the first image is the question the second is the answer, and i need the in between of how the heck do i do this. the final is t
mrw please help!
2 answers:
Step-by-step explanation:
First, set the equations as equal to eachother because both equal y:
Now, solve to get everything on one side of the equation so that the other side of the equation is set to 0:
Now use the sum product pattern:
(as you can see, the above equation is equivalent to the previous equation, but there are now four values instead of three)
Now take the common factor from the two pairs:
Rewrite in factored form:
Now to get both values of x, set each factored equation to 0 and solve for x (becuase remember, the equation still equals 0):
NOW that we have both values of x, we can subsitute them into EITHER equation and solve to get the corresponding y values:
So that's how we solve to get these coordinates: (8,9) & (-1,0).
Good luck on your final and I hope I was able to help :)
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Since this is part of a packet, there's a lot of prior knowledge you need to understand the question.
1) The angle of elevation is the angle between the horizontal and the light of sight from the object to the observer (see picture 1).
2) A lot of the units are from work done by an Indian astronomer. The line of sight (light blue in picture 1) is r = 3438 (I think you might have forgotten to finish writing the number). r, or 3438, is the distance from the earth to the sun used by Indian Astronomers.
3) The table shows units in jya(θ<span>°). Jya is a Sanskrit (ancient Indian language) word. It stands for the length of half of a chord that connects two endpoints of a circle (kinda confusing and more information than you need to know - but it's the green line in picture 2).
What's important is: </span>jya(θ°) = r*sin(θ°)
Now let's tackle the problem:
1) You know that the angle of elevation is 67.5°. Using the chart, the only important value is the second from the bottom. jya(67.5°) = 3177.
2) Remember that jya(θ°) = r*sin(θ°).
Also remember that sine of an angle is
. In this problem, r, the distance from the earth to the sun, happens to be the hypotenuse of the triangle since its the longest edge.
3) Notice that you're dividing jya(θ°) (aka r*sin(θ°)) by r = 3438. That will give you sin(θ°) by itself. Then you're multiplying that sin(θ°) by 1 AU, which we are told is the actual distance of the hypotenuse/distance from earth to sun. Since sine = that gives you the apparent length of the opposite side = apparent height of the sun.
The math is a bit weird, but you're basically multiplying sine by the apparent distance 1AU to get the apparent height, instead of multiplying sine by the estimated height r = 3438. Dividing 3177 by 3438 gives you sin(67.5°). Then multiplying sin(67.5°) by the apparent hypotenuse, 1AU, gives you the apparent height. That's how I'm understanding it!
1) The angle of elevation is the angle between the horizontal and the light of sight from the object to the observer (see picture 1).
2) A lot of the units are from work done by an Indian astronomer. The line of sight (light blue in picture 1) is r = 3438 (I think you might have forgotten to finish writing the number). r, or 3438, is the distance from the earth to the sun used by Indian Astronomers.
3) The table shows units in jya(θ<span>°). Jya is a Sanskrit (ancient Indian language) word. It stands for the length of half of a chord that connects two endpoints of a circle (kinda confusing and more information than you need to know - but it's the green line in picture 2).
What's important is: </span>jya(θ°) = r*sin(θ°)
Now let's tackle the problem:
1) You know that the angle of elevation is 67.5°. Using the chart, the only important value is the second from the bottom. jya(67.5°) = 3177.
2) Remember that jya(θ°) = r*sin(θ°).
Also remember that sine of an angle is
3) Notice that you're dividing jya(θ°) (aka r*sin(θ°)) by r = 3438. That will give you sin(θ°) by itself. Then you're multiplying that sin(θ°) by 1 AU, which we are told is the actual distance of the hypotenuse/distance from earth to sun. Since sine =
The math is a bit weird, but you're basically multiplying sine by the apparent distance 1AU to get the apparent height, instead of multiplying sine by the estimated height r = 3438. Dividing 3177 by 3438 gives you sin(67.5°). Then multiplying sin(67.5°) by the apparent hypotenuse, 1AU, gives you the apparent height. That's how I'm understanding it!
Answer:
slope =
Step-by-step explanation:
The slope of a line can be found by identifying two points and the graph and finding the overall change in y over the change in x:
Using the points on the given graph of (-3, 2) and (1, -2):
So, slope =