Answer:
(3, 1 )
Step-by-step explanation:
Given the 2 equations
y = - x + 4 → (1)
y = x - 2 → (2)
Substitute y = x - 2 into (1)
x - 2 = - x + 4 ( add x to both sides )
2x - 2 = 4 ( add 2 to both sides )
2x = 6 ( divide both sides by 2 )
x = 3
Substitute x = 3 into either of the 2 equations and solve for y
Substituting into (2)
y = 3 - 2 = 1
solution is (3, 1 )
Given:
The quadratic equation is:


To find:
The value of k and
.
Solution:
We have,
...(i)
Putting
, we get




Putting
in (i), we get

Splitting the middle term, we get




Here,
and
.
Therefore, the required values are
and
.
For #4, we know V = lwh
We have the values
5184 = 2(18)h
Solve for h
5184 = 36h
144 = h.
for # 3:
we know A = pi r^2
We have
A = 3.14 * 6^2
A = 3.14 * 36
A = 113.04
for #2:
We know C = 2pi *r
C = 2(3.14)(14)
C = 28(3.14)
C = 87.92
for #1:
C = 2pi * r
C = 2(3.14)(26.3/2)
C = 2(3.14)(13.15)
C = 26.3(3.14)
C = 82.582
Answer:
16/49
Step-by-step explanation:
4/7 ÷ 1 3/4
Convert 1 3/4 into an improper fraction
4/7 ÷ 7/4
Find the reciprocal of 7/4 and multiply
4/7 * 4/7
16/49
Hope this helps :)