Triangle Sum Theorem Review The following is a review of an important theorem from first semester. Please complete problems 2-4 and submit. Problem 1 is done for you to model the theorem as a review.

9514 1404 393

Answer:

  (d)  x = 3

Step-by-step explanation:

The "vertex form" of the equation of a parabola is ...

  y = a(x -h)² +k

In this form, the vertex has coordinates (h, k).

Comparing the form to your equation, you see that h=3, k=4, so the vertex is (h, k) = (3, 4).

The line of symmetry is a vertical line through the vertex. It will have the same x-value as the x-coordinate of the vertex:

  x = 3

_____

In short, the equation of the line of symmetry has its constant equal to the opposite of the value added to x. Here, the added constant is -3, so the line of symmetry is x=3.

The values h and k in the vertex-form equation represent the amount of translation right and up from the parent function graph. When the graph is translated 3 units to the right, the line of symmetry moves from x=0 to x=3.

Answer:

4 to the 5th power (4^5)

Answer:

Answer is 142 hope it helps

Answer:

you would add 25, 130,55, and 40 all together and than get ur answer

Step-by-step explanation:

Answer:

48.14= $58.25

$97.92= 81.27 euro

Step-by-step explanation:

Giving the following information:

1 Euro is currently valued at 1.21 U.S. Dollars.

First, we need to calculate the dollar value of 48.14 euros.

Proportion equation used for answer below: 1e= 1.21d

48.14*1.21= $58.25

Now, the euro value of 97.72 dollars.

Proportion equation used for answer below: (1:1.21) 0.83

1 dollar equals 0.83 euro.

97.92*0.83= 81.27 euro

Answer:

Area = 1808.64 cm

Step-by-step explanation:

Circumference of a circle = 2πr

Circumference = 150.72

π = 3.14

r = radius

150.72 = 2 x 3.14 x r

150.72 = 6.28 r

r = 150.72/6.28

r = 24cm

Radius = 24

Area of a circle = πr²

Area = 3.14 x 24²

Area = 3.14 x 576

Area =1808.64 cm

Answer:

1808.64 cm

Step-by-step explanation:

tried it on khan and it worked

Step-by-step explanation:

1)

4n+1=17

4n=16

n=4

2)

17=3x+2

3x=15

x=5

3)

5y-10=40

5y=50

y=10

Answer:

20% of 1kg.(1000g)

20/100×1000g

200g

Answer:

(2 x 4) - 8

Step-by-step explanation:

Answer:

a) the ratio is 9:4

b) Hilda did save $16.

Step-by-step explanation:

Let's define the variables:

C = Cheryl's savings.

H = Hilda's savings.

We know that:

(1/3)*C = (3/4)*H

We also know that Cheryl saved $36, then we have:

C = $36

Now we can replace that in the above equation to get:

(1/3)*$36 = (3/4)*H

$12 = (3/4)*H

$12*(4/3) = H = $16

Then Hilda did save $16.

And the ratio between of Cheryl's savings to Hilda's savings is:

36 : 16

We can simplify this if we divide both by 2.

(36/2) : 16/2

18 : 8

Again, we can divide both by 2:

(18/2) : (8/2)

9 : 4

Then the ratio is 9 : 4

Answer:

C. 21π cm³

Step-by-step explanation:

Use volume formula for cone

[tex]V = \pi r^{2} \frac{h}{3}[/tex]

r = 3cm

h = 7cm

[tex]V = \pi (3)^{2} * \frac{7}{3}[/tex]

[tex]V = \pi 9 * \frac{7}{3}[/tex]

[tex]V = \pi \frac{63}{3}[/tex]

[tex]V = 21 \pi[/tex]

Answer:

C

Step-by-step explanation:

credit goes to the person up top

Answer:  8x+10

-1

Step-by-step explanation:

Answer:

P = A / (1 + r/100)ᵗ

Step-by-step explanation:

A = P(1 + r/100)ᵗ

We can make P the subject of the above expression as follow:

A = P(1 + r/100)ᵗ

Divide both side by (1 + r/100)ᵗ

P = A / (1 + r/100)ᵗ

Therefore, making P the subject of

A = P(1 + r/100)ᵗ, we have

P = A / (1 + r/100)ᵗ

Answer:

nose

Step-by-step explanation:

perdno

Answer:

Language arts

Step-by-step explanation:

Answer:

A (2, 4)

B (-6, 4)

C (-6, 2)

D (2, 2)

Step-by-step explanation:

If it is being reflecting across the y-axis, the rule is this:

(x, y) ---> (-x, y)

So...

