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mezya [45]
3 years ago
5

4/5-7/9+1/5 simplify the expression

Mathematics
1 answer:
Olin [163]3 years ago
8 0
.75-.66r-.25 
that should be it
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What is the equation of the quadratic graph with a focus of (-4,17/8) and a directrix of y=15/8
Temka [501]
So hmm notice the graph below

based on where the focus point is at, and the directrix, then, the parabola is opening upwards, meaning the squared variable is the "x"

\bf \begin{array}{llll}
(y-{{ k}})^2=4{{ p}}(x-{{ h}}) \\\\
\boxed{(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}

now, keep in mind, the vertex is at coordinates h,k
the vertex itself is half-way between the focus and directrix
the directrix is at y=15/8 and the focus is at y=17/8
so, half-way will then be \bf \cfrac{17}{8}-\cfrac{15}{8}=\cfrac{2}{8}\iff \cfrac{1}{4}

well, so is 1/4 between the focus point and the directrix, half of that is 1/8
so, if you move from the focus point 1/8 down, you'll get the y-coordinate for the vertex, or 1/8 up from the directrix, since the vertex is equidistant to either

what's the "p" distance? well, we just found it, is just 1/8

so, the x-coordinate is obviously -4, get the y-coordinate by 17/8 - 1/8   or 15/8 + 1/8

and plug your values (x-h)² = 4p(y-k)   and then solve for "y", that's the equation of the quadratic

4 0
3 years ago
The graph of which function(s) will contain the point (4, 12)? y = x + 8 y = 3x y = 2x y = x + 6
Alex777 [14]

Answer:

y=x+8  and y=3x

Step-by-step explanation:

The Given point is (4,12)

now we can substitute the point in each of the function and check wether it lies on it or not.

A.  y=x+8

substitute y=12,x=4

12=4+8=12 which is true

B.  y=3x

substitute y=12,x=4

12=3*4=12 which is true

C.  y=2x

substitute y=12,x=4

12=2*4=8  which is not true

D.  y=x+6

substitute y=12,x=4

12=4+6=10 . which is not true

Therefore option A and B are correct.

4 0
3 years ago
Please helpppp !!!!!!!!!!! Will mark Brianliest correct answer !!!!!!!!!!!!!!!!!!!
BlackZzzverrR [31]

Answer:

Step-by-step explanation:

This is a duplicate of one I have done for you

BF = 3*HF

BF = 3*6

BF = 18

6 0
3 years ago
PLEASE HELP! ASAP Find the Slope of the line<br> Slope = ?/?
Hoochie [10]

Answer:

The slope of the line is 1/2

4 0
2 years ago
A ramp leads up to a building. The top of the ramp is 6 feet above the ground, and the bottom is 16 feet. What is the length of
andre [41]
We could use the Pythagorean theorem for this kind of problem I think:
A^2 + B^2 = C^2
6^2 + 16^2 = C^2
36 + 256 = C^2
292 = C^2
17.08 = C
C = 17.1 to the nearest tenth
Sorry if it’s wrong and glad I could help if it’s right ❤️❤️ Take care!
7 0
2 years ago
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