Let x be the amount of people
Since Cindy received 55% of votes,Shawn received(1-55%)=45% of votes
x ×45%=423
x=423÷0.45
=940
So there are total 940 people voted in the election
Answer:
Step-by-step explanation:
14.
by pythagoras,s theorem
15.
first perpendicular=y(say)
and second perpendicular=z (say)
y²=9²+7²=81+49=130
z²=y²+5²=130+25=155
x²=z²+4²=155+16=171
x=√(171)
Answer:
a = 12
Step-by-step explanation:
Formula for calculating the slope of a line is expressed as;
m = ∆y/∆x
m = y2-y1/x2-x1
Given
m = 1/2
x1 = a
y1 = 14
x2 = 8
y2 = a
Required.
Value of a
Substitute the given parameters into the formula
1/2 = a-14/8-a
Cross multiply
1(8-a) = 2(a-14)
8-a = 2a-28
Collect like terms
-a-2a = -28-8
-3a = -36
a = -36/-3
a = 12
Hence the value of a is 12
Answer:
x = sqrt(11 - y) - 2 or x = -sqrt(11 - y) - 2
Step-by-step explanation:
Solve for x:
y = -x^2 - 4 x + 7
y = -x^2 - 4 x + 7 is equivalent to -x^2 - 4 x + 7 = y:
-x^2 - 4 x + 7 = y
Multiply both sides by -1:
x^2 + 4 x - 7 = -y
Add 7 to both sides:
x^2 + 4 x = 7 - y
Add 4 to both sides:
x^2 + 4 x + 4 = 11 - y
Write the left hand side as a square:
(x + 2)^2 = 11 - y
Take the square root of both sides:
x + 2 = sqrt(11 - y) or x + 2 = -sqrt(11 - y)
Subtract 2 from both sides:
x = sqrt(11 - y) - 2 or x + 2 = -sqrt(11 - y)
Subtract 2 from both sides:
Answer: x = sqrt(11 - y) - 2 or x = -sqrt(11 - y) - 2
