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Reika [66]
3 years ago
13

An equation parallel and perpendicular to 4x+5y=19

Mathematics
1 answer:
mestny [16]3 years ago
8 0

Answer:

An equation parallel to 4x + 5y = 19 would be y = -4/5x +12.

An equation perpendicular to 4x + 5y = 19 would be y = 5/4x + 10.

Step-by-step explanation:

The equation given represents a linear equation in Standard Form (Ax + By = C).  Lines that are parallel to each other go the same direction and don't touch, so their slopes must be the same.  However, lines that are perpendicular go in opposite directions and intersect, so their slopes must be the direct opposite of each other.  In order to find the slope, you must first convert from the Standard Form given to Slope Intercept Form (y = mx +b).  When you solve the given equation for 'y', you get: y = -4/5x + 19, where the slope = -4/5.  To make a parallel equation, simply keep the same slope and choose a different y-intercept ('b').  To make a perpendicular equation, take the direct opposide of your slope 5/4 (positive) and choose a different y-intercept.  

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What is the word name for 3,552,308,725
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Step-by-step explanation:

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Kevin runs a farm stand that sells apples and raspberries. Each pound of apples sells for $3.50 and each pound of raspberries se
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Kevin sold 10 pounds of apples and 20 pounds of raspberries.

Step-by-step explanation:

Given,

Cost per pound of apples = $3.50

Cost per pound of raspberries = $4

Total amount earned = $115

Let,

x represent the pounds of apples sold

y represent the pounds of raspberries sold

According to given statement;

3.50x+4y=115     Eqn 1

y = 2x                  Eqn 2

Putting value of y from Eqn 2 in Eqn 1

3.50x+4(2x)=115\\3.50x+8x=115\\11.50x=115

Dividing both sides by 11.50

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Putting x=10 in Eqn 2

y=2(10)\\y=20

Kevin sold 10 pounds of apples and 20 pounds of raspberries.

Keywords: linear equation, substitution method

Learn more about linear equations at:

  • brainly.com/question/4279146
  • brainly.com/question/4354581

#LearnwithBrainly

5 0
3 years ago
Tyrone is making 52 cookies for a party. Some will be a pecan cookies and some will be honey ginger. The ratio pecans a honey gi
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Complete Question

Tyrone is making 52 cookies for a party. Some will be a pecan cookies and some will be honey ginger. The ratio of pecans to a honey ginger is 7:6. How many of each kind of cookie will he make

Answer:

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Step-by-step explanation:

From the above question

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Number of pecans

= 7/13 × 52 = 28 pecans cookies

Number of Honey ginger

= 6/13 × 52 = 24 Honey ginger cookies

Therefore, we have:

28 pecan cookies and 24 Honey ginger cookies

7 0
2 years ago
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