How do you graph x - y < 4
2 answers:
Answer:
y > -4 + x
***(see graph below)****
Step-by-step explanation:
Graph
x − y < 4
Solve for y
Subtract x from both sides of the inequality.
−y < 4 − x
Multiply each term in −y < 4 − x by −1
Multiply each term in −y < 4 − x by −1. When multiplying or dividing both sides of an
inequality by a negative value, f lip the direction of the inequality sign.
(−y) ⋅ −1 > 4 ⋅ −1 + (−x) ⋅ −1
Multiply (−y) ⋅ −1.
Multiply −1 by −1.
1y > 4 ⋅ −1 + (−x) ⋅ −1
Multiply y by 1.
y > 4 ⋅ −1 + (−x) ⋅ −1
Simplify each term.
Multiply 4 by −1.
y > −4 + (−x) ⋅ −1
Multiply (−x) ⋅ −1.
y > −4 + x
Find the slope and the y-intercept for the boundary line.
Rewrite in s lope-intercept form.
The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.
y = mx + b
Reorder −4 and x. y > x − 4
Use the slope-intercept form to find the slope and y-intercept.
Find the values of m and b using the form y = mx + b. m = 1
b = −4
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: 1
intercept: (0, −4)
Graph a dashed line, then shade the area above the boundary line since y is greater than −4 + x. y > −4 + x
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Answer:
c = 5√5
Step-by-step explanation:
When we have a right triangle, there is a property about its measurements that is <em>always</em> true, and its called the "Pythagorean Theorem"
First, let's understand the basic terms we use to describe the sides of a triangle:
we can call one leg "a", the other leg "b" and the slanted side "c"
("c" is also called the hypotenuse--and it's always opposite the 90-degree angle)
the pythagorean theorem:
a² + b² = c²
here, our "a" is 5, our "b" is 10 {and we don't know what c is}
let's try plugging these values into our formula:
a² + b² = c²
5² + 10² = c²
25 + 100 = c²
125 = c²
now, we know what c² is--but we want to know c,
so we must take the square root of both sides
√125 = √c²
√125 = c
now, while √125 <em>is </em>our answer, we can simplify further!
this is because 125 can be made up of 5 · 25
so,
and
we can take out the square root of 25 (5):
we write this as such:
so, in simplest radical form, c = 5√5
(√125)
hope this helps!! have a lovely day :)