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3 years ago

Choose the arithmetic series that is associated with this summation.

Mathematics

1 answer:

Verizon [17]3 years ago

7 0

Plug n = 1 into the expression 20-9n and we get
20-9n = 20-9*1 = 20-9 = 11

So 11 is the first term of the series that we add up. Therefore the answer must be choice C, which has 11 listed as the first term added

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What's the reciprocal of 0.5?

stellarik [79]

Answer:

Step-by-step explanation:

The reciprocal of a number n is $\frac{1}{n}$

Here n = 0.5, then reciprocal is

$\frac{1}{0.5}$ = 2

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2 years ago

Write the following equation in general form Ax+By+C=0. 1/2y-1/3x-1=0

Oksanka [162]

Answer:

1/2 y - 1/3 x -1 = 0

Multiply through by the LCD -6 to clear the fractions and the negative coefficient with the 'x'.

-3y + 2x + 6 = 0

Then reorder

2x - 3y + 6 = 0

Step-by-step explanation:

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3 years ago

Determine if the two triangles are congruent. If they are state how you know.

Elanso [62]

Answer:

3,4,5 are congruent angles

Step-by-step explanation:

Congruent Angles have the same angle (in degrees or radians). That is all. They don't have to point in the same direction. They don't have to be on similar sized lines.

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3 years ago

Read 2 more answers

The length if the base of an isosceles triangle is 2x. The length of the leg is 6x-20. The perimeter of the triangle is 240. Fin

Natali5045456 [20]

Answer:

x is about 14.2857

Step-by-step explanation:

8 0

3 years ago

The coordinates of the vertices of a rectangle are (-4, 3), (-1, 5),(3, – 1), and (0, – 3).

SCORPION-xisa [38]

Answer:

Perimeter of rectangle is 23.34

Step-by-step explanation:

The coordinates of the vertices of a rectangle are (-4, 3), (-1, 5),(3, – 1), and (0, – 3).

What is the perimeter of the rectangle?

The formula to find perimeter of rectangle is: $Perimeter=2(l+w)$

We need to find length and width first using the coordinates (-4, 3), (-1, 5),(3, – 1), and (0, – 3).

Let A=(-4, 3) B=(-1, 5) C=(3, – 1) and D=(0, – 3) according to the figure attached.

So, If we find distance of point AB it can be considered length of rectangle and distance of point AC can be considered width of rectangle

The formula used to find distance is: $Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Finding distance AB, we have $x_1=-4, y_1=3, x_2=-1, y_2=5$

$Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\Distance=\sqrt{(-1-(-4))^2+(5-3)^2}\\Distance=\sqrt{(-1+4)^2+(5-3)^2}\\Distance=\sqrt{(3)^2+(2)^2}\\Distance=\sqrt{9+4}\\Distance=\sqrt{13}\\Distance=3.61$

So distance between point A and B is 3.61

Finding distance AC, we have $x_1=-4, y_1=3, x_2=3, y_2=-1$

$Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\Distance=\sqrt{(3-(-4))^2+(-1-3)^2}\\Distance=\sqrt{(3+4)^2+(-1-3)^2} \\Distance=\sqrt{(7)^2+(-4)^2} \\Distance=\sqrt{49+16} \\Distance=\sqrt{65}\\Distance=8.06$

So, distance between point A and C is 8.06

We have length = 3.61 and width = 8.06

Using formula of perimeter

$Perimeter=2(l+w)\\Perimeter=2(3.61+8.06)\\Perimeter=2(11.67)\\Perimeter=23.34$

So, Perimeter of rectangle is 23.34

6 0

3 years ago