What is 0.84 as a fraction in simplest form

Find the equation of the line that is parallel to x=6y-5 and that passes through (5,-3). express answer in standard form

Anestetic [448]

Answer:

Final answer is $x-6y=23$

Step-by-step explanation:

We need to find the equation of the line that is parallel to x=6y-5 and that passes through (5,-3).

So first we need to find the slope of given line.

rewirite x=6y-5 in y=mx+b form

x+5=6y

$\frac{1}{6}x+\frac{5}{6}=y$

Compare given equation with y=mx+b

we get: m=1/6

We know that parallel equations has equal slope.

Then slope of required line m=1/6

Now plug the given point (5,-3) and slope m=1/6 into point slope formula:

$y-y_1=m\left(x-x_1\right)$

$y-(-3)=\frac{1}{6}\left(x-5\right)$

$y+3=\frac{1}{6}x-\frac{5}{6}$

$y=\frac{1}{6}x-\frac{5}{6}-3$

$y=\frac{1}{6}x-\frac{23}{6}$

Now we need to rewrite that equation in standard form. Ax+By=C.

6y=x-23

x-23=6y

x-6y=23

Hence final answer is $x-6y=23$

6 0

3 years ago

Consider the function f(x)= x² - 4

Arisa [49]

Answer:

(X+2) (X-2) . This is the final answer

Step-by-step explanation:

Solving f(x) = x^2 - 4

A^2 - B^2 is a special case where the original equation before it was foiled is

(A + B) (A - B) because the middle terms will cancel out when foiled.

This means that the equation can be written as

(X + 2)(X - 2) = 0

Each of these you will then set equal to 0 and then solve

X + 2 = 0, X - 2 = 0

X = -2, 2

I hope this helps you! let me now if its right ok <3 :)

4 0

2 years ago

Cube-shaped blocks are packed into a cube-shaped storage container. The edge of the storage container is 2 1/2 feet. The edge le

GarryVolchara [31]

Answer:

Volume of one cube shaped block is, 0.125 cubic feet

Step-by-step explanation:

Volume of a cube(V) is given by:

$V = a^3$ .....[1]

where a is the edge length of the cube.

As per the statement:

Cube-shaped blocks are packed into a cube-shaped storage container. The edge of the storage container is 2 1/2 feet.

⇒ $\text{Edge length of storage} = 2\frac{1}{2} = 2.5 ft$

It is also given that:

The edge length of each block is 1/5 the edge length of the storage container

⇒ $\text{Edge length of each block (a)} = \frac{1}{5} \cdot 2.5 = 0.5 ft$

Substitute this in [1] we have;

$V = (0.5)^3 = 0.125 ft^3$

Therefore, volume, in cubic feet, of one cube-shaped block is, 0.125

4 0

2 years ago

Find the geometric mean.<br> Please

slava [35]

Answer:

number one 2.7052932226

number two 2.0870584201

Step-by-step explanation:

multiply the 'n' values altogether and take out the nth root of the numbers, where n is the total number of values. For example: for a given set of two numbers such as 8 and 1, the geometric mean is equal to √(8×1) = √8 = 2√2.

3 0

1 year ago

The base area of an oblique pentagonal prism is 15 sq. in. The prism measures 3 inches in height and the edges connecting the ba

Fantom [35]

Answer:

Option A & D are correct Option.

Step-by-step explanation:

We are given with following :

Area of Base = 15 in.²

Height of Prism = 3 in.

Length of edge of base = 5 in.

Volume of Prism = Area of Base × Height = 15 × 3 = 45 in.³

Therefore, Option A & D are correct Option.

3 0

2 years ago