The amount it is increasing by, 3 is added each time.
Answer:
a) 16.25 centimeters
b) 6.8 centimeters
Step-by-step explanation:
We can set up a proportion for both of these problems.
a) Look at the longest side of each triangle. We can set up a fraction: 7.2/18. We can also set up a fraction for XZ and PR:
6.5/x
x represents the length you're trying to find.
Since the triangles are similar, we have an equation:
7.2/18=6.5/x
Cross multiply
16.25
XZ is 16.25 centimeters long.
b)
We can do same thing:
7.2/18=x/17
Cross multiply
6.8
QR is 6.8 centimeters long.
Hope this helps!
I don’t have a very detailed explanation, however the answer should be “A 90-degree counterclockwise rotation about the origin followed by a translation 1 unit to the left”.
You can clearly see a 90° angle here, it’s obvious. Also, the polygon switch counterclockwise. so, you can see.
hope I helped ^^
Using translation concepts, it is found that the transformations to create function d are given as follows:
- Horizontal shift right 1 unit.
- Vertical shift up 5 units.
- Frequency multiplied by 2.
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, the parent cosine function is given by:
f(x) = cos(x).
The translated function is given by:
d(x) = cos(2x - 1) + 5.
Which means that:
- 1 was subtracted in the domain, hence the was a horizontal shift right 1 unit.
- 5 was added in the range, hence there was a vertical shift up 5 units.
- There was a multiplication by 2 in the domain, hence the frequency is multiplied by 2.
More can be learned about translation concepts at brainly.com/question/4521517
#SPJ1
Answer:
The two numbers are -164 and -287
They could also be 164 and 287
Step-by-step explanation:
The ratio of 2 numbers 4/7
x/y = 4/7
Using cross products
7x =4y
Their difference is 123
x-y = 123
x = 123+y
Substituting in
7(123+y) =4y
Distribute
861 +7y = 4y
Subtract 7y from each side
861 +7y-7y = 4y-7y
861 = -3y
Divide each side by -3
861/-3 = -3y/-3
-287 = y
Now we need to find x
x = 123+y
x = 123+ -287
x = -164
The numbers could also be 164 and 287
The difference is 287-164 = 123
And the ratio is 164/287 = 4/7
