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2 years ago

What is the point-slope form of a line with slope 6 that contains the point

Mathematics

1 answer:

blondinia [14]2 years ago

8 0

Answer:

<h2>The answer is option C</h2>

Step-by-step explanation:

To find an equation of a line in point slope form when given the slope and a point we use the formula

$y - y_1 = m(x - x_1)$

where

m is the slope

( x1 , y1) is the point

From the question the point is (1,2) and the slope is 6

The equation of the line in point slope form is

Hope this helps you

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The endpoints of RS are R(–5, 12) and S(4, –6). What are the coordinates of point T, which divides RS into a 4:5 ratio?

Ksivusya [100]

Answer:

Option 2 is correct that is (-1,4)

Step-by-step explanation:

We will use the section formula to find the coordinates of T

Formula is $(x,y)=\frac{m_1x_2+m_2x_1}{m_1+m_2},\frac{m_1y_2+m_2y_1}{m_1+m_2}$

Here, $m_1=4,m_2=5,x_1=-5,y_1=12,x_2=4,y_2=-6$

On substituting the values in the formula we get

$(x,y)=\frac{4\cdot 4+5\cdot -5}{4+5},\frac{4\cdot -6+5\cdot 12}{4+5}$

$\Rightarrow (x,y)=\frac{4\cdot 4+5\cdot -5}{4+5},\frac{4\cdot -6+5\cdot 12}{4+5}$

$\Rightarrow (x,y)=\frac{16-25}{9},\frac{-24+60}{9}$

$\Rightarrow (x,y)=\frac{-9}{9},\frac{36}{9}$

$\Rightarrow (x,y)=(-1,4)$

Therefore, option 2 is correct that is (-1,4)

4 0

2 years ago

Read 2 more answers

The length of three sides of a triangle are 12, 35 and 37 centimeters. Determine whether the triangle is a right triangle. Show

Aleks04 [339]

Answer:

it is a right triangle

Step-by-step explanation:

confirm if it is a right triangle using Pythagoras theorem

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c = hypotenuse

12² + 35²

144 + 1225 = 1369

square toot of 1369 is 37

12² + 35² = 37²

6 0

2 years ago

Help me with #1 please :) Is it A?

Hoochie [10]

Yes, you are correct, it is A!

Recall the pencil line test, which is where you go across the x axis (the graph horizontally) and see if the pencil touches any two points at the same time. If it does, then the graph is not a function.

Point being: since question a has a bunch of y values on top of one x value, the pencil would inevitably touch multiple at the same time, hence why it is easy to tell that it is not a function! Hope this helps :)

4 0

2 years ago

Write an equation of the line passing theough the point (4,-1) and perpendicular to the line y=2x-5.

Gwar [14]

Icons ojzo kook oak am

7 0

2 years ago

A(1) = -11<br> a(n) = a(n − 1). 10<br> What is the 4th term in the sequence?

neonofarm [45]

Answer:

a(n)= a(n-1) .10

Clearly see the equation

you can do it directly Apply logic

Every n th term is 10 times of previous n-1 th term

That is common ratio an/a(n-1)= 10

So, We have to find 4 th term

So, 4 th term is simply

1st term × (common ratio)^(4-1)

-11( 10)^3

-11000

Thanks

3 0

2 years ago