Can someone help me with this problem please?
1 answer:
If you're going to ask for help, you may as well ask for help from an app designed for the purpose. This app is available for both Android and iOS devices. My TI-83/84 calculator also has a triangle solver app.
(A) There is only one possible solution
b = 16.3
C = 26°
B = 87°
_____
If you want to do this yourself, you can use the Law of Sines to find angle C.
.. C = arcsin(7.1/15*sin(67°)) ≈ 25.8302° . . . . don't round intermediate values
Then angle B is 180° -67° -angle C = 87.1698°
and side b is found from the Law of Sines:
.. b = 15*sin(C)/sin(A) ≈ 16.2755
(A) There is only one possible solution
b = 16.3
C = 26°
B = 87°
_____
If you want to do this yourself, you can use the Law of Sines to find angle C.
.. C = arcsin(7.1/15*sin(67°)) ≈ 25.8302° . . . . don't round intermediate values
Then angle B is 180° -67° -angle C = 87.1698°
and side b is found from the Law of Sines:
.. b = 15*sin(C)/sin(A) ≈ 16.2755
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Answer:
A. (3,2)
Step-by-step explanation:
One way to solve without graphing
equate both equations to each other:
add x on both sides:
add 4 on both sides:
collect like terms:
divide 3 on both sides, so
now that we have x, go back to any one of the equations and substitute x=3 to find y. I'll use y=2x-4
sub x=3
2 × 3 is 6
we now have x and y, so the coordinates are (3,2)
If you want to use the graphing method, substitute in x values of your choice, for example -2 to 2 into each equation to find y and when there is a same coordinate in both equations that is the solution.
y = 2x - 4
when x is -2, y = 2(-2)-4 = -8. (-2,-8)
when x is -1, y = 2(-1) - 4= -6. (-1,-6)
when x is 0, y = 2(0)-4 = -4. (0,-4)
when x is 1, y = 2(1) - 4 = -2. (1,-2)
when x is 2, y = 2(2) - 4 = 0. (2,0)
when x is 3, y = 2(3) - 4 = 2. (3,2)
do the same thing of substituting to the other equation
y = -x + 5
when x is -2, y is 7 (-2,7)
when x is -1, y is 6. (-1,6)
when x is 0, y is 5. (0,5)
when x is 1, y is 4. (1,4)
when x is 2, y is 3. (2,3)
when x is 3, y is 2. (3,2)
plot these coordinates on a graph
they both have same x value (3) and same y value (2)