Answer:
x = 1, y = −1
x = 5/2, y = 1/2
Step-by-step explanation:
From the question given above, the following data were obtained:
y = 2x² − 6x + 3 ........ (1)
y = x − 2 ...... (2)
We can obtain the solutions to the equation as follow:
y = 2x² − 6x + 3 ........ (1)
y = x − 2 ...... (2)
Substitute the value of y in equation 2 into equation 1
y = 2x² − 6x + 3
y = x − 2
2x² − 6x + 3 = x − 2
Rearrange
2x² − 6x − x + 3 + 2 = 0
2x² − 7x + 5 = 0
Solve by factorization
Obtain the product of 2x² and 5. The result is 10x².
Find two factors of 10x² such that their sum will result to −7x.
The factors are −2x and −5x.
Replace −7x in the equation above with −2x and −5x as shown below:
2x² − 2x − 5x + 5 = 0
2x(x − 1) − 5(x − 1) = 0
(x − 1)(2x − 5) = 0
x − 1 = 0 or 2x − 5 = 0
x = 1 or 2x = 5
x = 1 or x = 5/2
Substitute the value of x into equation 2 to obtain y
y = x − 2
x = 1
y = 1 − 2
y = −1
x = 5/2
y = x − 2
y = 5/2 − 2
y = (5 − 4)/2
y = 1/2
SUMMARY:
x = 1, y = −1
x = 5/2, y = 1/2
Step-by-step explanation:
Radius is same in both cones....
Slant height of lower cone = 50 cm ( by applying Pythagorean theorem )
TSA of the lower cone = 22/7 × 14 × ( 14 + 50 )
= 2816 cm^2
Total height of the solid = 52.8 cm
Height of the upper cone = 52.8 - 48 = 4.8 cm
TSA of the upper cone = 22/7 × 14 × ( 14 + 4.8 )
= 827..2 cm^2
TSA of the solid = 2816 + 827.2 = 3643.2 cm^2
Answer:
the answer is (8,5)
Step-by-step explanation:
idk how to expalin it lol so i hope its correct
C. 85%
Set up the proportions
136/160 = ?/100
Then cross multiply.
100 x 136 = 13600
13600/160 = 85
Also you could use process of elimination. 296% wouldn’t work because that’s saying 136 is almost 3 times as many as 160. The other answers wouldn’t work because it’s clear that 136 is more than half of 160.
