Use the graph to find the solution to this system of linear equations. y = 58x + 18 and y = -12x

Can I get some help please?

mamaluj [8]

Answer:

1) 68

/ \

4 17

/\

2 2

68=2*2*17

2) 104

/ \

4 26

/\ /\

2 2 2 13

104=2*2*2*13

3) 78

/\

2 39

/\

3 13

78=2*3*13

4) 225

/\

9 25

/\ /\

3 3 5 5

225=3*3*5*5

Second Part:

1) 45

/\

3 15

/\

3 5

45=3*3*5

2) 70

/\

2 35

/\

5 7

70=2*5*7

3) 54

/\

9 6

/\ /\

3 3 2 3

54=3*3*2*3

4) 126

/\

3 42

/\

3 14

/\

7 2

126=3*3*7*2

3 0

2 years ago

4x + 5y = 10

Vika [28.1K]

Answer:

For A = 32/5 and B = 8 the system of equations will have infinitely many solutions.

Step-by-step explanation:

Given equations are:

4x + 5y = 10

Ax + By = 16

The general form of linear equation in two variables is given by:

$ax+by = c$

Here a, b and c are constants and x,y are variables.

In the given equations, after comparing with the general form

$a_1 = 4\\b_1 = 5 \\c_1 = 10\\a_2 = A\\b_2 =B\\c_2 = 16$

"In order for a system of equations to have infinity many solutions,

$\frac{a_1}{a_2} = \frac{b_1}{b_2} = \frac{c_1}{c_2}$ "

Putting the values we get

$\frac{4}{A} = \frac{5}{B} = \frac{10}{16}\\\frac{4}{A} = \frac{5}{B} = \frac{5}{8}\\Now\\\frac{4}{A} = \frac{5}{8}\\\frac{A}{4} = \frac{8}{5}\\A = \frac{8}{5} * 4\\A = \frac{32}{5}\\And\\\frac{5}{B} = \frac{5}{8}\\\frac{B}{5} = \frac{8}{5}\\B = 8$

Hence,

For A = 32/5 and B = 8 the system of equations will have infinitely many solutions.

5 0

2 years ago

What is the constant proportionality of 3 cans and 9 balls

Masja [62]

The constant proportionality is whats left over

3 0

3 years ago

A company that manufactures storage bins for grains made a drawing of a silo. The silo has a conical base, as shown below: The f

Romashka-Z-Leto [24]

The following that could be used to calculate the total volume of grains that can be stored in the silo is π(2 ft)²8 ft + 1/3π(2 ft)²(9.5 ft - 8ft)

To answer the question, we need to know what volume is.

<h3>What is volume?</h3>

This is the capacity of a material or container.

Since the silo is made of a cylindrical and a conical part, we need to find the volume of both parts.

<h3>Volume of cylindrical part.</h3>

So, the volume of the cylindrical part V = πr²h where

r = radius of cylidrical part = 4 ft/2 = 2 ft and
h = length of cylindrical part = 8 ft.

So, V = πr²h

V = π(2 ft)²8 ft

<h3>Volume of the conical part</h3>

The volume of the conical part is given by V' = 1/3πr²h where

r = radius of cone = 2ft and
h = height of cone.

Since the entire length of silo is 9.5 ft and length of cylindrical part is 8 ft, then the height of cone is h' = 9.5 ft - 8 ft

So, V' = 1/3πr²h'

V' = 1/3π(2 ft)²(9.5 ft - 8ft)

<h3>Total volume of grains in silo</h3>

The total volume of grains equals the total volume of the silo V" = V + V'

V" = π(2 ft)²8 ft + 1/3π(2 ft)²(9.5 ft - 8ft)

So, the following that could be used to calculate the total volume of grains that can be stored in the silo is π(2 ft)²8 ft + 1/3π(2 ft)²(9.5 ft - 8ft)

Learn more about volume here:

brainly.com/question/25248189

#SPJ1

7 0

1 year ago

Question in the link below.

olga_2 [115]

The 5x and the combination of (40° + x) are "vertical angles".
Vertical angles are equal.
So
5x = 40° + x

Subtract 'x' from each side: 4x = 40°

Divide each side by 4 : x = ?

3 0

3 years ago

Read 2 more answers

Use the graph to find the solution to this system of linear equations. y = 58x + 18 and y = -12x – 1