Answer:
Question 1: y = 3/4x + 1/4.
Question 2: y = 6/5x + 7/5.
Step-by-step explanation:
Question 1: A line perpendicular to another line would have a slope that is the negative reciprocal of the other line. If the slope of the first line is -4/3, the slope of a line perpendicular to the first would have a slope of 3/4.
Since the line goes through (5, 4), we can just put the points into the equation, y = 3/4x + b.
4 = 3/4(5) + b
b + 15/4 = 4
b = 16/4 - 15/4
b = 1/4
So, the equation of the line is y = 3/4x + 1/4.
Question 2: 5x + 6y = -6
6y = -5x - 6
y = -5/6x - 1
As stated before, a line perpendicular to another will have a slope that is the negative reciprocal of the other. So, the slope of the other line is 6/5.
The line goes through (-2, -1), so we can put the points into the equation, y = 6/5x + b.
-1 = 6/5(-2) + b
b - 12/5 = -5/5
b = -5/5 + 12/5
b = 7/5
So, the equation of the line is y = 6/5x + 7/5.
Hope this helps!
Answer: Can you Please Provide The Table?
Then I am Sure I can Get You 100% On this question.
Answer:

Step-by-step explanation:
1.Turn the 9 into a fraction

2.factor the bigger numbers.

3.Cancel out the common factor(3)

4.multiply across

Answer:
1) Number of scoops = 42
2)Number of scoops = 10
Step-by-step explanation:
Volume of the sink = (4000/3)π in³
1)
Diameter = 4 in ∵ Radius = 4/2 = 2 in
Height = 8 in
Volume of the cylindrical cup =
in³
Number of cups of water that must be scooped out = Volume of the sink/ Volume of the cylindrical cup
= (4000/3)π / 32π ==> 42
Number of scoops = 42
b)
Diameter = 8 in ∵ Radius = 8/2 = 4 in
Height = 8 in
Volume of the cylindrical cup =
in³
Number of cups of water that must be scooped out = Volume of the sink/ Volume of the cylindrical cup
= (4000/3)π / 128π ==> 10
Number of scoops = 10
Answer:
The answer would be 70000, because the 10 is powered to 4 you have to put down 4 zeros and since the equation is 7×10^4 you have to put down a 7 before the 4 zeros, therefore the answer would be 70000