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aleksley [76]
3 years ago
10

Adjust the equation so the line passes through the points. Y=x+1

Mathematics
1 answer:
lapo4ka [179]3 years ago
3 0

Answer:

Slope=  

2.000

2.000

​  

=1.000

x−intercept=  

−1

1

​  

=−1.00000

y−intercept=  

1

1

​  

=1.00000

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    y-(x+1)=0  

STEP

1

:

Equation of a Straight Line

1.1     Solve   y-x-1  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  y-x-1  = 0 and calculate its properties

Graph of a Straight Line :

 

 

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 1/1 so this line "cuts" the y axis at y= 1.00000

 y-intercept = 1/1  =  1.00000  

Calculate the X-Intercept :

When y = 0 the value of x is 1/-1 Our line therefore "cuts" the x axis at x=-1.00000

 x-intercept = 1/-1  = -1.00000  

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 1.000 and for x=2.000, the value of y is 3.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 3.000 - 1.000 = 2.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     =  2.000/2.000 =  1.000  

Geometric figure: Straight Line

1.  Slope = 2.000/2.000 = 1.000

2. x-intercept = 1/-1 = -1.00000

3.  y-intercept = 1/1 = 1.00000

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Answer:

x <= 9

Step-by-step explanation:

x -15 <= -6

+15. +15

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What is the longest line segment that can be drawn in a right rectangular prism that is 14cm​ long, 13cm​ wide, and 11cm​ tall?
vlabodo [156]

The longest line segment that can be drawn in a right rectangular prism that is 14cm long, 13cm wide and 11cm tall is 19.1cm.

<h3>What is a right rectangular prism?</h3>

A right rectangular prism is a three dimensional solid shape formed by 6 rectangles.

it is also called the cuboid.

Analysis:

The diagonal of the face of the prism with dimensions 14cm long and 13cm wide is the longest line segment that can be drawn.

Since rectangles have 90° on each vertex, we can use Pythagoras theorem to calculate for the length of the diagonal.

(diagonal)^{2} = (length)^{2} + (width)^{2}

(diagonal)^{2} = (14)^{2} + (13)^{2}

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Learn more about Right rectangular prism: brainly.com/question/3317747

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4 0
1 year ago
PLEASE ANSWER FOR BRAINLIEST!!
e-lub [12.9K]

Answer:

mFG = 67r ( Where r is the radius of the circle)

∠ECF = 67°

Step-by-step explanation:

i) m FG

Join CG

∠GCF=67°

(As FG=ED and equal chords subtend equal angle at center)

Now The length of the minor arc is given by the formula

m arc FG =

\frac {C}{2 \pi} \times 2 \pi r

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m arc FG = \frac {67}{2 \pi} \times 2 \pi r

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2. ∠ECF = 67°

It is because of the rule which says that equal chords subtend equal angle at center

DE = EF

Hence ∠DCE = ∠ECF

7 0
2 years ago
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Ilia_Sergeevich [38]

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