Answer: 2 1/2
Step-by-step explanation:
Multiply 4*5/8 and you should get 20/8
Next, find the gcf , which should be 4 and divide 20/8 by 4 and you should get 5/2 as your answer.
Last turn 5/2 into a mixed number to do so do this:
5/
2
= 2 · 2 + 1/2
= 2 · 2/
2
+ 1/2
= 2 + 1/
2
= 2 1/2
1. (x , y) → (kx , ky) = Dilation ; similar image
2. (x , y) → (y , -x) = Rotation 90 counterclockwise ; congruent
3. (x , y) → (-x , y) = Reflection over y-axis ; congruent
4. (x , y) → (-x , -y) = Rotation 180 ; congruent
5. (x , y) → (x, -y) = Reflection over x-axis ; congruent
6. (x , y) → (-y , x) = Rotation 90 clockwise ; congruent
7. (x , y) → (x + a , y + b) = Translation ; congruent
Hope this helps :)
Answer:
1. m= 1/2 b=3
2. m= 1/2 b=-2
3 and 4. answered below
5. The point of intersection is where two lines intersect.
Step-by-step explanation:
you have -x+2y=6. finding the slope is very easy, you just have to isolate y.
2y=6+x ---> y = 3+ x/2. The slope would be 1/2 for the first one. the y intercept would be 3.
To graph, there are different ways of doing it. You can do it by finding the y intercept and x intercept, by making a chart and finding plotting points, or you can do it graphing the y intercept and doing rise over run from there.
The
Answer:
10
Step-by-step explanation:
The number of tiles in the design is 1 + 2 + 3 + ...
We can model this as an arithmetic series, where the first term is 1 and the common difference is 1. The sum of the first n terms of an arithmetic series is:
S = n/2 (2a₁ + d (n − 1))
Given that a₁ = 1 and d = 1:
S = n/2 (2(1) + n − 1)
S = n/2 (n + 1)
Since S ≤ 60:
n/2 (n + 1) ≤ 60
n (n + 1) ≤ 120
n must be an integer, so from trial and error:
n ≤ 10
Mr. Tong should use 10 tiles in the final row to use the most tiles possible.
Answer:
315 divide by 7 nevermind
Step-by-step explanation:
