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Mumz [18]
3 years ago
9

middle" class="latex-formula">
Mathematics
2 answers:
BabaBlast [244]3 years ago
6 0

Rearrange terms

⟹ 211 = 6(3 + 8x) + 1 \:  \\ ⟹211 = 6(8x + 3) + 1

Add the numbers

⟹ 211 = 48x + 19

Subtract 19 from both sides of the equation

⟹211 = 48x + 19 - 19

Subtract the numbers

⟹  \: 192 = 48x + 19 - 19

⟹\: 192 = 48x

Divide both sides of the equation by the same term

Divide the numbers

\\ ⟹  \frac{192}{48x}  =  \frac{48x}{48} \\ \:  ⟹  \:  \:  \:  \:  \:  \:  \: 4 =  \frac{48x}{48}

Cancel terms that are in both the numerator and denominator

\\ \: ⟹\:  4 =  \frac{48x}{48}

Move the variable to the left

\\ ⟹4 = x

\\ ⟹x = 4

⇒ \:  Ans \: ⇒ x = 4 \: ⇐

harkovskaia [24]3 years ago
5 0
X=4
211=18+48x+1
211=19+48x
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Write a polynomial of least degree with rational coefficients and with the root 3-2 square root of 7
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Answer:

Wth

Step-by-step explanation:

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4 0
4 years ago
100,000+20000+200+5 in standard form
GarryVolchara [31]
100,000+20,000+200+5 in standard form is 120,205
5 0
3 years ago
Determine whether AB←→ and CD←→− are parallel, perpendicular, or neither. A(−1, −4), B(2, 11), C(1, 1), D(4, 10)
Paladinen [302]
Slope of AB
m = (y2 - y1)/(x2 - x1)
m = (11 - (-4))/(2 - (-1))
m = (11 + 4)/(2 + 1)
m = 15/3
m = 5
The slope of line AB is 5

Slope of CD
m = (y2 - y1)/(x2 - x1)
m = (10 - 1)/(4 - 1)
m = 9/3
m = 3
The slope of CD is 3

Since the two slopes are not equal, this means the lines are not parallel.
Since (slope of AB)*(slope of CD) = 5*3 = 15 is not equal to -1, this means the lines are not perpendicular

Answer: Neither (not parallel; not perpendicular)

4 0
4 years ago
In this diagram, line segment CD is the
AfilCa [17]

Answer:

Point E is closer to point A

Step-by-step explanation:

<em>"I have added screenshot of the complete question as well as the </em>

<em> diagram"</em>

- In this diagram, line segment CD is the  perpendicular bisector of line

 segment  AB

∴ AB ⊥ CD

∵ CD intersect AB at M

∴ M is the mid-point of AB

∴ The length of  AM = the length of MB

- Assume the conjecture that the set of  points equidistant from A

 and B is the  perpendicular bisector of AB is true

∴ Any point lies on the line CD equidistant from A and B

- <u><em>If point E lies on the line CD</em></u>

∵ CD is the perpendicular bisector of AB

∵ E lies on CD

∴ The length of EA = The length of EB

- <u><em>From the figure point E is on the left side of the line CD</em></u>

∵ Point A is on the left side of the line CD

∵ Point B is on the right side of the line CD

∵ Point E is on the left side of the line CD

∴ The length of AE < The length of BE

∴ Point E is closer to point A

3 0
3 years ago
My car uses 160 litres of petrol which is 80% of the total petrol I buy for the week. How many litres of petrol do I buy for the
Tju [1.3M]

Answer:

<em>The Answer will be 200</em>

Step-by-step explanation:

1.<em> Divide</em>

200 ÷ 5 = 40

40 is the number of litres for 20% of the total amount.

2. <em>Multiply</em>

40 × 4 (4 is 80% of 5)

= 160

<em>Therefore the answer is 200 because 80% of 200 will be 160.</em>

8 0
3 years ago
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