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3 years ago

How to find the answer of passes through (8,-4), slope=1/2

1 answer:

8 0

Y=mx + b where b is y intercept and m is the slope. So what we need to do is to plug in the slope and the y and x values from the point. So, -4=1/2 times 8 + b. =-4=4+b. Now let's solve for be. -4-4=-8. b=-8. To verify, 4-8 is -4, so this statement is true. Now let's plug our values. y=1/2x-8. So therefore our answer will be y=1/2x-8.

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g A probability experiment is conducted in which the sample space of the experiment is Upper S equals StartSet 9 comma 10 comma

Mars2501 [29]

Answer:

$P(E^c)=\dfrac{1}{3}$

Step-by-step explanation:

The sample space for the experiment is:

$S=\{9,10,11,12,13,14,15,16,17,18,19,20\}$

Number of elements in S, n(S)=12

Given an event E such that:

$E=\{10,11,12,13,14,15,16,17\}$

Number of elements in E, n(E)=8

The outcomes in the complement of E are the outcomes in S that are not in E.

$E^c=\{9,18,19,20\}$

Number of elements in the complement of E, $n(E^c)=4$

Therefore:

$P(E^c)=\dfrac{n(E^c)}{n(S)}\\ =\dfrac{4}{12}\\P(E^c)=\dfrac{1}{3}$

8 0

3 years ago

Choose A B C or D

zalisa [80]

Answer:

Option D

Step-by-step explanation:

From the picture attached,

m∠K ≅ m∠C [Given]

m∠L = m∠D [Given]

By AA property of similarity,

Both the triangles ΔDEC and ΔLMK are the similar triangles.

Option D will be the correct option.

3 0

3 years ago

The acid desert of the business on the March 31 2015 are worth rupees 500000 and its capital is rupees 350000 and its liabilitie

kifflom [539]

Assets = Liabilities + Capital

Liabilities = Assets - Capital

Liabilities = 50,000 - 35000

Liabilities = 15,000

5 0

4 years ago

The length of a rectangle is

melomori [17]

Answer:

L= 11 m and W = 2 m

Step-by-step explanation:

Let's convert the sentences into mathematical expressions, for which we need to assign letters to the unknowns: length and width of a rectangle.

Let's identify the rectangle's length with the letter "L', and its width with the letter "W".

Then we can write:

"The length of a rectangle is 3 meters more than 4 times the width."

as: L = 4 * W + 3

The second sentence says:

"The area (of the rectangle) is 22 square meters", so to write this in mathematical terms we need to recall the formula for the area of a rectangle:

Area = Length * Width (the product of the rectangle's length times its width)

Therefore the second sentence can be converted into the following equation:

Area = L * W = 22

Now we can use the first mathematical expression we constructed in the second formula so we can reduce the number of unknowns from two (L and W) to only one (W) and solve for it in the equation.

We replace "L" with 4 * W + 3 (from our first expression) in the area formula:

L * W = (4 * W + 3) * W = 22

$4W^2 + 3W = 22\\4W^2+3W-22=0$

Which is a quadratic equation in W, and which has solutions given by the quadratic formula:

$ax^2+bx+c=0\\$

$x=\frac{-b+/- \sqrt{b^2-4ac} }{2a}$

For our unknown W (instead of "x") and our parameters:

$a=4, b=3, c=-22$

the quadratic formula would be:

$W=\frac{-3+/- \sqrt{3^2-4(4)(-22)} }{2(4)}=\frac{-3+/- \sqrt{9+352} }{8}= \frac{-3+/- \sqrt{361} }{8}=\frac{-3+/-19 }{8}$ This gives as two possible solutions (one using the plus and the other using the minus):

$W=\frac{-3-19}{8} =\frac{-22}{8}=-\frac{11}{4} \\W=\frac{-3+19}{8} =\frac{16}{8}=2 \\$

the negative answer has no physical meaning in our case because we are dealing with positive dimensions for a rectangle. Therefore the only logical solution for W is: 2 meters

Now we use the first expression we found for "L" to find its value:

L = 4 (2) +3 = 8 + 3 = 11 meters

7 0

4 years ago

Logan, a sales clerk in a book store, earns a base salary of $1,700 per month plus a commission of 5 percent on monthly sales ov

shepuryov [24]

1,700+.05(X-600)=2,100
-1700. -1700
.05(X-600)= 400
.05x-30 =400
+30=+30

.05x=. 430
Divided by .05
X=. 8,600

5 0

4 years ago