Answer:
45.26
Step-by-step explanation:
Answer:
Step-by-step explanation:
Angle E is (7x+27) because it is corresponding.
So, 7x+27+15x-5=180 (angle on a straight line is 180 degrees
22x+22=180
22x=158
x= 158/22 = 7.18'
Answer:
1)· 5x + 2y = 9. First we solve for y. 2y= 9 -5x. y=(9-5x)/2. Now that we have the value of y. We substitute on the original equation and resolve. 5x + 2y = 95x + 2y = 9 5x + 2(9-5x)/2 = 9 5x + 9 - 5x = 9 9 = 9
That would be x = 1
Now substitute and resolve to find y.
5(1) + 2y = 9
5 + 2y = 9
2y = 4
y = 2
So our answer x=1 and y = 2. (1,2)
Proof :
5(1) + 2(2) = 9
5+ 4 = 9
9 = 9
Step-by-step explanation:
hoped it helped for the first one i didnt now the second one
Answer:
37.3032cm^2
Step-by-step explanation:
Given data
Diameter= 0.6cm
Radius= 0.3cm
Lenght = 19.5cm
Surface area (A) =2πrh+2πr^2
Substitute
A=2*3.14*0.3*19.5+2*3.14*0.3^2
A=36.738+0.5652
A=37.3032
Hence the surface area is
37.3032cm^2
Answer:
(x+1)(2x+5)
Step-by-step explanation:
f(x) = 2x² + 7x + 5
Factor the expression by grouping. First, the expression needs to be rewritten as 2x²+ax+bx+5. To find a and b, set up a system to be solved.
a+b=7
ab=2×5=10
Since ab is positive, a and b have the same sign. Since a+b is positive, a and b are both positive. List all such integer pairs that give product 10.
1,10
2,5
Calculate the sum for each pair.
1+10=11
2+5=7
The solution is the pair that gives sum 7.
a=2
b=5
2x²+7x+5 as (2x²+2x)+(5x+5).
(2x²+2x)+(5x+5)
Factor out 2x in the first and 5 in the second group.
2x(x+1)+5(x+1)
Factor out common term x+1 by using distributive property.
(x+1)(2x+5)