What is the equation of a line passing through the origin with a slope of positive one?

Answers

Answer 1
Answer: We are going to use the equation of a line y = mx + b. In this equation, m is the slope and b is the y-intercept.

We know from the question that the slope is 1. Therefore, m = 1. So now, our line is y = 1x + b

Then, we can use a known point on the line to find b. We know that our line passes through the origin so point (0,0) is on the line.
0 = 1(0) + b
0 = 0 + b
b = 0

Therefore, the equation of the line is:
y = 1x + 0
or just y = x
Answer 2
Answer: y=x
The slope of this line is 1 (the numerical coefficient of x) and passes through the origin (if you put x=0 it gives you y=0).

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A TV at an electronics store originally costs $600, but it is on sale for 30% off. If a customer buying the TV has a coupon for $35.00 off of any purchase, what will her final price be on the TV
What number is one fourth of 360?
Which is the best estimate for the quotient of 3,004.914 ÷ 0.298? A. 100 B. 1,000 C. 10,000 D. 100,000
6 tractors take 6 days to collect the harvest. How long would it take 9 tractors to do the same amount of work?
8 9/25 as a percentage

The seventh-grade class is building target areas for a PE activity. The bases for the game will be circular in shape. The diameter of each circle is 5 feet. Approximately how many square feet of the turf need to be painted for a base circle? Use 3.14 for π and round your answer to the nearest tenth. A.15.7 square feet

B. 19.6 square feet

C. 42.8 square feet

D. 78.6 square feet

Answers

Area of a circle is πr^2.

From this, we can calculate
π*2.5^2
= π*6.25
= 19.625
= 19.6

Answer:

I did the test the answer is 19.6 square feet

Step-by-step explanation:

Becky wants to fence in a rectangular play area for her dog. If she was 82 feet of fencing and wants the length of the play area to be 9 feet longer than its width then what should the dimensions of the play area be?

Answers

ok
fencing=perimiter
perimiter=L+L+W+W=2L+2W=2(L+W)
82=2(L+W)
divid eboth sides by 2 for ease of use
41=L+W


if she wants legnth to be 9 more than width, then
L=9+W
subsitute 9+W for L
41=9+W+W
41=9+2W
subtract 9
32=2W
divide 2
16=W

subsitute
L=9+W
L=9+16
L=25



the pen should be 25 feet by 16 feet
length= width+9    ----- Now we can substitute length with width!
Perimeter = 2(length) + 2(width)
Perimeter = 82
82= 2(w+9) + 2w
41 = w+ 9 + w
41-9 = 2w
32 = 2w
16= w    (now plug w into the equation for length)
length = 16 + 9 = 25

SOO... Dimensions = 16 x 25

Order the fractions and decimal from least to greatest 0.85 3-5 0.15 7-10

Answers

7-10 3-5 0.85 0.15
If this helped smash that thanks button

A Coffee table was $129.99 and on sale for 20% off. The sales tax is 8.5%. How much do we save?

Answers

Answer:

Step-by-step explanation:

Discount = 20% of 129.99

=(20)/(100)*129.99\n\n=25.998

= $26

Price after discount = 129.99 - 26 = $103.99

Tax = 8.5% of 103.99

=(8.5)/(100)*103.99\n\n=8.83915

= $8.84

Selling price including tax = 103.99 + 8.84

                                           = $112.83

Amount saved = 129.99 - 112.83

                        =$ 17.16

Answer:

We save 16.18 dollars.

Step-by-step explanation:

First, I did calculations on how much money there would be with the discount.

129.99 times 0.2 equals 25.1 [So with the discount, I got 25.1 dollars off.]

129.99 - 25.1 = 104.89 [so with the discount, I just have to pay 104,89, now,]

Now, I did the calculations WITH the SALES TAX.

104.89 times 0.085 equals 8.92 [ so tax is actually 8.92 dollars.]

104.89 + 8.92= 113.81 [ SO, with TAX, the table costs 113.81.]

Now I see how much money I have saved.

104.89 - 113.81 = 16.18

If you still don't get how I got my answer, just ask more questions to me! =)

What is 9 3/4 as a percent

Answers

The mixfraction 9(3/4) as a percent is 975%.

We have,

To express 9 3/4 as a percent, we can follow these steps:

Step 1: Convert the mixednumber to an improperfraction.

Multiply the whole number (9) by the denominator (4) and add the numerator (3) to get the numerator of the improper fraction. The denominator remains the same.

9 3/4 = (9 * 4 + 3) / 4 = 39/4

Step 2: Convert the fraction to a decimal by dividing the numerator by the denominator.

39/4 = 9.75

Step 3: Convert the decimal to a percent by multiplying by 100.

9.75 * 100 = 975

Therefore,

9 3/4 as a percent is 975%.

Learn more about percentages here:

brainly.com/question/11403063

#SPJ6

975%
To find the answer to this problem and many more like it you first turn the mixed number into a fraction by multiplying the whole number (9) by the denominator (4),  the add the numerator (3) ,(9*4)+3=39, then put it over the denominator (4).
Next you have 39/4, so then you divide the numerator (39) by the denominator (4) and you should get 9.75. finally you multiply 9.75 by 100 then put a percent sign behind it to get your percent. 

Which is a simplified form of the expression -4(n + 1) – (n + 2)?A. 2n + 3
B. -3n – 2
C. -4n – 5
D. -5n – 6

Answers

Answer:

D) -5n-6

Step-by-step explanation:

-4(n+1)-(n+2)

-4n-4-n-2

-4n-n-4-2

-5n-4-2

-5n-6

Answer:

-(5 n + 6)

Step-by-step explanation:

Simplify the following:

-4 (n + 1) - (n + 2)

-4 (n + 1) = -4 n - 4:

-4 n - 4 - (n + 2)

-(n + 2) = -n - 2:

-4 - 4 n + -n - 2

Grouping like terms, -4 - 4 n - 2 - n = (-4 n - n) + (-4 - 2):

(-4 n - n) + (-4 - 2)

-4 n - n = -5 n:

-5 n + (-4 - 2)

-4 - 2 = -(4 + 2):

-5 n + -(4 + 2)

4 + 2 = 6:

-5 n - 6

Factor -1 out of -5 n - 6:

Answer: -(5 n + 6)