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4 years ago

What is the definition of arithmetic sequences?

Mathematics

2 answers:

Elodia [21]4 years ago

3 0

Answer:

a sequence of numbers such that the difference between the consecutive terms is constant.

Step-by-step explanation:

adelina 88 [10]4 years ago

3 0

Answer:

A sequence made by adding the same value each time.

hope this helps

Step-by-step explanation:

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The legs of a right triangle are 5 units and 15 units. What is the length of the hypotenuse

weeeeeb [17]

To find the length of a hypotenuse, we use the Pythagoras Theorem.
$a^2 + b^2 = c^2$
Where we know the side lengths (A , B)
$5^2 + 15^2 = c^2$
And c is the hypotenuse length :)

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4 years ago

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I need to turn 16/3 into a proper fraction

Andrej [43]

You divide 16 by 3 16/3=5
3x5=15
16-15=1
so there is 1 left over and it goes in 5 times
5 1/3

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3 years ago

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Without graphing, find the slope of the line that goes through

Lostsunrise [7]

Use the linear equation “slope of a line” to find the slopes of the given points. m= y2-y1/x2-x1

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3 years ago

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It’s confusing, would the answer be square root 7 over 4?

Colt1911 [192]

Answer:

$\tan U = 1$

Step-by-step explanation:

$\text{Apply Pythagorean theorem,}\\\\~~~~~~\text{Hypotenuse}^2 = \text{Base}^2 + \text{Perpendicular}^2\\\\\implies UT^2 = UV^2 +VT^2\\\\\implies UV^2 = UT^2 -VT^2\\\\\implies UV^2 = \left(7\sqrt 2 \right)^2 - 7^2\\\\\implies UV^2 = 49(2)-49\\\\\implies UV^2 = 49\\\\\implies UV = \sqrt{49} \\\\ \implies UV = 7$

$\text{Now,}\\\\~~~~~~~~\tan \theta = \dfrac{\text{Perpendicular}}{\text{Base}}\\\\\\\implies \tan U = \dfrac{7}{7}\\\\\\\implies \tan U = 1$

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3 years ago

What is the value of y in the solution to this system of equations?

torisob [31]

Answer:

x= 20,y= −36

Step-by-step explanation:

3x+2y=−12

2x+y=4

Subtract 2x

from both sides of the equation.

y=4−2x

3x+2y=−12

Replace all occurrences of y

with 4−2x

in each equation.

Tap for more steps...

−x+8=−12

y=4−2x

Solve for x

in −x+8=−12

Tap for more steps...

x=20

y=4−2x

Replace all occurrences of x

with 20

in each equation.

Tap for more steps...

y=−36

x=20

The solution to the system is the complete set of ordered pairs that are valid solutions.

(20,−36)

The result can be shown in multiple forms.

Point Form:

(20,−36)

Equation Form:

x=20,y=−36

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2 years ago

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