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3 years ago

Determine if y=-2x-7 and -y=2x+13 are parallel, perpendicular, coincide or none of these

1 answer:

4 0

If you move the negative on the left side of the second equation over to the right side, then we can see that the equation is equivalent to $y={-2x} - 13$ .

Remember that an equation $y = mx + b$ represents a line with slope $m$ and y-intercept $b$ . Since both equations given have a slope of -2, but have different y-intercepts, they are parallel.

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A 70-foot wire attached to the top of a building is anchored to the ground 20 feet from the base of the building. Which value is

JulijaS [17]

Answer:

The the angle which the wire make with the ground is 1.280 radian .

Step-by-step explanation:

Given as :

The length of the wire attached to the top of building = OB = 70 foot

The distance of wire anchored from base of ground = OA = 20 feet

Let the angle made by wire en and ground = Ф

Now from , In Triangle AOB

Cos angle = $\dfrac{\textrm Base}{\textrm Hypotenuse}$

Or, Cos Ф = $\dfrac{\textrm OA}{\textrm OB}$

or, Cos Ф = $\dfrac{\textrm 20}{\textrm 70}$

Or, Cos Ф = $\dfrac{\textrm 2}{\textrm 7}$

∴ Ф = $Cos^{-1}(\frac{2}{7})$

I.e Ф = 73.39°

Now in radian ,

∵ 180° = $\pi$ radian

∴ 73.39° = $\frac{\pi }{180}$ × 73.39°

= $\frac{3.14 }{180}$ × 73.39° = 1.280 radian

Hence The the angle which the wire make with the ground is 1.280 radian . Answer

4 0

3 years ago

Read 2 more answers

What is the slope OF THE GRAPH, not what is A slope, what is THE slope

PtichkaEL [24]

You can find the slope either by just looking at the line or using the slope formula.

#1: The slope formula is:

$m=\frac{y_2-y_1}{x_2-x_1}$ Find two points and plug it into the formula

I will use (0, 2) and (1, -1)

(0, 2) = (x₁, y₁)

(1, -1) = (x₂, y₂)

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

$m = \frac{2-(-1)}{0-1}$ [two negatives cancel each other out and become positive]

$m=\frac{2+1}{-1} =\frac{3}{-1}$

m = -3

#2: To find the slope without having to do the work, you use this:

$m=\frac{rise}{run}$

Rise is the number of units you go up(+) or down(-) from each point

Run is the number of units you go to the right from each point

If we start at a defined/obvious point, like (0, 2), find the next point and see how many units it goes up or down and to the right. The next point is (1, -1), so from each point, you go down 3 units and to the right 1 unit. So your slope is -3/1 or -3. You can make sure the slope is right by looking at another point.

5 0

3 years ago

Read 2 more answers

Simplify 2y+4x=16x +6y

AleksAgata [21]

The Answer would be y=-3x

8 0

3 years ago

Match each equation with its solution set.

taurus [48]

Answer:

1- The solution of I2x + 5I = 9 is {-7 , 2}

2- The solution of I2x + 7I + 2 = 11 is {-8 , 1}

3- The solution of I5 - xI = 6 is {-1 , 11}

4- The solution of I6x - 8I + 7 = 5 is ∅

5- The solution of Ix + 3I = 12 is {-15 , 9}

6- The solution of Ix - 3I = -12 is ∅

Step-by-step explanation:

* At first lets explain the meaning of IxI = a

- If IxI = a ⇒ then x = a or x = -a

- IxI never give a negative answer, because IxI means the

magnitude of x is always positive

Ex: I-2I is 2

* Now lets find the solution of each equation

1- ∵ I2x + 5I = 9

∴ 2x + 5 = 9 ⇒ subtract 5 from both sides

∴ 2x = 4 ⇒ divide both sides by 2

∴ x = 2

∴ 2x + 5 = -9 ⇒ subtract 5 from both sides

∴ 2x = -14 ⇒ divide both sides by 2

∴ x = -7

* The solution of I2x + 5I = 9 is {-7 , 2}

2- ∵ I2x + 7I + 2 = 11 ⇒ Subtract 2 from both sides

∴ I2x + 7I = 9

∴ 2x + 7 = 9 ⇒ subtract 7 from both sides

∴ 2x = 2 ⇒ divide both sides by 2

∴ x = 1

∴ 2x + 7 = -9 ⇒ subtract 7 from both sides

∴ 2x = -16 ⇒ divide both sides by 2

∴ x = -8

* The solution of I2x + 7I + 2 = 11 is {-8 , 1}

3- ∵ I5 - xI = 6

∴ 5 -x = 6 ⇒ subtract 5 from both sides

∴ -x = 1 ⇒ divide both sides by -1

∴ x = -1

∴ 5 -x = -6 ⇒ subtract 5 from both sides

∴ -x = -11 ⇒ divide both sides by -1

∴ x = 11

* The solution of I5 - xI = 6 is {-1 , 11}

4- ∵ I6x - 8I + 7 = 5 ⇒ Subtract 7 from both sides

∴ I6x - 8I = -2

- I I never give negative answer

* The solution of I6x - 8I + 7 = 5 is ∅

5- ∵ Ix + 3I = 12

∴ x + 3 = 12 ⇒ subtract 3 from both sides

∴ x = 9

∴ x + 3 = -12 ⇒ subtract 3 from both sides

∴ x = -15

* The solution of Ix + 3I = 12 is {-15 , 9}

6- ∵ Ix - 3I = -12

- I I never give negative answer

* The solution of Ix - 3I = -12 is ∅

4 0

3 years ago

Grace is considering purchasing a phone plan. The phone plan

levacccp [35]

Answer:

211 text messages

Step-by-step explanation:

20+(m•0.10)=41.10

41.1-20=21.1÷0.1=211

5 0

2 years ago