What's the answer to this
1 answer:
Answer:
AC ≈ 17.3 , BC ≈ 5.3
Step-by-step explanation:
using the tangent ratio in right triangle ACD
tan51° = =
=
( multiply both sides by 14 )
14 × tan51° = AC , then
AC ≈ 17.3 ( to the nearest tenth )
using the cosine ratio in right triangle ABC
cos72° = =
=
( multiply both sides by 17.3 )
17.3 × cos72° = BC , then
BC ≈ 5.3 ( to the nearest tenth )
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Let p be the prize of a pen and m the prize of a mechanical pencils. If you buy six pens and one mechanical pencil, you spend 6p+m. We know that this equals 9, because you get 1$ change from a 10$ bill.
Similarly, if you buy four pens and two mechanical pencils, you spend 4p+2m, which is 8$, because now you get a $2 change. Put these equation together in a system:
Now, if you multiply the first equation by 2, the system becomes
Subtract the second equation from the first:
Plug this value into the first equation to get
Answer:
Solution: (-1, -1)
Step-by-step explanation:
y=4x+2
y=-4/3x-2
Solve by graphing.
First, you need to plot the y-intercept.
y=4x+<u>2</u>
2 will be your y-intercept.
Next, you plot your slope.
y=<u>4x</u>+2
From your y-intercept, you will go up 4 and right one space, if you run out of space go down 4 and left 1.
Now repeat the same steps for the next one.
y=-4/3x<u>-2</u>
Plot your y-intercept.
y=<u>-4/3x</u>-2
because your slope is negative you will go down 4 and right 3, if you run out of room go up 4 and left 3.
Then draw connecting lines and wherever the lines intersect, that's going to be your solution. In this case, the solution is (-1, -1).
Hope this helps :)
The solution to the given system of linear equations is (3, -1)
<h3>Graph of Linear Equations</h3>From the question, we are to determine the graph of the system of linear equations
The given system of equations is
x - 2y = 5
3x + 15y = -6
The graph of the given system of equation is shown below
From the graph,
The point of intersection of the lines is at (3, -1)
Hence, the solution to the given system of linear equations is (3, -1)
Learn more on Graph of Linear equations here: brainly.com/question/14323743
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