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Alchen [17]
2 years ago
14

Find intercepts of: 3x-3y+9=0 X-intercept as a ordered pair Y-intercept as a ordered pairr

Mathematics
1 answer:
ahrayia [7]2 years ago
7 0
3x - 3y + 9 = 0

The y-intercept is the point on the graph where it crosses the y-axis, and has coordinates of (0, b). It is also the value of y when x = 0.

To solve for the y-intercept, set x = 0:

3(0) - 3y + 9 = 0
3(0) - 3y + 9 = 0

Subtract 9 from both sides:
- 3y + 9 - 9 = 0 - 9
- 3y = -9
Divide both sides by -3 to solve for y:

-3y/-3 = -9/-3
y = 3

Therefore, the y-intercept is (0, 3).

The x-intercept is the point on the graph where it crosses the x-axis, and has coordinates of (a, 0). It is also the value of x when y = 0.

To solve for the x-intercept, set y = 0:

3x - 3(0)+ 9 = 0
3x -0 + 9 = 0

Subtract 9 from both sides:
3x + 9 - 9 = 0 - 9
3x = -9

Divide both sides by 3 to solve for x:

3x/3 = -9/3
x = -3

Therefore, the x-intercept is (-3,0).

The correct answers are:
Y-intercept = (0, 3)
X-intercept = (-3, 0)
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If the length of a rectangle is 120 m and the diagonal measures 130 m what is the perimeter and area of the rectangle
Leviafan [203]

Answer:

Step-by-step explanation:

width=√(130²-120²)=√[10²(13²-12²)]=10√(13+12)(13-12)=10√(1×25)=10×5=50 m

perimeter=2(120+50)=2×170=340 m

area=120×50=6000 m²

5 0
2 years ago
The expression 87000(1.12)^t represents the population of a town t hears after 1996. By what percent does the population increas
Tamiku [17]

Answer:

12%

Step-by-step explanation:

Percentage increase of something is often represented in a formula of a format like this:

X=Ar^t

Where X represents the total amount after t years.

A or 87000 in this case represents the starting value, which is this case is the starting population of the town. r or 1.12 represents the percentage increase, if it increases by 12% than the next year has 1.12 times as many people as the previous year so this is represented by 1.12 rather than say 0.12 which would indicate a 88% decrease instead.  t is the time, no. of years in this case, that has elapsed since 1996.

This formula basically means that a town population of 87000 increases by 12% for every year of time that elapses.

Hope this helped!

7 0
3 years ago
Read 2 more answers
A rectangular prism has a base that is 6 meters by 3.5 meters, and the prism is 9 meters high. What is the surface area of the p
galben [10]

Answer:

213 m^2

Step-by-step explanation:

The surface area for a rectangle prism is given by

A=2(wl+hl+hw)

We know the base is 6 meters by 3.5 m  so l = 6 and width =3.5

The heigth is 9 m

A = 2 ( 6*3.5 + 9* 6 + 9* 3.5)

   = 2 * (21 +54 +31.5)

    = 2*(106.5)

    =213 m^2

3 0
3 years ago
The atomic weight of an unknown element,in atomic mass units (amu),is approximately 20% less than that of calcium. The atomic we
Mnenie [13.5K]
Amu of unknown element = 40 - (20% * 40)
= 40 - 8
= 38 amu

therefore, the approximate weight of the unknown element is 38 amu.

hope this helps.
4 0
3 years ago
Read 2 more answers
El sueldo de un padre de familia es de $4,500. ¿Cuánto es su sueldo si le aumentan un 4%?
lesya [120]

Answer:

el nuevo salario es 4680

Step-by-step explanation:

Dado

Salario = 4.500

Incremento = 4%

Necesario

Determinar el nuevo salario

El nuevo salario se calcula utilizando lo siguiente:

Nuevo salario = salario anterior + 4% * salario anterior

Nuevo salario = 4500 + 4% * 4500

Nuevo salario = 4500 + 180

Nuevo salario = 4680

Por lo tanto, el nuevo salario es 4680

6 0
2 years ago
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