A (-2, 4) ---> (2, 4)

B (6, 4) ---> (-6, 4)

C (6, 2) ---> (-6, 2)

D (-2, 2) ---> (2, 2)

Answer:

5x - 2y

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Algebra I

Step-by-step explanation:

Step 1: Define

4(2x - y) - 3x + 2y

Step 2: Simplify

Answer:

He would have 2.75 gallons left after 5 hours.

Step-by-step explanation:

Answer:

factor using 12 (gcf)

12(5x-2)

Answer:

Okay, I think the easiest way to approach this problem is to first convert the mixed fractions to irregular fractions:

8

1

8

=

8

⋅

8

+

1

8

=

65

8

7

2

5

=

7

⋅

5

+

2

5

=

37

5

We want the total number of miles, so our equation is:

distance=

65

8

+

37

5

The LCD of 5 and 8 is 5*8=40, so:

distance=

325

40

+

296

40

distance=

621

40

=

15

21

40

miles.

Hope this helps!

Step-by-step explanation:

Answer:

m= 4

b= -12

( 4, -12)

Step-by-step explanation:

m= y2- y1/ x2-x1

m= 12 - 4/ 4 - 2

m= 8/ 2

m= 4

y= 4x + b

(2,4)

4= 4(4) + b

4= 16 + b

-16+4= b

-12= b

b= -12

Answer:

[tex]\displaystyle r = \sqrt{10}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Geometry

Algebra II

Step-by-step explanation:

Step 1: Define

Center (2, -3) → x₁ = 2, y₁ = -3

Circumference point (-1, -2) → x₂ = -1, y₂ = -2

In this case, the distance d from the center to the circumference point would be the radius r of the circle.

Step 2: Find Radius r

Answer:

first is 12÷3=4 .....second is 3+4=7 .......third is 3×7=21.............fourth is 21-4=17

Step-by-step explanation:

hope this help

Answer:

[tex]t = \frac{1}{4}\sqrt d[/tex]

Time to reach 100ft is 2.5 seconds

Step-by-step explanation:

Given

[tex]d = 16t^2[/tex]

Solving (a): Determine the inverse function

[tex]d = 16t^2[/tex]

Swap the positions of d and t

[tex]t = 16d^2[/tex]

Make d the subject

[tex]\frac{t}{16} = d^2[/tex]

Take positive square root of both sides

[tex]\sqrt{\frac{t}{16}} = d[/tex]

[tex]d = \sqrt{\frac{t}{16}}[/tex]

[tex]d = \frac{1}{4}\sqrt t[/tex]

Swap the positions of d and t

[tex]t = \frac{1}{4}\sqrt d[/tex] --- The inverse function

Solving (b): Find t when d =100

Substitute 100 for d in [tex]t = \frac{1}{4}\sqrt d[/tex]

[tex]t = \frac{1}{4}\sqrt {100[/tex]

[tex]t = \frac{1}{4}* 10[/tex]

[tex]t = \frac{1* 10}{4}[/tex]

[tex]t = \frac{10}{4}[/tex]

[tex]t = 2.5[/tex]

Answer:

ramon is the shortest

ryan is the tallest

carmen is taller than ramon

carmen is shorter than ricardo

carmen is shorter than ryan

ryan is taller than ricardo

Answer:

option a 21 is the right answer

Step-by-step explanation:

7/12.36

12 into 3 is 36

so 12 1's are and 12 3's are

now it'll become 7 into 3

which is 21

therefore 21 is the answer

Answer:

y = 125

Step-by-step explanation:

Given that,

y is directly proportional to x² i.e.

[tex]y=kx^2[/tex]

k is a constant of proportionality

Put y = 20 and x = 2 in the given equation to find k.

[tex]k=\dfrac{y}{x^2}\\\\k=\dfrac{20}{(2)^2}\\\\k=5[/tex]

Now put k = 5 and x = 5 in the given equation to find y.

[tex]y=5\times (5)^2\\\\y=125[/tex]

So, the value of y is equal to 125.

Answer:

.

Step-by-step explanation: