50% of 300 is 150
30% of 180kg is 54
25% of 68ib is 17
70% of 260 is 182
75$ of 292 is 219
I hope that this is right.
Answer:
C is the answer.
Step-by-step explanation:
What you do is you plug the numbers in to the equation according to the x and y.
So we will solve for y.
(3, 6) and (1, -2) is what you will be using. The 3 and 1 are the x and the 6 and -2 are the y.
So lets look at number C. y-2=4(x+1). You will add an x number into the x like this. y-2=4(3+1). You will then do the distributive property to get y-2=12+4.
You will then add 12 and 4 together to get y-2=16. You will then take the 2 and add it to the 16. to get y=18.
See how that doesn't equal 6 or -2 because those are y's. So C is the answer.
Answer:
D) 154 feet
Step-by-step explanation:
The angle is less than 45°, so you know the distance will be more than 89 feet. There is only one choice in that range.
_____
The mnemonic SOH CAH TOA reminds you ...
... Tan = Opposite/Adjacent
so ...
... tan(30°) = (89 ft)/(distance to boat)
Then ...
... distance to boat = (89 ft)/tan(30°) ≈ 154 ft
Answer:
x = 3/2 or 1.5
Step-by-step explanation:
distribute 3 to the 2x and -1 by multiplying
6x - 3 = 6
add 3 to both sides to get 6x by itself and it keeps both sides equal
6x = 9
divide by 6
x = 9/6 = 3/2
x = 3/2
The standard eqn of a parabola in vertex form is y-k = a(x-h)^2, where (h,k) is the vertex. There are a good number of steps involved. I don't think it wise not to "show work." I cannot answer this question without going through all those steps.
However, there's an easier way to find the vertex. Identify the coefficients a, b and c:
a= -4, b= -3 and c = 1
Then the x-coord. of the vertex is x = -b / (2a). Subst. -3 for b and -4 for a and simplify. x = ??
Then find the y-coord. of the vertex by subbing your result, above, into the original equation.
Write the vertex as (h,k).
Once you have this vertex, you can find the equation in vertex form as follows:
Start with the general form y-k = a(x-h)^2, where (h,k) is the vertex.
You've already found the vertex (h,k). Subst. h and k into the general form, above. Then only the coefficient "a" remains undefined.
