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Mnenie [13.5K]
3 years ago
7

At a concession stand, a pickle and two bags of chips costs a total of $3.25. Three pickles and four bags of chips costs a total

of $7.25. To determine the cost of one pickle, Kevin is writing a system of equations. His first equation is shown below. Which of the following could be the second equation in his system of equations?
Mathematics
1 answer:
Vladimir [108]3 years ago
6 0
Agggggggg step by step!
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CD is perpendicular to AB and passes through point C5, 12).
Aleksandr-060686 [28]

Answer:

x intercept of CD = 17

Step-by-step explanation:

We are given a line AB with its end coordinates. and Another line segment CD which is perpendicular to AB. We have the coordinates of C , and we are asked to find the x intercept of line CD.

For that we need to find the equation of CD

we have coordinates of C , and hence if we have slope of CD we can find equation of CD

Slope of CD can be determine with the help of slope of AB as CD⊥ AB

So, the slope of CD mCD = -\frac{1}{mAB}

Hence we start from determining slope of AB

slope is given as

m= \frac{y_2-y_1}{x_2-x_1}

m= \frac{14-(-3)}{7-(-10)}=\frac{17}{17}=1

Hence mAB=1

There fore mCD=-1

(∵  Product of Slopes of two perpendicular lines is always -1)

Now we find the equation of CD with the help of slope -1 and coordinates of C(5,12)

m=\frac{y-y_1}{x-x_1}

-1=\frac{y-12}{x-5}

-x+5=y-12

y=-x+17

Hence we have our equation , now in order to find the x intercept we keep y = 0 in it and solve for x

0=-x+17

x=17

Hence the x intercept is 17

8 0
2 years ago
In a bank account a paid out expense is called a debit and a deposit is called a credit. Would you use positive or negative inte
Allisa [31]

Answer:

positive integer

Step-by-step explanation:

In a bank account,

A paid out expense is called as debit

A deposit is called as credit

To find: sign used to represent credits

Solution:

Integers denote a set of natural numbers, their negative counterpart, and 0.

As credit denotes the amount deposited, the positive integer is used to denote credits.

5 0
3 years ago
A group of college students are going to a lake house for the weekend and plan on renting small cars and large cars to make the
Alexus [3.1K]

4x+6y=56 and y=4x can be used to determine the number of small cars rented and the number of large cars rented, where x represents number of small cars and y represents number of large cars.

Step-by-step explanation:

Number of people hold by small cars = 4

Number of people hold by large cars = 6

Let,

Number of small cars = x

Number of large cars = y

The students rented 4 times as many large cars as small cars,

y = 4x    Eqn 1

which altogether can hold 56 people.

4x+6y=56   Eqn 2

4x+6y=56 and y=4x can be used to determine the number of small cars rented and the number of large cars rented, where x represents number of small cars and y represents number of large cars.

Keywords: linear equations, addition

Learn more about linear equations at:

  • brainly.com/question/6275033
  • brainly.com/question/6436086

#LearnwithBrainly

6 0
3 years ago
Need answer asap, correct answer gets brainliest.
garik1379 [7]

Answer:

A is (6,-4)

Step-by-step explanation:

5 0
2 years ago
24. A political discussion group consists of 30 Republicans,
Makovka662 [10]

Answer:

12 /67

Step-by-step explanation:

I added everything up to get 67 then I added independent and green together to get 12

7 0
2 years ago
Read 2 more answers
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