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3 years ago

What is the equation of the line perpendicular to 2x+5y=202x+5y=20 and containing the point (10,−4)(10,−4)?

1 answer:

6 0

2x + 5y = 20
5y = -2x + 20
y = -2/5x + 4. The slope here is -2/5. A perpendicular line will have a negative reciprocal slope. To find the negative reciprocal of -2/5, we flip the slope and change the sign. So our perpendicular line will have a slope of 5/2.

y = mx + b
slope(m) = 5/2
(10,-4)....x = 10 and y = -4
now we sub and find b, the y int
-4 = 5/2(10) + b
-4 = 25 + b
-4 - 25 = b
-29 = b

so our perpendicular equation is : y = 5/2x - 29 <==

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Deffense [45]

Correct answer is option D.

The solution is listed below

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3 years ago

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Vanyuwa [196]

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ch4aika [34]

Answer:

Step 3, because the solution should also include all the values for x between the two given values

Step-by-step explanation:

step 1

we have

$y_1=\left|x-4\right|$

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step 2

The graph in the given problem

step 3

Identify the solution when $y1\leq y2$

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using a graphing tool

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see the attached figure

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3 years ago

Read 2 more answers

Mr. and mrs. lorenzo want to buy a home valued at $213,500. if they have 18% of this amount saved for a down payment, how much h

Vesnalui [34]

Option d is the correct answer. $38,430.00 is the amount saved for a down payment given that Mr. and Mrs. Lorenzo want to buy a home valued at $213,500 and they have 18% of this amount saved for the down payment. This can be obtained by using percentage formula.

<h3>How much have they saved?</h3>

The percentage of a number can be obtained using percentage formula,

If P% of X is Y then it can be denoted using the formula of percentage as,

⇒ P% of X = Y

⇒ P% × X = Y (where P% is P/100)

Here in the question it is given that,

Mr. and Mrs. Lorenzo want to buy a home valued at $213,500

They have 18% of this amount saved for a down payment

We have to find the amount they saved for the down payment.

Given that the total amount = $213,500

Percentage they are saving = 18%

The amount they saved for the down payment,

18% of the total amount = 18% of $213,500

Using the percentage formula we get,

18% of $213,500 = 18% × $213,500

18% of $213,500 = 18/100 × $213,500

18% of $213,500 = $ 38,430.00

Hence Option d is the correct answer. $38,430.00 is the amount saved for a down payment given that Mr. and Mrs. Lorenzo want to buy a home valued at $213,500 and they have 18% of this amount saved for the down payment.

Learn more about percentages here:

brainly.com/question/14366896

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Grace [21]

Answer:

Step-by-step explanation:

range is how far the graph goes from bottom to top.

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