Step-by-step explanation:

1 yard = 3 feet = 3*12 inches = 36 inches

1 yard = 36 inches

Answer:

Ali's heart rate is 135 times per minute.

Step-by-step explanation:

Let Ali's heart rate be denoted by x times per minute.

It is provided that Ben's heart beats 18 times per minute more than Ali.

The ratio of their heart rates was 15:17.

That is:

[tex]\frac{15}{17}=\frac{x}{x+18}[/tex]

Solve for x as follows:

[tex]\frac{15}{17}=\frac{x}{x+18}[/tex]

[tex]15(x+18)=17x\\15x+270=17x\\2x=270\\x=135[/tex]

Thus, Ali's heart rate is 135 times per minute.

Answer:

x = 15 and y = 30

Step-by-step explanation:

We see that 4x + 15 + 5x + 30 = 180.

We can solve for x:

9x + 45 = 180

9x = 135

x = 15.

We also see that 5x + 30 is equal to 3y + 15, so we can solve for y:

5x + 30 = 3y + 15

5 (15) + 30 = 3y + 15

3y = 75 + 30 - 15

3y = 90

y = 30.

Answer:

4

Step-by-step explanation:

First, substitute x for 3 and simplify

(9 + 8) - (6 + 7)

Simplify again

17 - 13

Simplifly once more

4

answer 4

method: if x=3

Sol (3(3)+8) - (2(3)+7) changed x=3

Then multiply =(9+8) - (6+7)

Add and subtract = 17-13

Then subtract and you will have your answer =4

Hope it helped

Please mark brainliest :)

Answer:

Brainliest!

Step-by-step explanation:

1/3 is going to be like

1^2

------

3^2

= 1/9

Answer:

3140

Step-by-step explanation:

If they made 314 kilometers per day and they worked for 10 days, multiply:

[tex]314*10=3140[/tex]

The total length of the road is 3,140 kilometers.

Answer:

1st or each day=314km

Let x in km be the total km for 10 days

10=x

>314×10=x

X=3140km

Therefore, for 10days, the road constructed was 3140km

Answer:

Lines p and t are parallel, so the alternate exterior are congruent; x = 130

Step-by-step explanation:

hope you like it it :) god bless you all

we love cheating in iready :3

The correct answer is 2. Lines q and r are parallel, so the interior angles are supplementary; x = 130

The types of transversal angles are as follows

Option 1. is incorrect because Lines p and t are not parallel

Option 3 is incorrect because alternate exterior angles is x= 130°

Option 4 is incorrect  because x is not corresponding angle to 50°

Hence , Option 2 is correct and rest options are incorrect.

Learn more about transversal here

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Answer:

$0.50

Step-by-step explanation:

Suppose that a person  bought  six T-bone steaks that cost $15.99 per pound

The weight that is listed on the package is 5.77 pounds.

The scale that weighed the package is accurate to within 1/32 pound

Let assume x is the range of the  weight listed on the package,

Then:

[tex]|x-5.77| \leq \dfrac{1}{32} \ --- \ (1)[/tex]

Using the method of absolute value inequality;

[tex]- \dfrac{1}{32} \leq x -5.77 \leq \dfrac{1}{32}[/tex]

[tex]5.77- \dfrac{1}{32} \leq x \leq \dfrac{1}{32}+ 5.77[/tex]

[tex]5.77- 0.03125\leq x \leq 0.03125+ 5.77[/tex]

[tex]5.73875 \leq x \leq 5.80125[/tex]

The amount per kilogram undercharged or overcharged is :

[tex]=\dfrac{1}{32} \times 15.99[/tex]

= $0.50

Answer:

262

Step-by-step explanation:

3(90) - 8 = x

270-8 = x

262 = x

Answer:

  B

Step-by-step explanation:

The lowest price in column 2 is $1.95 per loaf, at store B.

Answer: 48.75

Step-by-step explanation:

Answer:

The answer is 11

Step-by-step explanation:

got `100%

Answer:

18.25

Step-by-step explanation:

Add 5.50 and 12.75

5.50 + 12.75 = 18.25

Answer: 18.25

Step-by-step explanation:

Answer:

Altitude

Step-by-step explanation:

A segment from a vertex of a triangle at right angles to the opposite side is an altitude.

Thus AB is an Altitude

Answer:

Step-by-step explanation:

The question lacks Allen's workings. Find it below.

Step Work Reasoning

−8.3 + 9.2 − 4.4 + 3.7 Original problem

1 −8.3 + 9.2 + 4.4 + 3.7 Additive inverse

2 −8.3 + 4.4 + 9.2 + 3.7 Commutative property

3 −8.3 + (4.4 + 9.2 + 3.7) Associative property

4 −8.3 + 17.3 Simplify

5 9 Simplify

Given the equation −8.3 + 9.2 − 4.4 + 3.7, to solve this we are going to be using different properties.

Given three values A, B and C, the following are true:

A-B = A+(-B) Additive inverse

(A+B)+C = A+(B+C) Commutative property

Applying this laws to correct Allen's calculation

Original problem

−8.3 + 9.2 − 4.4 + 3.7

Applying the additive inverse property

−8.3 + 9.2 +(− 4.4) + 3.7 {since product of plus and minus sign still gives a minus sign)

Rearranging the equation based on signs according to the associative property we will have:

−8.3 +(-4.4) + 9.2 + 3.7

Using the commutative property to separate the positive variables from negative variables will give:

{−8.3 +(-4.4)} + {9.2 + 3.7}

Since {−8.3 +(-4.4)} + {9.2 + 3.7} = {9.2 + 3.7} + {−8.3 +(-4.4)}

Simplify the expressions in parenthesis:

= {−8.3 +(-4.4)} + {9.2 + 3.7}

= (-8.3-4.4)+(9.2+3.7)

= (-12.7)+(12.9)

= 0.2

From the above calculation, it can be seen that Allen made an error while using the additive inverse property in his first step. He should not have removed the minus sign. The negative sign was removed from step 1 which makes the remaining steps of his calculation to be wrong. Instead of replacing -4.4 directly with +4.4 he should have used the additive inverse property by replacing -4.4 with +(-4.4).

Answer:

but like can you tell us where he did it wrong