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Nikolay [14]
3 years ago
12

Write the standard form of the line that contains a slope of 2/3 and passes through the point (1, 1). Include your work in your

final answer. Type your answer in the box provided or use the upload option to submit your solution. Please explain how you got the answer.
Mathematics
1 answer:
Aneli [31]3 years ago
5 0
In this item, we are given with the slope, m = 2/3 and intercept of (1,1). The equation of the line that contains these properties is,

    y - y₁ = m(x - x₁)

Substituting the known values,

   y - 1 = (2/3)(x - 1)

Simplifying,

    3y - 3 = 2x - 2

Further simplifying,

<em>  2x - 3y = -1</em>
You might be interested in
{RO5-1} Simplify:<br> 2. 73
Volgvan

Answer:

2 11/15

Step-by-step explanation:

Let X equal the decimal number

Equation 1:

X=2.73¯¯¯(1)

With 1 digits in the repeating decimal group,

create a second equation by multiplying

both sides by 101 = 10

Equation 2:

10X=27.33¯¯¯(2)

Subtract equation (1) from equation (2)

10XX9X===27.33...2.73...24.6

We get

9X=24.6

Solve for X

X=24.69

Multiply to eliminate 1 decimal places.

Here you multiply top and bottom by 1 10's

= 101 = 10

24.69×1010=24690

Find the Greatest Common Factor (GCF) of 246 and 90, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 6,

246÷690÷6=4115

Simplify the improper fraction,

=21115

In conclusion,

2.73¯¯¯=2 11/15

5 0
3 years ago
15 feet of edging costs $24.98. How much will 28 yards cost?
GuDViN [60]

Answer:

  139.888 $

Step-by-step explanation:

Data :

   15 ft = 24.98$

   So

  1 yard = 3 ft

15ft / 3 ft = 5 yard

So  

   5 yard  = 24.98$

28 yd / 5yd = 5.6

    5.6 × 24.98 =  139.888

6 0
2 years ago
The first term of a geometric sequence is equal to a and the common ratio of the sequence is r.
ololo11 [35]

Answer: (a)  {a, ar, ar², ar³, ar⁴, ar⁵...}, (b)  arⁿ⁻¹

For part (a), the question gives us the first term a, and then asks us to apply the common ratio r six times.

In order for ar = a, the nth term of r will have to equal 0 (this implies that n is an exponent; thus giving us the first term a, as r = 1).

Since we use this method on the first term, we must use it for the next five, in which r gains an additional exponent for every consecutive value (nth term) thereafter.  

Ultimately getting: {a, ar, ar², ar³, ar⁴, ar⁵...}

For part (b), we first have to understand that the sequence does not start at 0, but at 1 for n. In order for ar = a, with n = 1, there needs to be subtraction of -1 within the exponent. So that arⁿ⁻¹

If we check and apply this, we can see that:

{ar¹⁻¹, ar²⁻¹, ar³⁻¹, ar⁴⁻¹, ar⁵⁻¹, ar⁶⁻¹...} = {a, ar, ar², ar³, ar⁴, ar⁵...} = arⁿ⁻¹ = Tn

4 0
3 years ago
3) Round answer to the nearest hundredth. *
DochEvi [55]

Answer:

80 mm

Step-by-step explanation:

Pythagorean theorm can be applied here to solve for the length of the last leg, a^{2} + b^{2} = c^{2}, where (a) and (b) are the legs of the triangle and (c) is the hypotenuse. We can rearrange the pythagorean theorm for our purposes like the following:

b = √c^2 - √a^2

  = √(82)^2 - √(18)^2

  = √6724 - √324

  = √6400

  = 80 mm

5 0
2 years ago
X-Y=5, 6X-6Y =?
denis-greek [22]

Answer:

<u>Yes, it is 30</u>

Step-by-step explanation:

And yes, you thought it through correctly.  6(X-Y) = 6*5

6(X-Y) = <u>30</u>

3 0
2 years ago
Read 2 more answers
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