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3 years ago

10

What is the equation of a line that is parallel to x - 2y= -4 and passes through the point 0,0

1 answer:

dem82 [27]3 years ago

8 0

The answer is y=1/2x

You might be interested in

The value pi/4 is a solution for the equation 3 sqrt 2 cos theta+2=-1

natulia [17]

Answer:

<h2>FALSE</h2>

Step-by-step explanation:

$3\sqrt2\cos\theta+2=-1\\\\\text{Method 1}\\\\\text{Put}\ \theta=\dfrac{\pi}{4}\ \text{to the equation and check the equality:}\\\\\cos\dfrac{\pi}{4}=\dfrac{\sqrt2}{2}\\\\L_s=3\sqrt2\cos\dfrac{\pi}{4}+2=3\sqrt2\left(\dfrac{\sqrt2}{2}\right)+2=\dfrac{(3\sqrt2)(\sqrt2)}{2}+2\\\\=\dfrac{(3)(2)}{2}+2=3+2=5\\\\R_s=-1\\\\L_s\neq R_s\\\\\boxed{FALSE}$

$\text{Method 2}\\\\\text{Solve the equation:}\\\\3\sqrt2\cos\theta+2=-1\qquad\text{subtract 2 from both sides}\\\\3\sqrt2\cos\theta=-3\qquad\text{divide both sides by}\ 3\sqrt2\\\\\cos\theta=-\dfrac{3}{3\sqrt2}\\\\\cos\theta=-\dfrac{1}{\sqrt2}\cdot\dfrac{\sqrt2}{\sqrt2}\\\\\cos\theta=-\dfrac{\sqrt2}{2}\to\theta=\dfrac{3\pi}{4}+2k\pi\ \vee\ \theta=-\dfrac{3\pi}{4}+2k\pi\ \text{for}\ k\in\mathbb{Z}\\\\\text{It's not equal to}\ \dfrac{\pi}{4}\ \text{for any value of }\ k.$

7 0

3 years ago

The legs of an iscosceles triangle have lengths 3x-1 and -x +27. The base has length 5x+1. What is the length of the base

asambeis [7]

Answer: 36

Step-by-step explanation:

The legs are given to be :

3x - 1 and -x + 27

The base = 5x + 1

One of the properties of an isosceles triangle is that two sides are equal , that is the two legs are equal. This means that

3x - 1 = - x + 27

3x + x = 27 + 1

4x = 28

x = 7

To calculate the length of the base, substitute x = 7 into the length of the base given , that is

Length of the base = 5(7) + 1

L = 35 + 1

L = 36

7 0

3 years ago

–12(x + 3) - 4(5 - 2x) = 20

12345 [234]

Answer:

x = -19

Step-by-step explanation:

1. make parentheses disappeared using distribution law.

$- 12x - 36 - 20 + 8x = 20$

2. sum up b numbers and x

$- 4x - 56 = 20$

3. separate x and number to two sides of the equation

$- 4x = 76$

4. both side divided by -4

$x = - 19$

7 0

3 years ago

Read 2 more answers

a plane rises from take-off and flies at an angle of 6 with the horizontal runway. When it has gained 900 feet, find the distanc

Vladimir79 [104]

Answer:

$d=8610.1ft$

Step-by-step explanation:

From the question we are told that:

Angle $\theta =6\textdegree$

Height of plane $h=900ft$

Generally the trigonometric equation for distance flown d is mathematically given by

$sin \theta=\frac{h}{d}$

Therefore

$d=\frac{h}{sin\theta}$

$d=\frac{900}{sin6}$

$d=8610.1ft$

6 0

3 years ago

Suppose a batch of metal shafts produced in a manufacturing company have a standard deviation of 1.5 and a mean diameter of 205

lawyer [7]

Answer:

the probability is 0.0750

Step-by-step explanation:

The computation of the probability is shown below;

The mean of x is

= 1.5 ÷ √79

= 0.1688

Now the probability is

= P(Z < -0.3 ÷ 0.1688) + P(\bar{x} > 0.3 ÷ 0.1688)

= P(Z < -1.78) + P(Z > 1.78)

= P(Z < -1.78) + 1 - P(Z < 1.78

= 0.0375 + 1 - 0.9625

= 0.0750

hence, the probability is 0.0750

3 0

3 years ago