<h3><u>The x intercept is at (-7, 0).</u></h3><h3><u>The y intercept is at (0, 1).</u></h3>
To find both the x and the y intercept, we need to solve one at a time.
For the x intercept, we need to make the value of y equal to 0, and solve for x.
-x + 7y = 7
-x + 7(0) = 7
-x = 7
Multiply both sides by -1.
x = -7
The x intercept is -7.
Now for the y intercept.
-(0) + 7y = 7
7y = 7
Divide both sides by 1.
y = 1
The y intercept is at 0, 1.
Answer: 204 students
Step-by-step explanation: To find out the greatest number of students that can fit at the 17 tables in the school cafeteria, we simply need to multiply the number of students that can fit at each table by the number of tables.
12 students can fit at 1 table and there are 17 tables.
So we have (12)(17) which is 204.
So the greatest number of students that can be seated din the cafeteria is 204 students.
Answer:
-sinx
Step-by-step explanation:
a trig identity that is crucial to solving this problem is: sin^2 + cos^2 = 1
with knowing that, you can manipulate that and turn it into 1 - sin^2x = cos^x
so 1-sin^2x/sinx - cscx becomes cos^2x/sinx - cscx
it is also important to know that cscx is the same thing as 1/sinx
knowing this information, cscx can be replaced with 1/sinx
(cos^2x)/(sinx - 1/sinx)
now sinx and 1/sinx do not have the same denominator, so we need to multiply top and bottom of sinx by sinx; it becomes....
cos^2x
---------------------
(sin^2x - 1)/sinx
notice how in the denominator it has sin^2x-1 which is equal to -cos^2x
so now it becomes:
cos^2x
--------------
-cos^2x/sinx
because we have a fraction over a fraction, we need to flip it
cos^2x sinx
---------- * ----------------
1 - cos^2x
because the cos^2x can cancel out, it becomes 1
now the answer is -sinx
Answer:
A(0,7)
Step-by-step explanation:
The y-intercept is (0,7). The y-intercept is the point in which the line or the function crosses the y-axis.
