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abruzzese [7]
3 years ago
15

A car, starting from a city, traveled east for 100 km and then west for

Mathematics
1 answer:
Vesnalui [34]3 years ago
8 0
Microsoft maths somebody is saying
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Solve the simultaneous equation 2p - 3q = 4, 3p + 2q = 9. <br>b. if 223= 87 find x<br>​
wolverine [178]

Answer:

Step-by-step explanation:

Given the simultaneous equation 2p - 3q = 4 and 3p + 2q = 9, to get the value of p and q we will use elimination method.

2p - 3q = 4 ...................... 1 * 3

3p + 2q = 9 ..................... 2 * 2

Multiplying equation 1 by 3 and 3 by 2:

6p - 9q = 12

6p + 4q = 18

Subtracting both equation

-9q-4q = 12-18

-13q = -6

q = -6/-13

q = 6/13

Substituting q = 6/13 into equation 2

2p - 3(6/13) = 4

2p - 18/13 = 4

2p = 4+18/13

2p = (52+18)/13

2p = 70/13

p = 70/26

p = 35/13

<em>Hence p = 35/13 and q = 6/13</em>

<em></em>

<em>b) </em>If if 223ₓ = 87 find x

Using the number base system and converting 223ₓ  to base 2 will give us;

223ₓ = 2*x² + 2*x¹ + 3*x⁰

223ₓ  = 2x²+2x+3

​

Substituting back into the equation, 2x²+2x+3 = 87

2x²+2x+3-87 = 0

2x²+2x-84 = 0

x²+x-42 = 0

On factorizing:

(x²+6x)-(7x-42) = 0

x(x+6)-7(x+6) = 0

(x+6)(x-7) = 0

x+6 = 0 and x-7 = 0

x = -6 and 7

<em>Hence the value of x is 7 (neglecting the negative value)</em>

5 0
3 years ago
Lots of point up for grabs
Burka [1]
Minus a from both sides
x-a=-2by²
times both sides by -1
a-x=2by²
divide both sides by 2b
\frac{a-x}{2b}=y^2
sqrt both sides
y= \sqrt{\frac{a-x}{2b}}
5 0
3 years ago
Read 2 more answers
Use a rectangular array to write the product in Standard form 2(x+10=?​
Sladkaya [172]

Hello there!

I hope you and your family are staying safe and healthy during this winter season!

See the attached picture for the answer!

Thanks!

~Garebear

7 0
3 years ago
15 points please help me​
liubo4ka [24]

Answer: The answer is D. -1, 2, 5, 8

Step-by-step explanation: Arithmetic means Add or Subtract. You are adding 3 to get your next number. If that makes sense?

6 0
3 years ago
Read 2 more answers
PLLLLLEASE I NEED HELP SO BADLY PLEASE ASAP PLEASE PLEASE T_T
olchik [2.2K]

Answer:

x^2+7x-8-\frac{3}{x-7}

Step-by-step explanation:

I think this question is a bit hard to explain by typing, so I'll add an image down below.  

I used long division for this question, and the final answer is: x^2+7x-8-\frac{3}{x-7}

4 0
1 year ago
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