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Rashid [163]
4 years ago
15

Write (2x+1)(3x-8) in expanded form

Mathematics
2 answers:
MrRa [10]4 years ago
5 0

(2x + 1)(3x - 8) \\ 6x {}^{2}   -  16x + 3x - 8 \\ 6x {}^{2}   -  13x - 8
Gre4nikov [31]4 years ago
3 0

(2x+1)(3x-8)

To write it in expanded form we use FOIL method

FOIL ----> First Outer Inner Last

First = 2x * 3x = 6x^2

Outer = 2x * -8 = -16x

Inner = 1 * 3x = 3x

Last = 1 * -8 = -8

Now write all the terms in order

6x^2 - 16x + 3x -8

Combine like terms

6x^2 - 13x  -8

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The length of a rectangle is 6 meters less than twice the width. The area of the rectangle is 140m². Find the dimensions of the
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Equation 1 is 2W - 6 = L
equation 2 is 140= W * L

L=10
W=8
8 0
3 years ago
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Solve the following system by substitution.<br> X+2y=14<br> 6x+3y=21
andrey2020 [161]

Answer:

Step-by-step explanation:

x + 2y  = 14 ...............(1)

6x + 3y = 21 ..............(2)

Solve for x in equation 1

When x + 2y = 14

Therefore x = 14 - 2y ...................(3)

Now put equation 3 in equation 2 and solve

6x + 3y = 21 .............(2)

6(14 - 2y) + 3y = 21

Open the bracket and resolve

84 - 12y + 3y = 21

-9y + 84 =21

Now collect the like terms

-9y + 84 = 21

-9y = 21 - 84

-9y = -63

Divide through by -9 to get y

y = -63/-9

y = 7

Substitute for y in equation( 3 )to x

x= 14 - 2y............(3)

So, x = 14 - 2(7)

x = 14 - 14

x = 0.

Therefore x = 0 and y = 7

Check: From equation (1)

x + 2y = 14

Now, put x = 0 and y = -2

Therefore, 0 +2(7) =14

0 +14 = 14

5 0
3 years ago
Can someone help me graph y=-2/3x-3
mario62 [17]

Answer:

Pic attached.

Step-by-step explanation:

Your slope is -\frac{3}{2} and your y-intercept is -3. Plot your y-intercept on the y axis at -3 and then go up 3 and over 2, plot another point.

Hope this helps! :)

5 0
3 years ago
Describe 58 as a sum of tens and ones
Thepotemich [5.8K]

Answer:

5 tens and 8 ones gives 58

Step-by-step explanation:

We have to describe 58 as a sum of tens and ones

We know that first digit from the right is the ones place

Second digit is the tens place

Hence, 5 tens and 8 ones gives 58

Also, we can see that

10+10+10+10+10=50   (5 tens)

and 1+1+1+1+1+1+1+1=8 (8 ones)

on adding both we get 58

Hence, 5 tens and 8 ones gives 58

4 0
3 years ago
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From the diagram below, if side DF is 4 cm., side CB would be ______.
kondaur [170]

The measure of CB from the given figure is 8cm

<h3>What is a triangle?</h3>

A triangle is 2 dimensional shape with 3 sides and angles. The types of triangle that we have are;

  • Equilateral triangle
  • Scalene triangle
  • Isosceles

The given triangle is a scalene triangle since <u>none of the sides are equal</u>

From the figure shown, we can see that the mea<em>sure of DF is equivalent to  CE and EB</em>

Since CB = CE + EB

Given the following parameter

DF = 4cm

CE = EB = DF = 4cm

Substitute

CB = 4cm + 4cm

CB = 8cm

Hence the measure of CB from the given figure is 8cm

Learn more on triangles here; brainly.com/question/25215131

#SPJ1

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2 years ago
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