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schepotkina [342]
3 years ago
14

PLZZZZ HELP MEEEE!!!! (30 points)

Mathematics
1 answer:
enot [183]3 years ago
4 0

Answer:

Step-by-step explanation:

Slope is the rise (y) over the run (x) between 2 points on a graph. This means that from one point go up (or down) first, then count over from that first point right (or left). A positive number on top indicates "up" and a negative number on top indicates "down"; a positive number on bottom indicates "right" while a negative number on bottom indicates "left". Keep in mind the following:

\frac{-y}{x} =\frac{y}{-x} =-\frac{y}{x}

It doesn't matter where you "put" the negative, your slope will come out correct as long as you are moving from one point to the other correctly.

Our given slope is 4/5. They are both positive, so that means from the red point on the left ("read" a graph from left to right, just like you're reading this) we will go up 4 units. From where we "land" we will go right 5 units. As you can see, the only graph that lands on the red dot on the right when we follow that slope is the second one.

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How do you do question b?
notsponge [240]

Part (b)

We use the result of part (a) and plug in (x,y) = (0,0). This is directly from the initial condition y(0) = 0.

\arcsin(4y) = x^2 + C\\\\\arcsin(4*0) = (0)^2 + C\\\\\arcsin(0) = C\\\\0 = C\\\\C = 0\\\\

-----------------

This means,

\arcsin(4y) = x^2 + C\\\\\arcsin(4y) = x^2 + 0\\\\\arcsin(4y) = x^2\\\\4y = \sin(x^2)\\\\y = \frac{1}{4}\sin(x^2)\\\\

is the solution with the initial condition y(0) = 0.

6 0
3 years ago
What is the equation in vertex form of the quadratic function with a vertex at (-1, -4) that goes through (1, 8)?
cestrela7 [59]

Answer:

y = 3(x+1)^2 - 4

Step-by-step explanation:The general form of the equation of a quadratic function whose vertex is (h,k) and whose leading coefficient is a is:

y - k = a(x-h)^2, or

y      = a(x-h)^2 - k

Substituting the coefficients of the vertex (-1, -4), we get:

y      = a(x + 1)^2 - 4

Substituting the coordinates of the given point, (1,8), we get:

8      = a(1+1)^2 - 4, which simplifies to:

8      = a(2)^2 - 4, or

8  = 4a - 4.  Then 4a = 12, and a = 3.

Thus, the desired equation is y = 3(x+1)^2 - 4 (answer j).


5 0
4 years ago
Find the number of real number solutions for the equation. x2 – 18 = 0
madam [21]
x ^ 2 - 18 = 0
 For this case, the first thing you should do is rewrite the expression:
 x ^ 2 - 18 = 0
 x ^ 2 = 18
 The solutions for this case are:
 x1 = root (18)
 x2 = -raiz (18)
 Therefore the answer is:
 2 solutions of real numbers.
 Answer:
 2
6 0
3 years ago
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A scientist measures the water temperature in the Gulf at Gulfport on the fifteenth of each month. Her data is shown in the tabl
andrew-mc [135]
The average rate of change between March 15 and June 15 will be given by:
(82.4-66.8)/(6-3)
=15.6/3
=5.2° F per month

Answer: C
6 0
3 years ago
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How many degrees are in a half of a full turn? another dumb question lol
valentina_108 [34]
160
Is the the answers r I did this before trust me
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