Base on the question where as asking what point would be the center or the rotation if the triangle is rotated 180 degree and the pre image should touch the original image more that ones, base on that, the possible answers would be point D, E and F, if they are in the center of the triangle
Answer:
L = 6, w = 2
Step-by-step explanation:
Let w = width of rectangle
Let L = length of rectangle
w = L - 4
Area of rectangle = Lw
L (L - 4) = 12
L^2 - 4L = 12
L^2 - 4L - 12 = 0
(L - 6)(L + 2) = 0
L - 6 = 0
L = 6 (the other option doesn't work because dimensions can't be negative)
w = L - 4
w = 6 - 4
w = 2
Double check
A = Lw
A = 6 x 2
A = 12
It matches so we are right.
Answer:
Check the attached graph
Step-by-step explanation:
Given equation is 
.
Now we need to graph the given equation ..
Clearly it is not linear as equation is not of the form 
. So we need to find some points on given equation . by plugging some random values of x like -5,-3,1,... etc.
for x=-5, we get:
.
Hence first point is at (-5,-2). Similarly we can find more points and graph those points.
x can't be 0 as division by 0 is not defined so it will have vertical asymptote at x=0.
Since degree of numerator is less than degree of denominator so y=0 will be horizontal asymptote.
Now join those points by a curved line to get final graph.
Answer:
The graph in the attached figure
Step-by-step explanation:
we have
Find the intercepts
<u>The y-intercept</u> is the value of y when the value of x is equal to zero
so
For x=0 -----> 
The y-intercept is the point (0,-1)
<u>The x-intercept </u>is the value of x when the value of y is equal to zero
so
For y=0 -----> 
----->
The x-intercept is the point (-1,0)
<em>Find the domain</em>
we know that
The radicand must be positive
so
All real numbers greater than or equal to -1
The range is all real numbers less than or equal to -1
using a graphing tool
see the attached figure
So to do this, you would use the formula:
Number of favorable outcomes
________________________
Total number of outcomes.
In the first question you are asked: Probability of an even number being spun. We can see that there are 4 even numbers, which is our favorable outcome and that over the number of outcomes, which is 8, would be 4/8 = 0.5 or 50%. Therefore the answer to #1 is 0.5 as a decimal or 50% as a percent. (Do it the way the directions tell you to).
In the second question you are asked the probability to spin a number greater than 3. This does not include 3, so you have 4, 5, 6, 7, and 8. That is 5 numbers. 5 numbers divided by the total number of outcomes is 5/8, which is equal to 0.625, or 62.5%. Therefore the answer to #2 is 0.625 as a decimal or 62.5% as a percent.
The third question asks for the probability that an odd number would be spun. We can see the odd numbers are: 1,3,5,7. This is 4 favorable outcomes divided by 8, the total number of outcomes. 4/8 is equal to 0.5 or 50%. Therefore the answer to #3 is 50% as a percent or 0.5 as decimal.
Hope this helps. Please rate, leave a thanks, and mark a brainliest answer. (Not necessarily mine). Thanks, it really helps!
