9514 1404 393
Answer:
- reflection across the origin
- rotation 180° about the origin
- reflection across the x-axis, and translation right 6 units
Step-by-step explanation:
The figure and its image are symmetrical about the origin, so the following three transformations are equivalent:
1. reflection across the origin
2. rotation 180° about the origin
3. reflection across both x- and y-axes, in either order
__
The figure itself has left-right symmetry, so only one reflection is necessary to map the figure to its image: reflection across a horizontal line. Following that reflection, the image can be put into place by an appropriate translation. One such pair of transformations is ...
4. reflection across the x-axis and translation 6 units right, in either order
<h3>
Answer: f( h(x) ) = 2x - 4</h3>
Work Shown:
f(x) = x - 7
f( h(x) ) = h(x) - 7
f( h(x) ) = 2x+3 - 7
f( h(x) ) = 2x - 4
Explanation:
In the second step, I replaced every x with h(x). In the next step, I replaced the h(x) on the right hand side with 2x+3. From there I combined like terms.
For this case we must factor the following expression:
We rewrite the middle term as a sum of two terms whose product is
And whose sum is
These numbers are:
-5 and -3
So:
We factor the maximum common denominator of each group:
We take common factor
Answer:
<h3>
Answer: 4368 square feet</h3>
======================================================
Explanation:
Check out the diagram below
I drew a rectangle with dimensions 56 ft by 78 ft.
Then I broke up the 56 into 50+6, and I broke up the 78 into 70+8
The reason for this is because it's fairly easy to multiply the areas of each smaller rectangle at this point
- In the upper left corner, we have an area of 50*70 = 3500. Note how this is basically 5*7 = 35, but we tack on the two zeros (from 50 and 70 combined)
- In the upper right corner, we have an area of 70*6 = 420
- In the lower left corner, we have an area of 50*8 = 400
- In the lower right corner, we have an area of 6*8 = 48
Add up all the areas found: 3500+420+400+48 = 4368
As a way to check, using your calculator shows that 56*78 = 4368
The relationship between d and t.
d = 49t
The correct equation is C.
<h3>What is Distance, speed and Time ?</h3>
How quickly something or someone is moving is determined by their speed. If you know how far an object has traveled and how long it has taken, you can calculate its average speed. Speed equals distance times time, according to the speed formula. Knowing the units for distance and time will help you determine what the units are for speed.
<h3>Given data:</h3>
speed = 49 miles/hour
Distance
Time
as we know :
Speed = Distance / Time .
Then:
49 = Distance/Time
Distance = 49*Time .
the relationship between d and t ( d = 49t).
To know more about Distance , speed and Time visit :
brainly.com/question/28035975
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I understand that the question you are looking for is :
A cheetah runs at a speed of 49 miles for every hour. If the distance traveled, in miles, is d and time, in hours, is t, which equation shows the relationship between d and t?
A. d = 49 + t
B. t = 49 + d
C. d = 49t
D. t = 49d
