Which phrase bost describes the translation from the graph y=(x+2)^2 to the graph of
y=x^2 + 3?

Answer:

16

Step-by-step explanation:

Triangle area = (1/2)*b*h

Base = b = 4

Height = h = 8

Area = (1/2) * 4 * 8 =  16

The area of the polygon shown in the figure is 16 unit square.

A polygon is a closed figure made up of three or more line segments connected end to end.

Triangle is a polygon that has three sides and three vertices. It is one of the basic figures in geometry.

The area of the triangle is defined as the product of half the base and the height of the triangle.

The area of the triangle = 1/2 x b x h

WE can see from the given figure;

The Base = b = 4

The Height = h = 8

The Area of figure = (1/2) * 4 * 8

The Area of figure =  16

Hence, the area of the polygon shown in the figure is 16 unit square.

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The midpoint is represented as M and the value of x of the line is x = 4

Given data:

The midpoint of a line segment is a point that lies halfway between 2 points. The midpoint is the same distance from each endpoint.

Measure the distance between the two end points, and divide by 2.

Let V ( x₁ , y₁ ) be the first point

Let W ( x₂ , y₂ ) be the second point

The midpoint between A and B is M ( a , b ) where

a = ( x₁ + x₂ )/2

b = ( y₁ + y₂ ) / 2

The points on the lines are represented by ( 4x - 1 ) and ( 3x + 3 )

So, the points are in same distance from V and W

And, 4x - 1 = 3x + 3

x = 4

Hence, the point x = 3

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Answer:

Step-by-step explanation:

You'll do height by width. Or base by height.

So let's say 6 cubes by 11 cubes.

A = 66.

Others, please correct me if I'm wrong.

Answer:

(3, -7) and (1, 2) are solutions to the equation

Step-by-step explanation:

Simply replace the (x, y ) pair of values in the equation and see if the equality holds:

Pair (0, -8) :

9 (0) + 2 (-8) = -16  therefore this pair is NOT a solution of the equation

Pair (3, -7):

9 (3) + 2 (-7) = 27-14 = 13  therefore this pair IS a solution of the equation

Pair (1, 2):

9 (1) + 2 (2) = 9 + 4 = 13  therefore this pair IS a solution of the equation

Pair (4, -5):

9 (4) + 2 (-5) = 36 - 10 - 26  therefore this pair is NOT a solution of the equation

Answer:

[tex]x=1/2[/tex]

Step-by-step explanation:

[tex]27 = 3^{4x+1}[/tex]

[tex]3^3 = 3^{4x+1}[/tex]

[tex]3=4x+1[/tex]

[tex]2=4x[/tex]

[tex]2/4=x[/tex]

The value of x in the given equation is 1/2

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given is an equation, [tex]27 = 3^{4x+1}[/tex]

Solving for x,

3³ = [tex]3^{4x+1}[/tex]

Therefore,

3 = 4x+1

4x = 2

x = 2/4

x = 1/2

Hence, the value of x in the given equation is 1/2

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Answer:

d) √2/2

Step-by-step explanation:

cos∠E= 5/5√2= 1/√2=√2/2

Correct option is d)√2/2

Answer:

x=100

Step-by-step explanation:

Because they are vertical angles, AEG=FEB

You can see that FED+DEB=FEB

Therefore, 80+20=FEB=100

Since FEB=100 and FEB=AEG

AEG=100

Answer:

100°

Step-by-step explanation:

In this question, vertical angles are key. If you didn't know, vertical angles are basically opposites of each other. A pair of vertical angles are equal.

ACE = 20°

FED = 80°

FED and CEG are vertical angles (+the 20 from ACE), so your answer is 100°

hope this helps, brainliest is appreciated.

