Answer:
y = lnx / ln 7.
Step-by-step explanation:
x = 7^y
Take logarithms of both sides:
ln x = ln 7^y
ln x = y ln 7 ( because ln a^b = b ln a. One of the Laws of Logarithms).
y = lnx / ln 7.
Answer:
7 square units
Step-by-step explanation:
As with many geometry problems, there are several ways you can work this.
Label the lower left and lower right vertices of the rectangle points W and E, respectively. You can subtract the areas of triangles WSR and EQR from the area of trapezoid WSQE to find the area of triangle QRS.
The applicable formulas are ...
area of a trapezoid: A = (1/2)(b1 +b2)h
area of a triangle: A = (1/2)bh
So, our areas are ...
AQRS = AWSQE - AWSR - AEQR
= (1/2)(WS +EQ)WE -(1/2)(WS)(WR) -(1/2)(EQ)(ER)
Factoring out 1/2, we have ...
= (1/2)((2+5)·4 -2·2 -5·2)
= (1/2)(28 -4 -10) = 7 . . . . square units
(2(8)-12)+(12(8)(2)-10)
(16-12)+(132-10)
4+122=126
THE ANSWER WOULD BE 126 :D
Answer:
A) x=4
B) x=35/2
Step-by-step explanation:
calculate the product
A) 5x/2+1=11
multiply both sides of the equation by 2
5x+2=22
move the constant to the right hand side and change its sign
5x+22-2
now subtract the numbers
5x=20
now didvide both sides
5x=20
x=4
B)
calculate the product
2x/7-3=2
multiply both sides of the equation by 7
2x-21=14
move the constant to the right hand side and change its sign
2x=14+21
add the numbers
2x=35
now divide both sides of the equation by 2
x=35/2
