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Answer:</h2>
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Step-by-step explanation:</h2>
A trapezoid is a quadrilateral where at least one pair of opposite sides are parallel. In a trapezoid, the both parallel sides are known as the bases of the trapezoid. So we have two bases, namely, 
. Also, the height 
of the trapezoid is the length between these two bases that's perpendicular to both sides. So the area of a trapezoid in terms of of 
is:
Since:
The area is:
Answer:
A) y = -1/2x + 1/2
Step-by-step explanation:
Find the y-intercept(when x = 0), which is 1/2.
Find the slope: m = y2-y1 / x2-x1
I used points: (3, -1), (-3,2)
m = 2 - (-1) / -3 - 3
m = 3 / - 6
m = -1/2
plug this into the slope intercept form equation: y = mx + b
y = -1/2x + 1/2
Answer:
f(x)=a(x - h)2 + k
Much like a linear function, k works like b in the slope-intercept formula. Like where add or subtract b would determine where the line crosses, in the linear, k determines the vertex of the parabola. If you're going to go up 2, then you need to add 2.
The h determines the movement horizontally. what you put in h determines if it moves left or right. To adjust this, you need to find the number to make the parentheses equal 0 when x equals -2 (because moving the vertex point to the left means subtraction/negatives):
x - h = 0
-2 - h = 0
-h = 2
h = -2
So the function ends up looking like:
f(x)=a(x - (-2))2 + 2
Subtracting a negative cancels the signs out to make a positive:
f(x)=a(x + 2)2 + 2
Step-by-step explanation:
Answer:
52 units.
Step-by-step explanation:
If we drop a perpendicular line from point C to AD and call the point ( on AD) E we have a right triangle CED.
Now CE = 6 and as the whole figure is symmetrical about the dashed line,
ED = (26 - 10)/2
= 8.
So by Pythagoras:
CD^2 = 6^2 + 8^2 = 100
CD = 10.
So, as AB = CD,
the perimeter = 10 + 26 + 2(8)
= 52.
12.5% of 360 is 45
360-45 is 315
Answer is £315
