Answer:
8 vertices, 6 faces, 12 edges
Step-by-step explanation:
If the perpendicular height is 11 ft. the area would be .5(18)(11) = 99 ft^2
Answer:
If the height is tripled and the area is 12 times larger, the base would be 8 times larger.
Step-by-step explanation:
Area of Triangle = 1/2(base × height)
If the area is 1 foot and the height is 1 foot, that means the base is 2 feet, since 1 = 1/2(2 × 1)
Now, if the height is tripled and the area is 12 times larger, then the base would have to be 8 feet, since 12 = 1/2(8 × 3)
Answer:
10
Step-by-step explanation:
((2 + 2 + 4) + 2) x 2 / 2 = (10 x 2) / 2 = 10
<h3>5x - y = 27 and 2x + y = 8 are the system of equations with a solution of (5,-2)
</h3>
<em><u>Solution:</u></em>
Given that,
create a system of equations with a solution of (5,-2)
<em><u>The equation for a line in slope intercept form:</u></em>
y = mx + b
Where, m is the slope and b is the y intercept
For (x, y) = (5, -2)
-2 = 5m + b
<em><u>When m = 5</u></em>
-2 = 5(5) + b
-2 = 25 + b
b = -2 - 25
b = -27
<em><u>When m = -2</u></em>
-2 = 5(-2) + b
-2 = -10 + b
b = 8
<em><u>Thus equations are:</u></em>
y = 5x - 27
y = -2x + 8
<em><u>Rearranging to standard form,</u></em>
5x - y = 27 --- eqn 1
2x + y = 8 ---- eqn 2
Thus the system of equations are found
<h3><u>Verify:</u></h3>
Solve eqn 1 and eqn 2
Add both eqn 1 and eqn 2
7x = 35
<h3>x = 5</h3>
Substitute x = 5 in eqn 2
2(5) + y = 8
y = 8 - 10
<h3>y = -2</h3>
Thus solution is (5, -2) and the found system of equations are correct
