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3 years ago

Plot the vertex of f(x) = (x − 2)2 + 2. PLEASE HELP ME IM UPSET

Mathematics

1 answer:

8090 [49]3 years ago

3 0

<h3>Answer: The vertex is located at (2, 2)</h3>

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Explanation:

The general vertex form is

y = a(x-h)^2 + k

When we compare the function your teacher gave you to this template, then we see that

a = 1
h = 2
k = 2

The vertex is therefore (h,k) = (2,2)

The value of 'a' has no role in the vertex's location. This value determines how vertically stretched or compressed the parabola will be. Also, it determines if the parabola opens upward or downward (a > 0 for upward; a < 0 for downward).

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What are the coordinates of side HI? (–8, 1) and (–4, –3) (–4, 7) and (–2, 5) (1, –8) and (–3, –4) (7, –4) and (5, –2)

Fynjy0 [20]

Answer:

Step-by-step explanation:

the answer is b defenitly

4 0

3 years ago

Given: KPST is a trapezoid, KP=ST, MN is a midsegment, MN=20, h=15, PS:KT=3:7 Find: KS and KP

lions [1.4K]

Answer:

Length of KS = 25 units and

Length of KP = 17 units.

Step-by-step explanation:

Given: KPST is a trapezoid, KP =ST, MN is a mid segment, h is the height =15

Also it is given that, MN = 20 , h = 15 and PS:KT = 3:7.

If two sides of the trapezoid are equal then, it is an isosceles trapezoid.

Mid-segment of a trapezoid is a line segment which connects the midpoints of the non-parallel sides.

A trapezoid mid segment connects the midpoints of two congruent sides of the trapezoid and is parallel to the pair of parallel sides.

Length of the mid segment is the sum of two bases divide by 2

Since, the length of Mid-segment MN = 20.

Also, it is given: PS:KT = 3:7

Let PS = 3x and KT = 7x respectively.

then;

$\frac{PS+KT}{2} = 20$

$\frac{3x+7x}{2} = 20$

$\frac{10x}{2} =20$

On Simplify, we get;

5x =20

Divide both sides by 5 we get;

x =4

Then:

Length of base PS = 3x = 3(4) = 12 and Length of base KT = 7x = 7(4) = 28.

Now, In triangle PLK

Using Pythagoras theorem to find KP;

It is given here, PL =h =15 and KL= 8 {you can see in the figure as shown below};

$KP^2= PL^2 + KL^2$

$KP^2 = 15^2+8^2 =225 +64 = 289$

$KP = \sqrt{289}$

Simplify:

KP = 17

therefore, the length KP = 17 units

To, construct a line: Join K and S

Now, in triangle KRS

KR = KL +LR = 8 +12 =20 and SR = h= 15

Using Pythagoras theorem in KRS to find KS;

$KS^2 = SR^2+KR^2$

$KS^2 = 15^2 + 20^2 = 225 + 400 = 625$

$KS = \sqrt{625}$

On simplify:

KS = 25

Therefore, the length of KS is, 25 units.

4 0

3 years ago

As the student council treasurer, you prepare the budget for your class rafting trip. Each large raft

Klio2033 [76]

Answer:

10 small rafts

Step-by-step explanation:

(1600- 1200) / 40 = 10

1600- 1200 = 400

400 / 40 = 10

12 large rafts costs $1200 so subtract that amount from you budget. If you do that you will have $400 left. So I divided $400 by the amount of money each small raft cost whitch was $40 per small raft so i got the quotient of 10.

Sorry if i worded that weirdly but you get the point.

P.s sorry if it isn't comlety correct but i did my best so... ya

4 0

3 years ago

Please help me with this question! Will give brainliest!

MissTica

Answer:

D) 2/3 x - 8

E) -4x + 11

Step-by-step explanation:

y ∈ R | -∞ < y < ∞ just means that the range for y is all real numbers in a function. For y to be all real numbers, the function, when graphed, has to have no top or bottom limit. The only graphs without top or bottom limits are D and E.

A has a bottom limit

B has a bottom limit

C has a top limit

4 0

3 years ago

不是我要的 营养分, 一、加; 的 第一 年11 在公司 16 115 更多 11 ( - 日) 上海

ludmilkaskok [199]

Answer:

您能再解釋一下嗎，謝謝

Step-by-step explanation:

3 0

3 years ago