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anastassius [24]
3 years ago
12

Calculator

Mathematics
1 answer:
agasfer [191]3 years ago
7 0

Answer:

Step-by-step explanation:

13.5cm

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Which is the standard form of the equation of the parabola that has a vertex of (3, 1) and a directric of x = -2?
vagabundo [1.1K]
Check the picture below.  So,the parabola looks like so, notice the distance "p". since the parabola is opening to the right, then "p" is positive, thus is 5.

\bf \textit{parabola vertex form with focus point distance}\\\\
\begin{array}{llll}
\boxed{(y-{{ k}})^2=4{{ p}}(x-{{ h}})} \\\\
(x-{{ h}})^2=4{{ p}}(y-{{ k}}) \\
\end{array}
\qquad 
\begin{array}{llll}
vertex\ ({{ h}},{{ k}})\\\\
{{ p}}=\textit{distance from vertex to }\\
\qquad \textit{ focus or directrix}
\end{array}\\\\

\bf -------------------------------\\\\
\begin{cases}
h=3\\
k=1\\
p=5
\end{cases}\implies (y-1)^2=4(5)(x-3)\implies (y-1)^2=20(x-3)
\\\\\\
\cfrac{1}{20}(y-1)^2=x-3\implies \boxed{\cfrac{1}{20}(y-1)^2+3=x}

8 0
3 years ago
Read 2 more answers
3. Given ABCD ≅ FGHJ and mC = 9x - 7, mH = 5x + 13, find the value of x and the measures of angle C and angle H. Show all work
Bas_tet [7]
Since congruence and similarity for polygons is posted in a specific order, we know that angle A=angle F, side A=side F, die B=side G, and so on. Therefore, we have that angle C=angle H = 9x-7=5x+13. Subtracting 5x from both sides to separate the x using the subtraction property of equality, we get 4x-7=13. Next, we can add 7 to both sides to get 4x=20, and divide both sides by 4 to isolate the x and get x=5. Plugging that into angle C or angle H, we get that 9x-7=9*5-7=45-7=38=5*5+13.

Feel free to ask further questions!
5 0
3 years ago
The formula for the volume of a cylinder is v= 3.14r^2h. A cylinder has a volume of 300x feet ^3 and a radius of 5 feet
Fudgin [204]

Answer:

Height = 3.82

Step-by-step explanation:

(3.14)(5)²

(3.14)(25)

= 78.5

300 = 78.5h

300/78.5 = 78.5h/78.5

h = 3.821656051 or approximately 3.82

7 0
3 years ago
What is the result when 2/5x + 1 1/4 is subtracted 2/38x - 4 1/9? (NEED ASAP)
Katyanochek1 [597]

Answer:

33 x/ 95  −  103/ 36

Step-by-step explanation: i had too many steps and i cant type them all out.

This answer is only correct if you are talking about subtracting.

7 0
3 years ago
Olivia will attend Blake University this fall. Tuition for one year is $11,350. Olivia plans to earn $1,500 at her work-study jo
g100num [7]

Answer:

4650 add 1500+1800+3400 u get 6700

then you get the tuition cost then subtract it by 6700

your final answer is 4650 dollar

8 0
3 years ago
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