Answer: The ordered pair is (2,3)
Step-by-step explanation:
To solve this problem, we can use substitution. With substitution, we substitute the y in each problem with the equations. In this case, x + 1 can substitute the y in y = -x + 5. Here is what the problem looks like now:
x + 1 = -x + 5
The reason we used substitution is because we assume that these linear equations are equal. We must prove it, though. We can use algebra.
Move the variables to one side and the numerical values to another:
x + x = 5 - 1.
Simplify.
2x = 4
Simplify.
x = 2.
Now, we got our x value, we can substitute it into our problem:
y = 2 + 1
y + -2 + 5
2 + 1 = - 2 + 5 = 3
Our x is 2, and our y is 3. The ordered pair that is a solution is (2,3).
Answer:
Step-by-step explanation:
The slope-intercept form of an equation of a line:
<em>m</em><em> - slope</em>
<em>b</em><em> - y-intercept</em>
The formula of a slope:
We have two points (2, -2) and (4, -1).
Substitute:
Put the value of a slope and the coordinates of the point (2, -2) to the equation of a line:
<em>subtract 1 from both sides</em>
Finally:
Answer:
x = 135°
Step-by-step explanation:
6 sided polygon = hexagon
The sum of the interior angles of a hexagon = 720°
⇒ 4x + 90 + 90 = 720
⇒ 4x = 720 - 90 - 90
⇒ 4x = 540
⇒ x = 540 ÷ 4
⇒ x = 135°
Answer:
Step-by-step explanation:
7/8) / (1/2) .when dividing fractions, flip what u r dividing by, then multiply
7/8 * 2 = 14/8 = 1 3/4 <==
Given:
In a right triangle at B,
To find:
The length of the sides b and c and angle B.
Explanation:
Using the trigonometric ratio,
Using the trigonometric ratio,
Using the angle sum property,
The angle B becomes,
Final answer:
The values are,
