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Elza [17]
3 years ago
15

What is the awnser to the circled equations?​

Mathematics
1 answer:
pshichka [43]3 years ago
5 0

Answer:

y = - \frac{1}{3}x - 1

Step-by-step explanation:

We have to write an equation of a line which  passes through the given point (-9,2) and is perpendicular to the given straight line y = 3x - 12 ........... (1)

Now, equation (1) is in the slope-intercept form and the slope of the line is 3.

Let, m is the slope of the required line.

So, 3m = -1

{Since, the product of the slopes of two perpendicular straight lines is -1}

⇒ m = - \frac{1}{3}

Therefore, the equation of the required line in slope intercept form is  

y = - \frac{1}{3} x + c {Where c is a constant}

Now, this above equation passes through the point (-9,2) point.

So, 2 = -  \frac{1}{3} \times (-9) + c

⇒ 2 = 3 + c

⇒ c = - 1  

Therefore, the equation of the required straight line is y = - \frac{1}{3}x - 1 (Answer)

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PLEASE HELP ON 5,6,8,9<br> DUE TOMORROW
Elis [28]

5. You have correctly shown the decimal equivalents of the numbers in selection C. Those are in order. The decimal equivalents for selection D would be

... -1.33, -2.00, -1.00, -0.08, -0.07

The first of these is greater than the second of these, so this list is not in order. The correct choice is D.

6. √169 = 13, the only rational number in the lot. The correct choice is C.

8. All the numbers except the ones with radicals are rational numbers, so the appropriate choice is the one that lists the radicals only: G.

9. You have correctly plotted the points. When you connect them to make a geometric figure, you get a triangle that is 6 units high and 6 units wide. Its area will be half that of a square that is 6×6, so is 18 square units.

_____

The formula for the area of a triangle is

... A = (1/2)bh

where b is the base length of the triangle (6 units), and h is the height (6 units). Filling in the numbers you have, this is

... A = (1/2)·6·6 = 18 . . . . square units.

When you have a plot like this on a graph, it is usually pretty easy to see that the triangle area is half the area of a rectangle (or square) with the same height and width.

6 0
3 years ago
I need these answers ​
AVprozaik [17]

Answer:

You are correct with all of your answers so far,...

Step-by-step explanation:

5) = 0 (-17 + 20 = 3,... 3 + -3 = 0)

6) = -34 (-34 + 25 = -9,... -9 + -25 = -34)

9) = -4 (7 + -11 = -4)

Chow,...!

4 0
3 years ago
Read 2 more answers
Assume that​ women's heights are normally distributed with a mean given by mu equals 62.5 in​,and a standard deviation given by
Misha Larkins [42]

Answer:

(a) 0.5899

(b) 0.9166

Step-by-step explanation:

Let X be the random variable that represents the height of a woman. Then, X is normally distributed with  

\mu = 62.5 in

\sigma = 2.2 in

the normal probability density function is given by  

f(x) = \frac{1}{\sqrt{2\pi}2.2}\exp{-\frac{(x-62.5)^{2}}{2(2.2)^{2}}}, then

(a) P(X < 63) = \int\limits_{-\infty}^{63}f(x) dx = 0.5899

   (in the R statistical programming language) pnorm(63, mean = 62.5, sd = 2.2)

(b) We are seeking P(\bar{X} < 63) where n = 37. \bar{X} is normally distributed with mean 62.5 in and standard deviation 2.2/\sqrt{37}. So, the probability density function is given by

g(x) = \frac{1}{\sqrt{2\pi}\frac{2.2}{\sqrt{37}}}\exp{-\frac{(x-62.5)^{2}}{2(2.2/\sqrt{37})^{2}}}, and

P(\bar{X} < 63) = \int\limits_{-\infty}^{63}g(x)dx = 0.9166

(in the R statistical programming language) pnorm(63, mean = 62.5, sd = 2.2/sqrt(37))

You can use a table from a book to find the probabilities or a programming language like the R statistical programming language.

4 0
3 years ago
How is the distributive property used to expand expressions? provide an example
Pepsi [2]
Yes the distributive property is used to expand expressions, but it is also used to make it simpler.
For an example

3(x+4) + 3(y-8)
This is the same thing as
3x + 12 + 3y -8
8 0
3 years ago
What is the value for y?
Ivenika [448]
This triangle has 60 degrees already. Remember that the sum of all triangles have to be 180.
Since we have two y's we can simplify it as 2y + 60 = 180.

We can now set this up as an algebraic equation.

2y + 60 = 180
Subtract 60 from both sides.
2y = 120
Divide both sides by 2
y = 60.

Y = 60, your answer is D.)

I hope this helps!
5 0
3 years ago
Read 2 more answers
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