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anygoal [31]
3 years ago
6

Find the area of the triangle on the grid below.

Mathematics
1 answer:
Klio2033 [76]3 years ago
3 0

Answer:

31.5 units²

Step-by-step explanation:

Area = ½*base*height

Height of the triangle on the grid = 9 units

Base = 7 units

Area = ½*9*7

Area = ½*63

Area = 63/2

Area = 31.5 units²

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Write a function to represent the set of ordered pairs.
77julia77 [94]

Answer:

Option C   f (x) = x^ 2 - 2

Step-by-step explanation:

Note that the relation describing the set of ordered pairs does not change at a costing rate

y_2 -y_1 = 7-2 = 5\\\\y_3 -y_2 = 14- 7 = 7\\\\y_4 - y_3 = 23- 14 = 9

Therefore the relationship is not linear.

However, the exchange rate y_n- y_{n-1} increases by a factor of 2 units when n increases 1 unit. This allows us to conclude that the relationship is quadratic

Note that the following ordered pairs belong to the function

y = x ^ 2

A = {(2, 4), (3, 9), (4, 16), (5, 25)}

The set of ordered pairs that we have is:

B = {(2, 2), (3, 7), (4, 16), (5, 23)}

Note that there is a similarity between both sets of ordered pairs.

In set B the values of y are always 2 units less than the values in y of the set A.

Then we deduce that since the function that models the set A is y = x ^ 2 then the function that contains the ordered pairs of the B set is:

y = x ^ 2 -2

The correct option is option C) f (x) = x^ 2 - 2

8 0
3 years ago
Venetta buys 2 pounds of pistachios and 3 pounds of almonds. The pistachios cost $4 more per pound than the almonds. She pays a
Alex

Answer: the answer is 2 and 5

Step-by-step explanation:

8 0
3 years ago
What is the solution to this system of equation?
lys-0071 [83]

Answer: x = 3, y = 3.

Step-by-step explanation:

The decision on a photo

8 0
3 years ago
Please help will brainlist if right
prisoha [69]

Answer:

12. B

13 A

18 B

19 B

Step-by-step explanation:

12. The solutions of the quadratic is the roots, so 0 = x^2 -7x -30 = (x-10)(x+3). For this to be satisfied, either x-10 = 0 -> x = 10 and x + 3 = 0 -> x = -3

13. Either x = 0 or x+8 = 0 -> x =-8 for this to be true

18. The GCF of 2, 6, and 20 is 2. No other number satisfies being a common factor.

19. The product of the solutions of the equation is the (constant/leading coefficient) in the quadratic, which is -8/1 = -8

I hope this helps! :)

4 0
2 years ago
Read 2 more answers
-1/2(10x + 2) - 7 = -x - 4
xxTIMURxx [149]
The answer would be -1. ☺️
7 0
3 years ago
Read 2 more answers
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