So if you have a right triangle with legs legnth a and b
and a hypotonuse legnth c, then
a^2+b^2=c^2
given in the comments is that
a=15
c=20
input and solve
15^2+b^2=20^2
225+b^2=400
subtract 225 from boths ides
b^2=175
take square root of both sides
b=5√7
Answer:
x = 16, y = 16√3
Step-by-step explanation:
x = 32/2 = 16
y = 16(√3) = 16√3
The solution to the system of equations is (-3.88, 0.66) and (3.04, 1.09)
<h3>How to determine the solution to the
system of equations?</h3>
The system of equations is given as:
x^2y + yx^2 = 20
1/x + 1/y = 5/4
Multiply through the equation 1/x + 1/y = 5/4 by 4xy
So, we have:
4x + 4y = 5xy
So, we have the following system of equations
4x + 4y = 5xy
x^2y + yx^2 = 20
Next, we plot the graph of the system of equations
4x + 4y = 5xy
x^2y + yx^2 = 20
See attachment for the graph of the system
From the attached system, we have the point of intersection to be
(x, y) = (-3.88, 0.66) and (3.04, 1.09)
Hence, the solution to the system of equations is (-3.88, 0.66) and (3.04, 1.09)
Read more about system of equations at
brainly.com/question/13729904
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Answer:
n = 80
Step-by-step explanation:
Plug in 80 for n to check:
17 + 80/5 = ?
17 + 16 = 33
Answer:
The equations of the lines are y=3 and y=8.
Parallel lines have equal slopes, so if the slopes are opposites, the slopes must be 0.
A line with this slope and passing through (7, 3) has equation y=3.
Step-by-step explanation:
The above answer statements pretty much speak for themselves. The only opposite numbers that are equal are 0 and -0 = 0, so the slopes must be 0.
A line with a zero slope has a constant y-value, so is of the form ...
y = constant
If it goes through a point with a y-coordinate of 3, then the constant must be 3. The line is ...
y = 3
___
If the sum of two numbers is 11 and one of them is 3, the other is 8. So, the parallel line has equation y = 8.