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trasher [3.6K]
2 years ago
8

Find the vertex of the function h(x) = x2 – 4x – 21

Mathematics
1 answer:
lakkis [162]2 years ago
7 0

Answer: (2, -25)

Step-by-step explanation:

The x coordinate of the vertex is x=-\frac{-4}{2(1)}=2.

When x=2, h(2)=2^2 - 4(2)-21=-25.

So, the vertex is (2, -25).

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I need help on this someone please answer this.
Crank

Answer:

60! Add em all up

Step-by-step explanation:

7 0
3 years ago
8. Find the congruence transformation that maps ∆ABC to ∆A’B’C’. Explain your reasoning
puteri [66]
The transformation is a reflection on the y-axis. 

If we take the y-axis as the mirror line as shown in the diagram below, we can see that the distance of vertices A, B, and C to the mirror line are equals to the distance of vertices A', B' and C' to the mirror line. 

6 0
3 years ago
(Multiying by a unit fraction. Find the product mentally. (5.6) × 1/8=
Ipatiy [6.2K]

Step-by-step explanation:

(5.6) × 1/8

(5.6)  \cdot   \frac{1}{8}

Here the unit fraction is 1/8

multiply 5.6 times 1

so its 5.6. then divide the decimal by 8

we know that 8 times 7 is 56

so 56 divide by 8 is 7

we have decimal point 1 number to the left

so we move decimal point 2 place left

Hence 5.6 divide by 8 is 0.7

(5.6)  \cdot   \frac{1}{8}=0.7

Answer: 0.7

6 0
3 years ago
HELP! ASAP!<br> What is the measure of ∠A?<br><br><br> What is the measure of ∠B?
olganol [36]
The opposite angles of a parallelogram are equal.
Therefore
m∠A = m∠C, so that
5y - 3 = 3y + 27
Subtract 3y from each side.
5y - 3y - 3 = 3y - 3y + 27
2y - 3 = 27
Add 3 to each side.
2y - 3 + 3 = 27 + 3
2y = 30
y = 30/2 = 15

Therefore
m∠A = 5*15 - 3 = 72°
m∠C = 72°

Let x = m∠B
Then x = , m∠B = m∠C
Because the sum of the angles in the parallelogram is 360°, therefore
x + x + 72 + 72 = 360
2x = 360-144 = 216
x = 216/2 = 108

Answer:
m∠A = 72°
m∠B = 108°

3 0
4 years ago
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laiz [17]
Convert is your answer .-.
4 0
3 years ago
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