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sweet-ann [11.9K]
2 years ago
13

Consider the quadratic function:

Mathematics
1 answer:
sdas [7]2 years ago
8 0

Answer:

Step-by-step explanation:

I'm not sure how you are finding this in class, but the easiest way by far is to use the expressions for h and k:

h=\frac{-b}{2a}  and

k=c-\frac{b^2}{4a}

(Just a fun fact:  Those expressions come from the quadratic formula that help us to factor a quadratic equation.)

Filling in for h:

h=\frac{-(-8)}{2(1)}  simplifies to

h = \frac{8}{2}=4

Filling in for k:

k=-9-\frac{(-8)^2}{4(1)}  which simplifies a bit to

k=-9-\frac{64}{4}  which simplifies a bit more to

k=-9-16=-25

The vertex, then, is (4, -25).

You would also find this if you completed the square.  But again, I'm not sure how you're solving for the vertex in class.

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Regular pentagon RSTUV has sides that are half the length of regular pentagon JKLMN.
Andrew [12]

Answer:

c

Step-by-step explanation:

7 0
2 years ago
Which sign should be used in the circle below so that the value of the expression is 2? [4+8×3]÷(16○2)
sashaice [31]

Answer:

a subtraction sign belongs in the circle

Step-by-step explanation:

[4+8×3]÷(16-2) is:

[(4+24) ÷ 14] = 28/14 = 2

5 0
3 years ago
In the figure below, ∠DEC ≅ ∠DCE, ∠B ≅ ∠F, and segment DF is congruent to segment BD . Point C is the point of intersection betw
Rzqust [24]

Answer:

Step-by-step explanation:

Given:

∠DCE ≅ ∠DEC

∠B ≅ ∠F

DF ≅ BD

To prove:

ΔABC ≅ ΔGFE

Solution:

                  Statements                            Reasons

1). ∠DCE ≅ ∠DEC                                1). Given

2). ∠ACB ≅ ∠GEF                               2). Vertically opposite angles to the

                                                                 congruent angles.

3). ∠B ≅ ∠F                                         3). Given

4). DB ≅ DF                                         4). Given

5). DC + CB ≅ DE + EF                       5). Segment addition postulate

6). DC ≅ DE                                        6). Property of isosceles triangle

7). CB ≅ EF                                         7). Transitive property

8). ΔABC ≅ ΔGFE                              8). ASA property of congruence

4 0
2 years ago
Can someone tell me how to solve this?
Pachacha [2.7K]

Answer:

The answer to your question is:

a) sin Ф = -3/√10

b) cos Ф = 1/√10

c) tan Ф = -3

Step-by-step explanation:

See the picture below

just remember

sin Ф = opposite / hypotenuse

cos Ф = adjacent / hypotenuse

tan Ф = opposite / hypotenuse

8 0
3 years ago
Read carefully and choose the name of the student who made the correct statement ..... HELPPP
juin [17]

Answer: pretty sure lily is right

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
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