Answer:
(-6,1)
Step-by-step explanation:
A. Reflection
When you reflect a point (x, y) across the x-axis, the x-coordinate remains the same, but the y-coordinate gets the opposite sign.
Thus, D (-3,-1) ⟶ D' (-3, 1)
B. Translation
When you translate a point horizontally, its x-coordinate changes, but the y-coordinate. remains unchanged.
You translated the point 3 units to the left.
D'(-3, 1) ⟶ D"(-6,1)
Answer: Part-to-part
Step-by-step explanation:
This is a part-to-part, because they show part of apples, and part of oranges. This ratio when set up is 4:3. If the ratio was part-to-whole, then the apples would be compared to the total amount of oranges and apples. The ratio for part-to-whole would be 4:7.
Hope this helps!
Let x be the time she ran and y be the time she walked
then distance ran = 25x and distance walked = 5y
so 15x + 5y = 42
and x + y = 4
* second equn. by -5:-
-5x - 5y = -20
add this to the first equn:0
10x = 22
x = 2.2
distance she ran = 2.2 * 15 = 33 km
Answer:
11 1/4- pounds hamburgers can be made from 2 and 3/4 pounds of ground beef.
Step-by-step explanation:
Here, the amount of beef uses in 1 hamburger = 1/4 pound = 0.25 pounds
Total amount of beef available = 2 3/4 pounds
Now, solving the mixed fraction,we get
So, the total available beef = 2.75 pounds
Now, 
= 
So, <u>the total number of hamburgers made = 11 </u>
Hence, 11 1/4- pounds hamburgers can be made from 2 and 3/4 pounds of ground beef.
The area of the triangle as a function of x is A = 3x^2/[2(x -5)] and the domain is x > 5
<h3>Write the area A of the triangle as a function of x</h3>
From the figure, we have the following points:
(0,y), (5,3), and (x,0)
Next, we calculate the slopes between the points.
This is calculated as follows:
- Slope between (0,y) and (5,3) = [y - 3]/[0 - 5] = [3 - y]/5
- Slope between (5,3) and (x,0) = [3 - 0]/[5 - x] = 3/[5 - x]
The slopes are equal.
So, we have:
[3 - y]/5 = 3/[5 - x]
Cross multiply
(3 - y)(5 -x) = 15
Divide by 5 - x
(3 - y) = 15/(5 -x)
This gives
y = 3 - 15/(5 -x)
This gives
y = [15- 3x - 15]/[5 - x]
Evaluate
y = 3x/(x - 5)
The area is calculated as:
Area = 1/2 * xy
So, we have:
Area = 1/2 * x * 3x/(x - 5)
Evaluate
Area = 3x^2/[2(x -5)]
Hence, the area of the triangle as a function of x is A = 3x^2/[2(x -5)]
<h3>
The domain of the function</h3>
We have:
A = 3x^2/[2(x -5)]
Set the denominator > 0
2(x - 5) > 0
Divide by 2
x - 5 > 0
Add 5 to the sides
x > 5
Hence, the domain is x > 5
Read more about domains at:
brainly.com/question/2428614
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