What's the volume of the prism?<br> How many cubic units

−5y+8x=−18<br> 5y+2x=58 <br> Solve the system of equations.<br>

kvasek [131]

Answer:

1: −5y+8x=−18

Slope = 3.200/2.000 = 1.600

x-intercept = -18/8 = -9/4 = -2.25000

y-intercept = 18/5 = 3.60000

2: Slope = -0.800/2.000 = -0.400

x-intercept = 58/2 = 29

y-intercept = 58/5 = 11.60000

Step-by-step explanation:

1: Step 1 :

Equation of a Straight Line

1.1 Solve -5y+8x+18 = 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 -5y+8x+18 = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 18/5 so this line "cuts" the y axis at y= 3.60000

y-intercept = 18/5 = 3.60000

Calculate the X-Intercept :

When y = 0 the value of x is -9/4 Our line therefore "cuts" the x axis at x=-2.25000

x-intercept = -18/8 = -9/4 = -2.25000

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 3.600 and for x=2.000, the value of y is 6.800. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 6.800 - 3.600 = 3.200 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

2: Same thing

8 0

3 years ago

Tyrone wants to remodel his bathroom floor using 168 tiles. If one tile costs $7.51, estimate the total cost for the tile projec

Ludmilka [50]

Answer: $1,261.68
Multiply the cost for one tile ($7.51) by the number of tiles being used (168)

6 0

3 years ago

The Mayors of two small towns that adjoin a large community have engaged in an argument on which of their cities is safer, with

Lelu [443]

Answer:

1. City A: 150 violent crimes per 100,000 residents.

City B: 161 violent crimes per 100,000 residents.

2. City A

Step-by-step explanation:

City A:

Population = 123,000

Violent crimes = 185

Violent crimes per 100,000 people:

$V_{100k} = \frac{185*100,000}{123,000} \\V_{100k} = 150$

City B:

Population = 84,000

Violent crimes = 135

Violent crimes per 100,000 people:

$V_{100k} = \frac{135*100,000}{84,000} \\V_{100k} = 161$

1. City A: 150 violent crimes per 100,000 residents.

City B: 161 violent crimes per 100,000 residents.

2. Even though it has a bigger number of crimes, City A has the lowest crime rate since its population is larger.

5 0

3 years ago

The function fx) is graphed below.

Shtirlitz [24]

Answer:

D. 2

Step-by-step explanation:

following the graph you can see that -2 on the x line comes across to 2 in y line

3 0

3 years ago

The graph of f(x) shown below has the same shape as the graph of g (x) = x^2 but it is shifted to the left 2 units. what is the

mariarad [96]

Answer:

C. F(x) = (x+2)²

Step-by-step explanation:

A horizontal shift to the right by "h" units is achieved by replacing x with (x-h). The shift we want is to the left by 2 units, so h = -2, and we have ...

f(x) = g(x -(-2)) = g(x+2)

f(x) = (x+2)²

8 0

3 years ago

What's the volume of the prism? How many cubic units