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quester [9]
3 years ago
9

Find the slope of the line through each pair of points. (17,-6),(-11,7)

Mathematics
1 answer:
jeka57 [31]3 years ago
8 0
Slope is rise over run or
(y1-y2)/(x1-x2)

(x,y)
x1=17
x2=-11
y1=-6
y2=7

slope=(-6-7)/(17-(-11))=(-13)/(17+11)=(-13)/(28)=

the slope is -13/28
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A projectile is fired with muzzle speed 250 m/s and an angle of elevation 45° from a position 30 m above ground level. Where doe
qaws [65]

The projectile's horizontal and vertical positions at time t are given by

x=\left(250\dfrac{\rm m}{\rm s}\right)\cos45^\circ\,t

y=30\,\mathrm m+\left(250\dfrac{\rm m}{\rm s}\right)\sin45^\circ\,t-\dfrac g2t^2

where g=9.8\dfrac{\rm m}{\mathrm s^2}. Solve y=0 for the time t it takes for the projectile to reach the ground:

30+\dfrac{250}{\sqrt2}t-4.9t^2=0\implies t\approx36.2458\,\mathrm s

In this time, the projectile will have traveled horizontally a distance of

x=\dfrac{250\frac{\rm m}{\rm s}}{\sqrt2}(36.2458\,\mathrm s)\approx6400\,\mathrm m

The projectile's horizontal and vertical velocities are given by

v_x=\left(250\dfrac{\rm m}{\rm s}\right)\cos45^\circ

v_y=\left(250\dfrac{\rm m}{\rm s}\right)\sin45^\circ-gt

At the time the projectile hits the ground, its velocity vector has horizontal component approx. 176.77 m/s and vertical component approx. -178.43 m/s, which corresponds to a speed of about \sqrt{176.77^2+(-178.43)^2}\dfrac{\rm m}{\rm s}\approx250\dfrac{\rm m}{\rm s}.

7 0
3 years ago
Mr Jones spent 156 to attend a college football game .twenty percent of this cost was for a parking pass.he spent the remainder
maks197457 [2]
Step One: Find 20% of 156
20% = .20
156 x .20 = 31.20

Step Two: Find the price of tickets

31.20 / 2 = 15.60

Final Answer: $15.60 per ticket

Hope this helps!
4 0
3 years ago
Find the distance between (2,4) and (12, 9) on a coordinate plane. round to the nearest tenth if necessary. *
atroni [7]
Use pythagoras

d = √(Δx² + Δy²)
d = √(12-2)² + (9-4)²
d = √(10² + 5²)
d = √(100 + 25)
d = √125
d = 5√5
d = 5 × 2.236
d = 11.18

The nearest tenth is 11.2, so the distance is near to 11.2
4 0
3 years ago
The volume of a cone is 37.7 cubic inches, and its height is 4 inches. What is the diameter of the base of the cone?
Rom4ik [11]
Just multiply 37.7 by 4 and get your answer.
6 0
3 years ago
80 - [50 - {20 ÷ 2 – (16 - 2÷ 2) ÷ 3}]
ohaa [14]

80 - [50 - {20/2 - (16 - 2/2) ÷ 3}]

80 - [50 - {20/2 - (15) ÷ 3}]

80 - [50 - {10 - 5}]

80 - [50 - {5}]

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4 0
3 years ago
Read 2 more answers
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