Answer:
Slope = (-1/3)
Step-by-step explanation:
Point 1: (-6, 6); Point 2: (6, 2)
(x₁, y₁) (x₂, y₂)
y₂ - y₁ 2 - 6 -4 -4 ÷ 4 -1
m = ------------ = ----------- = ---------- = -------------- = -------
x₂ - x₁ 6 - (-6) 6 + 6 12 ÷ 4 3
y - y₁ = m(x - x₁)
y - 6 = (-1/3)(x + 6)
y - 6 = (-1/3)x - 2
+6 +6
-------------------------
y = (-1/3)x + 4
I hope this helps!
Answer:
A and B.
Step-by-step explanation:
So we want to select the fractions that equal -1/7.
Let's go through each of the answer choices.
A)
A is -1/7, the exact same.
A is correct.
B)
B is 1/-7.
We can move the negative to the top.
So, 1/-7 is equivalent to -1/7.
B is also correct.
C)
C is 1/7
There are no negatives whatsoever.
C is not correct.
D)
We have -1/-7.
Again, move the negative to the top. We will have:
-(-1)/7
The two negatives cancel:
=1/7.
So, D is not correct.
Our answers are A and B.
Answer:
A. y = cos x
Step-by-step explanation:
The function that we see graphed has the point (0,1), this means whichever trig function f(x) it represents f(0) = 1.
Now, only the cosine function has the property that cos(0) = 1, thus choice A is the correct answer.
Step-by-step explanation:
Answer:
x = - 2, x = 12
Step-by-step explanation:
Given
x² - 10 x = 24 ( subtract 24 from both sides )
x² - 10x - 24 = 0 ← in standard form
To factorise the quadratic
Consider the factors of the constant term (- 24) which sum to give the coefficient of the x- term (- 10)
The factors are - 12 and + 2, since
- 12 × 2 = - 24 and - 12 + 2 = - 10, thus
(x - 12)(x + 2) = 0
Equate each factor to zero and solve for x
x - 12 = 0 ⇒ x = 12
x + 2 = 0 ⇒ x = - 2
Answer:
B. $257.33
Step-by-step explanation:
Interest will be charged on the New Balance after the Month 7 payment, $257.33.
