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3 years ago

Find the equation of a line that contains the points (6,3) and (6,−2).

Mathematics

2 answers:

alexandr1967 [171]3 years ago

4 0

Answer:

The equation of the line is y = -5x + 33

Step-by-step explanation:

first you find the slope

slope=y2-y1

x2-x1

= -2 - 3

6 - 6

slope= -5

then you find the equation of the line

 soln

y - 3 = -5

x - 6

= y - 3 = -5x + 30

y = -5x + 30 + 3

y = -5x + 33

RSB [31]3 years ago

3 0

Answer:

x = 6

Step-by-step explanation:

First find the gradient,

$Gradient = \frac{y2-y1}{x2-x1} = \frac{-2-3}{6-6} =\frac{-5}{0} =0$

Since this line has no gradient, it means that it's a horizontal or vertical line. We cannot substitute in the values because the gradient is 0 so this line will only be x = 6

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2 years ago

Factor completely 4u^2-28u+49

icang [17]

$\bold{Answer}$

$\boxed{\bold{\left(2u-7\right)^2}}$

$\bold{Explanation}$

$\bold{Factor: \ 4u^2-28u+49}$

$\bold{---------------------}$

$\bold{Rewrite \ 4u^2-28u+49: \ \left(2u\right)^2-2\cdot \:2u\cdot \:7+7^2}$

$\bold{\left(2u\right)^2-2\cdot \:2u\cdot \:7+7^2}$

$\bold{Apply \ Perfect \ Square \ Formula \ \left(a-b\right)^2=a^2-2ab+b^2: \ a=2u,\:b=7}$

$\bold{\left(2u-7\right)^2}$

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3 years ago

Read 2 more answers

Party punch cost $2.50 per half gallon how much would 6 gallons cost

saveliy_v [14]

2.4 is the answer i think

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3 years ago

Read 2 more answers

maksim [4K]

Answer:

$\boxed {\boxed {\sf 250 \ people}}$

Step-by-step explanation:

Let's set up a proportion using the following setup.

$\frac {buses}{people}=\frac {buses}{people}$

We know 30 buses can carry 1,500 people.

$\frac {30 \ buses}{1500 \ people}=\frac {buses}{people}$

We don't know how many people 5 buses can carry, so we say 5 buses carry x people.

$\frac {30 \ buses}{1500 \ people}=\frac {5 \ buses}{x \ people}$

$\frac {30 }{1500 }=\frac {5 }{x }$

Cross multiply. Multiply the numerator of the first fraction by the second fraction's denominator. Then, multiply the first denominator by the second numerator.

$30*x=1500*5\\30x=7500$