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3 years ago

In the matrix equation below, what are the values of x and y?

Mathematics

1 answer:

Karo-lina-s [1.5K]3 years ago

4 0

Answer:

The value of x = 5 and y = 2

The correct answer is last option

Step-by-step explanation:

From the figure we can see that, subtraction of two matrices.

The resultant matrix shows the corresponding terms difference.

To find the value of x

1/2(x + 3) - (3*(-1)) = 7

x/2 + 3/2 +3 = 7

x/2 +3/2 = 7 - 3 = 4

x + 3 = 8

x = 8 - 3 = 5

x = 5

To find the value of y

8/2 -3 (y +1) = -5

4 - 3(y +1)/ = -5

3(y +1) = 4 + 5 = 9

y + 1 = 9 / 3 = 3

y = 3 - 1 = 2

Therefore the value of x = 5 and y = 2

The correct answer is last option

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2 years ago

Which is the equation of the parabola?

Umnica [9.8K]

Answer: $y=-\dfrac{1}{8}(x - 2)^2 - 3$

Step-by-step explanation:

The vertex form of a parabola is: y = a(x - h)² + k where

(h, k) is the vertex
$a=\dfrac{1}{4p}$

NOTE: p is the distance from the vertex to the focus

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$p=-2\quad \implies\quad a = \dfrac{1}{4(-2)}=-\dfrac{1}{8}$

Insert those values into the vertex formula to get:

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2 years ago