Answer:
y=-1/3x+1
Step-by-step explanation:
The slope of this line is negative, and is equal to rise over run.
To find slope, count the number of spaces it has moved down or up, and then the number of spaces it has moved left or right.
The y intercept is represented by +1, and is where the line crosses the y axis.
Hope this helps!
Answer:
14. x=-2.5, y = -7
15. x=28 y = -20
Step-by-step explanation:
14. Let's solve this system by elimination. Multiply the first equation by -1.
-1*(4x-y)= -1*(- 3)
-4x +y = 3
Then add this to the second equation.
-4x+y = 3
6x-y= - 8
--------------
2x = -5
Divide each side by 2
x = -2.5
We still need to find y
-4x+y =3
-4(-2.5) + y =3
10 +y =3
Subtract 10 from each side.
y = 3-10
y = -7
15.I will again use elimination to solve this system, because using substitution will give me fractions which are harder to work with. I will elimiate the y variable. Multiply the first equation by 11
11(
5x+6y)= 11*20
55x+66y = 220
Multiply the second equation by -6
-6(9x+11y)=32*(-6)
-54x-66y = -192
Add the modified equations together.
55x+66y = 220
-54x-66y = -192
---------------------------
x = 28
We still need to solve for y
5x+6y = 20
5*28 + 6y =20
140 + 6y = 20
Subtract 140 from each side
6y = -120
Divide by 6
y = -20
The answer is B. Use distance formula...
Answer:
<h2>Area = 90 cm²</h2><h2>Perimeter = 53 cm</h2>
Step-by-step explanation:
area and perimeter of the given diagram
<u>area = 1/2 * base * height</u>
where base = 15 cm
height = 12 cm
plugin values into the formula
area = 1/2 * 15 * 12
area = 90 cm²
<u>Perimeter = add up all sides (AB + AC + BC)</u>
where side BC = √(5² + 12²)
BC = 13 cm
Perimeter = 25cm + 15 cm + 13 cm
Perimeter = 53 cm
23.2% of the total employees is 27,200
0.232x = 27,200
x = 27,200 / 0.232
x = 117,241 (thats rounded) <==
