Let's call the three numbers x, y, and z.
The numbers are 3, 12, and 5.
x + y + z = 20
y = 4x
x + z = 8
We can rewrite the first equation because y is 4x, so
x + 4x + z = 20
5x + z = 20
And now we can use simultaneous equation rules to solve
5x + z = 20
x + z = 8
5x + z = 20
5x + 5z = 40
(subtract)
-4z + -20
÷ -4
z = 5
x + z = 8
x + 5 = 8
x = 3
y = 4x
y = 4 × 3
y = 12
I hope this helps!
Answer:
Step-by-step explanation:
Hey sweetie!
We are given two points: (-7, 9) & (5, 5)
And we are asked to find the slope
To do this only given two points use the Slope-Formula to solve for the slope
m = slope
m = y2-y1/x2-x1
m = 5-9/5–7
m = -4/12
m = - 1/3
The slope will be - 1/3
Final Answer: m = - 1/3
Answer:
The position and orientation of the new angle may vary, but it should have the same angle measure as ∠BAC
.Step-by-step explanation:
Divide 5.00 by 1.5 and you get (it's pretty long) 3.3333333333333333333333333333333
Step-by-step explanation:
tan x = 3/4
Tangent is opposite over adjacent, so draw a right triangle with angle x where the opposite side is 3 and the adjacent side is 4.
Use Pythagorean theorem to find the hypotenuse:
c² = 3² + 4²
c² = 25
c = 5
Sine is opposite over hypotenuse, so:
sin x = 3/5
