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.
Answer: The area is 2,193 square feet (2,193 ft²)
Step-by-step explanation:The rectangular garden has its sides yet unknown but what we do know is that its length is 8 feet longer than its width. If therefore the width is W, then the length would be W + 8.
The perimeter is calculated as follows;
Perimeter = 2(L + W)
We can now substitute for the values given as follows;
188 = 2(W + 8 + W)
188 = 2(2W + 8)
188 = 4W + 16
Subtract 16 from both sides of the equation
172 = 4W
Divide both sides of the equation by 4
43 = W
If the width is 43, and the length is W + 8, then length equals 43 + 8 which gives us 51
Therefore the area is calculated as follows;
Area = L x W
Area = 51 x 43
Area = 2193
The area of the rectangular garden is 2,193 square feet
Step-by-step explanation:
Result:
1.5 - 1 1/5 = 3/10 = 0.3
Spelled result in words is three tenths.
How do you solve fractions step by step?
Conversion a decimal number to a fraction: 1.5 = 15/10 = 3/2
a) Write down the decimal 1.5 divided by 1: 1.5 = 1.5/1
b) Multiply both top and bottom by 10 for every number after the decimal point. (For example, if there are two numbers after the decimal point, then use 100, if there are three then use 1000, etc.)
1.5/1 = 15/10
Note: 15/10 is called a decimal fraction.
c) Simplify and reduce the fraction
15/10 = 3 * 5/2 * 5 = 3 * 5/2 * 5 = 3/2
Conversion a mixed number 11/5 to a improper fraction: 1 1/5 = 1 1/5 = 1 · 5 + 1/5 = 5 + 1/5= 6/5
Answer:
Step-by-step explanation:
B
