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OleMash [197]
3 years ago
5

Write an explicit formula for a_na

Mathematics
1 answer:
emmasim [6.3K]3 years ago
7 0
An=11+(n-1)*(-2)))))
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Ruthie wants to construct a line that passes through point P and is perpendicular to AB. What should Ruthie do first?
borishaifa [10]
Ruthie wants to construct a line that passes through point P and is perpendicular to AB. What should Ruthie do first?

A) measure the length of segment AB with her compass
B) construct two intersecting arcs with centers A and B
C) use her straight-edge to draw a line from point P to point A
☆☆☆D) construct an arc with center P that intersects segment AB in two points
8 0
4 years ago
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Consider this system of equations. Which shows the second equation written in slope-intercept form? y = 3 x minus 2. 10 (x + thr
Arte-miy333 [17]

Question

Consider this system of equations. Which shows the second equation written in slope-intercept form?

y = 3x - 2.

10(x + \frac{3}{5} ) = 2y

A. y = 5x + \frac{3}{10}

B. y = 5x + 3

C. y = \frac{1}{5} x + \frac{3}{25}

D. y = \frac{1}{2} x + 6

Answer:

B. y = 5x + 3

Step-by-step explanation:

Given

Equation 1: y = 3x - 2.

Equation 2: 10(x + \frac{3}{5} ) = 2y

Required:

Equivalent of equation 2

To get an equivalent of equation 2 (in slope intercept form), first we have to simplify equation 2

10(x + \frac{3}{5} ) = 2y

Open the bracket

10*x + 10 *\frac{3}{5} = 2y

10x + \frac{30}{5} = 2y

Simplify fraction

10x + 6 = 2y

Divide through by 2

\frac{10x}{2}  + \frac{6}{2} = \frac{2y}{2}

5x + 3 = y

Re-arrange

y = 5x + 3

The next step is to compare each of option A through D with y = 5x + 3

A.

y = 5x + \frac{3}{10} is not equal to y = 5x + 3

We check the next available option

B.

y = 5x + 3 is equal to y = 5x + 3

This option is equivalent to the second equation in slope-intercept form.

We check further if there are more equivalent options

C.

y = \frac{1}{5} x + \frac{3}{25}

Convert fraction to decimal

y = 0.2x + 0.12

This is not equal to y = 5x + 3

D.

y = \frac{1}{2} x + 6

Convert fraction to decimal

y = 0.5x + 6

This is not equal to y = 5x + 3

Hence, the only equation that is equivalent to the second equation written in slope intercept form is Option B

7 0
3 years ago
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In a toothpick sequence, the total number of toothpicks in a term
ANEK [815]

Answer: d

6 more= to add

twice= times by 2

the number of horizontal pick sticks (h)

t is meaning the total amount

so total is equal to 2 times the number of h plus 6

6 0
1 year ago
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The bar graph shows the numbers of reserved campsites at a campground for one week. What percent of the reservations were for Fr
Slav-nsk [51]

Answer:

66.67 %

Step-by-step explanation:

As we can see from the figure

We are given a bar graph in which bars represent the number of reserved campsites at a camp ground for one week from Monday to Sunday.

First of all

Lets the count the total number of reservations made by campsites during the week.

Total Number of campsite reservations = 5+3+4+7+26+30+9

Total Number of campsite reservations =84

Now

we have to calculate what percent of reservations were made for friday or saturday.

% of reservations made on friday or saturday = \frac{total-numer-of-reservations-on-friday-or-saturday}{total-number-of reservations}

% of reservations made on friday or saturday = \frac{26+30}{84}

% of reservations made on friday or saturday = \frac{56}{84}

% of reservations made on friday or saturday = 66.67 %

So in total 66.67 % reservations are on friday and saturday.

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4 years ago
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Nick's boss called to ask if he could cover another employee's shift on Friday night. However, Nick said that he was busy becaus
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Answer: $25

Step-by-step explanation:

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3 years ago
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