Answer:
(5, 10)
Step-by-step explanation:
If AP : PD = 2 : 1, then ...
P = (2D +1A)/(2+1)
P = (2(7, 13) +(1, 4))/3 = (14+1, 26+4)/3 = (5, 10)
The coordinates of point P are (5, 10).
Answer:
$100
Step-by-step explanation:
Let C be the cost for 150 minutes of play time.
We have been given that Quinn is playing video games at a virtual reality game room. The game room charges 20 dollars for every 30 minutes of play time.
We will use proportions to find the cost for 150 minutes of play time as proportions states that two fractions are similar.
Upon substituting the given value we will get,
Upon cross multiplying our equation we will get,
Upon dividing both sides of equation by 30 we will get,
Therefore, Quinn need $100 to pay for 150 minutes of play time.
The base of this rectangle is 4
cm.
The height of this rectangle is 6
cm.
The area of this rectangle is 24
cm2.
Learn this :
VUX -- vertical line, undefined slope, represented by x = a number.
HOY -- horizontal line, 0 slope, represented by y = a number
so the line with the undefined slope is going to be x = 2
Answer:
1) Centre: (-4,-8)
Radius: sqrt(93)
2) y = ¼x² - x + 4
Step-by-step explanation:
1) 4x² + 8x +4y² +16y -13 = 0
h = -8/2 = -4
k = -16/2 = -8
(-4)² + (-8)² - (-13) = r²
r² = 93
r = sqrt(93)
sqrt: square root
2) h = (0+4)/2 = 2
y = a(x - 2)² + k
4 = a(0-2)² + k
4 = 4a + k
k = 4 - 4a
12 = a(8-2)² + k
12 = 36a + k
12 = 36a + 4 - 4a
8 = 32a
a = ¼
k = 4 - 4(¼) = 4 - 1 = 3
y = ¼(x - 2)² + 3
y = ¼(x² - 4x + 4) + 3
y = ¼x² - x + 1 + 3
y = ¼x² - x + 4