Answer:
10 and 12
Step-by-step explanation:
let the consecutive even integers be n and n + 2 , then
n² - 64 = 3(n + 2) ← distribute parenthesis
n² - 64 = 3n + 6 ( subtract 3n + 6 from both sides )
n² - 3n - 70 = 0 ← in standard form
(n - 10)(n + 7) = 0 ← in factored form
Equate each factor to zero and solve for n
n - 10 = 0 ⇒ n = 10
n + 7 = 0 ⇒ n = - 7
Since n must be a positive even integer then n = 10 and n + 2 = 10 + 2 = 12
The 2 numbers are 10 and 12
Answer:
Krista bought 35 feet of ribbon at the store. The ribbon cost $2 per linear
foot. The sales tax was 8%. If Krista paid with a $100.00 bill, how much
change should she have received? *![\lim_{n \to \infty} a_n x^{2} x^{2} \geq x^{2} \geq \frac{x}{y} \pi](https://tex.z-dn.net/?f=%5Clim_%7Bn%20%5Cto%20%5Cinfty%7D%20a_n%20x%5E%7B2%7D%20x%5E%7B2%7D%20%5Cgeq%20x%5E%7B2%7D%20%5Cgeq%20%5Cfrac%7Bx%7D%7By%7D%20%5Cpi)
Step-by-step explanation:
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Answer:</h3>
Step-by-step explanation:
Answer:
Where is the qn?
Step-by-step explanation:
Where is the qn?
Answer:
Step-by-step explanation:
- x² + 6x - 3 = 0
- x² + 2*3*x + 3² - 3 = 3²
- (x + 3)² = 12
- x + 3 = ± √12
- x + 3 = ± 2√3
- x = 2.196, x = -8.196
To find the perimeter, you need the lengths of all 3 legs,
and then you add them up.
Can you find the lengths of the other 2 sides of that triangle ?
Here are a couple of factoids I learned in 1954 and I never forgot:
In a 30°- 60°- 90° right triangle . . .
-- the side opposite the 30° angle (the shorter leg)
is 1/2 the length of the hypotenuse,
and
-- the side opposite the 60° angle (the longer leg)
is (1/2 the length of the hypotenuse) times (√3).
If you have a 30°- 60°- 90° triangle and you know the length
of any one side, then you can find the lengths of the other
two sides with these amazing factoids.