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maxonik [38]
3 years ago
5

Which linear function represents the line given by the point slope equation y+1=-3(x-5)

Mathematics
1 answer:
dangina [55]3 years ago
3 0

To find the linear form of a point-slope equation, simply solve for y:

y+1=-3(x-5)

<em>*Distribute the -3*</em>

y+1=-3x+15

<em>*Subtract 1 from both sides*</em>

y=-3x+14

Hope this helps!!

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Find the magnitude and direction in degrees of the vector v=6i+2 seq31​
masha68 [24]

Answer:

Please check the explanation.

Step-by-step explanation:

Given the vector

v = 6i + 2√3j

The Magnitude of a vector:

\mathrm{Computing\:the\:Euclidean\:Length\:of\:a\:vector}:\quad \left|\left(x_1\:,\:\:\ldots \:,\:\:x_n\right)\right|=\sqrt{\sum _{i=1}^n\left|x_i\right|^2}

=\sqrt{6^2+\left(2\sqrt{3}\right)^2}

=\sqrt{36+12}

=\sqrt{48}

\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b}

=\sqrt{3}\sqrt{2^4}

=4\sqrt{3}

The Direction of a vector:

tan Ф = y/x

y=2√3

x = 6

tan Ф = y/x

          = 2√3 / 6

           = √3 / 3                  

\theta \:=tan\:^{-1}\left(\frac{\sqrt{3}}{3}\right)

\:\theta \:=\frac{\pi \:}{6}=30^{\circ \:}

6 0
3 years ago
A jet plane has a takeoff speed of vto = 75 m/s and can move along the runway at an average acceleration of 1.3 m/s2. If the len
pishuonlain [190]
Initial velocity of the plane is Vo = 0.
acceleration a = 1.3 m/s2
total distance = 2.5 km = 2500m

time taken to reach 2.5 km with 1.3m/s^2 acceleration = t
S = Vo t + 0.5 a t^2
2500 = 0 + (0.5*1.3* t^2)
t^2 = 3846.15
t = 62 s

the maximum velocity plan can reach within 62 s is Vt
Vt = Vo + a t
Vt = 0 + (1.3*62)
Vt = 80.6 m/s

Since 80.6 m/s is greater than 75 m/s, plane can use this runway to takeoff with required speed.
6 0
3 years ago
Read 2 more answers
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devlian [24]

Answer:

MP = 29

Step-by-step explanation:

MP = 17 + 3y

5y + 9 = 17 + 3y

      -9    -9

5y = 8 + 3y

-3y        -3y

2y = 8

2y / 2 = 8 / 2

y = 4

MP = 17 + 3 (4)

MP = 29

5 0
1 year ago
Rewrite the expression 7x+21=
Dima020 [189]
Minus the 21 from the other side of the equation making it 7x=-21 then u divide the 7 from the x to the -21 resulting in x=-3
5 0
2 years ago
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PLEASE HELP!!!!! I WILL GIVE BRAINLIEST TO THE CORRECT ANSWER
Luda [366]

Answer:

Step-by-step explanation:

4 0
3 years ago
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