Answer:
8x^2 + 6x + 36xy^2 + 24y^2
Step-by-step explanation:
First, multiply the two terms inside the second set of parentheses by-2x; we get 8x^2 + 6x.
Next, multiply the same two terms by -9y^2; we get 36xy^2 + 24y^2.
Now add these products together:
8x^2 + 6x + 36xy^2 + 24y^2 This is the desired product.
Answer:
55,7425
Step-by-step explanation:
Since there are 60 minutes in one degree and 3600 seconds in one degree, the formula is:
Decimal degrees = Degrees + (Minutes/60) + (Seconds/3600)
Here Degrees stay the same 55;
44' = 44/60 ≈ 0,733...
33" = 33/3600 ≈ 0,009166...
I've divided and added those three numbers by calculator in one operation and it shows exactly 55,7425. If you add them separately, you'll need to round the result.
Answer:
See below.
Step-by-step explanation:
a.
The first figure has 1 square. The second figure has a column of 2 squares added to the left. The third figure has a column of 3 squares added to the left. Each new figure has a column of squares added to the left containing the same number of squares as the number of the figure.
b.
Figure 10 has 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 = 55 squares.
c.
The formula for adding n positive integers starting at 1 is:
1 + 2 + 3 + ... + n = n(n + 1)/2
For figure 55, n = 55.
n(n + 1)/2 = 55(56)/2 = 1540
d.
Let's use the formula set equal to 190 and solve for n. If n is an integer, then we can.
n(n + 1)/2 = 190
n(n + 1) = 380
We know that 380 = 19 * 20, so n = 19.
Answer: yes
e.
Use the formula above,
S = n(n + 1)/2, where S is the sum.
f.
n(n + 1) = 1478
38 * 39 = 1482
37 * 38 = 1406
Answer:
Step-by-step explanation:
So angle 1 and 2 are both obtuse angles. They are considered adjacent angles as well.
Hope this helps
Answer: yesss its linear too
Step-by-step explanation:
