The endpoints of a side of rectangle ABCD in the coordinate plane are at A (3,9) and
B(5, 1). Find the equation of the line that contains the given segment.
The line segment is CD and point C is at (9,2).
The equation is

Answer:

nanogon have 27 diagnals

Answer:

a. y-intercept = 23350 and x-intercept = 13

b. [tex]m = -\frac{23350}{13}[/tex]

c. [tex]y = -\frac{23350}{13}x + 23350[/tex]

Step-by-step explanation:

Given

[tex]Years = 13[/tex]

[tex]Total\ depreciation = \$23350[/tex]

Solving (a): The x and y intercepts

The y intercept is the initial depreciation value

i.e. when x = 0

This value is the value of the car when it was initially purchased.

Hence, the y-intercept = 23350

The x intercept is the year it takes to finish depreciating

i.e. when y = 0

From the question, we understand that it takes 13 years for the car to totally get depreciated.

Hence, the x-intercept = 13

Solving (b): The slope

The slope (m) is the rate of depreciation per year

This is calculated by dividing the total depreciation by the duration.

So:

[tex]m = \frac{23350}{13}[/tex]

Because it is depreciation, it means the slope represents a deduction.

So,

[tex]m = -\frac{23350}{13}[/tex]

Solving (c): The straight line equation

The general format of an equation is:

[tex]y = mx + b[/tex]

Where

[tex]m = slope[/tex]

[tex]b = y\ intercept[/tex]

In (a), we have that:

[tex]y\ intercept = 23350[/tex]

In (b), we have that:

[tex]Slope\ (m) = -\frac{23350}{13}[/tex]

Substitute these values in [tex]y = mx + b[/tex]

[tex]y = -\frac{23350}{13}x + 23350[/tex]

Hence, the depreciation equation is: [tex]y = -\frac{23350}{13}x + 23350[/tex]

100 miles

100 miles

100 miles

100 miles 100 miles

100 miles ok?

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The line of reflection has a slope of -1/2, so each image point will be on a line of slope 2 through the corresponding pre-image point. It may be easiest to count the grid squares between the pre-image point and the line, then again from the line to the location of the image point. Those distances will be the same.

The reflected image is shown in the first attachment.

__

If you want to do this algebraically, the formulas for finding the reflected points are given in the second attachment. For the given line, these become ...

  (x, y) ⇒ (4/5 + 3/5x -4/5y, 8/5 - 4/5x - 3/5y)

Example:

  C(-3, -5) ⇒ ((4 +3(-3) -4(-5))/5, (8 -4(-3) -3(-5))/5) = (15/5, 35/5) = C'(3, 7)

Answer:

35 Calories

Step-by-step explanation:

15 is 1/4 of 60

60/15 = 4

140/4 = 35

Since 15 is 1/4 the size of 60, the number of calories will be 1/4 the amount as well. That is why you divide 140 by 4 to find the total calories for the mass of 15.

Answer:

16 cd racks

Step-by-step explanation:

1,440%90

Answer:

b

Step-by-step explanation:

this is for the 20 characters thing

Answer:

No one because They bought the same amount. 2/4 is equvalent to 1/2, meaning they both are half a pound. :)

Step-by-step explanation:

If this helps pls mark me brainliest

Have a great day :)

Answer:

x + 3

Step-by-step explanation:

Answer:

3m^4

Step-by-step explanation:

x^y

x is the base and y is the exponent

Answer:

Venn Diagram

Step-by-step explanation:

Its a graph that's used in listing similarities and differences the other two aren't graphs but math terms

Answer: A

Step-by-step explanation:

Answer:

Its b

Step-by-step explanation:

Answer:

126

Step-by-step explanation:

70+56

Answer:

The probability that the weight of a randomly selected pilot is between 120 lbs. and 161 lbs. is 0.52.

Step-by-step explanation:

Let X = weight of pilots.

