Answer:
part 1 : y = x^2 + 3x + 5
y = x + 13
solution:
x^2 + 3x + 5 = x + 13
x^2 + 2x -8 = 0
(x+4)(x-2) = 0
x = -4 or x = 2
if x = -4, y = 9
if x = 2 , y = 15
part 2 : x^2 + 2x + 1 = 0
(x + 1)^2 = 0
x = -1
y = 1
task 2
part 1 : Let our two digit number be 26
Next, we rewrite it as a difference of two numbers
26=32-6
We want to square 26 using the identity:
In this case,
x=32
y=6
Substituting into the identity
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Answer:
C
Step-by-step explanation:
x 105,000,000 = 16,800,000
Answer:
3x = 50 - 10y
Step-by-step explanation:
Here, x represents the number of 3 lb weights and y represents the number of 10 lb weights,
So, total weight of 3 lb weights = 3x
And, the weight of 10 lb weights = 10y
Total weight of all his weights = 3x + 10y
According to the question,
Total weight = 50 lb,
⇒ 3x + 10y = 50
Or 3x = 50 - 10y
Which is the required equation.
Second option is correct.
Answer:
x = 9.5 m
Step-by-step explanation:
Given:
This problem is based on 2D motion kinematics equations:



At maximum height:

Components of initial velocity:


To find time to reach maximum height:
Plugging in the known values:
0 = 4.10 - 9.8t


Total time = 2t = 2(0.418) = 0.836 s
to find horizontal distance covered:
