Answer:
22.84, 5.83
Step-by-step explanation:
Pythagoras theorem states that: a^2+b^2=c^2
So, for red triangle, it will be: 9^2+21^2=b^2
81+441=b^2
522=b^2
square root of 522=b
22.84=b
For purple one,
3^2+5^2=a^2
9+25=a^2
34=a^2
square root of 34=a
5.83=a
You can use this equation $598.30+X=$954.70
Answer:
(x-12) (x+7)
Step-by-step explanation:
Answer:
Step-by-step explanation:
Vertex form is accomplished by completing the square on the quadratic. Do this by first setting the parabola equal to 0 then moving the constant over to the other side:
Now take half the linear term, square it, and add it to both sides. Our linear term is 6. Half of 6 is 3, and 3 squared is 9:
The reason we do this is to create a perfect square binomial on the left:
(obviously the 0 results from the addition of 9 and -9). Move the 0 back over to the other side and set the quadratic back equal to y:
This gives you a vertex of (-3, 0), which is a minimum value, since the parabola opens upwards.
Answer:
(2,2)
Step-by-step explanation:
Given equations
x-3y=-4-------------------------------(1)
y=-3x+8.------------------------------(2)
Substitute 2 in 1. This means use the value of y in equation 1, to replace y
x-3(-3x+8)=-4------------------open brackets
x+9x-24=-4---------------------collect like terms
10x=-4+24
10x=20---------------------------divide by 10 both sides to get value of x
10x/10=20/10=2
x=2------------------------------use value of x in equation (2) to get value of y
y=-3x+8
y=-3(2)+8
y=-6+8=2
solutions
x=2, y=2
