Answer:
y+3=-6(x+8)
Step-by-step explanation:
Because we already know a point and the slope, we can put our equation in the form y-y1=m(x-x1);
y+3=-6(x+8)
S = 9C
first sentence written as an expression
Where S represents the angles supplement
and C represents the angles complement
A + S = 180
definition of supplementary allows me to make this statement Where A is the original angle
A + C = 90
definition of complimentary allows this statement
now add the prior 2 statements together
A + S + A + C = 180 + 90
now simplify
2A + S + C = 270
now replace S with 9C using first statement
2A + 9C + C = 270
now simplify
2A + 10C = 270
now divide both sides by 2
A + 5C = 135
now using the second statement isolate A by adding C to both sides
A = 90 - C
now combine the two prior statements
90 - C + 5C = 135
now simplify
90 + 4C = 135
now subtract 90 from both sides
4C = 45
now divide both sides by 4
C = 11.25
so the complimentary angle is 11.25
now take the third equation and substitute in C
A + 11.25 = 90
now subtract 11.25 from both sides
A = 78.75
so the original angle is 78.75
now use the second equation and substitute in A
78.75 + S = 180
now subtract 78.75 from both sides
S = 101.25
so the suplimentary angle is 101.25
● Answer:
b) 24 cm
● Step-by-step explanation:
l + 4 = 2w => l = 2w - 4
5w + 6 = P => 5w + 6 = 2w + 2l
5w + 6 = 2w + 2(2w - 4)
5w + 6 = 2w + 4w - 8
6 + 8 = 6w - 5w
w = 14
l = 2x14 - 4
l = 28 - 4
l = 24 cm
Answer:
-27, -25, -23
Step-by-step explanation:
Let the three consecutive odd integers be:
First integer = a
Second integer = a + 2
Third integer = a + 4
Two times the least integer = 15 + three times the greatest
2a = 3(a + 4) + 15
2a = 3a + 12 + 15
2a - 3a = 27
a = -27
So the first integer is -27, the second integer is -25 and the third integer is -23.
HI Sydney!
Question:
Solve 5^2 - 4 x 6 + 11
Solution:
Remember to follow PEMDAS,
= 5^2 - 4 x 6 + 11
= 25 - 4 x 6 + 11
= 25 - 24 + 11
= 1 + 11
= 12
Answer: 12
