Answer:
<em>y = -2/3 x + 1</em>
Step-by-step explanation:
The line y = -2/3 x + 5 is in y = mx + b form, where m is the slope, so the slope of the given line is -2/3. Parallel lines have equal slopes, so the equation you are looking for also has slope -2/3.
The parallel line has equation
y = -2/3 x + b
We need to find b.
Since we are given a point, we substitute x and y with the x- and y-coordinates of the given point and solve for b. x = 6, and y = -3.
y = -2/3 x + b
-3 = (-2/3)(6) + b
-3 = -4 + b
1 = b
Now that we know b = 1, we can write the equation.
y = -2/3 x + b
y = -2/3 x + 1
Yes, because there’s an exponent to the power of 2 therefore it will from a u shape
Answer:
13)x=59 answer is d 14)x=24
Step-by-step explanation:
180-116(angles on a striaght line sum to 180)180-116=64
angle in a triangle sum to 180
64+x=180
64+57=121
180-121=59
x=59
question 14 answer is 24
90+66=156
sum of a triangle is 180
180-156=24
Answer:
a₅ = 96
Step-by-step explanation:
We know that:
a₁ = 6
aₙ = -2*aₙ₋₁
Then we want to find the value of a₅
We can do it in two ways, we can use the relation to find the terms as:
a₂ = -2*a₁ = -2*6 = -12
a₃ = -2*a₂ = -2*(-12) = 24
a₄ = -2*a₃ = -2*24 = -48
a₅ = -2*a₄ = -2*(-48) = 96
Then we have a₅ = 96
And we know that this is a geometric sequence, where the ratio between terms is -2, then the n-th term can be written as:
aₙ = a₁*r^(n - 1)
where r is the ratio, in this case, r = -2 and a₁ = 6
Then:
aₙ = 6*(-2)^(n -1)
then:
a₅ = 6*(-2)^(5 - 1) = 6*(-2)^4 = 96
After a long era of pleasurable thought, I have an interpretation for you, but it is rigorously restricted by the truth that I have no notion of what to reply because I subsist as an efficacious demon.
It's stealing my children, right?
