Answer:
3
Step-by-step explanation:
<u>1) Find two corresponding lengths between the image and the pre-image</u>
Pre-image (bottom side) = 3 units
Image (bottom side) = 9 units
We can use any corresponding lengths for this step.
<u>2) Divide the length of the side from the image by the length of the side from the pre-image</u>
9 units ÷ 3 units
= 3
Therefore, the scale factor of the dilation is 3.
I hope this helps!
y=-2
Step-by-step explanation:
if line has zero slope (b) it means that b is undefined.
if x=0 y=-2 because line has no slope. so b=-2
y=-2
Answer:
The correct answer is - C. 11.45 ounces to 11.75 ounces.
Step-by-step explanation:
According to the empirical rule of the distribution for 68% falls under the normal curve falls within 1 standard deviation of the mean.
That is:
μ±δ
From the given information, the mean is
μ = 11.60
and the standard deviation is
δ = 0.15
We substitute the given parameters to obtain;
11.60±0.15
11.75 and 11.45
This means the lower limit is
11.45
and the upper limit is
11.75
<span>a2 – b2 = (a + b)(a – b) or (a – b)(a + b).
This is the 'Difference of Squares' formula we can use to factor the expression.
In order to use the </span><span>'Difference of Squares' formula to factor a binomial, the binomial must contain two perfect squares that are separated by a subtraction symbol.
</span><span>x^2 - 4 fits this, because x^2 and 4 are both perfect squares, and they are separated by a subtraction symbol.
All you do here to factor, is take the square root of each term.
√x^2 = x
√4 = 2
Now that we have our square roots, x and 2, we substitute these numbers into the form (a + b)(a - b).
</span>
<span>(a + b)(a - b)
(x + 2)(x - 2)
Our answer is final </span><span>(x + 2)(x - 2), which can also be written as (x - 2)(x + 2), it doesn't make a difference which order you put it in.
Anyway, Hope this helps!!
Let me know if you need help understanding anything and I'll try to explain as best I can.</span>
Answer:
Mean = Mean is all of the numbers added up and divided by the amount of numbers you have added up. Therefore its 414 ÷ 15 = 27.6
Mode = Most common number = 35
Range = Largest number - Smallest number
40 - 5 = 35
Median = 32 (Middle number)
