Answer:
<h3>The answer is 243.</h3>
Step-by-step explanation:
To evaluate the expression substitute the values of a , b , c and d into the above expression
a = - 9
b = - 7
c = 9
d = 3
So we have
2cd + 3ab = 2(9)(3) + 3(-9)(-7)
= 2(27) + 3( 63)
= 54 + 189
We have the final answer as
<h3>243</h3>
Hope this helps you
Answer:
Base=8 feet
Height=17 feet
Step-by-step explanation:
Let
Base=x
Height=3x-7
Area=68 square feet
Area of the sail boat=1/2 * base * height
68 = 1/2 * x * (3x-7)
Cross product
68 * 2 =(1) * (x) * (3x-7)
136 = 3x^2 - 7x
3x^2 - 7x - 136=0
Using quadratic formula
x= -b +or- √b^2 - 4ac / 2a
= -(-7) +or- √(-7)^2 - (4)(3)(-136) / 2(3)
= 7 +or- √49 - (-1632) / 6
= 7 +or- √49+1632) / 6
= 7 +or- √1681 / 6
=7 +or- 41 /6
x= 7+41 / 6 or 7-41 / 6
=48/6 or -34/6
=8 or -17/3
Answer:
Step-by-step explanation:
Let
Base=x
Height=3x-7
Area=68 square feet
Area of the sail boat=1/2 * base * height
68 = 1/2 * x * (3x-7)
Cross product
68 * 2 =(1) * (x) * (3x-7)
136 = 3x^2 - 7x
3x^2 - 7x - 136=0
Base of the boat can't be a negative value
Therefore,
Base = x = 8 feet
Height= 3x-7
=3(8)-7
=24-7
=17 feet
Answer:
Step-by-step explanation:
The graph decreases at first, then changes direction at (2, 5).
y = a(x-2)^2 + 5
Plug in (1,11) and solve for a:
11 = a(1-2)^2 + 5
a = 6
Equation in vertex form:
y = 6(x-2)^2 + 5
Answer:
174339220050
Step-by-step explanation:
50(3^20)
=(50)(3486784401)
=174339220050
Triangle= 180 degrees
Angle = 37.5 degrees
Supplement angle = 105 degrees
If you multiply the angle (37.5) by 2 and then add 30, it gives you 105. Then add 37.5 twice to make up the other two angles of the triangle and it gives you 180 total degrees as a triangle should.