Answer:
y + 8 = 6(x + 1)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
here m = 6 and (a, b) = (- 1, - 8), hence
y - (- 8) = 6(x - (- 1)), that is
y + 8 = 6(x + 1)
Answer:x>7 or x ≤ -3
Solving the 1st inequality
-6x +14 < -28 --------------- (Collect like terms)
-6x < -28 - 14
-6x < - 42 -------------------- (Divide both sides by -6)
Note: If you decide an inequality expression by a negative value, the inequality sign changes)
-6x/-6 > -42/-6
x > 7
Solving the 2nd inequality
9x + 15 ≤ −12 ----------- (Collect like terms)
9x ≤ −12 - 15
9x ≤ −27 ------------------(Divide both sides by 9)
9
9x/9 ≤ −27/9
x ≤ -3
Bring both results together, we get
x>7 or x ≤ -3
The final result is complex (i.e. can't be combined together).
Step-by-step explanation:
6% of $1,600 is = 96 if you multiple it with 180 : 96 × 180 = 17,280
208.81 square centimeters of aluminium are needed
<em><u>Solution:</u></em>
Given that,
Radius = 3.5 cm
Height = 6 cm
We have to find the square centimeters of aluminum needed
So we have to find the surface area of cylinder
<em><u>The surface area of cylinder is given by formula:</u></em>
Where "r" is the radius and "h" is the height of cylinder
<em><u>Substituting the values we get,</u></em>
Thus 208.81 square centimeters of aluminium are needed
Answer: she still has to cut off 19/16 inches.
Step-by-step explanation:
Olivia wants to cut 3 3/4 inches from a piece of string. Converting 3 3/4 inches to improper fraction, it becomes 15/4 inches.
She has already cut off 2 9/16 inches from the piece of string. Converting 2 9/16 inches to improper fraction, it becomes 41/16 inches.
Therefore, the length of string that is left for her to cut off would be
15/4 - 41/16 = (60 - 41)/16
= 19/16 inches
