Answer:
right angle triangle
Step-by-step explanation:
because the number given below is less then 90°
Answer:
![\[y=-2x+13\]](https://tex.z-dn.net/?f=%5C%5By%3D-2x%2B13%5C%5D)
Step-by-step explanation:
Equation of the line CD is given as ![\[y=-2x-2\]](https://tex.z-dn.net/?f=%5C%5By%3D-2x-2%5C%5D)
Slope of the line CD = -2
Slope of the line parallel to CD = -2
Equation of the line parallel to CD is given by ![\[y=mx+c\]](https://tex.z-dn.net/?f=%5C%5By%3Dmx%2Bc%5C%5D)
![\[y=-2x+c\]](https://tex.z-dn.net/?f=%5C%5By%3D-2x%2Bc%5C%5D)
But this line passes through (4,5)
Substituting the values in the equation:
![\[5=-2*(4)+c\]](https://tex.z-dn.net/?f=%5C%5B5%3D-2%2A%284%29%2Bc%5C%5D)
=> ![\[c=5+8=13\]](https://tex.z-dn.net/?f=%5C%5Bc%3D5%2B8%3D13%5C%5D)
So the overall equation of the parallel line is given by
Answer:
Simplifying
5(x + 9) = 5x + 45
Reorder the terms:
5(9 + x) = 5x + 45
(9 * 5 + x * 5) = 5x + 45
(45 + 5x) = 5x + 45
Reorder the terms:
45 + 5x = 45 + 5x
Add '-45' to each side of the equation.
45 + -45 + 5x = 45 + -45 + 5x
Combine like terms: 45 + -45 = 0
0 + 5x = 45 + -45 + 5x
5x = 45 + -45 + 5x
Combine like terms: 45 + -45 = 0
5x = 0 + 5x
5x = 5x
Add '-5x' to each side of the equation.
5x + -5x = 5x + -5x
Combine like terms: 5x + -5x = 0
0 = 5x + -5x
Combine like terms: 5x + -5x = 0
0 = 0
Solving
0 = 0
Couldn't find a variable to solve for.
This equation is an identity, all real numbers are solutions
Step-by-step explanation:
Answer:
41
Step-by-step explanation:
Given
(7 + 2
)(7 - 2 ) ← expand factors using FOIL
= 7² - 2 + 2 - (2 )² ← collect like terms
= 49 - 8
= 41
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