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
Acute-The angle is less than 90 degrees
Equilateral-All sides are equal in length
Isosceles-Two of the sides are equal in length
Scalene-None of the sides are equal in length
Right-The angle is 90 degrees
Obtuse-The angle is greater than 90 degrees
We can see that none of the sides are the same length, so we know that it must be scalene. We can also see that every angle is less than 90 degrees, so we know that is must be acute.
The triangle is scalene and acute.
Hope this helps!!
Answer:
$1,190
Step-by-step explanation:
$850(0.25) = 212.50
$850(0.15) = 127.50
$850+212.50= 1,062.50
1,062.50+127.50= 1,190
Answer:
y=1/3x+4
Step-by-step explanation:
