Answer:
Step-by-step explanation:
This is written in the standard form of a quadratic function:
where:
- ax² → quadratic term
- bx → linear term
- c → constant
You need to convert this to vertex form:
where:
To find the vertex form, you need to find the vertex. For this, use the equation for axis of symmetry, since this line passes through the vertex:
Using your original equation, identify the a, b, and c terms:
Insert the known values into the equation:
Simplify. Two negatives make a positive:
X is equal to 3 (3,y). Insert the value of x into the standard form equation and solve for y:
Simplify using PEMDAS:
The value of y is -6 (3,-6). Insert these values into the vertex form:
Insert the value of a and simplify:
:Done
Answer:
Step-by-step explanation:
<u>Area of circle:</u>
<u>Circumference of circle:</u>
<u>Given</u>
<u>Find r using the second formula:</u>
- 2πr = 55
- 2*3.14r = 55
- r = 55/6.28
- r = 8.8 (rounded)
<u>Find area using the first formula:</u>
- A = 3.14*8.8²
- A = 243 m² (rounded)
Answer:
1 2/4, 2 3/4, 3, 3 2/4, 3 3/4
Step-by-step explanation:
fraction set up
Ben's estimate gives 7 g of nickel; the actual amount is 8.03 g.
In 1 g of the substance, there is 0.52 g of copper and 0.25 g of zinc; this gives
0.52+0.25 = 0.77 g of the substance.
The remaining part of the substance is nickel:
1-0.77 = 0.23 g of nickel.
Using Ben's estimate, 0.2 g of nickel per gram of substance, we have
0.2(35) = 7 g of nickel in 35 g of the substance.
The actual amount is 0.23(35) = 8.03 g of nickel in 35 g of the substance.
Answer:
Hi... Do this for prove that
