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3 years ago

Find the slope of the line. Write your answer in simplest form.

Mathematics

1 answer:

Savatey [412]3 years ago

3 0

The slope of this line is: m = 3/4

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Gordon, Henry and Sarah share £48 in a ratio 2:3:1. How much money does each person get?

Alinara [238K]

Answer:

Gordon gets 16£, Henry gets 24£ and Sarah gets 8£

Step-by-step explanation:

Let the ratio be 2x + 3x + 1x

Total amount = £48

So;

2x + 3x + x = 48

6x = 48

x = 48 / 6

x = 8

Now

2x = 16

3x = 24

x = 8

5 0

3 years ago

Need help ASAP!! Find the mid-point of the hypotenuse.

maw [93]

Step-by-step explanation:

Midpoint of Hypotenuse

= [(0 + n)/2, (n + 0)/2]

= (n/2, n/2) or (0.5n, 0.5n).

7 0

3 years ago

what is the mean absolute deviation of the following numbers 18,28,24,25,15.

horsena [70]

Answer:

4.4

Step-by-step explanation:

3 0

3 years ago

Can SOMEBODYYY please do the maths!!! PLeassssssssssssseeeeeeee

Anna11 [10]

Answer:

<h2>see below</h2>

Step-by-step explanation:

<h3>Question-6:</h3>

we are given a equation

$\sf \displaystyle \: \log_{4}( - x) + \log_{4}( 6 - x) = 2$

to solve so

recall logarithm multiplication law:

$\sf \displaystyle \: \log_{4}( - x \times (6 - x)) = 2$

simplify multiplication:

$\sf \displaystyle \: \log_{4}( - 6 x + {x}^{2} ) = 2$

remember $\displaystyle \log_{4}(4^2)=2$

$\sf \displaystyle \: \log_{4}( - 6 x + {x}^{2} ) = \log_{4}( {4}^{2} )$

cancel out $\log_4$ from both sides:

$\sf \displaystyle \: - 6 x + {x}^{2} = {4}^{2}$

simplify squares:

$\sf \displaystyle \: - 6 x + {x}^{2} = 16$

move left hand side expression to right hand side and change its sign:

since we are moving left hand side expression to right hand side there'll be only 0 left in the left hand side

$\sf \displaystyle \: - 6 x + {x}^{2} - 16 = 0$

rewrite it to standard form i.e ax²+bx+c=0

$\sf \displaystyle \: {x}^{2} - 6x - 16 = 0$

rewrite -6x as 2x-8x:

$\sf \displaystyle \: {x}^{2} + 2x - 8x - 16 = 0$

factor out x and 8:

$\sf \displaystyle \: x {(x}^{} + 2) - 8(x + 2) = 0$

group:

$\sf \displaystyle \: (x - 8){(x}^{} + 2) = 0$

$\displaystyle \: x = 8 \\ x = - 2$

$\therefore \: x = - 2$

<h3>Question-7:</h3>

move left hand side log to right hand side:

$\displaystyle \: \log(x ) + \log(x - 21) = 2$

use mutilation logarithm rule;

$\displaystyle \: \log( {x}^{2} - 21x) = 2$

$\log(10^2)=2$ so

$\displaystyle \: \log( {x}^{2} - 21x) = \log({10}^{2} )$

cancel out log from both sides:

$\displaystyle \: {x}^{2} - 21x = 100$

make it standard form:

$\displaystyle \: {x}^{2} - 21x - 100= 0$

factor:

$\displaystyle \: {(x} + 4)(x - 25)= 0$

$\displaystyle \: x = 25$

5 0

2 years ago

Simplify (9x+5y)-(3x-7y)

ella [17]

Answer:

6x+12y

Step-by-step explanation:

U did not say show your work

6 0

2 years ago