X^2+6x+8=0
To write the above in the form of (x-p)^2=q we proceed as follows:
i] Re-write the expression:
x^2+6x=-8
ii] Calculate for the vale of c.
c=(b/2a)²
given that:
b=6, and a=1
thus
c=(6/2*1)^2=9
iii]
Add 9 on both sides of the equation from i
x^2+6x+9=-8+9
simplifying we get:
x^2+6x+9=1
factoring the LHS we get:
(x+3)(x+3)=1
(x+3)²=1
The above is in the form of:
(x-p)²=q
where:
p=3 and q=1
Answer:
- 20 and 31
Step-by-step explanation:
Solve the given equations simultaneously to find x and y
2x + y = 23 → (1)
4x - y = 19 → (2)
Adding the 2 equations term by term will eliminate y
6x + 0 = 42
6x = 42 ( divide both sides by 6 )
x = 7
Substitute x = 7 into either of the 2 equations and solve for y
Substituting into (1)
2(7) + y = 23
14 + y = 23 ( subtract 14 from both sides )
y = 9
Then
x - 3y = 7 - 3(9) = 7 - 27 = - 20
5y - 2x = 5(9) - 2(7) = 45 - 14 = 31
Answer: the number of the parking space covered by the car is 87
Step-by-step explanation:
Numbers are assigned to each parking spot. Looking closely at the numbers assigned to each spot, the numbers are inverted and the number on each successive spot differ by one. The numbers are 86, 87, 88, 89, 90, 91
Therefore, the number assigned to the spot where the car would be 87
Answer:
Shorter piece length is 18 inches
Step-by-step explanation:
Let's marked first piece with x and second with y
x + y = 42
Given ratio is x : y = 3 : 4
From this proportion we get
x = 3 c and y = 4 c where c is coefficient of proportionality
when we replace this in initial equation we get
3 c + 4 c = 42 => 7 c = 42 => c = 42/7 = 6 c = 6
x = 3 · 6 = 18 inches and z = 4 · 6 = 24 inches
shorter piece is x = 18 inches
God with you!!!
12.1 because 9 is greater than 5.
