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3 years ago

Which lines are parallel to 8x + 2y = 7?

Mathematics

2 answers:

Ede4ka [16]3 years ago

7 0

Answer:

8x + 2y = 7

2y = -8x + 7

y = -4x + 7/2; this line has slope equal -4

Parallel lines, slope is the same so slope of parallel line is also -4

A. y − 1 = 4(x + 8); slope m = 4....FALSE

B. y = −4x + 15; slope m = - 4....TRUE

C. 16x + 4y = 9; 4y = -16x + 9 so y = -4x + 9/4; slope m = - 4....TRUE

D. y = −4x; slope m = - 4....TRUE

Step-by-step explanation:

nlexa [21]3 years ago

7 0

Answer: y = -4x+b

Step-by-step explanation: All lines with slope -4 are parallel to this line. For example: y=-4x

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Baxter is thinking about buying a car. The table below shows the projected value of two different cars for three years.

saw5 [17]

Car 1: It is an exponential function that is given as P = 18,500 (0.9595)ⁿ and the price after 10 years is $12,235.5.

Car 2: It is a linear function that is given as 2000x + 3y = 55500 and the price after 10 years is $11,833.33.

And Yes, there is a significant difference.

<h3>What is a function?</h3>

A function is a statement, rule, or law that establishes the connection between two variables. In mathematics, functions are everywhere and are necessary for constructing physical connections.

Baxter is thinking about buying a car. The table below shows the projected value of two different cars for three years.

Car 1 (value in dollars)

Year 1: 18,500

Year 2: 17,390

Year 3: 16,346.60

Car 2 (value in dollars)

Year 1: 18,500

Year 2: 17,500

Year 3: 16,500

The exponential function describes car 1.

Then the function will be

$\rm P = 18500\times (0.95995)^n$

The linear function describes car 2.

$\rm y \ - \ 18500 = \dfrac{-2000}{3}(x - 0)\\\\\\3y - 55500 = -2000x\\\\\\2000x +3y = 55500$

Then the value of the car 1 after 10 years will be

$\rm P = 18500\times (0.95995)^{10}\\\\\\P = \$ \ 12,235.5$

Then the value of the car 2 after 10 years will be

$\rm 2000 \times 10 +3y = 55500\\\\y = \$ \ 11,833.33$

Yes, there is a significant difference.

More about the function link is given below.

brainly.com/question/5245372

#SPJ1

5 0

2 years ago

You are going to mow your neighbor's lawn for some extra money. Below is a scale drawing of their lawn, where each square repres

Colt1911 [192]

9514 1404 393

Answer:

rectangle; parallelogram with 90° angle
150 feet
$40 flat rate

Step-by-step explanation:

1. The slope of AB is ...

mAB = (yB-yA)/(xB-xA) = (4-0)/(6-3) = 4/3

The slope of AD is ...

mAD = (yD-yA)/(xD-xA) = (6-0)/(-5-3) = 6/-8 = -3/4

The product of these slopes is (4/3)(-3/4) = -1, so the segments AB and AD are perpendicular.

The midpoints of AC and BD will be the same if the sum of their coordinates is the same:

A+C = (3, 0) +(-2, 10) = (1, 10)

B+D = (6, 4) +(-5, 6) = (1, 10)

The midpoints of the diagonals of ABCD are the same, so the figure is a parallelogram. One corner angle is 90°, so the parallelogram is a rectangle. The quadrilateral ABCD is a rectangle.

2. Using the coordinate differences found in part 1, we know the length AB is the hypotenuse of a 3-4-5 triangle, so is 5 grid squares. Similarly, the length of AD is twice that length, so is 10 grid squares. The perimeter in grid squares is ...

P = 2(L+W) = 2(10+5) = 30 . . . . grid squares

Each grid square represents 5 ft, so the perimeter is ...

(30 squares)(5 ft/square) = 150 ft . . . perimeter

3. The rectangle is 5 × 10 grid squares, or 25 × 50 ft. Then its area is ...

A = LW = (50 ft)(25 ft) = 1250 ft²

At $0.03/ft², the payment for mowing would be ...

($0.03/ft²)(1250 ft²) = $37.50

The $40 flat rate would make you the most money.

5 0

2 years ago

Did the greeks use erasers in geometric construction?

Anika [276]

Yes,<span>the famous </span>geometric construction<span> </span><span> a pair of compasses, an unmarked ruler, and (of course!) a pencil and an </span>eraser<span>.</span>

5 0

3 years ago

Read 2 more answers

Please help with this question

12345 [234]

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3 years ago

Plz help whith homework

grin007 [14]

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3 years ago