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geniusboy [140]
3 years ago
10

What is the vertex of g(x)=-3x^2+18x+2? a) (3,-25) b) (-3,-25) c) (3,29) d) (-3,29)

Mathematics
1 answer:
poizon [28]3 years ago
6 0

C). (3, 29) would be your answer.

Explanation?:

Rewrite the equation in vertex form.

y = -3(x - 3)^2 + 29

use the vertex form, y = a(x - h)^2 + k, to determine the values of a, h, and k.

a = -3

h = 3

k = 29

The vertex = (h, k)/(3, 29)

Hope this helps!

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Riding an exercise bike burns 6 calories per min how many calories will a person burn if he/she bikes for 23 1/2 minuets
Vedmedyk [2.9K]

Answer: 141

Step-by-step explanation:

23 1/2 *6=141

8 0
3 years ago
WILL GIVE BRAINLIEST! Find k so that (5, k) is equidistant from (–1, 2) and (3, 0).
pochemuha

Answer:

9

Step-by-step explanation:

So first I created 2 distance forumlas and set them equal to each other

\sqrt{(5+1)^2+(k-2)^2} =\sqrt{(5-3)^2+(k)^2}

then I simplified them

(5+1)^2+(k-2)^2 =(5-3)^2+(k)^2\\

36 + k^2 - 4k +4 = k^2 + 4

-4k + 36 = 0\\

4k = 36

k = 9

when k = 9, the two distances are equal

7 0
4 years ago
Sentence.
Zarrin [17]

Answer:

25

Step-by-step explanation:

We need to set up a system of equations, then solve for the number of board markers.

Let r represent red pens, let b represent board markers.

She has 41 items, so our first equation is r+b=41.

The total cost is $46.30, so our second equation is .55r+1.5b=46.3.

r+b=41

.55r+1.5b=46.3

Let's use substitution.

r+b=41

r=41-b

.55r+1.5b=46.3

.55(41-b)+1.5b=46.3

22.55-.55b+1.5b=46.3

22.55+.95b=46.3

.95b=23.75

b=25

He bought 25 board markers.

6 0
3 years ago
HELPPPP WILL NAME BRAINIEST
qaws [65]

Answer:

Triangle APB is an isosceles triangle ⇒ 3rd answer

Step-by-step explanation:

* Lets explain the how to solve the problem

- ABCD is a square

∴ AB = BC = CD = AD

∴ m∠A = m∠∠B = m∠C = m∠D = 90°

- DPC is equilateral triangle

∴ DP = PC = DC

∴ m∠DPC = m∠PCD = m∠CDP = 60°

- In the Δs APD , BPC

∵ AD = BC ⇒ sides of the square

∵ PD = PC ⇒ sides of equilateral triangle

∵ m∠ADB = m∠BCP = 30° (90° - 60° = 30) ⇒ including angles

∴ Δs APD , BPC are congregant ⇒ SAS

- From congruent

∴ AP = BP

∴ Triangle APB is an isosceles triangle

7 0
3 years ago
Please Help Me! ASAP!
Radda [10]

Answer:

two solutions

Step-by-step explanation: it cant be no solution because no solution will be a vertical line it can be one solution becuase y=x is a solution and so is y=4

6 0
3 years ago
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