Answer:
Step-by-step explanation:
(i) Area of ABCD = (base1+base2)*height/2
= (6+12)*4/2 = 36 cm2
(ii) Volume = Area of ABCD * length = 36 * 25 = 900 cm3
(iii) Total SA = Area of ABCD *2 + 25*5*2 + 6*25 + 12*25
= 72 + 250 + 150 + 300
= 772cm2
Answer:
<u>416 square centimeters</u>
Step-by-step explanation:
Formula for finding area of a trapezoid :
<u>A = 1/2 x (a + b) x h</u>
- a and b = parallel sides of the trapezoid
- h = height of the trapezoid
Solving :
- A = 1/2 x (38 + 14) x 16
- A = 8 x 52
- A = <u>416 square centimeters</u>
This graph is a Quadratic Graph meaning it is a "U" shape. I am unable to help with the transformations since I am unaware of the signs in the problem. But I hope I helped
Answer:
Step-by-step explanation:
x² + 4y² = 36
divide by constant
x²/36 + y²/9 = 1
x²/6² + y²/3² = 1
6>3, so length of major axis is 2×6 = 12
Answer:
x-int = 18
y-int = -9/2
Step-by-step explanation:
Use slope-intercept form y=mx + b
To find the slope, substitute the two points into the slope formula and solve.

Substitute a random point (2,-4) and m=1/4 into slope-intercept form
y = mx+b
-4 = 1/4 (2) + b
-4 = 2/4 + b
-4 = 1/2 + b
Isolate b to solve
b = -4 - 1/2
b = -8/2 - 1/2
b = -9/2 <= this is the y-intercept
b is the y-intercept in slope-intercept form
Substitute b= -9/2 and m=1/4 to get the equation of the line.
y = 1/4 x - 9/2
Substitute y for 0 to find the x intercept
y = 1/4 x - 9/2
0 = 1/4 x - 9/2
9/2 = 1/4 x
x = (9/2) / (1/4)
x = (9/2) X (4/1)
x = 36/2
x = 18