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Ray Of Light [21]
3 years ago
15

The point (5, -2) is rotated 90° about the origin. Its image is:

Mathematics
1 answer:
OLEGan [10]3 years ago
8 0
If rotated around the origin clockwise the new point is found at (-2,-5)
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Find the value of x (circles)
Marrrta [24]

Answer:

x = 55

Step-by-step explanation:

opposite angles are supplementary

125+x = 180

Subtract 125 from each side

125+x-125 = 180-125

x = 55

6 0
2 years ago
Read 2 more answers
A parabola can be drawn given a focus of (-11, -2) and a directrix of x= -3
fgiga [73]

Check the picture below, so the parabola looks more or less like that.

now, the vertex is half-way between the focus point and the directrix, so that puts it where you see it in the picture, and the horizontal parabola is opening to the left-hand-side, meaning that the distance "P" is negative.

\textit{horizontal parabola vertex form with focus point distance} \\\\ 4p(x- h)=(y- k)^2 \qquad \begin{cases} \stackrel{vertex}{(h,k)}\qquad \stackrel{focus~point}{(h+p,k)}\qquad \stackrel{directrix}{x=h-p}\\\\ p=\textit{distance from vertex to }\\ \qquad \textit{ focus or directrix}\\\\ \stackrel{"p"~is~negative}{op ens~\supset}\qquad \stackrel{"p"~is~positive}{op ens~\subset} \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}

\begin{cases} h=-7\\ k=-2\\ p=-4 \end{cases}\implies 4(-4)[x-(-7)]~~ = ~~[y-(-2)]^2 \\\\\\ -16(x+7)=(y+2)^2\implies x+7=-\cfrac{(y+2)^2}{16}\implies x=-\cfrac{1}{16}(y+2)^2-7

8 0
2 years ago
Two trains leave the station at the same time, one heading west and the other east. the westbound train travels at 80 miles per
Volgvan
80+70=150
270/150=1.8 hours before the two trains are 270 miles apart
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4 0
3 years ago
The question is in the picture please explain.
lapo4ka [179]

Answer:

x = 78

Step-by-step explanation:

Look at Triangle DBH. Two of its angles are known. Let y = <DHB

47 + 31 + y  = 180        All triangles have 180 degrees. Combine the left.

78 + y = 180                Subtract 78 from both sides.

78-78+y = 180-78        Combine

y = 102

Notice that y + x = 180   They form a straight line.

102 + x = 180                   Subtract 102 from both sides.

x = 78

You should notice that x is an exterior angle. (I didn't at first).

Exterior angles are the sum of the two remote interior angles which in this case, are 31 + 47 = 78

Much shorter and much easier.

3 0
3 years ago
The solution of 3x+5=x+9 is ____​
vampirchik [111]

Answer:

x=2

Step-by-step explanation:

move x to the 3x side and move 5 to 9 side.

you get 2x=4

then you divide 2 from both sides and get 2

4 0
2 years ago
Read 2 more answers
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