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:
(-4,3)
Step-by-step explanation:
The answer is B, C, and D. Like terms are terms with all the same variable, so 5x and -x are like terms.
C is correct. If we add -x to 5x, we get 4x. The other numbers remain unchanged because they have no like terms.
D is correct. Applying the rule of like terms, which is that like terms are numbers with the same variable, only add together numbers with the same variable.
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64 degrees
90 degrees minus 26 degrees
90-26=64
Answer:
y = 2x + 11
Step-by-step explanation:
Parallel means the two lines have the same slope. The slope = 2 because the two is in front of the x. Whatever number is in front of the x is the slope.
So far what you know is
y = 2x + b
The point (-3,5) is what you need to get b.
y = 2x + b
y = 5
x = - 3
5 = -3(2) + b
5 = -6 + b
b = 5 + 6
b = 11
============
Equation
y = 2x + 11