The answer would be D. (2,2)
Since the scale factor is 1/2, all you have to do is multiply 1/2 by each of x-coordinate and y-coordinate of Q.
Multiplying by 1/2 is the same as dividing by 2, so you divide the x and y coordinates of Q to get the dilation image of Q as (2,2).
Hello! And thank you for your question!
First move all the terms to one side:
<span>x^<span><span>2</span><span></span></span></span>−4x−9−29=<span>0
</span>
Then simplify x^2−4x−9−29:
<span><span><span>x<span><span>^2</span><span></span></span></span>−4x−38=0</span><span>
Then use the quadratic formula:
x = 4 + 2</span>√42 over 2 , 4 - 2√42 over 2
Finally simplify:
x = 2 + √42, 2 - √42
Final Answer:
x = 2 + √42, 2 - √42
</span>
Answer: 284 cubes.
Step-by-step explanation:
By definition, the volume of a rectangular prism can be calculated by multiplying its dimensions.
Knowing that the dimensions of this box are
, we get that the volume of the box is:

The formula for calculate the volume of a cube is:

Where "s" is the lenght of a side.
Kwnowing that the a cube has a side of 1.5 cm, we get that the volume of one cube is:
Dividing
by
we get the greatest number of cubes that can fit in the box:

Answer:
B
Step-by-step explanation:
Since the equation is all positive, the curve should concave towards the 4th quadrant.
Answer:
The correct options are C and D
C. A translation of 5 units up
D. A reflection about the x-axis
Step-by-step explanation:
We have been given as function of the graph:
f(x) = x²
Which is transformed into the function
g(x) = -(x-2)² + 5
Consider the graph of y = x²
To convert it into the graph of given transformed function.
First reflect the graph over x-axis, the equation becomes
y = -(x)²
Then translate the graph 2 units to the right
y = -(x - 2)²
Then translate the graph 5 units up.
y = -(x - 2)² + 5
Thus, the correct statements are C and D