Answer:
First one: 37.5
Second one: 108
Step-by-step explanation:
For the first one:
the figure shown is a triangle
The area of a triangle can be calculated using this formula
where b = base length and h = height
The triangle shown has a height of 7.5 and a base length of 10
Using this information we plug in the values into the formula.
Hence the area of the figure is 37.5 square units
For the second one.
The figure shown is a parallelogram with a height of 9 and a base length of 12
The area of a parallelogram can simply be calculated by multiplying the base length by the height
So area = 9 * 12
9 * 12 = 108
Hence the area of the figure is 108 square units
The equation, in slope-intercept form, of the line that is parallel to the given line and passes through the point (0, 12) is y = -5x + 1
<h3>Equation of a line</h3>
A line is the distance between two points
Given the equation of a line expressed as 10x + 2y = -2. Determine the slope
2y = -10x -2
y = -5x - 1
Slope of the line is -5
The equation of a line in point-slope form is y - y1 = m(x-x1)
Substitute the point and the slope of the parallel line
y - 12 = -5(x - 0)
y - 12 = -5x
y = -5x + 12
Hence the equation, in slope-intercept form, of the line that is parallel to the given line and passes through the point (0, 12) is y = -5x + 12
Learn more on equation of a line here: brainly.com/question/13763238
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Answer:
Step-by-step explanation:
Given the expression
<u>Expand and simplify the expression</u>
Expand 4(2x + 7) = 8x + 28
Expand -3(x + 5) = -3x - 15
Group like terms
Add similar elements: 8x - 3x = 5x
Simplify
Therefore, we conclude that: