Answer:
P and Q are two points on the line x-y+1=0 and are at a distant of 5 units from the origin. Find the area of triangle POQ.
Step-by-step explanation:
P and Q are the intersection points of
x-y+1 = 0 and the circle x^2 + y^2 = 25
sub y = x+1 into the circle
x^2 + (x+1)^2 = 25
x^2 + x^2 + 2x + 1 - 25 = 0
x^2 + x - 12 = 0
(x+4)(x-3) = 0
x = 3 or x = -4
y = 4 or y = -3
so P(3,4) and Q(-4,3) are our two points
Height of triangle.
h = |0 - 0 + 1|/√2 = 1/√2
PQ = √( (-7)^2 + 1^2) = √50 = 5√2
area POQ = (1/2)(1/√2)(5√2) = 5/2 square units
hope this helped
There are 6 pints 14 ounces left. But with you need in quarts and ounces it would be <span>3 quarts 14 ounces.
Hope this helps!</span>
The difference in the price per bag for 150 bags versus 50 bags is $0.15 per bag.
<h3>What is the difference in the price of the bags?</h3>
If 150 bags on the x axis is traced to the y axis, the price of the bag is $38.
If 50 bags on the x axis is traced to the y axis, the price of the bag is $20.
Price per bag:
150 bags = 38 / 150 = $0.25
50 bags = $20 / 50 = $0.4
The difference = $0.4 $0.25 = $0.15
Please find attached the graph used in answering this question. To learn more about subtraction, please check: brainly.com/question/854115
Answer:
£2.00
Step-by-step explanation:
Badly worded, as they oftena are! But to me it means
30% spent
60% saved (I.e also taken away and put somewhere else)
10% leftover equals 20p
So 20p equals 10% of what she originally had, so 100% must be £2.00, does that make sense?
