Answer:
k = 33
Step-by-step explanation:
7 + k/3 = 18
=>7 + k/3 -7 = 18 - 7
=>k/3 = 11
=>(k/3) * 3 = 11 * 3
=>k = 33
Answer:
35-7x
Step-by-step explanation:
Multiply parenthesis by -7
A quadrilateral always has interior angles that add up to 360 degrees.
The vertices coordinates following a reflection along the y-axis are S(-6,6), T(2,6), U(2,0), V(-6,0).
<h3>What is reflection?</h3>
A reflection point is created when a figure is constructed around a single point known as the point of reflection or the figure's centre. There is an exact opposite point on the other side of each point in the figure. Under the point of reflection, the figure's size and shape are unaltered.
Given points are p ( 8,-2 ) Q(8,5) R( 4,-2 )
The reflection of the points
P (8,-2) = P (-8, 2)
Q (8,5) = Q (-8, -5)
R (4,-2) = R (-4, 2)
Therefore, the coordinates of the vertices after a reflection across the Y-axis are P (-8, 2) Q (-2, 6) R (-2, 0)
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Answer:
x = 1 or x = -5
Step-by-step explanation:
We are given;
- The quadratic equation, x² + 4x - 13 = -8
We are required to solve the equation using the completing square method.
To do this, we use the following steps;
Step 1: We make sure the coefficient of x² is one
x² + 4x - 13 = -8
Step 2: Combine the like terms (take the constant term to the other side)
x² + 4x - 13 = -8
x² + 4x = -8 + 13
we get
x² + 4x = 5
Step 3: We add the square of half the coefficient of x on both sides of the equation
Coefficient of x = 4
Half of coefficient of x = 2
Square of half the coefficient of x = 2² (4)
We get;
x² + 4x + (2²) = 5 + (2²)
Step 4: Put x and 2 under one square and the solve the other side of the equation.
We get
(x + 2)² = 5 + 4
(x + 2)² = 9
Step 5: Get the square root on both sides of the equation;
(x + 2)² = 9
√(x + 2)² = ±√9
(x + 2)= ±3
Therefore;
x+2 = + 3 or x + 2 = -3
Thus, x = 1 or -5
The solution of the equation is x = 1 or x = -5
