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max2010maxim [7]
3 years ago
8

Which of the following linear equations passes through points (–1, 5) and (1, –5)?

Mathematics
1 answer:
Rus_ich [418]3 years ago
7 0

Answer:

the answer is on the attached paper

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Can someone please help me with these math problems ASAP?!<br> Thanks in advance! ;)
Mamont248 [21]

Answer:

11) Here given Function,

f(x) = \sqrt{2x-11}

And, g(x) = -|0.1|x+5

For f(x) = g(x)

\sqrt{2x-11}=-|0.1|x+5

2x-11=(-|0.1|x+5)^2

2x-11=0.01x^2 - 10|0.1|x+25

2x=0.01x^2 - 10|0.1|x+25+11

2x=0.01x^2 - 10|0.1|x+36

0.01x^2 - 10|0.1|x - 2x+36=0

When we solve this equation,

We found,

 x = 12.5227 ≈ 12.53

Thus, the required solution is, x = 12.53

12) Here the height of rocket A in x second,

f(x) = -16x^2+74x+9

And, The height gain by the rocket B in x seconds,

g(x) = -16x^2+82x

If at x seconds both A and B gain the same height,

That is, f(x) = g(x)

⇒ -16x^2+74x+9= -16x^2+82x

⇒74x + 9 = 82x

⇒ 82x - 74x = 9

⇒ 8x = 9

⇒ x = 1.125 ≈ 1.13

Thus, the required solution is x = 1.13 seconds (approx)


4 0
3 years ago
A rectangle is 2/5 inches long and 1/3 inches wide. What is the area of the rectangle?
oksano4ka [1.4K]

Step-by-step explanation:

2/5 x 1/3 = 2/15 inches squared

7 0
2 years ago
Question:
Setler79 [48]
To find equivalent equations, you simply have to simplify both of these :)

a)  5/6(x - 6) + 1/6(3 - x)

Simplify.

5/6x - 5 + 1/2 - 1/6x

Add like terms.

(5/6x - 1/6x) + (-5 + 1/2)

Simplify.

4/6x +(-4.5)

Simplify.

2/3x - 4.5

b) (y + 7)4 + 8 - 5y

Simplify.

4y + 28 + 8 - 5y

Add like terms.

(4y - 5y) + (28 + 8)

Simplify.

-y + 36

~Hope I helped!~
4 0
3 years ago
The area of rectangle is ( 30x²y + 20xy ) cm² and its breadth is 10xy cm .Find its length.
emmasim [6.3K]

Step-by-step explanation:

1) The area of rectangle is ( 30x²y + 20xy ) cm² and its breadth is 10xy cm .Find its length....

= Solution ,

Length ( L ) = ?

breadth ( b ) = 10xy cm

area ( a ) = ( 30x² + 20xy )

Now ,

area ( a ) = l × b

or, ( 30x²y + 20xy ) = L × 10xy cm

or,\frac{30 {xy + 20xy}^{2} }{10xy}  = l \\

or, \: l = 3 {x}^{2 - 1}  + 2cm

\boxed{\sf{l = (3x+2)cm}}

2) Subtract the quotient when 20x⁴y² is divided by 5x³y from the product of 2x and 3y.

= Solution,

= \frac{20 {x}^{4} {y}^{2}  }{5 {x}^{3} y}   \\

= 4xy

The product of 3x and 4y = 6xy

= 6x - 4xy

= \boxed{\sf {2xy}}

hope it helped !!!!

7 0
1 year ago
F(x)=x^2-2.g(x)=4x-2
Alex777 [14]

Answer:

Step-by-step explanation:

f(x) = x²-2

g(x) = 4x-2

f.g(x)= x²-2(4x-2) = x²(4x-2)-2(4x-2) = 4x³-2x²-8x+4

f.g(x) =  4x³-2x²-8x+4

7 0
2 years ago
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