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svp [43]
3 years ago
13

What is the range of the relation {(2, 4), (3, 4), (4, 7), (5, 7), (6, 5)}?

Mathematics
2 answers:
Leto [7]3 years ago
6 0
4,7,5 .................................................
Juliette [100K]3 years ago
4 0
The answer is 4,7,5 :)
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A rocket is launched from the top of a 99-foot cliff with an initial velocity of 122 ft/s.
Harman [31]
Remember that c is the initial height. Since we the rocket is in a 99-foot cliff, c=99. Also, we know that the velocity of the rocket is 122 ft/s; therefore v=122
Lets replace the values into the the vertical motion formula to get:
0=-16 t^{2} +122t+99
Notice that the rocket hits the ground at the bottom of the cliff, which means that the final height is 99-foot bellow its original position; therefore, our final height will be h=-99
Lets replace this into our equation to get:
-99=-16 t^{2} +122t+99
-16 t^{2} +122+198=0

Now we can apply the quadratic formula t= \frac{-b+or- \sqrt{ b^{2} -4ac} }{2a} where a=-16, b=122, and c=198
t= \frac{-122+or- \sqrt{ 122^{2}-(4)(-16)(198) } }{(2)(-16)}
t= \frac{-122+ \sqrt{27556} }{-32} or t= \frac{-122- \sqrt{27556} }{-32}
t= \frac{-122+166}{-32} or t= \frac{-122-166}{-32}
t= \frac{-11}{8} or t=9

Since the time can't be negative, we can conclude that the rocket hits the ground after 9 seconds.
5 0
3 years ago
Read 2 more answers
A ball is hurled in the air such that its horizontal (x) and vertical (y) shifts are given by the functions x(t) = 20t and y(t)
Viefleur [7K]

x(t) = 20t

y(t) = 40t - 5t^2

Since we are only interested in comparing the two at time t = 5 seconds, we plug in 5 everywhere we see the variable t and then compare x and y

x(5) = 20(5) becomes x(5) = 100

y(5) = 40(5) - 5(5)^2 becomes y(5) = 200 - 125 and then y(5) = 75

The ratio of y to x can be expressed as: y/x, so we can say the ratio is equal to 75/100 or 0.75

Answer: 0.75

7 0
3 years ago
A rectangle has area 64 m2. Express the perimeter of the rectangle as a function of the length L of one of its sides. State the
svp [43]
A rectangle is a two-dimensional shape with two sets of equal, parallel sides. These dimensions are the length (L) and the width (W). The formula for the rectangle's area is the product of the two dimensions. The formula for perimeter is

P = 2L + 2W

Since
A = LW = 64
W = 64/L
Substituting to the formula for perimeter would be,

P = 2L + 2(64/L)
P = 2L + 128/L
3 0
3 years ago
Use the distributive property to multiply, combine like terms & find the equations
kenny6666 [7]

Answer:

32+160

Step-by-step explanation:

3 0
2 years ago
PLEASE HELP:)))))))))
slava [35]

Answer:

see explanation

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180° , thus

y = 180° - (55 + 41)° = 180° - 96° = 84°

z and y are adjacent angles and supplementary, thus

z = 180° - 84° = 96°

x and 109° are alternate exterior angles and congruent, thus

x = 109°

6 0
3 years ago
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