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3 years ago

Tell whether the lines for each pair of equations are parallel,perpendicular,or neither.

Mathematics

2 answers:

frutty [35]3 years ago

4 0

Answer:

The lines for each pair of equations are perpendicular, because the slopes for both of these have negative reciprocals.

Step-by-step explanation:

-5x+10y=5

x-2y=-1

2y=x-(-1)

2y=x+1

y=1/2x+1/2

olga2289 [7]3 years ago

3 0

Answer:

Both of the lines are parallel.

Step-by-step explanation:

Solve for x.

Plug in the value of y into the equation.

y= -2x+4

-5x+10y=5

-5x + 10(-2x+4) = 5

-5x - 20x + 40 = 5

-40 -40

-----------------------------------

-5x - 20x = 5 - 40

-5x - 20x = -35

-25x = -35

÷ -25 ÷ -25

-----------------------

x = 1.4

Solve for y.

Plug in the value of x into the equation.

y= -2x+4

y = -2(1.4) + 4

y = -2.8 + 4

y = 1.2

Solve.

Plug in both the x an y values.

-5x+10y=5

-5(1.4) + 10(1.2) = 5

-7 + 12 = 5

5 = 5

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Mrs. Malone has $75 to buy volleyball for lincoln Middle School. How many can she buy at $9 each?

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Step-by-step explanation:

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3 years ago

Read 2 more answers

A triangle has a 60 degree angle, and the two adjacent sides are 12 and 12 times the square root of 3. Find the radius of a circ

Natasha_Volkova [10]

The radius of the circle is a line from the center of the circle to its circumference

The radius of the circle with the same vertex as a center is 10.16 units

<h3>How to determine the radius</h3>

From the question, we understand that:

The adjacent sides of the triangle are 12 and $12\sqrt 3$
The triangle has an angle of 60 degrees

Start by calculating the area of the triangle using:

$Area = 0.5ab\sin C$

So, we have:

$Area = 0.5 * 12 * 12\sqrt 3 *\sin (60)$

This gives

$Area = 0.5 * 12 * 12\sqrt 3 * \frac{\sqrt 3}{2}$

$Area = 108$

The arc divides the triangle into two equal regions.

So, the area of the arc is:

$Arc = 0.5 * Area = 0.5 * 108$

$Arc = 54$

Also, the area of the arc is:

$Arc = \frac{\theta}{360} * \pi r^2$

So, we have:

$Arc = \frac{60}{360} *3.14 * r^2$

Simplify

$Arc = 0.523 * r^2$

This gives

$0.523 * r^2 = 54$

Divide both sides by 0.523

$r^2 = 103.25$

Take the square roots of both sides

$r = 10.16$

Hence, the radius of the circle with the same vertex as a center is 10.16 units

Read more about circumcised triangles at:

brainly.com/question/4268382

5 0

3 years ago

After returning from the Apple Emporium, Austin looked at his receipt and discovered that he paid $1.10 for two Jonagold apples,

Stolb23 [73]

Answer: Austin spent $7.2 on his second trip to the Apple Emporium

Step-by-step explanation:

Austin paid $1.10 for two Jonagold apples. This means that the cost of one Jonagold apple is

1.10/2 = $0.55

He paid 6.75 for nine Gravenstein apples. This means that the cost of one Gravenstein apple is

6.75/9 = $0.75

He paid $3.85 for seven Rome Beauty apples. This means that the cost of one Rome Beauty apple is

3.85/7 = $0.55

Austin then decided to return to the Apple Emporium to purchase four more Jonagold apples, three more Gravenstein apples, and five more Rome Beauty apples.

Amount spent on four more Jonagold apples is

0.55 × 4 = $2.2

Amount spent on three more Gravenstein apples is

0.75 × 3 = $2.25

Amount spent on five more Rome Beauty apples is

0.55 × 5 = $2.75

The amount that Austin spent on his second trip to the Apple Emporium is

2.2 + 2.25 + 2.75 = $7.2

5 0

4 years ago