G. From the origin move right 3 units,then up 6 units
H. From the origin move left 2 units,then up 11 units
J. From the origin move right 8 units, then down 10 units
K. From the origin move left 16 units, then down 20 units
L. Plot the first point at the origin then move up 5 units
M. From the origin move left 14 units and plot the next point at the origin
Answer:
Part 1) The equation that can be used is 1.8x-10=-4
Part 2) The input or x-value is x=10/3
Step-by-step explanation:
we have
f(x)=1.8x-10
g(x)=-4
To find the solution of the system of equations equate f(x) and g(x)
f(x)=g(x)
substitute
1.8x-10=-4 -----> equation that can be used to find the input value at which f (x ) = g (x )
Solve for x
Adds 10 both sides
1.8x=-4+10
1.8x=6
Divide by 1.8 both sides
x=6/1.8
Remember that
1.8=18/10
substitute
x=6/(18/10)
x=60/18
Simplify
x=10/3
It will be 2.90 repeating because you will divide 24 by $8.25 and will give you the answer 2.90
Pythagorean Theorem: a^2+b^2=c^2
Plug in values.
15^2+sqrt(207)^2=(12sqrt(3))^2
225+207=432
432=432
Yes, this is a right triangle.
Answer:
16.5 cm
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.
let x be the other leg, then
x² + 13² = 21²
x² + 169 = 441 ( subtract 169 from both sides )
x² = 272 ( take the square root of both sides )
x = 
≈ 16.5 cm ( to the nearest tenth )
