Answer:
1. y = 0, b/a
2. y = 0, a/b
3. y =0, c/b
4. y =0, c/a
Step-by-step explanation:
The slope formula for y = mx + b which is known as standard form is Ax + By ≥ C
slope = A/B
x-intercept = C/A
y-intercept = C/B
and now we are dueling with y, so we will use y-intercept
1. cx + ay = b
where c is x, a = y and b=c
Y-int = C/B
y = 0, b/a
2. cx + by = a
y = 0, a/b
3. ax + by = c
y =0, c/b
4. bx+ ay = c
y =0, c/a
Hope this helps
Answer:
x = 8, and y = 12
Step-by-step explanation:
There are 2 variables, so you need 2 equations to form a system of equations in two variables.
The upper left triangle has all angle measures given: 100, 2x + y, 5x + y. We know that the sum of the measures of the angles of a triangle is 180.
First equation:
100 + 2x + y + 5x + y = 180
Simplify:
7x + 2y = 80 (First equation)
Now we see that the upper and lower sides are parallel, so alternate interior angles are congruent. The angles measuring 2x + y and 5x - y are alternate interior angles and are congruent.
Second equation:
2x + y = 5x - y
Simplify:
3x - 2y = 0 (Second equation)
Now we use the first equation and the second equation as a system of simultaneous equations to solve for x and y.
7x + 2y = 80
3x - 2y = 0
Solve the second equation for 2x.
3x = 2y
Now replace 2y in the first equation with 3x.
7x + 3x = 80
10x = 80
x = 8
Replace x with 8 in the second equation.
3(8) - 2x = 0
24 = 2x
x = 12
Answer: x = 8, and y = 12
Answer:
95.15%
Step-by-step explanation:
We have that the mean (m) is equal to 20, the standard deviation (sd) 3
They ask us for P (x <25)
For this, the first thing is to calculate z, which is given by the following equation:
z = (x - m) / sd
We have all these values, replacing we have:
z = (25 - 20) / (3)
z = 1.66
With the normal distribution table (attached), we have that at that value, the probability is:
P (z <1.66) = 0.9515
Which means that the probability that it arrives before 25 minutes is 95.15%
Answer:
69
Step-by-step explanation:
caculator
69 hahahahahahaha
11/16/9= is 11÷16÷9 which is approximately 0.076
