Answer:
x=3.5
Step-by-step explanation:
We can use proportions to solve this problem. Put the side of one triangle over the same side of the other triangle.
6 4.2
------ = ----------
5 x
Using cross products
6x = 5*4.2
6x =21
Divide by 6
6x/6 = 21/6
x=3.5
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
Answer:
QM = 21
Step-by-step explanation:
The diagonals of a parallelogram bisect each other, then
QM = PQ = 21
Answer:
Step-by-step explanation:
given,
initial price of buzz stock = $ 20 per share
after 20 days
stock price = $30 per share
after 40 days
the price = $35 per share
let say it is modeled by
y = ax² + b x + c
x = number of days
y = stock price
x = 0 y = 20
20 = a x 0 + b x 0 + c
c = 20
x = 20 y = 30
30 = 20² a + 20 b + 20
400 a + 20 b = 10...........(1)
x = 40 y = 35
35 = 40² a + 40 b + 20
1600 a + 40 b = 15...........(2)
solving equation (1)and (2)
a = - 1/160
b = 5/8
hence , the above equation is multipart function
The first and last represent functions, no function has an input with two separate outputs
