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ivann1987 [24]
2 years ago
8

Select the THREE expressions that are equivalent to 6x+ 1 - (3x - 1)

Mathematics
2 answers:
algol132 years ago
8 0
Se

please elaborate 9638x
faust18 [17]2 years ago
7 0
  • 3x + 2
  • 6x + 1 + -3x - -1
  • 6x + -3x + 1 + 1
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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
What is the value of the y-intercept of the graph of f(x) = e^1-x – 1?
ra1l [238]

Answer:

(0, e-1) or (0, 1.718) to the nearest thousandth.

Step-by-step explanation:

The y-intercept occurs when x = 0 so here we have:

y = e^(1 - 0) - 1

= e - 1

So the y-intercept is the point (0, e-1)

5 0
3 years ago
What number on the number line represents ground level?<br>0<br>-1<br>-2<br>-3<br>-4<br>-5<br>-6​
ki77a [65]

Answer:

0 represents ground level.

Step-by-step explanation:

0 on the number line represents ground level. Based on the photo, the 0 is in between the underground and the space above. The answer cannot be one of the negative numbers because those are all shown to be underground in the photo.

5 0
3 years ago
Please hurry, 15 points and it's overdue.
valina [46]

Answer:

The relationship is positive.

The model predicts a score of 60.

Not sure what part b is.

Step-by-step explanation:

Since while the money spent on advertising increases while the items sold increases, we have a positive relation between both variables.

By looking at where 30 is on the graph, we can see it lines up with 60,the middle between $40 and $80 on the y axis and so we know this is the cost associated with this value.

4 0
3 years ago
In triangle ABC, m is the value of x?
Nezavi [6.7K]

Answer:

lol if a = 90 then b = 75 so C is 105

then you get the derivative number which is X by adding a2 b2 then dividing by the c2. so its true

Step-by-step explanation:

6 0
3 years ago
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