MATHEMATICS MIDDLE SCHOOL

A)The equation of a line β is 2x-3y=6find the gradient of β
b) find the equation of the line which is parallel to β and passes through the point (6,9)

Answers

Answer 1
Answer:

Answer:

a) 2/3

b)y = (2)/(3) x + 5

Step-by-step explanation:

b) From my previous answer...

Since parallel lines have the same gradient,

the gradient of the line is 2/3 too.

Thus, m= 2/3.

y= 2/3x +c

Now substitute a coordinate into the equation to find c, the y-intercept.

When x=6, y=9,

9= (2/3)(6) +c

9= 4 +c

c= 9 -4

c= 5

Thus the equation of the line is y= 2/3x +5.

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What is 1 and 3/4-7/10

Answers

1 (3)/(4) - (7)/(10)
We first have to change the mixed number into a fraction and we do this by multiplying the denominator to the whole number and adding the product to the numerator.
It looks something like this:
1 (3)/(4)
4×1=4         (Multiply the denominator and the whole number)
4+3=7         (Add the product and the numerator)
(7)/(4) 
Keep the same denominator 
Now that we have the improper fraction, we can subtract.
(7)/(4) - (7)/(10)
Now in order to subtract we have to have a common denominator, so lets make both of the denominators 20.
(7)/(4) × (5)/(5) = (35)/(20)
(7)/(10) × (2)/(2) = (14)/(20)
(35)/(20) - (14)/(20) = (21)/(20)
21÷20=1.05 or 1 (1)/(20)
If you have any questions, feel free to ask. Hope that helped :)
first turn 1 3/4 into an improper fraction

1x3=3+4=7
7/4-7/10

now make a common denominator

the common denominator is 20 so do 4x5=20 and 10x2=20

do the same to the numerators 7x5=35 and 7x2=14

35/20-14/20

the answer as an improper fraction is 21/20 and as a mixed number it is 1 1/20

Laura spent $48.00 which was 15% of her money. How much money did she have

Answers

to solve this we can make a proportion

48      x
---  = ----
15    100

then cross multiply and divide

45 times 100 = 4500/15=300

she had 300 dollars

Truck driver drives for five hours at a constant speed of 55 mph. Write an equation that shows the total distance traveled (y) depending on the hours spent driving (x).

Answers

Step-by-step explanation:

y = 55x \n because \n distance \ = : \: speed \: * \: time

plzzz.. .......

mark it as a brilliant answer

Are there more or less than 5 pt of blood in an adult human?

Answers

there are more than 5 pints of blood in an adult human. the average is approximately 10 pints

What is −9s−8+ 5s=−10

Answers


-9s -8+5s=-10

-4s=-2

s= -2/-4

s= 1/2 = 0.5

Evaluate each expression (25^-3/2)^1/3

Answers

Following are the calculation to the given expression:

Given:

\to (25^{-(3)/(2))^{(1)/(3)}

To find:

evaluate expression=?

Solution:

\to (25^{-(3)/(2))^{(1)/(3)}= ((5^2)^{-(3)/(2))^{(1)/(3)}\n

                = (5^{2 * -(3)/(2)})^{(1)/(3)}\n\n= (5^(-3))^{(1)/(3)}\n \n= 5^{{-3}* (1)/(3)}\n \n= 5^(-1)\n\n=(1)/(5)

The final answer is "{(1)/(5)}".

Learn more:

brainly.com/question/8061466

Answer:

\large\boxed{\left(25^{-(3)/(2)}\right)^(1)/(3)=(1)/(5)}

Step-by-step explanation:

\text{Use}\ (a^n)^m=a^(nm)\n\n\left(25^{-(3)/(2)}\right)^(1)/(3)=25^{-(3)/(2)\cdot(1)/(3)}=25^{-(1)/(2)}\n\n\text{Use}\ a^(-n)=(1)/(a^n)\n\n=(1)/(25^(1)/(2))\n\n\text{Use}\ a^(1)/(n)=\sqrt[n]{a}\to a^(1)/(2)=\sqrt[2]{a}=√(a)\n\n=(1)/(√(25))=(1)/(5)
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