Answer:
69
Step-by-step explanation:
12+12+16+14+15
Answer:
A
Step-by-step explanation:
Recall that for a quadratic equation of the form:
The number of solutions it has can be determined using its discriminant:
Where:
- If the discriminant is positive, we have two real solutions.
- If the discriminant is negative, we have no real solutions.
- And if the discriminant is zero, we have exactly one solution.
We have the equation:
Thus, <em>a</em> = 2, <em>b</em> = 5, and <em>c</em> = -<em>k</em>.
In order for the equation to have exactly one distinct solution, the discriminant must equal zero. Hence:
Substitute:
Solve for <em>k</em>. Simplify:
Solve:
Thus, our answer is indeed A.
Answer:
840cm²
Step-by-step explanation:
The two small triangle areas:
b × h / 2 = 12 × 5 = 60 / 2 = 30cm²
So two triangles would be 60cm²
Now, for the top rectangle:
b × h = 26 × 12 = 312cm²
The middle rectangle:
b × h = 26 × 13 = 338cm²
And the bottom last triangle:
b × h = 26 × 5 = 130cm².
Now to add them all: 60 + 312 + 338 + 130 = 840cm²
I advice you to just check to make sure the calculations were right! Good luck with the rest of your finals :)
No it’s not proportional. If you had a coefficient in front of the a it could have been proportional. But the addition or subtraction of a quantity leads it to be nonproportional
So, if I'm understanding you correctly, f(x)=x^2 divided by 3x+x, or
f(x) = (x^2)/(3x+x)
f(6) --> plug the 6 in to all values of x --> f(6) = (6^2)/(3×6 + 6) = 36/(18+6)
= 36/24 --> both are divisible by 12, so 36/12=3 and 24/12=2, now we have the reduced (simplified) answer:
f(6) = 3/2, or 1 1/2, or 1.5
