Answer:
108
Step-by-step explanation:
4−22+135−9
=−18+135−9
=117−9
=108
Answer:
(3,6)
Step-by-step explanation:
The triangle shown in figure is translated up 5
To find how coordinate of C
Original coordinate of C:(2,1),
Translation has two types: verbal and horizontal.
For verbal translation: either shift up or down
1. For up shift: add value in Y-cordinate
2. For down shift: subtract value in y coordinate
• For horizontal translation: either shift left or right
I. For left shift: subtract value in x-cordinate
II. For right shift: add value in x-cordinate
C: (3,1)shift 5 unit up
So, add 5in y-cordinate
(3,1)→(3,1+5)
(3,1)→(3:6)
Hence, the new coordinate of point C is (3,6)
Answer:
45 square meters
Step-by-step explanation:
we know that
The area of trapezoid is equal to
where
b1 and b2 are the parallel bases
h is the height of trapezoid (perpendicular distance between the parallel bases)
we have
substitute
Answer:
x = 3/4 + (3 sqrt(5))/4 or x = 3/4 - (3 sqrt(5))/4
Step-by-step explanation:
Solve for x over the real numbers:
8 x^2 - 12 x - 23 = -5
Divide both sides by 8:
x^2 - (3 x)/2 - 23/8 = -5/8
Add 23/8 to both sides:
x^2 - (3 x)/2 = 9/4
Add 9/16 to both sides:
x^2 - (3 x)/2 + 9/16 = 45/16
Write the left hand side as a square:
(x - 3/4)^2 = 45/16
Take the square root of both sides:
x - 3/4 = (3 sqrt(5))/4 or x - 3/4 = -(3 sqrt(5))/4
Add 3/4 to both sides:
x = 3/4 + (3 sqrt(5))/4 or x - 3/4 = -(3 sqrt(5))/4
Add 3/4 to both sides:
Answer: x = 3/4 + (3 sqrt(5))/4 or x = 3/4 - (3 sqrt(5))/4
Answer:
2
Step-by-step explanation:
Hoped this helped!
