Step-by-step explanation:
points (-7,5) and (5,-3)?
This would mean to subtract the y coordinates:
5 - (-3) = 8
Then subtract the x coordinates in the same order:
-7 - 5 = -12
Then divide the y result by the x result for the slope:
8/-12 is the slope.
In simplest form, this is equivalent to -2/3
The two complementary angles are:
95° and 15°
Step-by-step explanation:
Let x be one angle
then the other angle will be 90-x
As the sum of complementary angles is 90
So,
then according to statement
The two complementary angles are:
95° and 15°
Keywords: Angles, triangles
Learn more about angles at:
#LearnwithBrainly
Answer:
The number is 2
Step-by-step explanation:
Twice a number (z) = 2*z = 2z
Twice a number (z) added to 21 = 2z + 21
9 times the number added to 7 = 9z + 7
9z + 7 = 2z + 21
Subtract 2z form both sides
9z - 2z + 7 = 21
7z + 7 = 21
Subtract 7 from both sides
7z = 21 - 7
7z = 14
Divide both sides by 7
z = 14/7
z = 2
x = 3 + y Eqn(1)
y = -2x + 9 Eqn(2)
Let us solve the system of equations with the substitution method
x - 3 = y (Subtracting 3 from both sides of the Eqn(1))
Replacing y = x - 3 in Eqn (2), we have:
x - 3 = -2x + 9
x = -2x + 9 + 3 (Adding 3 to both sides of the equation)
x + 2x = 9 + 3 (Adding 2x to both sides of the equation)
3x = 12 ( Adding like terms)
x = 12/3 (Dividing by 3 on both sides of the equation)
x = 4
Replacing x=4 in Eqn(1), we have:
4 = 3 + y
4 - 3 = y (Subtracting 3 from both sides of the equation)
y=1
The answers are:
x= 4 and y=1
