i'm not sure how to solve the first one but the second is 150
Answer:
(a) -7 , - 9 , - 11
(b) Arithmetic sequence
(c) There is a common difference of -2
(d) -53
Step-by-step explanation:
(a) To find the next three terms , we must firs check if it is arithmetic sequence or a geometric sequence . For it to be an arithmetic sequence , there must be a common difference :
check :
-3 - (-1) = -5 - (-3) = -7 - (-5) = -2
This means that there is a common difference of -2 , which means it is an arithmetic sequence.
The next 3 terms we are to find are: 5th term , 6th term and 7th term.
= a + 4d
= - 1 + 4 ( -2 )
= -1 - 8
= - 9
6th term = a +5d
= -1 + 5(-2)
= -1 - 10
= - 11
= a + 6d
= -1 + 6 (-2)
= -1 - 12
= -13
Therefore : the next 3 terms are : -9 , -11 , - 13
(b) it is an arithmetic sequence because there is a common difference which is -2
(c) Because of the existence of common difference
(d)
= a + 26d
= -1 + 26 ( -2 )
= -1 - 52
= - 53
Width of the rectangle is 13 ft and length of the rectangle is 33 ft
<u>Step-by-step explanation:</u>
Step 1:
Given perimeter of the rectangle = 92 ft. Let the width be x, then the length of the rectangle = 2x + 7. Use the formula for perimeter of a rectangle = 2(length + width) to find the dimensions.
92 = 2(2x + 7 + x) = 2(3x + 7) = 6x + 14
⇒ 92 = 6x + 14
⇒ 78 = 6x
⇒ x = 78/6
∴ x = 13 ft
⇒ Width of the rectangle = 13 ft
∴ Length of the rectangle = 2x + 7 = 26 + 7 = 33 ft
The TV is 45 inches tall.
Step-by-step explanation:
The diagonal length of television = 53 inches
Width of TV = 28 inches
As TV is in rectangular or square shape, a diagonal will form a right triangle
Where,
Diagonal = hypotenuse = c = 53 inches
Width = base = b = 28 inches
Length = perpendicular = a
we will use pythagorean theorem to find the length.

Taking square root on both sides

The TV is 45 inches tall.
Keywords: triangle, square root
Learn more about square root at:
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the thing is I can't see it prop ley:(