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iren [92.7K]
3 years ago
5

The vertices of the triangle is A(-2,4), B(1,2), C(-2,-2)

Mathematics
1 answer:
spin [16.1K]3 years ago
5 0
See description in the pic.

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The table shows some values of a function of the form y = ax2 + bx + c.
natali 33 [55]

Answer:

Value of constant term c is (-4)

Step-by-step explanation:

The given table represents a function which is in the form of a quadratic equation,

y = ax² + bx + c

We choose three points (3, -10), (4, -16) and (5, -24) from the table and satisfy the equation to get the values of a, b, and c.

For point (3, -10)

-10 = a(3)² + 3b + c

9a + 3b + c = -10 -------(1)

For point (4, -16)

-16 = a(4)² + 4b + c

16a + 4b + c = -16 ------(2)

For point (5, -24)

-24 = a(5)² + 5b + c

25a + 5b + c = -24 -----(3)

Equation (1) - equation (2)

(9a + 3b + c) - (16a + 4b + c) = -10 + 16

-7a - b = 6

7a + b = -6 ------(4)

Equation (2) - equation (3)

(16a + 4b + c) - (25a + 5b + c) = -16 + 24

-9a - b = 8

9a + b = -8 -------(5)

Equation (4) - Equation (5)

(7a + b) - (9a + b) = -6 + 8

-2a = 2

a = -1

From equation (4),

-7(1) + b = -6

b = -6 + 7

b = 1

From equation (1)

9(-1) + 3(1) + c = -10

-9 + 3 + c = -10

c = -10 + 6

c = -4

Therefore, the value of constant term c is (-4).

5 0
3 years ago
F ( x ) = 5 ( 2 − x ) , what is the value of f ( − 8 )
Pepsi [2]

Answer:

50

Step-by-step explanation:

solved

7 0
2 years ago
A sample of 30 11th graders were asked to select a favorite pattern out of 6 choices. The following display shows what their fav
MrRissso [65]

Answer:

C

Step-by-step explanation:

It looks to me possibly C

hope it helps you

3 0
3 years ago
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What is 3/8 divided by 4/1
Leviafan [203]
3/32 hope this helps ig
5 0
3 years ago
Help please, I don’t know the answer
Mila [183]

Answer:

-6 and 6

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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