Answer:
see explanation
Step-by-step explanation:
Given that y is inversely proportional to x then the equation relating them is
y =
← k is the constant of proportionality
To find k use the condition that y = 7, x = 9
k = yx = 7 × 9 = 63, thus
y =
← equation of proportion
When x = 21, then
y =
= 3
A = 360 cm^2
Step-by-step explanation:
Using Pythagorean theorem, the length AB is given by
AB^2 = 17^2 - 8^2 = 225 cm^2
or
AB = 15 cm
Since the ratio BC: CD = 1:2 and BC = 8 cm, this means that CD = 2×(8 cm) = 16 cm
so the length BD is
BD = BC + CD = 8cm + 16 cm = 24 cm
There the area of the rectangle is
A = AB×BD
= 15cm×24cm
= 360 cm^2
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:
D, E
Step-by-step explanation:
All sides are not the same length so not A
Two sides are not the same length so not B
Not all angles are less than 90 so not C
All sides are different length so D
There is a right angle so E
Not all sides are greater than 90 so not F