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Hatshy [7]
3 years ago
15

A sum of 6(3x+8)+32+12x in different ways

Mathematics
1 answer:
Lemur [1.5K]3 years ago
8 0
First you have multiply 6 by both 3x and 8
6*3x = 18x
6*8= 48
18x + 48 + 32 + 12x
now combine like terms
18x + 12x = 30x
48 + 32 = 80
so 30x + 80 is your answer
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In the figure below, points M, P, H, J, and K lie in plane Z.
marishachu [46]

Answers:

  • (a) LN
  • (b) PHJ
  • (c) K
  • (d) HK

===================================================

Explanation:

Part (a)

Lines LN and PN have the point N in common. This is the intersection point.

-----------------

Part (b)

To name a plane, pick any three non-collinear points that are inside it. We cannot pick points H, J, K together because infinitely many planes pass through it. Imagine the piece of flat paper able to rotate around this axis (like a propeller). Having the points not all on the same line guarantees we form exactly one unique plane.

I'll pick the non-collinear points P, H and J to get the name Plane PHJ. Other answers are possible.

------------------

Part (c)

Points H, J and K are collinear as they are on the same line. Pick either H or K to fill out the answer box. I'll go with point K

------------------

Part (d)

Point P and line HK are coplanar. They exist in the same flat plane, or on the same sheet of flat paper together.

We can think of that flat plane as the ground level while something like point N is underground somewhere. So point N and anything on that ground plane wouldn't be coplanar.

Note: there are other possible names for line HK such as line JH or line JK. The order doesn't matter when it comes to naming lines.

4 0
3 years ago
The transformation of 'f' is represented by 'g'. Write a rule for g. f(x)=\root(3)(x). Then show your check steps.
podryga [215]

Answer:

g(x)=-2\sqrt[3]x

or

g(x) = -2f(x)

Step-by-step explanation:

Given

f(x) = \sqrt[3]x

Required

Write a rule for g(x)

See attachment for grid

From the attachment, we have:

(x_1,y_1) = (-1,2)

(x_2,y_2) = (1,-2)

We can represent g(x) as:

g(x) = n * f(x)

So, we have:

g(x) = n * \sqrt[3]x

For:

(x_1,y_1) = (-1,2)

2 = n * \sqrt[3]{-1}

This gives:

2 = n * -1

Solve for n

n = \frac{2}{-1}

n = -2

To confirm this value of n, we make use of:

(x_2,y_2) = (1,-2)

So, we have:

-2 = n * \sqrt[3]1

This gives:

-2 = n * 1

Solve for n

n = \frac{-2}{1}

n = -2

Hence:

g(x) = n * \sqrt[3]x

g(x)=-2\sqrt[3]x

or:

g(x) = -2f(x)

4 0
3 years ago
4x^2 +3x-11y+17
masha68 [24]

Answer:

1) 4x^2, 3x, -11y, 17 (4 terms)

2) 4, 3, -11, 17 (4 coefficients)

3) none

Step-by-step explanation:

3 0
3 years ago
Given f(x)=2x+3 find x=9 show your work
Allushta [10]

Answer:

f(9) =21

Step-by-step explanation:

I will assume you want to find f(9) when x=9

Let x=9

f(9) = 2(9) +3

    = 18+3

     =21

f(9) =21

7 0
3 years ago
12x - 2/3 = 83 1/3 <br><br> 12x=?<br><br> x=?
Serjik [45]

Answer:

12x = 84

x = 7

Step-by-step explanation:

12x = 83 1/3 + 2/3

12x = 84

x = 84/12

x = 7

Hope that helps!

4 0
2 years ago
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