Answer:
A. x=2, y = 7.
B. (2, 7).
Step-by-step explanation:
A. You can eliminate y by subtracting the equations:
y = 8x - 9
y = 4x - 1 Subtract:
0 = 4x - 8
4x = 8
x = 8/4 = 2.
Now substitute for x in the first equation:
y = 8(2) - 9 = 7.
Check in the second equation:
y = 4x - 1
7 = 4(2) - 1 = 7. Check is OK.
B. On the graph they will intersect at the point (2, 7).
They will intersect here because the values x=2 and y=7 satisfy both the 2 equations.
Answer:
m = 18
k = 4
g = 50
s = 18
y = 9
f = 19
Step-by-step explanation:
The following that are mathematical sentences are b,c
Answer:
Step-by-step explanation:
The given trigonometric equation is
for 
.
We divide through by 5 to get;
We take the inverse tangent of both sides to obtain;
Since the tangent ratio is positive, it means 
could also be in the 3rd quadrant. But this is outside the given range.
Therefore the correct answer is A
Using proportions, the coordinates of point G are given as follows:
(1.8, 1.6).
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.
The points A and B are given as follows:
A(-3, 4) and B(5,0).
For this problem, we have that the ratio of AG to GB is 3:2, hence:
AG = 3/5AB
G - A = 3/5(B - A).
The x-coordinate of G is found as follows:
x + 3 = 3/5(5 + 3)
x + 3 = 4.8
x = 1.8.
The y-coordinate of G is found as follows:
y - 4 = 3/5(0 - 4)
y - 4 = -2.4
y = 1.6.
Hence the coordinates of point G are given as follows:
(1.8, 1.6).
More can be learned about proportions at brainly.com/question/24372153
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