Answer:
x = 6 and y = - 6
Step-by-step explanation:
- 4 x - 2 y = -12.......equ No 1
4 x + 8y = - 24.......equ No 2
Adding equ No 1 and equ No 2
6 y = - 36
∴ y = - 6
substitute y = - 6 in equ No 2
4 x + 8 y = -24
4 x + 8 ×( -6) = - 24
4 x - 48 = -24
4 x = -24 + 48
4 x = 24
∴ x = 6
x = 6 and y = - 6
Answer:
(-2, -1)
Step-by-step explanation:
This is a quadratic equation in standard form, and a = 1, b = 4 and c = 3.
The x-coordinate of the vertex is given by the formula
-b -4
x = --------- which here has the numerical value x = -------- = -2
2a 2
Finally, we evaluate y=x^2+4x+3 at x = -2 to find the y-coordinate of the vertex:
y = (-2)^2 + 4(-2) + 3 = -1
The vertex is at (-2, -1).
By analyzing and understanding the graph of the absolute value function, we find that the function evaluated at the x-value equal to 1 is equal to the y-value equal to 3.
<h3>What is the y-value associated to a given x-value of an absolute value function? </h3>
In this problem we find the representation of an absolute value function, where the horizontal axis corresponds to the values of the domain, whereas the vertical axis is for the values of the range. In that picture we must look up for the y-value associated with a given x-value.
Then, we proceed to evaluate the absolute value function at x = 1. In accordance with the graph, the y-value , that is, from the vertical axis, associated with the x-value, that is, from the horizontal axis, equal to 1 is equal to a value of 3.
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After solving
we get value of x: 
Step-by-step explanation:
We need to solve the equation
and find value of x:
Solving:

Using the rule: if 
Since our base is equal i.e 4 so,

So, After solving
we get value of x: 
keywords: Solving Exponents
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If the triangle is increased to twice the base and the height the size will increase by 48 ft²
<h3>How to find the area of a triangle?</h3>
The area of a triangle can be described as follows;
area of a triangle = 1 / 2 bh
where
Therefore, the total area of the garden is 16 square feet.
Hence,
16 ft² = 1 / 2 bh
Hence, if the the triangle is increased to twice the base and the height the size will be as follows;
area = (1 / 2) × 2b × 2h
area = 4 × (1 / 2 bh)
area = 4 × 16
area = 64 ft²
Therefore,
difference in area = 64 ft² - 16 ft²
difference in area = 48 ft²
Therefore, if the the triangle is increased to twice the base and the height the size will increase by 48 ft²
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