It is provided that X follows a normal distribution with mean, μ = 130 lbs. and standard deviation, σ = 27.3 lbs.

Compute the probability that the weight of a randomly selected pilot is between 120 lbs. and 161 lbs. as follows:

[tex]P(120<X<161)=P(\frac{120-130}{27.3}<\frac{X-\mu}{\sigma}<\frac{161-130}{27.3})\\\\=P(-0.37<Z<1.14)\\\\=P(Z<1.14)-P(Z<-0.37)\\\\=0.87286-0.35569\\\\=0.51717\\\\\approx 0.52[/tex]

Thus, the probability that the weight of a randomly selected pilot is between 120 lbs. and 161 lbs. is 0.52.

Answer:

x= -5

Step-by-step explanation:

3х - 4<-19=

add +4 to both sides

3x<-15

divide 3 on both sides

x<-5

might have to rewrite the final answer

Answer:

0.533 miles/min

Step-by-step explanation:

Calculate how fast  the balloon is rising at the moment : dy /dt

location from the lift-off point = 4 miles

angle between the observer's line-of-sight and the horizontal ( ∅ )  = [tex]\frac{\pi }{6}[/tex]

d∅ / dt = 0.1 rad/min

tan ∅ = y / 4

derivate

sec^2 ∅ . d∅ / dt  = 1/4 . dy/dt

= sec^2 [tex]\frac{\pi }{6}[/tex] . 0.1 = 1/4 . dy/dt

= ( sec^2 0.5238 * 0.1 ) * 4 = dy/dt

dy/dt = 8 / 15  miles/min

Answer: AP= 30 kgm/s c) Calculate the final velocity of the object, if it was initially at rest. A 0.5kg baseball experiences a 10N force for a duration of 0.1s.

Step-by-step explanation:

(5,-2)

that's all. up and down basically means that the point is moving along the x axis.

Answer:

4.5

Step-by-step explanation:

2+1=3

2/3+5/6=1.5

3+1.5=4.5

Answer:

The equation of the line that is parallel to given line and passes through the point (-8, -3) is: [tex]y = 5x+37[/tex]

Step-by-step explanation:

Given equation of line is:

[tex]y=5x-3[/tex]

The general form of equation of line in slope-intercept form is written as:

[tex]y = mx+b[/tex]

Here m(co-efficient of x) is the slope of the line and b is the y-intercept.

Comparing the given equation with the general form we get

m = 5

Two parallel lines have same slope so the slope of any line parallel to given line will also be 5.

Let m1 be the slope of required line parallel to y=5x-3

Then m1=5

Putting in general form

[tex]y = m_1x+b[/tex]

[tex]y=5x+b[/tex]

To find the value of b(y-intercept) the given point has to be put in the equation from which the line passes.

The point is (-8,-3)

[tex]-3 = 5(-8)+b\\-3 = -40+b\\b = -3+40\\b = 37[/tex]

Putting the value of b and m1, we get

[tex]y = 5x+37[/tex]

Hence,

The equation of the line that is parallel to given line and passes through the point (-8, -3) is: [tex]y = 5x+37[/tex]

Answer: $1.75

Step-by-step explanation:

Increase 1.25 by 4.25

5.31

Presently increase 1.25 by 2.85

3.56

Take away 3.56 from 5.31

1.75

Answer:

Beef= 5.75

Turkey=4.35

Beef cost is $1.40 more than turkey.

Step-by-step explanation:

Answer:

more

Step-by-step explanation:

brainliest please

Answer: the answer is 100000000

Step-by-step explanation: that is that because 10 to the 4th power is 10000 times 10000 is 100000000

Answer:

8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

First Of All We Have Factorize These Two Numbers And Then We Will Find Their Highest Common Factor

16–2×2×2×2

24–2×2×2×3

So The Highest Common Factor is 8

That's Because Both Can be Divided by 8 and 8 is their Highest Common diviser.

Hope This Helps