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Softa [21]
3 years ago
5

Complete the point-slope equation of the line through (2,3)(7,4). Use exact numbers. y-4=

Mathematics
2 answers:
Ira Lisetskai [31]3 years ago
8 0

Answer:

y-4=1/5(x-3)

Step-by-step explanation:

We plug in the x's and the y's and find the slope with:

(y-y_{1} )/ x-x_{1})=m

trapecia [35]3 years ago
3 0

Answer:

The answer is

<h2>y - 4  =  \frac{1}{5} (x - 7)</h2>

Step-by-step explanation:

To find the equation of a line given two points first find the slope and use the formula

<h3>y -   y_{1} = m(x -   x_{1})</h3>

Where m is the slope

To find the slope we use the formula

<h3>m =  \frac{y2 - y1}{x2 - x1}</h3>

The slope of the line using points

(2,3)(7,4) is

<h3>m =  \frac{4 - 3}{7 - 2}  =  \frac{1}{5}</h3>

Equation of the line using point (7,4) and slope 1/5 is

<h3>y - 4  =  \frac{1}{5} (x - 7)</h3>

Hope this helps you

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The numbers of teams remaining in each round of a single-elimination tennis tournament represent a geometric sequence where an i
Anit [1.1K]

Answer:

a_n = 128\bigg(\dfrac{1}{2}\bigg)^{n-1}

Step-by-step explanation:

We are given the following in the question:

The numbers of teams remaining in each round follows a geometric sequence.

Let a be the first the of the geometric sequence and r be the common ration.

The n^{th} term of geometric sequence is given by:

a_n = ar^{n-1}

a_4 = 16 = ar^3\\a_6 = 4 = ar^5

Dividing the two equations, we get,

\dfrac{16}{4} = \dfrac{ar^3}{ar^5}\\\\4}=\dfrac{1}{r^2}\\\\\Rightarrow r^2 = \dfrac{1}{4}\\\Rightarrow r = \dfrac{1}{2}

the first term can be calculated as:

16=a(\dfrac{1}{2})^3\\\\a = 16\times 6\\a = 128

Thus, the required geometric sequence is

a_n = 128\bigg(\dfrac{1}{2}\bigg)^{n-1}

4 0
3 years ago
19 POINTS AND ILL GIVE BRAINLIEST!!
Archy [21]

Answer:

3.104 (option c)

Step-by-step explanation:

3 + 0.1 + 0.004 = 3.104

6 0
3 years ago
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mash [69]
(2,4) is the only possible answer because it is the only one in the shaded area
5 0
4 years ago
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The area of a semi circle is 20
alisha [4.7K]

Answer:

A = 157 in^2

Step-by-step explanation:

First, we need to get the radius, we can do this by dividing our given diameter by 2.

20/2 = 10

Now, we have our radius of 10 inches.

Formula for Area of a Semi Circle: (1/2)(pi(r^2)

Input values.

(1/2)(3.14(10^2)

Solve.

(1/2)(3.14(100)

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ABC=DBC

(This will probably be a way more complex explanation than you need but it’s what I did.)

Okay so you know B=B because they’re both right angles. You know A=D because of the isosceles triangle theorem- if two sides of a triangle are congruent, then the angles opposite those sides are congruent. That leaves C=C. If B=B and A=D and all triangles add up to 180 degrees, C and C need to be the same.
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