Answer:
D.648 inches
Step-by-step explanation:
A yard is a unit that mostly used in America and Canadia to measure the length of something field-size, so it's used a lot in sport. One yard equal to three feet, while one foot equals to 12 inches. There is a higher unit than yard called miles which equals to 1760 yards or 1.60934 kilometers.
Since the measurement is 18 yards, the length in feet will be: 18 yards * 3 feet/yard= 54 feet.
The measurement in inch will be: 54 feet * 12 inches/feet = 648 inches.
Answer:
y = - 8x² + 6
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (0, 6), thus
y = a(x - 0)² + 6, that is
y = ax² + 6
To find a substitute (- 1, - 2) into the equation
- 2 = a(- 1)² + 6, that is
- 2 = a + 6 ( subtract 6 from both sides )
- 8 = a
y = - 8x² + 6
27 * 35
= 20*35 + 7 * 35
= 700 + 245
= 945
Ok, first group x terms
f(x)=(x²+4x)-8
factor out quadratic coefient (no need but that's the step)
f(x)=1(x²+4x)-8
take 1/2 of the linear coefient and square it
4/2=2, (2)²=4
add positive and negative of it insides the parenthasees
f(x)=1(x²+4x+4-4)-8
factor perfect square
f(x)=1((x+2)²-4)-8
distribute
f(x)=1(x+2)²-4-8
f(x)=1(x+2)²-12
and, now if we wanted to find the x intercepts where f(x)=0 then
0=1(x+2)²-12
12=(x+2)²
+/-2√3=x+2
-2+/-2√3=x
x=-2+2√3 or -2-2√3
that is where the x intercept are
and completed square form is
f(x)=(x+2)²-12
I believe I already explained this the numbers are 35 and 36 but if you need an explanation someone else posted the same question, but maybe it was you. Anyway, good luck!