Answer:
<h3> y= -3/4x - 4</h3>
Step-by-step explanation:
To write an equation that is perpendicular to a given line, take the negative reciprocal of the given slope. the given slope is 4/3, so the negative reciprocal is -3/4.
Using slope-intercept form of a linear equation, y=mx+b substitute in -3/4 for "m" the slope.
y=-3/4x+b
Now you need to "b" the y-intercept using the given point (-4,-1). Substitute the values in the equation. -1=-3/4(-4)+b simplify
-1= 3 + b subtract 3 for both sides
-4=b
substitue -4 for b. Now you have y= -3/4x - 4 this is your answer.
Answer:
The rule for given sequence is: a_n = -27+16n
And the 100th term is: 1573
Step-by-step explanation:
Given sequence is:
-11, 5, 21, 37, 53, ...
Here
First of all, we have to find if this is an arithmetic sequence
For that purpose, the common difference has to be found. Common difference, denoted by d, is the difference between consecutive terms of an arithmetic sequence
So,
As the common difference is same, the sequence is an arithmetic sequence
General rule for arithmetic sequence is:
Putting values
For 100th term,
Putting n=100
Hence,
The rule for given sequence is: a_n = -27+16n
And the 100th term is: 1573
You would do x+ (x+1)=137
2x+1=137
Subtract 1 from each side
2x=136
x=68.
Add 1 to 68, since they are consecutive integers.
The answer is 68 and 69
Answer:
Hi! I suggest reading the explanation, it will help make this equation more simple.
↓↓↓
The answer is $45.50
Step-by-step explanation:
First, divide 26.00 by four. This will give you 6.5, so now you know that each ticket individually costs $6.5 or $6.50.
next, multiple 6.50 by 7.
this will give you 45.5 or $45.50.
double check your answer by dividing 45.50 by 7.
your answer should be 6.5 on a calculator.
that's all! hope this helped.
The denominator of the raised fraction is what goes on the outside of the square root. So if you had 2 raised to 1/3, you'd put the 3 raised outside to the left of the radical and the 2 inside. They give the same answer, so if you know one, you can always play with the other until you get the same answer. My teacher told us in Calculus a funny/weird way to remember it is the "bottom (of the raised fraction) goes in the crack (of the radical)." Does this help??
