Create a system of linear equations that has the coordinates (birth year, birth month) as its only solution. for example, november 2007 coordinates will be (7,11) they must both be diagonal, not horizontal or vertical. A) graph your system and clearly state your two linear equations.
B) prove algebrically that your solution is (your birth year, your birth month) by subsituition or elimination.
C) verify algebrically that your point (birth year, birth month) is the solution to your system of equations
Answers
Answer:
A) See below
B) (7,11)
C) (7,11)
Step-by-step explanation:
Part B:
I chose the example (7,11)
y = 1/7x + 10
y = 2x -3
I am going to use substation and set the equations equal to each other and solve for x.
1/7 x + 10 = 2x - 3 Subtract 1/7x from both sides
10 = 2x - 1/7 x -3
10 = 14/7 x - 1/7 x - 3
10 = 13/7 x - 3 Add 3 to both sides
13 = 13/7 x multiply both sides by 7/13
7 = x
Substitute 7 for x in either of the original equations
y = 2x - 3
y = 2(7) - 3
y = 11
The solution is (7,11)
Part C - Check:
y = 1/7x + 10
11 = 1/7(7) + 10
11 = 1 + 10
11 = 11 checks
y = 2x - 3
11 = 2(7) - 3
11 = 14 - 3
11 = 11 checks
Helping in the name of Jesus.
Related Questions
Find the value of f(5) for the function f(a)=5(a+1)-6
- 5x = -x - 48x = -11X = 12
The triangles in the picture are congruent by which method.
3 - 24 divided by 8 + 4 square
Answers
Answer with explanation:
All the first element of Ordered pair ,is called Domain of the set. And all the second element of Ordered pair is called Range.
For, the ordered pair, (x,y)
x= Domain
y=Range
For, the Set G ,Consisting of ordered pair
= {(-1, 7),(-8, 2),(0, 0),(6, 6)}
⇒Domain of G = {-1, -8, 0,6}
⇒Range of G= {2, 7, 0, 6}
How much is used for 7 cakes?:)
Answers
150/5=30. 30 grams of sugar are used for each cake
You want to know how many grams for 7 cakes
30x7=210 grams of sugar are used for seven cakes.
Hope this helps!
x g - 7 cakes
(a) Find the approximate length of the plank. Round to the nearest tenth of a foot.
(b) Find the height above the ground where the plank touches the wall. Round to the nearest tenth of a foot.
2. A support wire is strung from a tree. The bottom of the wire is 24 ft from the tree. The length of the wire is 30 ft. Find each of the following values, and show all your work.
(a) Find the value of x. Round to the nearest tenth of a degree.
(b) Find the approximate height where the wire touches the tree. Round to the nearest foot.
Answers
(a) Using sine rule
ground/Sin 49 = plank/Sin 90
But sine 90 = 1, ground = 3 ft
Then,
3/Sin 49 = plank
Length of the plank = 3/Sin 49 ≈ 4.0 ft (rounded to nearest tenth)
(b) Height where the plank touches the wall
wall = Sqrt (plank^2 - ground^2) = Sqrt (4.0^2 - 3.0^2) ≈ 2.6 ft (Rounded to nearest tenth)
Question 2:
(a) Angle x
ground = 24 ft
support wire = 30 ft
Applying sine rule
support wire/Sin 90 = ground/Sin (90-x) ----- but Sin 90 = 1
Then,
Support wire = ground/Sin (90-x)
Sin (90-x) = ground/support wire = 24/30 = 0.8
90-x = Sin^-1(0.8) = 53.13 => x = 90-53.13 = 36.9°
(b) Height where the wire touches the tree (tree)
tree = Sqrt (support wire^2 - ground^2) = Sqrt (30^2 - 24^2) = 18 ft
Answers
♥ X in this case is representing a unknown variable, meaning we are not sure of the number x, and to finish the solution to your problem we have to find x.
♥ So to find x the first step is to simplify both sides of the equation.
♥ Starting with distribution:
♥ Now we want to flip the equation.
♥ Our next and almost final step, is to add the number -3 to both sides of our problem. This is going to help us tremendously.
♥ Now our last step before we get our answer is to divide both sides of the problem. In this case we are going to do this:
♥ And then because of that we get our final answer of: -4.
♥ x=-4 ♥
Answers
Answer:
Step-by-step explanation:
hello :
here is an solution ....
Answers
Answer:
Given
Step-by-step explanation:
A firefighter needs to carry an LED flashlight, a knife or axe, a wax pencil. Every firefighter will put these to use regularly. Two other essential items are dust masks and earplugs. In addition to this they require fire protective gear and clothes.
The angle of the ladder is suitable to be around 75° for rescue operations and for firefighters to climb and perform tasks effectively.
Hope this is helpful..
Answer:
They need to carry LED LIGHTS , Knife
The angle of the ladder is suitable to be around 75° for rescue operations and for firefighters to climb and perform tasks effectively