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Dmitry [639]
3 years ago
5

What do the graphs of all arithmetic sequences have in common

Mathematics
1 answer:
jasenka [17]3 years ago
3 0
Think of how arithmetic sequences act. They start at a given number, and then they march up or down by the same distance each time. For example:

3, 7, 11, 15, 19, ...

this one marches up by 4 each time.

If this is plotted on a graph, the first point is (1,3), then (2,7), then (3,11), then (4,15) and so on. You'll notice that the slope is the same between all the points. In other words, you get a straight line! This is true for any arithmetic sequence.
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The sum of two complementary angles is 90° Angle A is represented by 3x - 10, and Angle B is represented by x. Solve for x Hint:
Nataly [62]

Angle A = 3x - 10

Angle B = x

Their angle sum = 90° ( complementary angles form 90° )

This can be written in an equation as =

= 3x - 10 + x = 90

= 3x + × + ( -10 ) = 90

= 4x + (-10) = 90

= 4x = 90 + 10 ( transposing-10 from LHS to RHS changes-10 to +10 )

= 4x = 100

= x = 100 ÷ 4 ( transposing ×4 from LHS to RHS changes ×4 to ÷4 )

= x = 25

Angle A = 3x - 10

= 3 × 25 - 10

= 75 - 10

= Angle A = 65°

Angle B = x = 25°

Their sum = 65 + 25 = 90°

Therefore , the complementary angles , Angle A = 65° and Angle B = 25° .

6 0
3 years ago
At the Barclays Center there are 850 seats. Tickets were sold for 816 of the seats. For what percentage of the seats were ticket
snow_tiger [21]
Percent sold=sold/original times 100
sold=816
original=850

percent sold=816/850 times 100
percent sold=0.96 times 100
percent sold=96%
4 0
3 years ago
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What is the answer for 14a³ - 22a we have to Factorise it​
sveta [45]

Answer: 2a (7a² - 11).

5 0
2 years ago
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One of the parking lot lights at a hospital has a motion detector on it, and the equation (x+10)2+(y−8)2=16 describes the bounda
Pani-rosa [81]
We are given an equation:
(x+10)^{2} +  (y-8)^{2} = 16

This is an equation of a circle. General form of a circle equation is:
(x-a)^{2} + (y-b)^{2} = r^{2}
Where:
a = x coordinate of a center
b = y coordinate of a center
r = radius of a circle

Motion detector can detect person anywhere within a boundary. The greatest distance at which detector can detect is at the edge of a circle. That distance, between detector and edge of circle, is equal to radius.

From the equation we have:
r^{2} =16  \\ r=4
The greatest distance at which person can be detected is 4ft.
7 0
3 years ago
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PLS HELP WILL GIVE BRANLIEST
BartSMP [9]
The answer is A if I am correct
3 0
2 years ago
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