Answer:
(-2, 1)
(2, 5)
Please solve the third question and answer in the comments and I will tell you if you are correct.
Step-by-step explanation:
1)Find the solution of the following system of equations; express the answer as a coordinate pair (x,y):
y = x + 3 subtract from the bottom and solve for x
y = -2x - 3
y - y = x - (-2x) + 3 - (-3)
0 = 3x + 6
-6 = 3x
-2 = x
y = x + 3 y = -2 + 3 y = 1 (-2, 1)
2)Find the solution of the following system of equations; express the
answer as a coordinate pair (x,y):
y = 2x + 1 subtract from the bottom and solve for x
y = x/2 + 4
y-y = 2x - 1/2 x +1 - 4
0 = x(2-1/2) - 3
3 = 1.5x
2 = x y = 2x + 1 y = 2(2) + 1 y = 5 (2, 5)
3) Find the solution of the following system of equations; express the
answer as a coordinate pair (x,y):
y = -3x + 6 subtract from the bottom and solve for x
y= -1/2x+1
y-y = x(-3 - (-1/2)) + (6 - 1) follow the examples above
Answer:
The answer to your question is 8.5 m
Step-by-step explanation:
Data
angle = Ф = 12°
dept = 40 m
distance from the ship to the treasure = ?
Process
To solve this problem use trigonometric functions. The trigonometric function that relates the Opposite side and the adjacent side is tangent.
tan Ф = Opposite side / Adjacent side
-Solve for Opposite side
Opposite side = Adjacent side x tanФ
-Substitution
Opposite side = 40 x tan 12
-Simplification
Opposite side = 8.5 m
Right now we have:
5kx + 6 = 7kx
First, divide both sides by k to eliminate that variable:
5x + 6 = 7x
Then subtract 5x from each side:
6 = 2x
Lastly, divide each side by 2 to solve for x:
3 = x
Hope this helps!
Answer:
345,456
Step-by-step explanation:
The value of 3 in 135,864 is 30,000.
We want to write a number that is ten times 30,000.
We could write any other number in which the value of 3 is 300,000.
There are infinitely many numbers that we can write.
Some examples are:
345,456
1,315,445
5,354,456
and so on and so forth.
Volume of a cone = 1/3πr²h
r = 5.7/2 = 2.85
h = 12
Volume of original design =1/3π(2.85)²(12)
= 32.49π
= 102.07.....
Linear scale factor = 1.5 = 3/2
Volumetric scale factor = (3/2)³ = 27/8
Volume of revised design = 102.07..... × 27/8
= 344.487..... ⇒ 344.5 in³