Answer:
y-5=-3(x-17)
y-5=-3x+51
y=-3x+46
compare with equation
y=mx+c
slope = -3
Step-by-step explanation:
<span>These are the options that I found for this question.
1/3
3/5
3/8
5/1/2
You just have to make the division and compare the results>
1 / 3 = 0.333..
3 / 5 = 0.6
3 / 8 = 0.375
5 / 12 = 0.416.....
So which is closest to 0.35? The answer is 1/3
</span>
Answer: The number is 26.
Step-by-step explanation:
We know that:
The nth term of a sequence is 3n²-1
The nth term of a different sequence is 30–n²
We want to find a number that belongs to both sequences (it is not necessarily for the same value of n) then we can use n in one term (first one), and m in the other (second one), such that n and m must be integer numbers.
we get:
3n²- 1 = 30–m²
Notice that as n increases, the terms of the first sequence also increase.
And as n increases, the terms of the second sequence decrease.
One way to solve this, is to give different values to m (m = 1, m = 2, etc) and see if we can find an integer value for n.
if m = 1, then:
3n²- 1 = 30–1²
3n²- 1 = 29
3n² = 30
n² = 30/3 = 10
n² = 10
There is no integer n such that n² = 10
now let's try with m = 2, then:
3n²- 1 = 30–2² = 30 - 4
3n²- 1 = 26
3n² = 26 + 1 = 27
n² = 27/3 = 9
n² = 9
n = √9 = 3
So here we have m = 2, and n = 3, both integers as we wanted, so we just found the term that belongs to both sequences.
the number is:
3*(3)² - 1 = 26
30 - 2² = 26
The number that belongs to both sequences is 26.
The angles are complementary.
This means they add to 90 degrees.
(2x + 1) + (x + 5) = 90.
3x + 6 = 90. (Combine like terms)
3x = 84. (Subtract 6 from each side)
x = 28. (Divide 3 from each side)
x = 28
D is correct
Hello,
The answer is "4 ways".
Reason:
You can write it these ways:
= 5^12 / 5^4
= 5^9 / 5
= 5^10 / 5^2
<span>= 5^15 / 5^ 7
Therefore you can write it 4 different ways....
If you need anymore help feel free to ask me!
Hope this helps!
~Nonportrit</span>
