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2 years ago

The lines shown below are parallel. If the green line has a slope of -2, what is the slope of the red line?

Mathematics

1 answer:

katrin [286]2 years ago

6 0

Answer:

-2

Step-by-step explanation:

if lines are parallel then they always have the same slope!

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Help find the missing lengths round to nearest tenth

Mama L [17]

Answer:

Step-by-step explanation:

Theta is 21 degrees

x is the adjacent side
8 is the opposite side
y is the hypothenuse

SOH - CAH - TOA

Since the opposite side is given and we need to find the length of the adjacent side, we can use tangent to solve for x.

$tan 21=\frac{opposite}{adjacent} \\tan 21 =\frac{8}{x} \\0.384 =\frac{8}{x} \\0.384x =8 \\x=\frac{8}{0.384} \\x=20.84$

Since the opposite side is given and we need to find the length of the hypotenuse, we can use sine to solve for y.

$sin 21=\frac{opposite}{hypotenuse} \\sin21 =\frac{8}{y} \\0.358 =\frac{8}{y} \\0.358y=8 \\y=\frac{8}{0.358} \\y=22.32$

6 0

3 years ago

Why was the music teacher not able to open his class room?

Goryan [66]

Answer:

In what book/story gotta tell us this if you want the question answered

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

If a procedure meets all of the conditions of a binomial distribution except the number of trials is not fixed, then the geomet

Tanya [424]

Answer:

The probability that the first subject to be a universal blood donor is the seventh person selected is 0.0511

Step-by-step explanation:

Let's start defining the random variable X.

X : ''The first success is on the xth trial''

X can be modeled as a geometric random variable with the following probability function :

$P(X=x)=p(1-p)^{x-1}$

Where $P(X=x)$ is the probability of the random variable X to assumes the value ''x''.

The variable p is the success probability.

For this exercise, we define a success as someone randomly selected is a universal donor and that probability is $p=0.09$

We are looking for : $P(X=7)$

The probability function is :

$P(X=x)=(0.09)(0.91)^{x-1}$

$P(X=7)=(0.09)(0.91)^{7-1}=(0.09)(0.91)^{6}=0.0511$

6 0

4 years ago

What property is this? if -5x-1=-11, then -5x=-10

WARRIOR [948]

I believe X is equal to 2

6 0

3 years ago

Read 2 more answers

Does the point (1,√3) lie inside outside or on the circle with a center at the origin containing the point (3,0)? Question 2 opt

IceJOKER [234]

Answer:

Point $\left(1,\sqrt{3}\right)$ lies inside the circle.

Step-by-step explanation:

To determine the point which lies outside the circle, calculate the distance between the points and compare that value with radius of circle.

If d<r point lies inside the circle, d>r point lies outside circle and d=r point is on the circle.

Let O be the center of origin of the circle. So, $O=\left ( 0,0 \right )$ .

Also given that circle contain point $\left ( 3,0 \right )$ . So, $x=3,y=0$

Now equation of circle having center (h,k) is given by the equation,

$\left(x-h\right)^2+\left(y-k\right)^2=r^2$

$h=0,k=0$

Substituting the value,

$\left(3-0\right)^2+\left(0-0\right)^2=r^2$

$9=r^2$

$r=\pm 3$

Now calculate the distance between point $\left(3,0\right)$ and $\left (1,\sqrt{3}\right)$ .

Distance formula between points $\left(x_{1},y_{1}\right)$ and $\left(x_{2},y_{2}\right)$ is given as,

$d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

Now, $x_{1}=1,y_{1}=\sqrt{3},x_{2}=3,y_{2}=0$

$\therefore d=\sqrt{\left(3-1\right)^2+\left(0-\sqrt{3}\right)^2}$

Simplifying,

$\therefore d=\sqrt{\left(2\right)^2+\left(-\sqrt{3}\right)^2}$

$\therefore d=\sqrt{4+3}$

$\therefore d=\sqrt{7}$

$\therefore d=2.64$

Since r = 3 and d = 2.64. That is, d < r.

So point $\left (1,\sqrt{3}\right)$ lies inside the circle.

5 0

3 years ago