Answer:
<h2>A = 37 cm²</h2>
Step-by-step explanation:
Look at the picture.
We have two rectangles:
15cm × 2cm and 7cm × 1cm.
Calculate the areas:
A₁ = 15 · 2 = 30 cm²
A₂ = 7 · 1 = 7 cm²
The area of the figure:
A = A₁ + A₂ → A = 30 cm² + 7 cm² = 37 cm²
3h - 27 = 36
3h = 63
h = 21
<h2>
Answer:</h2>
y = 2
<h2>
Step-by-step explanation:</h2>
To determine the equation of the line that passes through (10,2) and (-3,2), we need to determine the slope of the line. Then substitute the slope and any given point in point slope form to obtain the equation of the line.
<h3>Finding the Slope of the line:</h3>


<u>Substitute the coordinates of the given points:</u>

<u>Simplify the equation to determine the slope:</u>

∴ 0 divided by ANY number is ALWAYS 0.

<h3>Finding the equation of the line:</h3>
Point slope form formula: y - y₁ = m(x - x₁)
- x₁ and y₁ are the coordinates of any given point.
- m is the slope
<u>Substitute the values in the point slope form:</u>


<u>Simplify the equation to determine the equation of the line:</u>
∴ Any number multiplied by 0 is 0.



Thus, the equation of the line is y = 2.
I believe you are right with all of them.
Equation B is written in vertex form, which means you can read the vertex (extreme value) from the numbers in the equation.
Vertex form is
y = a(x -h)² + k
where the vertex (extreme point) is (h, k). Whether that is a maximum or a minimum depends on the sign of "a". When "a" is negative, the graph is a parabola that opens downward, so the vertex is a maximum.
Equation
B reveals its extreme value without needing to be altered.
The extreme value of this equation is a
maximum at the point
(2, 5).