Answer:
its 60 / (72/12) + 34 = 44. So divide, divide, add.
Step-by-step explanation:
First, solve the what's in the parentheses. 72/12 = 6.
60/6 = 10.
34+10 = 44.
Answer:
x=7
Step-by-step explanation:
The two angles are alternate interior angles. If they lines are parallel, then the angles are equal.
7x-7 = 4x+14
Subtract 4x from each side
7x-4x -7 = 4x-4x+14
3x-7 = 14
Add 7 to each side
3x-7+7 = 14+7
3x=21
Divide by 3
3x/3 =21/3
x=7
Yes it is.
2(5/8)=(2*5)/8=10/8
10(1/8)=(10*1)/8=10/8
Answer:
B) -1
Step-by-step explanation:
This is the equation of a parabola which can be expressed as
y = a(x-h)² + k (1)
where (h, k) are the coordinates of the vertex which is the minimum or maximum of the graph. Strict definition is where the parabola intersects the line of symmetry ie the line which cuts a shape into half
Parabolas are symmetric around the line of symmetry
Here we see the vertex is at x = 0, y = 9 (0,9) so h=0 and k = 9
Substituting equation (1) we get
y = a(x -0)² + 9 = ax² + 9
To find a all we have to do is choose any point on the parabola, plug its x and y values into the parabola equation above
A convenient point is where the parabola intersects the positive x axis. Here x = 3 and y = 0
Plugging these values we get
0 = a(3)² + 9
a = -9/9 = -1
When you multiply powers, (add) the exponents.
When you divide powers, (subtract) the exponents.
When you raise a power to a power, (multiply) the exponents.
Anything to the zero power equals (1).
When you have a negative exponent, (flip it) and make it (positive).
33) A
34) 3/(x^2)
35) 192 * x^5 * y^11
