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Nimfa-mama [501]
2 years ago
7

Write an equation of the line perpendicular to the given line that contains P.

Mathematics
1 answer:
lara31 [8.8K]2 years ago
7 0

Answer:

Step-by-step explanation:

perp. -5

y + 7 = -5(x - 4)

y + 7 = -5x + 20

y = -5x + 13

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The distance (d) in meters that an ant can travel varies directly with the amount of time (t) in hours it spends walking.assume
san4es73 [151]

Answer:

d = 3  meters

Step-by-step explanation:

d = rt where d is the distance t is the time and r is the constant of proportionality

d = 18t

Changing 10 minutes to hours

10 minutes * 1 hours / 60 minute = 1/6 hour

d = 18 * 1/6 hour

d = 3  meters

7 0
3 years ago
A ball is shot into the air using a brand new super-high-tech robotic arm to help baseball players practice catch fly balls.
stepladder [879]

Answer:

69 feet

Step-by-step explanation:

we have

h(t)=-16t^{2}+64t+5

where

h(t) is the height of the ball

t is the time in seconds

we know that the given equation is a vertical parabola open downward

The vertex is the maximum

so

the y-coordinate of the vertex represent the maximum height of the ball

Convert the quadratic equation into vertex form

The equation in vertex form is equal to

y=(x-h)^{2}+k

where

(h,k) is the vertex of the parabola

h(t)=-16t^{2}+64t+5

h(t)-5=-16t^{2}+64t

h(t)-5=-16(t^{2}-4t)

h(t)-5-64=-16(t^{2}-4t+4)

h(t)-69=-16(t^{2}-4t+4)

h(t)-69=-16(t-2)^{2}

h(t)=-16(t-2)^{2}+69

the vertex is the point (2,69)

therefore

The maximum height is 69 ft

6 0
3 years ago
Find the exact value of sin
kvv77 [185]
The inverse value of sin⁻¹(A) = Ф° , is sin(Ф) = A


sin(Ф°) = (-√3)/2 THAT MEANS Ф = -60° OR Ф = 300°
7 0
3 years ago
The area of the octagon below is 10,391.9 square millimeters. An octagon has an apothem of 56 millimeters and an area of 10,391.
VladimirAG [237]

Answer:

371 & 46

Step-by-step explanation:

3 0
3 years ago
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Gabe drops a hammer from an apartment that is 30 meters above the
cluponka [151]

A 0 because you can not subtract 2-5 or the rest

6 0
3 years ago
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