Answer: Add 9 to both sides to complete the square
Step-by-step explanation:
The formula for the number you need to add to complete the square is (b/2)^2. In this case, b = -6, so:
(b/2)^2 = (-6/2)^2 = (-3)^2 = 9.
(After adding 9 to both sides, you will get x^2 - 6x + 9 = 14 which can be factored to (x - 3)^2 = 14)
Answer:
36 parts water
Step-by-step explanation:
3/9 = 1/3 = for every 1 part concrete, it's 3 parts water.
12/x = 1/3; x = 36
so, 12 x 3 = 36
just multiply 45 time 31!
Answer: 6. x=29yd 7. x-6.5cm
Step-by-step explanation:
6. All the sides of the square are equal (we know this because of the little lines on the sides), and the equation for finding the hypotanuse of a triangle is a^2+b^2=c^2. That's 20^2+21^2=x^2. That simplifies to 841^2=x^2, which then simplifies to x=29.
7. The bottom of the triangles are the same length, so each one is 2.5cm long. The angles are also the same, which means that the triangles are equal, so we have 2 similarities between the triangles, so they are both the same (You'll learn why later in math)
Answer is 5
Explanation:
To go from (-1,0) to (0,5) we have to go up 5 units and right one unit.
Rate of change means slope, which is change in y over change in x.
If our change in y is positive 5 and our change in x is positive one, we can put the rate of change as 5/1
This simplifies to 5.
