Answer:
the answer is 4/6 or 66.7% is the probability
y = -
x - 1
the equation of a line in slope-intercept form is
y = mx + c ( m is the slope and c the y-intercept )
rearrange - 7x + 5y = 12 into this form
add 7x to both sides
5y = 7x + 12 ( divide all terms by 5 )
y =
x +
← in slope- intercept form
with slope m = 
given a line with slope m then the slope of a line perpendicular to it is
perpendicular slope = -
= - 
The partial equation of the perpendicular line is
y = -
x + c
to find c substitute (- 7, 4 ) into the partial equation
4 = 5 + c ⇒ c = 4 - 5 = - 1
y = -
x - 1 ← in slope- intercept form
<h3>
Answer: n = 9</h3>
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Explanation:
Let's assume that n is not negative. If we tried the smallest nonnegative value, n = 0, then we get
- 30+n = 30+0 = 30
- n/3 = 0/3 = 0
- sqrt(n+16) = sqrt(0+16) = 4
The middle result 0 isn't a natural number. The set of natural numbers is {1,2,3,4,...} which is the set of positive whole numbers.
So we can't use n = 0.
Through trial and error, you should find that n = 9 is the next value we can try such that sqrt(n+16) is a natural number, and so is n/3.
If n = 9, then,
- 30+n = 30+9 = 39
- n/3 = 9/3 = 3
- sqrt(n+16) = sqrt(9+16) = 5
We see that the middle result is now larger than 0 and it's a natural number. The same can be said for the last result as well.
<u>Answer: </u>
A model for my number has 6 ones blocks, 2 hundreds blocks, and 3 tens blocks. The model number is 236.
<u>Solution:
</u>
Given that the model has 6 ones blocks, 2 hundreds blocks, and 3 tens blocks. The model number can be found out by,

Given that number of one blocks = 6 blocks. Hence we get 
Number of ten blocks = 3.Hence we get 
Number of hundred blocks = 2 .Hence we get 
So the model number = 6 + 30 + 200
=236
Hence the model number is 236.
A (central angle) has the same measure as its arc.