Answer:

Step-by-step explanation:

Given

[tex]z(14x -2y)=7[/tex]

Required;

Solve for x, when

[tex]z(14x -2y)=7[/tex]

Divide both sides by z

[tex]\frac{z(14x -2y)}{z} = \frac{7}{z}[/tex]

[tex]14x -2y = \frac{7}{z}[/tex]

Add 2y to both sides

[tex]14x -2y + 2y= \frac{7}{z} + 2y[/tex]

[tex]14x = \frac{7}{z} + 2y[/tex]

Divide both sides by 14

[tex]\frac{14x}{14} = \frac{1}{14}(\frac{7}{z} + 2y)[/tex]

[tex]x = \frac{1}{14}(\frac{7}{z} + 2y)[/tex]

The above expression is the value of x when [tex]z\neq 0[/tex]

To solve for when z = 0, we simply substitute 0 for z

[tex]x = \frac{1}{14}(\frac{7}{z} + 2y)[/tex]

[tex]x = \frac{1}{14}(\frac{7}{0} + 2y)[/tex]

0 cant't divide any number; hence, from the above expression we conclude that

[tex]x = \ u\ n\ d\ e \ f\ i \ n\ e\ d[/tex]

or

x doesn't have a solution

Answer:

10 + 8i

Step-by-step explanation:

noting that i² = - 1

Given

2i(4 - 5i) ← distribute the parenthesis

= 8i - 10i² = 8i - 10(- 1) = 10 + 8i

Answer:

D, 10+8i

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

# of black marbles/ total # of marbles

3/(3+4+5)

3/12

1/4

Answer:

1/4

Step-by-step explanation:

3 black marbles, 4 white marbles and 5 striped marbles. = 12 marbles

P(black) = number of black / total

             =3/12

               =1/4

Answer:

No

Step-by-step explanation:

Because thats the rule of Math

Answer:

A quadrilateral with one pair of parallel sides is a trapezoid. If it has two pairs of parallel sides it is a parallelogram

Step-by-step explanation:

Answer:

[tex]5(x - 2)(x+ 2)(x^2 + 4)[/tex]

Step-by-step explanation:

The expression given is:

[tex]5x^4 - 80\\\\5(x^4 - 16)\\\\5(x^4 - 2^4)\\\\5((x^2)^2 - (2^2)^2)\\\\[/tex]

Difference of two squares:

[tex]5(x^2 - 2^2)(x^2 + 2^2)\\\\5(x - 2)(x + 2)(x^2 + 2^2)\\\\5(x - 2)(x+ 2)(x^2 + 4)[/tex]

The factorized form of the given equation is [tex]5(x-2)(x+2)(x-2)(x+2)[/tex] and this can be determined by using the factorization method.

Given :

[tex]f(x) = 5x^4-80[/tex]

The following steps can be used in order to determine the factors of the given function:

Step 1 - Write the given function.

[tex]f(x) = 5x^4-80[/tex]

Step 2 - Take out 5 as common in the above function.

[tex]f(x) = 5(x^4-16)[/tex]

Step 3 - Now, try to factorize the above function.

[tex]f(x) = 5(x^4-2^4)\\f(x) = 5(x-2)(x+2)(x-2)(x-2)[/tex]

From the above steps, it can be concluded that the correct option is B).

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Answer:

(0, 1)

Step-by-step explanation:

In the picture attached, the question is shown.

From the picture:

Ratio m:n, means that m = 1 and n = 2.

Replacing into the formulas:

x-coordinate = m/(m+n) * (x2- x1) + x1 = 1/3 * (-4 - 2) + 2 = 0

y-coordinate = m/(m+n) * (y2- y1) + y1 = 1/3 * (9 - (-3)) + (-3) = 1

Answer:

0,1

Step-by-step explanation:

Answer:

Question 4. Option C,

Question 5. Option A

Step-by-step explanation:

Question 4.

Take a look at the procedure below;

[tex]34 / 5 = x / 6,\\34 * 6 = 5 * x,\\204 = 5 * x,\\\\x = 40.80\\\\Conclusion - Option C[/tex]

To solve this problem, you could have to cross - multiply, and through simple algebra, isolate x.

Question 5.

If Becky charges an amount per hour per baby, to determine the total amount she would earn, multiply the number of hours by the number of babies taken care of, and multiply that amount by the cost she demands per hour per baby;

[tex]Children = 3,\\Hours = 5,\\Amount Charged = 7,\\\\Profit = 3 * 5 * 7 = 105 Dollars,\\\\Conclusion - Option A[/tex]

Answer:

5.9 your welcome

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

The combination formula is 8! / (8-5)! * 5!

= 8! / 3! * 5!

