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2 years ago

25 Points!! The graph represents the first three terms in an arithmetic sequence.

Mathematics

2 answers:

atroni [7]2 years ago

7 0

Answer:

I solved the sum and added it in the attachment!

Drupady [299]2 years ago

4 0

Answer:

Step-by-step explanation:

$y-1=\frac{4-1}{2-1}(x-1)\\y-1=3(x-1)\\y=3x-3+1\\y=3x-2$

an=an-1+3

when x=15

y=3×15-2=45-2=43

a15=43

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Mrrafil [7]

We are asked to express the diagonal of a rectangle in terms of the width in which the area of the polygon is equal to 13 square feet. The area of teh rectangle is equal to length times width. That is 13 = lw; diagonal using pythagorean theorem is sqrt ( l2 + w2). Thus d = sqrt ( (13/w)2 + w2) = sqrt ( (169/w2 + w2) = sqrt ( (169 + w4)/w2) = 1/w sqrt (169 + w4)

3 0

3 years ago

Read 2 more answers

Write the equation in point slope intercept form of the line that passes through (6,-11) and is parallel to the graph of y=-2/3x

Alina [70]

Answer:

y+11=-2/3(x-6)

Step-by-step explanation:

To find the parallel line, we would just plug in the numbers in the point-slope form from what we're given. We have y=-2/3x+12 and (6,-11).

Point-slope form:

y-y1=m(x-x1) → y+11=-2/3(x-6)

m represents the slope, which is -2/3 in this situation.

y1 represents the y coordinate, which is -11 in this situation. However, when we plug in negative numbers in a point-slope form, we would do the opposite of the negative number, which is to make it a positive in point-slope form.

x1 represents the x coordinate, which is 6 in this situation.

8 0

2 years ago

Blake is playing a racing game on his computer. The game tracks the locations of objects using and y coordinates (see graph belo

Anvisha [2.4K]

<h3>Answer: 2.2 units</h3>

============================================

Explanation:

I'll define these point labels

B = Blake's starting position
F = finish line
C = the third unmarked point of the triangle

The locations of the points are

B = (-8,1)
C = (-6,-3)
F = (4,-2)

Use the distance formula to find the distance from B to C

$B = (x_1,y_1) = (-8,1) \text{ and } C = (x_2,y_2) = (-6,-3)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-8-(-6))^2 + (1-(-3))^2}\\\\d = \sqrt{(-8+6)^2 + (1+3)^2}\\\\d = \sqrt{(-2)^2 + (4)^2}\\\\d = \sqrt{4 + 16}\\\\d = \sqrt{20} \ \text{ ... exact distance}\\\\d \approx 4.47214 \ \ \text{... approximate distance}\\\\$

Segment BC is roughly 4.47214 units long.

Following similar steps, you should find that segment CF is approximately 10.04988 units long.

If Blake doesn't take the shortcut, then he travels approximately BC+CF = 4.47214+10.04988 = 14.52202 units. This is the path from B to C to F in that order.

---------

Use the distance formula again to find the distance from B to F. This distance is about 12.36932 units. He travels this amount if he takes the shortcut.

Subtract this and the previous result we got

14.52202 - 12.36932 = 2.1527

That rounds to 2.2

This is the amount of distance he doesn't have to travel when he takes the shortcut.

In other words, the track is roughly 2.2 units shorter when taking the shortcut.

Side note: Replace "units" with whatever units you're working with (eg: feet or meters).

7 0

2 years ago

A length of a rope is 8 meter long how many 2/5 meter pieces can be cut from the length of the rope

kozerog [31]

$8 / \frac{2}{5} = 8 * \frac{5}{2} = 4*5 = 20$

7 0

2 years ago

Evaluate 6ᵗʷᵒ – (9 ÷ x) when x = 3.

tia_tia [17]

Answer:

B. 33

Step-by-step explanation:

36 - (9/ 3)

36 - 3

7 0

1 year ago