Ladder diagram of 132

Match each set of points with the slope of the line formed by the ordered pairs.

Fynjy0 [20]

1) The slope of the point (0,0) and (2,1) is 1/2.

2) The slope of the point (0,-1) and (2,-5) is -2.

3) The slope of the point (0,7) and (2,4) is -3/2.

4) The points (-1,3) and (-1,-3) has No slope.

5) The slope of the point (1,-3) and (-1,-3) is zero.

Step-by-step explanation:

There are five set of points given in the question.

You need to find out the slope of the line formed by the points.

The formula used to find the slope of a line is given by,

Slope = $\frac{y2-y1}{x2-x1}$

1) The given points are (0,0) and (2,1)

(x1,y1) ⇒ (0,0)

(x2,y2) ⇒ (2,1)

Slope = $\frac{1-0}{2-0}$

⇒ 1/2 is the slope.

2) The given points are (0,-1) and (2,-5)

(x1,y1) ⇒ (0,-1)

(x2,y2) ⇒ (2,-5)

Slope = $\frac{-5+1}{2-0}$

⇒ $\frac{-4}{2}$

⇒ -2 is the slope.

3) The given points are (0,7) and (2,4)

(x1,y1) ⇒ (0,7)

(x2,y2) ⇒ (2,4)

Slope = $\frac{4-7}{2-0}$

⇒ -3/2 is the slope.

4) The given points are (-1,3) and (-1,-3)

(x1,y1) ⇒ (-1,3)

(x2,y2) ⇒ (-1,-3)

Slope = $\frac{-3-3}{-1+1}$

⇒ -6/0 (No slope)

If the denominator of a fraction is zero, the expression is not a legal fraction because it's overall value is undefined.

∴ There is no slope.

5) The given points are (1,-3) and (-1,-3)

(x1,y1) ⇒ (1,-3)

(x2,y2) ⇒ (-1,-3)

Slope = $\frac{-3+3}{-1-1}$

⇒ 0/-2

∴ The slope is zero.

5 0

4 years ago

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Can you help me? do any of ya'll know what the slope of f(x)=2x-1 is?

Cerrena [4.2K]

F(x) is written in mx + b form for linear equation. so we have m =2 and b = -1
m represents the slope so the slope is 2

4 0

3 years ago

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How do i write 7 37/40 as a decimal?

tensa zangetsu [6.8K]

Your answer would be
7.925

7 0

3 years ago

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What is the area of a parallelogram whose vertices are A(−12, 2) , B(6, 2) , C(−2, −3) , and D(−20, −3) ? Enter your answer in t

nikdorinn [45]

Let

$A(-12,2)\\B(6,2)\\C(-2,-3) \\D(-20.-3)\\E(-12.-3)$

using a graphing tool

see the attached figure to better understand the problem

we know that

Parallelogram is a quadrilateral with opposite sides parallel and equal in length

so

$AB=CD \\AD=BC$

The area of a parallelogram is equal to

$A=B*h$

where

B is the base

h is the height

the base B is equal to the distance AB

the height h is equal to the distance AE

Step 1

Find the distance AB

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

$A(-12,2)\\B(6,2)$

substitute the values

$d=\sqrt{(2-2)^{2}+(6+12)^{2}}$

$d=\sqrt{(0)^{2}+(18)^{2}}$

$dAB=18\ units$

Step 2

Find the distance AE

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

$A(-12,2)\\E(-12.-3)$

substitute the values

$d=\sqrt{(-3-2)^{2}+(-12+12)^{2}}$

$d=\sqrt{(-5)^{2}+(0)^{2}}$

$dAE=5\ units$

Step 3

Find the area of the parallelogram

The area of a parallelogram is equal to

$A=B*h$

$A=AB*AE$

substitute the values

$A=18*5=90\ units^{2}$

therefore

the answer is

the area of the parallelogram is $90\ units^{2}$

5 0

3 years ago

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Use the net as an aid to compute the surface area of the triangular prism. A) 108 cm2 B) 120 cm2 C) 132 cm2 D) 170 cm2

nadya68 [22]

Step-by-step explanation:

Since there is no diagram of the triangular prism that we are required to calculate it's surface area. We can just fix random dimensions in order to enable us understand what we are required to do.

Meanwhile, a triangular prism is a solid shape that possesses two parallel triangles or triangular faces and about three rectangles or rectangular faces.

Example 1:

Calculate the surface area of a triangular prism with side 8cm, base 6cm and height 7cm.

Formula for calculating the surface area of a triangular prism is;

ab + 3bh

Where a = side of the prism

b = base of one of the triangular faces

h = height not the triangular face/prism.

Here a = 8cm

b = 6cm

c = 7cm

Substituting properly;

(8 × 6) + 3(6 × 7)

= 48 + 126

= 174cm^2. The surface area of the triangular prism is 174cm^2.

Example 2.

A triangular prism with side 9cm, height 4cm and base 5cm will be wrapped with a sheet of wrapping foil. Calculate the surface area of this rectangular prism.

The formula for calculating the surface area of a triangular prism = ab + 3bh

Where a = side

b = base

h = height of prism

In this case, a = 9cm

b = 5cm

h = 4cm

Substituting appropriately, we will have:

(9 × 5) + 3(5 × 4)

45 + 60

= 105cm^2

So, the surface area of this triangular prism is 105cm^2

8 0

3 years ago

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