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3 years ago

Please help me i need help points and brainly

Mathematics

2 answers:

fiasKO [112]3 years ago

7 0

since there is 2 points between 8 and 12 (a four number difference) then each space is 2 and there is 4 points between 12 and the blue dot so this is 12+4(2) or the blue dot is 20

snow_lady [41]3 years ago

4 0

The values go up by 2. So your answer would be 20.

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Salsk061 [2.6K]

12 x 4 =48
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3 0

3 years ago

Read 2 more answers

Find a unit vector that has the same direction as the given vector. 8i ? j + 4k

e-lub [12.9K]

Answer with Step-by-step explanation:

a.Let given vector

a=8i-j+4k

$\mid a\mid=\sqrt{(8)^2+(-1)^2+(4)^2}=9$

By using the formula

Magnitude of a vector= $\sqrt{x^2+y^2+z^2}$

Where x=Coefficient of i

y=Coefficient of j

z=Coefficient of k

Unit vector= $\hat{a}=\frac{a}{\mid a\mid}$

By using the formula

The unit vector= $\hat{a}=\frac{8i-j+4k}{9}=\frac{8}{9}i-\frac{1}{9}j+\frac{4}{9}k$

b.Let vector b=-2i+4j+2k

$\mid b\mid=\sqrt{(-2)^2+4^2+2^2}=2\sqrt 6$

$\hat{b}=\frac{-2i+4j+2k}{2\sqrt 6}$

Length of vector=6

Therefore, the vector in the direction of <-2,4,2> with length 6 is given by = $6\hat{b}=6\times \frac{-2i+4j+2k}{2\sqrt 6}$

The vector in the direction of <-2,4,2> with length 6 is given by = $-\sqrt 6(-i+2j+k)$

c. $\theta=\frac{\pi}{3}$

$\mid v\mid=8$

Let v= $v_x i+v_y j$

$v_x=\mid v\mid cos\theta$

$v_x=8cos\frac{\pi}{3}=8\times \frac{1}{2}=4$

$cos\frac{\pi}{3}=\frac{1}{2}$

$v_y=\mid v\mid sin\theta$

$v_y=8\times sin\frac{\pi}{3}=8\times \frac{\sqrt 3}{2}=4\sqrt 3$

$sin\frac{\pi}{3}=\frac{\sqrt 3}{2}$

Therefore, the vector v in component form= $4i+4\sqrt 3j$

7 0

3 years ago

Identify the equation of the circle that has its center at (9, 12) and passes through the origin.

Tcecarenko [31]

Answer:

(x-9)^2 +(y-12)^2 = 225

Step-by-step explanation:

First find the length of the radius

If is the distance from the center to the point

d = sqrt( (x2-x1)^2 + (y2-y1)^2 )

= sqrt( (0-9)^2 + (0-12)^2)

= sqrt ( 81+144)

= sqrt(225)

= 15

The equation for a circle is

( x-h) ^2+ (y-k)^2 = r^2

(x-9)^2 +(y-12)^2 = 15^2

(x-9)^2 +(y-12)^2 = 225

4 0

3 years ago

Write the linear equation in slope-intercept form 2x - 3y = 6

noname [10]

2x - 3y = 6
3y = -2x + 6

y = - $\frac{2}{3}$ x + 2

m = - $\frac{2}{3}$
c = 2

Linear Equation:
y = - $\frac{2}{3}$ x + 2

7 0

3 years ago

The population in the South in 2000 was 100,236,820. In 2010, the population in the South had increased by 14.3% from 2000. Abou

Vaselesa [24]

Answer:

114,570,685.26

Step-by-step explanation:

100,236,820 x 14.3% = 14,333,865.26

100,236,820 + 14,333,865.26 = 114,570,685.26

4 0

4 years ago