<h3>
Answer: Choice D) </h3>
y + 2 = -(x - 4)
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Explanation:
The slope of this line is -1 because each time we move down 2 units, we move to the right 2 units. So slope = rise/run = -2/2 = -1
The slope formula says the same thing more or less. Let's pick the two points (0,2) and (2,0) to find the slope through them
m = (y2-y1)/(x2 - x1)
m = (0-2)/(2-0)
m = -2/2
m = -1
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Using that slope and a point on the line, we can form the equation. We can pick any point really as long as it's on the line. However, to have it match with the answer choices, we'll have to pick the point (4,-2)
Turn to point slope form
y - y1 = m(x - x1)
y - y1 = -1(x - x1) ... plug in the slope
y - (-2) = -(x - 4) ... plug in the point (x1,y1) = (4, -2)
y + 2 = -(x - 4)
Answer:
24 days
Step-by-step explanation:
To find the answer we need to find the LCM
first, find the prime factorization of 6 and 8
6=2*3
8=2^3
8*3=24
So she'll swim and jog on the same day in 24 days
The correct model of the height of rocket above water is;
h(t) = -16t² + 96t + 112
Answer:
time to reach max height = 3 seconds
h_max = 256 ft
Time to hit the water = 7 seconds
Step-by-step explanation:
We are given height of water above rocket;
h(t) = -16t² + 96t + 112
From labeling quadratic equations, we know that from the equation given, we have;
a = -16 and b = 96 and c = 112
To find the time to reach maximum height, we will use the vertex formula which is; -b/2a
t_max = -96/(2 × -16)
t_max = 3 seconds
Thus, maximum height will be at t = 3 secs
Thus;
h_max = h(3) = -16(3)² + 96(3) + 112
h_max = -144 + 288 + 112
h_max = 256 ft
Time for it to hit the water means that height is zero.
Thus;
-16t² + 96t + 112 = 0
From online quadratic formula, we have;
t = 7 seconds
Hi,
The answer is B. Since you have 2.5$ and the cost of lunch is 2.5$, you will buy lunch today.
Hope this helps.
r3t40
Remember:
a) (x,y) => (x, -y) is a reflection across X axis
b) (x,y) => (-x,y) is a reflection across Y axis
Here △RST is mapped to △R′S′T′ using the rule (x,y)→(x,−y)
Hence it is a reflection across X axis.
The size of the triangle does not alter.
But when this is followed by (x,y)→(3x,3y), the lengths increase by a factor 3.
Hence the triangles do not remain congruent.
△RST is not congruent to △R′S′T′ because the rules do not represent a sequence of rigid motions.
Option A) is the right answer
