Point W is on line segment VX. given VW=3 and VX=14, determine the length WX

which of the following gives an equation of a line that passes through the point (6 over 5, -19 over 5) and is parallel to the l

victus00 [196]

One equation for this would be

$y = \frac{41}{16} x-\frac{55}{8}$

We start by finding the slope between the two points:

$m=\frac{y_2-y_1}{x_2-x_1}=\frac{-12-\frac{-19}{5}}{-2-\frac{6}{5}}
\\
\\=(-12+\frac{19}{5}) \div (-2-\frac{6}{5})
\\
\\=(\frac{-60}{5}+\frac{19}{5}) \div (\frac{-10}{5}-\frac{6}{5})
\\
\\=\frac{-41}{5} \div \frac{-16}{5}=\frac{-41}{5} \times \frac{-5}{16}=\frac{41}{16}$

A line parallel to this one will have the same slope. We will use point-slope form to write our equation:

$y-y_1=m(x-x_1)
\\
\\y-\frac{-19}{5}=\frac{41}{16}(x-\frac{6}{5})
\\
\\y+\frac{19}{5}=\frac{41}{16}x- \frac{41}{16} \times \frac{6}{5}
\\
\\y+\frac{19}{5}=\frac{41}{16}x-\frac{246}{80}
\\
\\y+\frac{304}{80}=\frac{41}{16}x-\frac{246}{80}
\\
\\y=\frac{41}{16}x-\frac{246}{80}-\frac{304}{80}
\\
\\y=\frac{41}{16}x-\frac{550}{80}
\\
\\y=\frac{41}{16}x-\frac{55}{8}$

6 0

3 years ago

Examine the following diagram:

Lisa [10]

Answer:

Its C: 41°

Step-by-step explanation:

it was right on edg :)

6 0

3 years ago

Read 2 more answers

Write an expression using exponents that is equivalent to 100,000

MrMuchimi

10^5 is equivalent to 100,000. I hope this answers your question and I hope you have a great day ! :)

6 0

3 years ago

Find the volume of a cone with a height of 3.25 centimeters and a diameter of 2.2 centimeters.

saveliy_v [14]

Answer:

As per Provided Information

Height of cone h is 3.25 cm

Diameter of cone is 2.2 cm

Radius = Diameter/2

Radius = 2.2/2

Radius = 1.1 cm

We have been asked to determine the volume of the cone .

Using Formulae 

$\boxed{\bf \:Volume_{(Cone)} = \cfrac{1}{3} \pi {r}^{2}h}$

Substituting the given value and let's solve it

$\sf\longrightarrow \: Volume_{(Cone)} = \cfrac{1}{3} \times 3.14 \times {1.1}^{2} \times 3.25 \\ \\ \\ \sf\longrightarrow \: Volume_{(Cone)} = \cfrac{1}{3} \times 3.14 \times 1.21 \times 3.25 \\ \\ \\ \sf\longrightarrow \: Volume_{(Cone)} = \cfrac{1}{3} \times 3.14 \times 3.9325 \\ \\ \\ \sf\longrightarrow \: Volume_{(Cone)} = \cfrac{1}{3} \times 12.34805 \\ \\ \\ \sf\longrightarrow \: Volume_{(Cone)} = \cfrac{12.34805}{3} \\ \\ \\ \sf\longrightarrow \: Volume_{(Cone)} = 4.11 {cm}^{3}$

Therefore,

Volume of the cone is 4.11 cm³ .

3 0

2 years ago

How do you solve multiplying binomials with example: (x+4)^2

salantis [7]

This can be written as (x+4)(x+4)

Multiply everything in the second parenthesis by the x.

x^2 + 4x

Multiply everything in the second parenthesis by 4.

4x + 16

Add these two equations together.

x^2 + 4x + 4x + 16

Combine like terms.

x^2 + 8x + 16

Hope this helps!

8 0

3 years ago

Point W is on line segment VX. given VW=3 and VX=14, determine the length WX​

Point W is on line segment VX. given VW=3 and VX=14, determine the length WX