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3 years ago

Find the sum of the first 13 terms in the series -5+1+7...+67

Mathematics

1 answer:

valentinak56 [21]3 years ago

5 0

This is an arithmetic series with common difference 6

S13 = (13/2)[2*-5 + (13-1)*6)] = 403

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Points H and F lie on circle C. Circle C is shown. Line segments E C, F C, and D C are radii. Tangents E G and D G intersect at

stira [4]

Answer:

answer on ed. is 6 units

6 0

3 years ago

Read 2 more answers

Help<br><br> Determine which equation is parallel to line jk and which is perpendicular to line jk.

alukav5142 [94]

Answer:

5x + 3y = 13 parallel.

6x - 10y = 7 perpendicular.

Step-by-step explanation:

Two lines with slopes $m_1$ and $m_2$ are parallel when $m_1=m_2$ and are perpendicular when $m_1*m_2=-1$

Now determine the slope of all the lines

The line jk passes through the points

(-5,5) and (1,-5) so its slope is

$\frac{-5-5}{1-(-5)}=\frac{-10}{6}=-\frac{5}{3}$

To determine the slope of the lines in the blue rectangles, isolate y from each one and the coefficient of x is the slope

5x-3y = 8 ------> y = (5/3)x + 8/3 ------> slope 5/3

Neither parallel nor perpendicular.

6x+10y = 11 ------> y = (-6/10)x + 11/10 = (-3/5)x + 11/10 ------> slope -3/5

Neither parallel nor perpendicular.

5x + 3y = 13 ------> y = (-5/3)x + 13/3 ------> slope -5/3

This line is parallel

6x - 10y = 7 ------> y = (6/10)x - 7/10 = (3/5)x -7/10 ------> slope 3/5

Since (-5/3)(3/5) = -1 this line is perpendicular.

8 0

2 years ago

why do the products of multidigit numbers with zeros & one digit sometimes have zeros in them & sometimes have no zeros

Bingel [31]

Im not quite triggered but U should go to mathantics.com or watch his videos to find it out :D

3 0

3 years ago

Read 2 more answers

The length of the sides of a triangle is given. Determine

Stels [109]

Answer:

The triangle is a right triangle

Step-by-step explanation:

For the triangle to be right, Pythagoras’ theorem must be obeyed

According to the theorem, the square of the longest side (the hypotenuse) equals the sum of the squares of the two other sides

Now, from the given side lengths, the highest value is 10;

squaring this, we have 10^2 = 100

Squaring and adding the other values, we have

6^2 + 8^2 = 36 + 64 = 100

This mean the values are equal and the Pythagoras’ theorem is obeyed

Hence, we can conclude that the triangle with the given side lengths is a right triangle

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3 years ago

Suzanne ran 4.5 miles for the school fundraiser. She earned $2.40 per mile. How much money did she make?

pochemuha

Answer:

the answer is $10.

$2.40=1

n=4.5

= 4.5×2.40

=$10.80

7 0

3 years ago