Answer:
E
Step-by-step explanation:
Given
y = 2x² - kx + 3
with a = 2, b = - k and c = 3
Since the curve touches the x- axis at one place then the roots are real and equal and the discriminant for this condition is
b² - 4ac = 0, that is
(- k)² - (4 × 2 × 3) = 0
k² - 24 = 0 ( add 24 to both sides )
k² = 24 ( take the square root of both sides )
k = ± = ± 2
k = 2 or k = - 2
→ E
Answer:
The answer to your question is AC = 14
Step-by-step explanation:
To solve this problem, we must use trigonometric functions.
And we must look for a trigonometric function that relates the opposite side and the hypotenuse.
This trigonometric function is the sine
solve for Opposite side = AC
AC = hypotenuse x sin α
- Substitution
AC = 25 x sin 34
- Simplification
AC = 25 x 0.56
- Result
AC = 14
Answer:
As follows,
Step-by-step explanation:
Find the attachment.
Distance of PQ=√13
Distance of QR=√13
Distance of PR=√26
Thus, PQR is an isosceles triangle.
Distance of MN=√(16+(a-2)^2)
16=16+a^2-4a+4
a^2-4a+4=0
a=2
Distance of RS=√(9+(b+1)^2)
25=9+b^2+2b+1
b=3 or -5
Distance of RS=√(9+(-1-c)^2)
18=9+c^2 + 2 c + 1
c=-4,2