= 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1/ 3 * 2 * 1  * 5 * 4 * 3 * 2 * 1 (expand)

= 8 * 7 * 6 / 3 * 2 * 1 (5 * 4 * 3 * 2 * 1 cancels on both sides)

= 8 * 7 = 56 (3 * 2 * 1 = 6)

Answer:

D

Step-by-step explanation:

Answer:

[tex]M.A.D = 1[/tex]

Step-by-step explanation:

Given

9, 7, 6, 8, 7, 5

Required

Mean Absolute Deviation

The first step is to calculate the mean of the given data;

[tex]Mean = \frac{\sum{x}}{n}[/tex]

where x = 9, 7, 6, 8, 7, 5 and n = 6

[tex]Mean = \frac{9+ 7+ 6+ 8+ 7+ 5}{6}[/tex]

[tex]Mean = \frac{42}{6}[/tex]

[tex]Mean = 7[/tex]

Subtract mean (7) from each data

[tex]9 - 7 = 2\\7 - 7 = 0\\6 - 7 = -1\\8 - 7 = 1\\7 - 7 = 0\\5 - 7 = -2[/tex]

Return the absolute values of each

[tex]|2| = 2\\|0| = 0\\|-1| = 1\\|1| = 1\\|0| = 0\\|-2| =2[/tex]

Calculate mean of the above absolute values

[tex]Mean = \frac{\sum{x}}{n}[/tex]

[tex]Mean = \frac{2+0+1+1+0+2}{6}[/tex]

[tex]Mean = \frac{6}{6}[/tex]

[tex]Mean = 1[/tex]

Hence, the mean absolute deviation of the given data is 1

Answer:

40 points

Step-by-step explanation:

32 points = 80% or 4/5

if you divide 32 by 4, you get 8+8+8+8=32

that means you need to add 8 to 32 to get the total number of points

Answer:

Independent events

Step-by-step explanation:

They are independent events because by "lands on yellow" and "lands on green", we're assuming that we're doing something like spinning a spinner, because then we're not taking anything and not replacing it. When we're replacing something, then that's an independent event, and by spinning a spinner once, for Event A, and again for Event B, then we're already replacing everything.

Answer: Disjointed

Step-by-step explanation:

The reason why the answer is disjointed is that the events had nothing in common.

Answer:

I believe its 30 different ways.

Step-by-step explanation:

Each different topping can be added  times. so 5 times 6 is 30.

Answer:

Division Property of Equality

Step-by-step explanation:

Hi, the Division Property of Equality states that when we divide both sides of an equation by a non zero number, both sides of the equation stays the same.

In this case, we divide both sides by 9, and the equality remains the same.

9m=180

9m ÷ 9 = 108 ÷ 9.

m = 12

Feel free to ask for more if needed or if you did not understand something.

Answer:

The required number of outcomes is 4 and the last option is correct.

Important information:

From the given tree diagram, it is clear that the total number of outcomes is 6.

The numbers greater than 1 on the spinner are 2 and 3.

The outcomes that result in a number greater than 1 on the spinner are:

heads, 2

heads, 3

tails, 2

tails, 3

Therefore, the required number of outcomes is 4 and the last option is correct.

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Answer: its C

Step-by-step explanation:

Answer: Number 3 is the correct answer.

Step-by-step explanation:

Answer:

0.4032

Step-by-step explanation:

.56% of 72 =0.4032

hope this heps

Answer: The answer is A. (1, 4)

Step-by-step explanation:

Answer:

The error was in step 3

Step-by-step explanation:

The first two steps are correct, the property of addition of internal angles of a triangle that equal [tex]180^o[/tex] is properly used, Also the addition of supplemental angles to total  [tex]180^o[/tex] is also properly used.

In step 3. there is an error. Notice how it should have been done:

[tex]\angle m+\angle n +\angle o=180^o\\\angle o + \angle p = 180^o\\then:\\\angle m+\angle n +\angle o=180^o=\angle o+\angle p\\\angle m+\angle n +\angle o=\angle o+\angle p[/tex]

Answer:

x=8in

Step-by-step explanation:

Let the unknown side=xin

Hypotenuse^2=opposite^2+adjacent^2

Hyp=17in

Opp=xin

Adj=15in

Hyp^2=opp^2+adj^2

17^2=x^2+15^2

17^2-15^2=x^2

289-225=x^2

64=x^2

x=√64

x=8in

Answer:

I’m pretty sure it the third one

Step-by-step explanation: