Which is the graph of the function f(x) = x2 + 2x + 3?
5
1+
to 4 3 2 1
2 3
4 5 x
-2
-3
3
2

Answer:

a^2 + b^2 = c^2

Step-by-step explanation:

In mathematics, the Pythagorean theorem, also known as Pythagoras' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides.

a^2 + b^2 = c^2

a = side of right triangle

b = side of right triangle

c = hypotenuse

*can only be used for a RIGHT triangle*

( hope i was able to help)

Let's call one triangle ABC, and M the midpoint of AB.

Let's call the other triangle DEF, and midpoint N of DE.

We have a congruent side, AB=DE, congruent medians CM=FN, and congruent angles, ∠AMC=∠DNF

AB ≅ DE  Given

AM ≅ BM and DN ≅ EN    Def median/midpoint

AM+BM=AB  and DN+EN=DE     Segment addition theorem

2AM=2BM=AB and 2DN=2EN=DE   Substitution (eg BM for AM)

AM ≅ BM ≅ DN ≅ EN        Transitivity, algebra

CM ≅ FN   Given

∠AMC ≅ ∠DNF   Given

ΔAMC ≅ ΔDNF     Side Angle Side

AC ≅  DF   CPCTC

∠BMC ≅ ∠ENF   Supplements of congruent angles are congruent

ΔBMC ≅ ΔENF     Side Angle Side

BC ≅  EF      CPCTC

Δ ABC ≅ Δ DEF   Side Side Side

Answer:

15

Step-by-step explanation:

800/8 = 100

sooo.......

120/8 = 15

15/100

hope this helps ! :)

Answer:

Domain: [0, 6]

Step-by-step explanation:

There's a rising slope between 0 and 6 and then it's decreasing for the rest.

I hope this helped and have a good rest of your day!

Answer:

I think it is b. Curve

Step-by-step explanation:

Answer:

65

Step-by-step explanation:

In order to find the area you have to complete a formula for triangles going Area =  1/2 bh ( bh means base time the height height is the 13 and the base is the 10 in the photo.)

Answer:

2(1x1-16)

Step-by-step explanation:

1. Find the gcf (greatest common factor) which is 2

2. Divide by each of the factors and put it inside of the parentheses

Answer:

the numbers in Set A would round to 0

Step-by-step explanation:

Answer: 4x + 6

Step-by-step explanation:

Answer: 4x + 6

Step-by-step explanation:

Y is equal to -50. (y= -50)

Step-by-step explanation: Solve for y

by simplifying both sides of the equation, then isolating the variable.y=−50

Answer:

last one

Step-by-step explanation:

the least is 10. so 10 plus one of the number is always greater than the other number. The max is 62. 62 plus any number is greater than the othe

6 < x < 64

Therefore, option b) is correct.

Step-by-step explanation:

Given :

Two sides of the triangle -- 35 , 29

Solution :

Let y, z and x are the sides of the triangle and given that y = 35 and z = 29.

Then ,

y - z < x < y + z

35 - 29 < x < 35 + 29

6 < x < 64

Therefore, option b) is correct.

For more information, refer to the link given below

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Answer:

to cover this cube she needs at least 1,176 square inches of protective covering.

Step-by-step explanation:

The surface area of a cube is given by the following formula:

surface area cube = 6*l²

While the perimeter of each face of the cube is:

perimeter face = 4*l

Where l is the length of each side of the cube. Applying the data from the problem we have:

56 = 4*l

l = 56/4= 14 inches

surface area cube = 6*(14)²

surface area cube = 6*(196)

surface area cube = 1,176 square inches.

Therefore to cover this cube she needs at least 1,176 square inches of protective covering.

Answer:

"yes" the triangles are similar

the scale factor going from triangle PQR to triangle ZYK is "2"

Step-by-step explanation:

i just did it :3 good luck!

Answer:

"yes" and "2"

Answer:

sqrt d = 10

d = (10)^2

d = 100

Part b

x^2 = 144

x = 12 or -12

Step-by-step explanation:

Answer:

2,493.796 => 2493.8

Step-by-step explanation:

Answer:

2,492.5 mm^2

Step-by-step explanation:

The formula to find the Surface area is 2 pi r^2 + 2 pi r x h

So, 2 pi 14.7^2 + 2 pi 14.7 x 12.3

2 pi 216.09 + 2 pi 180.81

2 x 678.5226 + 2 x 567.7434‬

1,357.0452 + 1,135.4868

2,492.532‬

The surface area of this cylinder is 2,492.5 mm^2

Answer:

-1220703125

Explanation:

The 14th term of the geometric sequence 1 , − 5 , 25 , . . . is (5)¹⁴ after using the geometric sequence formula.

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

It is given that:

The sequence is:

1 , − 5 , 25 , . . .

The above sequence represents a geometric sequence.

Divergent sequences are those in which the terms never stabilize; instead, they constantly increase or decrease as n approaches infinity,

approaching either infinity or -infinity.

The common ratio = -5/1  = -5

The nth term a(n) = arⁿ⁻¹

The first term a = 1

The nth term a(n) = (5)ⁿ⁻¹

Plug n = 14

The 14th term a(14) = (-5)¹⁵⁻¹

The 14th term a(14) = (5)¹⁴

Thus, the 14th term of the geometric sequence 1 , − 5 , 25 , . . . is (5)¹⁴ after using the geometric sequence formula.

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Answer:

1600 ft

Step-by-step explanation:

Answer: 118 feet

Step-by-step explanation:

For a rectangular shape: Area = W × L

450 = 9 × L

450 ÷ 9

L = 50

Perimeter of a rectangular shape = 2L + 2W

Perimeter = (2 × 50) + (2 × 9)

= 100 + 18 = 118 feet

Answer:

$174.05

Step-by-step explanation:

To find the value of the investment at a later date:

[tex]x * multiplier^n = y[/tex]

Here, [tex]x[/tex] is the original amount, [tex]n[/tex] is the number of times the amount compounds and [tex]y[/tex] is the new value.

Let's find the multiplier. Imagine the $125 to be 100%, because that is the full amount of the investment. If you add 18% onto 100%, the result is 118%.

To convert this into a multiplier, you simply divide by 100:

118 ÷ 100 = 1.18

The original amount [tex]x[/tex] in this case is equal to $125, so we can easily substitute that into the equation. We know our multiplier is 1.18. And here, the investment is compounded once per year, and this is over a two year period, meaning the original amount will be compounded twice overall. Therefore, [tex]n=2[/tex].

Finally, we substitute our values into the equation:

[tex]125 * 1.18^2 =174.05[/tex]

This means our final answer is $174.05.

Answer:

multiply 1 1/3 to 3 3/4

Step-by-step explanation:

Answer:

3 2/3

Step-by-step explanation:

If you make the one batch of walnut muffins into a mixed number you get 3 2/3 so that would be how much you would need for the 3 3/4 batches of muffins

Answer:

my answer was B.

Step-by-step explanation:

I chose C and i got it wrong

Answer:

First, the girl walked to the tree. Next, she placed a towel underneath the tree. The, she sat down and took out her book. Finally, the girl took out her food and ate it while reading.

Step-by-step explanation:

It's simple, but it's in a sequence. I dont know if this was related to a passage, if so, could i see it?

Answer:

the answer is (-1, -9)

that is the axis of symmetry

This is an upward-facing parabola the axis of symmetry is a line of the form x = -a that is constant.

Let the point be (x,y)

Case 1: Symmetry with respect to the x-axis

The point becomes (x, -y) as the point flips itself up or down which changes its y coordinate to the negative of whatever it was previously. And no motion is done horizontally so no change in x coordinate.

Case 2: Symmetry with respect to y-axis

The point becomes (-x, y) as the point flips itself left or right which changes its x coordinate to negative of whatever it was previously. And no motion is done vertically so no change in y coordinate.

Case 3: Symmetry with respect to origin

Origin is point at (0,0)

Symmetry with this is a bit ill defined. We use a slant line as if its a diagonal of a square.

The point is reflected to its diagonally opposite quadrant to whatever coordinate it belongs to.

Since diagonally opposite reflection causes both x and y axis to become negative of what it was before, thus,

The point becomes (-x,-y)

The axis of symmetry is where the left side is the mirror image of the right side.

Since this is an upward-facing parabola the axis of symmetry is a line of the form x = -a that is constant.

It will be the x coordinate of the vertex

x = 1

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Answer:6/11

Step-by-step explanation:

The probability of spinning a 1 and flipping a heads is given by the equation A = 1/10

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

Probability = number of desirable outcomes / total number of possible outcomes

The value of probability lies between 0 and 1

Given data ,

Let the probability of spinning a 1 and flipping a heads be A

Now , the equation will be

The total number of values in the spinner = { 1 , 2 , 3 , 4 , 5 }

So , the number of possible outcomes = 5

The probability of spinning a 1 = 1 / number of possible outcomes

Substituting the values in the equation , we get

The probability of spinning a 1 = 1/5

The number of outcomes for flipping a coin = { heads , tails }

Now , the probability of flipping a head = 1/2

So , the probability of spinning a 1 and flipping a heads A = probability of spinning a 1 x probability of flipping a head

Substituting the values in the equation , we get

The probability of spinning a 1 and flipping a heads A = ( 1/5 ) ( 1/2 )

On simplifying the equation , we get

The probability of spinning a 1 and flipping a heads A = 1/10

The probability of spinning a 1 and flipping a heads A = 0.1

Hence , the probability is 1/10

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Answer: 292

Step-by-step explanation:

The formula is: [tex]a_n=a_1+(n-1)d[/tex]

Where;

[tex]a_n=[/tex] [tex]n^t^h[/tex] term or the term we're trying to find.

[tex]a_1=[/tex] First term

[tex]d=[/tex] Common difference.

To find the common difference, take [tex]a_2-a_1[/tex], or [tex]a_3-a_2[/tex] or [tex]a_4-a_3[/tex]

4-(-2)=?

4+2=?

6 -> this is our common difference

---------------------------------

10-4=?

6 -> this is our common difference

--------------------------------

16-10=?

6 -> this is our common difference

------------------------------------------------------------

Knowing this, we plug into the formula the number we're trying to find.

[tex]a_n=a_1+(n-1)d\\a_5_0=-2+(50-1)6\\a_5_0=-2+(49)6\\a_5_0=-2+294\\a_5_0=292[/tex]

Answer:

C. 292

Step-by-step explanation:

526.36 rounded will be =

= 530