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Artyom0805 [142]
3 years ago
12

The equation of line CD is y = -2x - 2. What is the equation of a line parallel to line CD in slope-intercept form that contains

point (4,5)?
Mathematics
2 answers:
castortr0y [4]3 years ago
6 0

Answer:

y=-2x+13

Step-by-step explanation:

Slope-intercept form of a line is y=mx+b where m is slope and b is y-intercept.

The slope of y=-2x-2 is -2 since m=-2.

A line that is parallel to the given line is going to have the same slope.

So we already know the equation we are looking for should be in the form y=-2x+b.

We just to need to find b.

We can use the given point on our line do that.

5=-2(4)+b

5=-8+b

8+5=b

13=b

So the equation is y=-2x+13.

yawa3891 [41]3 years ago
4 0

Answer:

y = -2x+13

Step-by-step explanation:

The slope of the original line is -2 so you take that and plug it in with the points (4,5) in point slope form to get y-5 = -2(x-4), then you simplify to get      y-5 = -2x+8 then y = -2x+13

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The length of a rectangular prism is 12 inches, and its width is 8 inches. The height of the prism is 16 inches. What is the sur
finlep [7]

Answer:

The answer to your question is letter B

Step-by-step explanation:

Data

length = 12 in

width = 8 in

height = 16 in

surface area = ?

Formula

Surface area = 2( length x width) + 2(length x height) + 2((width x height)

Substitution

Surface area = 2(12 x 8) + 2(12 x 16) + 2(8 x 16)

Simplification

Surface area = 256 + 384 + 102

Result

Surface area = 832 in²

7 0
3 years ago
Brenda has $500 in her bank account Every week, she withdraws $40 for expeses. Without making any deposits, how many weeks can s
timofeeve [1]

Answer:

7 weeks

Step-by-step explanation:

500-200=300. 300 divided by 40 is 7.5 so 7 weeks

3 0
3 years ago
Standard deviation of a normal data distribution is a _______. Group of answer choices
FrozenT [24]

Answer:

Standard deviation of a normal data distribution is a measure of data dispersion.

Step-by-step explanation:

Standard deviation is used to measure dispersion which is present around the mean data.

The value of standard deviation will never be negative.

The greater the spread, the greater the standard deviation.

Steps-

1. At first, the mean value should be discovered.

2.Then find out the square of it's distance to mean value.

3.Then total the values

4.Then divide the number of data point.

5.the square root have to be taken.

Formula-

SD=\sqrt{\frac{(\sum{x-x)^2}  }{n-1}

   Advantage-

It is used to measure dispersion when mean is used as measure of central tendency.

5 0
3 years ago
50 POINTS!!! Plz show work questions are in the addon
emmasim [6.3K]

1. Each term in this polynomial has a common factor of 3x^3:

12x^6-9x^4+18x^3=3x^3(4x^3-3x+6)

2. Not sure what the "vertical method" is, but I would guess it refers to some way of visualizing the distributive property.

(3x-5)(2x^2+7x-3)=3x(2x^2+7x-3)-5(2x^2+7x-3)

(3x-5)(2x^2+7x-3)=(6x^3+21x^2-9x)+(-10x^2-35x+15)

(3x-5)(2x^2+7x-3)=6x^3+11x^2-44x+15

3. You can use the same approach as in (2), or recall that (a+b)^2=a^2+2ab+b^2:

(5x-4y)^2=(5x)^2+2(5x)(-4y)+(-4y)^2

(5x-4y)^2=25x^2-40xy+16y^2

4. Recall that a difference of squares can be factored as a^2-b^2=(a-b)(a+b). So

(2x^2-7)(2x^2+7)=(2x^2)^2-7^2

(2x^2-7)(2x^2+7)=4x^4-49

7 0
3 years ago
Delia went to the market to buy 4 pounds of sliced fruit in a container. She paid with a $20 bill and a $5 bill and received $3.
Mekhanik [1.2K]

Answer:

$4.57. Hope this helps :)

Step-by-step explanation:

20+5=25      

then you do

25-3.67= $21.33

you then divide that by the number of pounds she bought.

21.33/4= 5.3325

round that to the hundreths place and you get $5.33

so she paid $5.33 for a pound

5 0
3 years ago
Read 2 more answers
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