The points (0,3) and ( – 2,j) fall on a line with a slope of – 3.

Answers

Answer 1

Answer:

As per the concept of Slope intercept form, the value of j with the line of slope -3 is 9.

Slope intercept form:

Slope intercept form is used to find the general equation of a straight line using its slope and the point where it intersects the y-axis

The standard form of the slope intercept form is

y = mx + b

y represents the y coordinate

m represents the slope

x represents the x coordinate

b represents the y intercept

Given,

Here we have the points (0, 3) and (-2, j) and the slope of the line is -3.

Here we need to find the value of j.

As per the concept of slope intercept form,

First we have to take the point (0,3) and the slope -3, in order to find the intercept of the equation then we get,

3 = -3(0) + b

3 = 0 + b

b = 3.

Now, we know the value of b so the standard form of the equation is written as,

y = -3x + 3

Now, we have to use the point (-2, j) on the equation, to find the value of j,

j = -3(-2) + 3

j = 6 + 3

j = 9

Therefore, the value of j is 9.

To know more about Slope intercept form here.

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What is the length of a diagonal of a rectangle that is 30 centimeters long and 16 cm. wide?

Answers

length squared + width squared = Diagonal squared
Length squared = 900cm
Width squared = 256cm
total = 1156
Therefore Diagonal squared = 1156
Diagonal = 34cm

The area of a rectangular room is 750 square feet. The width of the room is 5 feet less than the length of the room.

Answers

Answer: Length of room = 30 feet

Width of room = 30-5 = 25 feet

Step-by-step explanation:

Let the length of room be l

Let the breadth of room be l-5

Area of rectangular room = 750 sq. feet

As we know the formula for "Area of rectangle ":

$Area=Length* breadth\n\n750=l(l-5)\n\n750=l^2-5l\n\nl^2-5l-750=0\n\n\text{By split the middle term}\n\nl^2-30l+25l-750=0\n\nl(l-30)+25(l-30)=0\n\n(l-30)(l+25)=0\n\nl=30,-25\n\n\text{Negative get discarded}\n\nLength=30\ feet$

So, Length of room = 30 feet

Width of room = 30-5= 25 feet

The area is length times width. Therefore, your length is 30 and the width is 25. The width (25) is 5 less than the length (30). 30 times 25 is 750.

What's bigger 25,000
years or 0.1 million years

Answers

0.1 million years is equal to 100,000 years.
25,000 is smaller than 100,000 years.

0.1 million years its bigger then 25,000 years

BRAINLIEST!!!liam and lanna have purchased and loder home in need of repairs ,they have budgeted $3500 for repairs.after spending $1000 for furnace repairs they ne to replace 5 windows .what is the maximum they can spend on each of the five windows?

Answers

I believe the answer is $17500

( x − 3 )^2 as trinomial in standard form

Answers

Given (x - 3)^2, its trinomial in standard form, y = ax^2 + bx + c:

You must expand the binomial through FOIL method:

(x - 3)^2
x ^2 - 3x - 3x + 9

Combine like terms:

y = x^2 - 6x + 9
where a = 1, b = -6, and c = 9.

Please mark my answer as the Brainliest, if you find this solution helpful :)

Answer:

x^2 - 6x + 9

Step-by-step explanation:

Choose a scenario that could be represented by 2/5

Answers

Answer:

Step-by-step explanation:

you could spilt a pie into 5 pieces and give someone 2. then you gave them 2/5 of a pie.

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