- Vertex/General Form: y = a(x - h)^2 + k, with (h,k) as the vertex
- (x + y)^2 = x^2 + 2xy + y^2
- Standard Form: y = ax^2 + bx + c
So before I put the equation into standard form, I'm first going to be putting it into vertex form. Since the vertex appears to be (-1,7), plug that into the vertex form formula:
Next, we need to solve for a. Looking at this graph, another point that is in this line is the y-intercept (0,5). Plug (0,5) into the x and y placeholders and solve for a as such:
Now we know that <u>our vertex form equation is y = -2(x + 1)^2 + 7.</u>
However, we need to convert this into standard form still, and we can do it as such:
Firstly, solve the exponent:
Next, foil -2(x^2+2x+1):
Next, combine like terms and <u>your final answer will be: </u>
Answer:
$1.90 approx
Step-by-step explanation:
Given data
Amount paid= $74.94
Amount of gallons= 201/5 gallons of gas
= 201/5
=40.2 gallons
let us find the unit cost per gallons
Unit cost per gallon is = 74.94/40.2
Unit cost per gallon=$1.86
The price of gas is $1.90 approx
Similar triangles can be extremely useful in architecture. For example, similar triangles can help represent doors and how far they swing. Also when using shadows that make the triangles you can use them to find the height of an actual object they can be used to construct many architectural designs and monuments for e.g, bridges. You can also determine values that you can’t directly measure. For e.g you. Can measure the length of your shadow and a tree’s shadow on a sunny day.
Answer:
Step 2
Step-by-step explanation:
In step 2 the expression was 40+20 which would have been 60 but he might have thought addition sign was subtraction so he did 40-20 which is 20 so he is wrong made mistake in step 2
Answer:
4 is a percent of 15 is 0.6
Step-by-step explanation:
if you out 15/0.6 as a fraction you will get 4