Answer:
y=2x-16
Step-by-step explanation:
So since we have a point and the slope, we can use the point-slope equation to find our equation of a line
y - y₁ = m(x - x₁)
Here our (x₁, y₁) point is (4, -8) and our m is 2
Plugging in these values to our equation gives us:
y - (-8) = 2(x - (4)) → distributing the negative to the -8 gives y + 8 = 2(x - 4) → distributing the 2 to the (x - 4) gives y + 8 = 2x - 8 → and finally subtracting the 8 from both sides gives our equation of a line y = 2x - 16
Answer: 29 = 5/6
Step-by-step explanation:
first you would convert 1 2/3 into a improper faction. So you would multiply 1 and 3 then add 2 so 5/3 then multiply that by 1/2. You would multiply the numerators and denominators, so 5 times 1 and 3 times 2 which gives you 5/6.
It's probably the first one: "People responded to Earth Day with letters..."
Since it's more of a detail that supports a fact, it's not as important as the other three.
Length (L): 2w + 4
width (w): w
Perimeter (P) = 2L + 2w
68 = 2(2w + 4) + 2(w)
68 = 4w + 8 + 2w
68 = 6w + 8
60 = 6w
10 = w
Length (L): 2w + 4 = 2(10) + 4 = 20 + 4 = 24
Answer: width = 10 feet, length = 24 feet
Multiply the values of a and c together;
9*30= 270 <— find prime factors of this
270= 3*3*3*5*2
Now find a way to add these factors in different ways to give 33 (b value)
We can try (3*3*2)+(3*5)=?
18+15=33
Now that you know the numbers, break down the b value.
9x^2+18x+15x+30
9x(x+2)+15(x+2) <— make sure the brackets are the same
(9x+15)(x+2) <— check if this expands to the initial answer
Hope I helped :)
