Answer:What does point F represent in this context
Step-by-step explanation:Interpret complicated expressions in context, understanding the meaning of specific terms, factors, and coefficients. Interpret expressions that represent a quantity in terms of its context. Interpret parts of an expression, such as terms, factors, and coefficients.
Given:
A(3,0)
B(1,-2)
C(3,-5)
D(7,-1)
1) reflect across x=-4
essentially calculate the difference between the x=-4 line and Px and "add" it in the other direction to x=-4
A(-4-(3-(-4)),0)=A(-11,0)
B(-4-(1-(-4)),-2)=B(-9,-2)
C(-4-(3-(-4),-5))=C(11,-5)
D(-4-(7-(-4)),-1)=D(-15,-1)
2) translate (x,y)->(x-6,y+8)
A(-3,8)
B(-5,6)
C(-3,3)
D(1,7)
3) clockwise 90° rotation around (0,0), flip the x&y coordinates and then decide the signs they should have based on the quadrant they should be in
A(0,-3)
B(-2,-1)
C(-5,-3)
D(-1,-7)
D) Dilation at (0,0) with scale 2/3, essentially multiply all coordinates with the scale, the simple case of dilation, because the center point is at the origin (0,0)
A((2/3)*3,(2/3)*0)=A(2,0)
B((2/3)*1,(2/3)*-2)=B(2/3,-4/3)
C((2/3)*3,(2/3)*-5)=C(2,-10/3)
D((2/3)*7,(2/3)*-1)=D(14/3,-2/3)
They would meet after 4 hours, as 65 x 4 = 260. And 60 x 4 = 240. If you add these, they become a value of 500. This also answers the 2nd question ; 65x + 60x = 500.
Answer:
standard form to represent the situation equation is 5a + 4.75b = 72.50
Step-by-step explanation:
given data
selling popcorn = $5.00
hotdogs = $4.75
makes = $72.50
solution
we consider here number of bucket sold = a
and number of hotdogs sold = b
Then after 1 hour she makes $72.50
equation for number of popcorn and number of hotdogs sold after an 1 hour is express as
$72.50 = number of bucket sold × price of popcorn per bucket + number of hotdogs sold × price of hotdog ...............................1
put here value and we get
72.50 = 5 × a + (4.75) × b
5 a + 4.75 b = 72.50
so here equation is equivalent to the standard form in the linear equation that is express ( Ax + By = C )
and here A and B are non zero with A, B and C all three are real number
so standard form to represent the situation equation is 5a + 4.75b = 72.50
<span>The speed is 57.5 m/s and the parachutist will fall 1150 m in 20 seconds.
Explanation<span>:
We start out with the ratio 207 km/1 hr.
We know that 1 km = 1000 m; this means 207 km = 207*1000 = 207000 m. This gives us 207000 m/1 hr.
We know that 1 hr = 60 minutes, so we have 207000 m/60 min.
We also know that 1 min = 60 seconds, so 60 min = 60*60 = 3600 sec; this gives us 207000 m/3600 sec.
Dividing this, we get 57.5 m/s.
In 20 seconds, the parachutist will fall 57.5(20) = 1150 m.</span></span>
