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3 years ago

Find the component form of the vector that translates P(4,5) to p'.

Mathematics

1 answer:

Veronika [31]3 years ago

4 0

Answer:

Component form : (-7 , 2)

Step-by-step explanation:

P(4 , 5) = P'(4 +x , 5+y) = P'(-3 , 7)

4 + x = -3

x = -3 - 4

x = -7

5 + y = 7

y = 7 - 5

y = 2

Vector form : -7i + 2j

Component form : (-7 , 2)

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An airplane travels 6200 kilometers against the wind in 8 hours and 6840 kilometers with the wind in the same amount of time. Wh

lubasha [3.4K]

Answer:

still air = 815, wind = 40

Step-by-step explanation:

x+y=against

x-y=with

8(x+y)=6200

8(x-y)=6840

Divide 8.

x-y=775

x+y=855

Subtract. 2 from 1

2y=80

y=40

x=815

Hope this helps plz hit the crown :D

4 0

3 years ago

Plz help I need it!!!!!!!!!!!!

AlekseyPX

Answer:

114°

Step-by-step explanation:

$? = \frac{1}{2} (53 \degree + 175 \degree) \\ \\ ? = \frac{1}{2} \times 228 \degree\\ \\ ? = 114 \degree$

8 0

3 years ago

Please answer!! 20 points ASAP

lidiya [134]

<u>Answer:</u>

The length of VI to the nearest tenth is 4 cm

Solution:

The plot is like a quadrilateral and the fences are built on the diagonal

We know that for quadrilateral both the diagonals are in same height,

So as per the picture, $\mathrm{GH}=\mathrm{Fl}$

Now we know that $\mathrm{GV}=6.55 cm; \mathrm{FV}=5.84 cm; \mathrm{VH}=3.27 cm$

Hence,

$GH = FI$

$\Rightarrow GV + VH = VI + VF$

$\Rightarrow 6.55 + 3.27 = VI + 5.84$

$\Rightarrow VI = 6.55 + 3.27 - 5.84$

$\Rightarrow VI = 3.98$

<u>Rounding off:</u>

If the number that we are rounding is followed by 5 to 9, then the number has to be increased to the next successive number.

If the number that we are rounding is followed by 1 to 4, then the number has to remain the same.

Here the number to be round off is 3.98, 9 belongs to the first category stated above. So, 3 is increased to 4.

Hence, the length of VI = 4 cm.

7 0

3 years ago

3. Solve the equation using square roots. If the equation has no real solution, write

noname [10]

3) x² - 121 = 0

x² = 121

x' = +√121

x' = 11

_______________

x'' = - √121

x'' = -11

Solution ⇒ S{-11 ; 11 } or (x-11)(x+11)

4) 4x² + 144 = 0

4x² = -144

x² = -144 / 4

x² = -36

x = √-36

No solution ⇒ S = ∅

5) z²+10z+21 = 0

Δ = 10² - 4(1)(21)

Δ = 100 - 84

Δ = 16

x' = (-10+4) / 2 = -6/2 = -3

x'' = (-10-4) / 2 = -14/2 = -7

Solution ⇒ S{ -7 ; -3} or (x+3)(x+7)

4 0

3 years ago

the length of a diagonal of a square field is 220 metres find the length of a side in metres and the area of the field in hectar

andre [41]

Answer:

Step-by-step explanation:

h^2=x^2+y^2, since this is a square x=y=s so

220^2=2s^2

2s^2=48400

s^2=24200

s=24200^(1/2)m (exact)

s=155.56m (rounded to nearest hundredth of a meter)

One hectare is equal to 10000m^2

A=24200m^2(h/10000m^2)

A=2.42 hectares

7 0

2 years ago