Answer:
Try as percentages so
7) 37.5%
8) 50%
9) 12.5%
10) 62.5%
11) 87.5%
12) 50%
13) 62.5%
14) 37.5%
15) 100%
Step-by-step explanation:
To prove that segment DE is parallel to segment BC and half its length, Translate ABCDE left 4 units and down 2 units
<h3>What is a transformation?</h3>
Transformation is the movement of a point from its initial location to a new location. Types of transformation are <em>translation, rotation, reflection and dilation.</em>
Dilation is the increase or decrease in the size of a figure.
To prove that segment DE is parallel to segment BC and half its length, Translate ABCDE left 4 units and down 2 units.
Find out more on transformation at: brainly.com/question/4289712
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The generic equation for a linear function can be expressed in the slope intercept form f(x) = mx + b, where m is the slope and b is the y intercept. For this problem we can first find the equation of the line. Then we substitute x = 7 to get the f(x) value, which is n at the point x = 7.
To find the equation of the linear function we first find the slope. Slope is defined as the change in f(x) divided by the change in x. As we are given a linear function, the slope at every point is the same. We can pick any two points known to find the slope.
Let's pick (3, 7) and (9, 16). The slope m is m = (16-7)/(9-3) = 9/6 = 3/2.
Now that we have the slope, we can plug in the slope and one of the points to find b. Let's use the point (3, 7).
f(x) = mx + b
7 = (1/2)(3) + b
b = 11/2
Now we can write the equation
f(x) = (1/2)x + 11/2
Plugging in x = 7 we find that f(7) = 9. n = 9
Answer:
743.25m^2
Step-by-step explanation:
Area of triangle = 1/2bh
= 1/2 x 30 x 26
= 390
Area of semi circle = 1/2 πr^2
= 1/ 2 x 3.14 x 15 x15
=353.25m^2
= 390 + 353.25
= 743.25m^2
Here the denominators are quadratics , so we need to factorise them first
1/(x²-5x) +3/(x²+2x-35)
factorising x²-5x ,
here GCF is x, so taking x out we have
x(x-5)
factorising x²+2x-35 using AC method,
we find factors of -35 that add up to give 2
(x-5)(x+7)
Since we have x-5 common in both denominators, so lcd of the rational expression will be product of x(x-5)(x+7)
lcd is x(x-5)(x+7)