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Anestetic [448]
3 years ago
6

Find the gradient of the line segment between the points (3,2) and (2,5).

Mathematics
1 answer:
LiRa [457]3 years ago
4 0

The answer is -3.

5-2/2-3 = -3

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In rectangle ANHG, whose perimeter is 100, OP, PQ, and QR are congruent and mutually perpendicular and O is the midpoint of AN.
MariettaO [177]

Answer:

5

Step-by-step explanation:

The sum of adjacent sides of the rectangle is half the perimeter, 50, so ...

... AH = 50-40 = 10

Then ...

... OP +QR = 10 = 2×OP . . . . . QR ≅ OP

... OP = 5 = PQ . . . . . . . . . . . . PQ ≅ OP

6 0
3 years ago
Read 2 more answers
If sally drives to work 25% faster than she did yesterday, what would be her
dedylja [7]

Answer:

50 percent

Step-by-step explanation:

because sally was tried yesterday and went 25 percent faster today.

6 0
3 years ago
Describe how you know that (8+9)+3 is equivalent to 8+(9+3). What is the benefit to using this property
NISA [10]

Answer:

Associative property of addition

Step-by-step explanation:

The associative property of addition is as follows :

a+(b+c) = (a+b)+c

We have,

a = 8, b = 9 and c = 3

So,

Using above property,

(8+9)+3 = 8+(9+3)

20 = 20

Hence, this is the required solution.

7 0
3 years ago
Peter needs to build a fence around his small garden. The length of the fence can be no more than 10 ft., and he has 50 ft. of f
dsp73

Answer:

A backyard farmer wants to enclose a rectangular space for a new garden. She has purchased 80 feet of wire fencing to enclose 3 sides, and will put the 4th side against the backyard fence. Find a formula for the area enclosed by the fence if the sides of fencing perpendicular to the existing fence have length

L.

In a scenario like this involving geometry, it is often helpful to draw a picture. It might also be helpful to introduce a temporary variable,

W, to represent the side of fencing parallel to the 4th side or backyard fence.

Since we know we only have 80 feet of fence available, we know that

L + W + L = 80, or more simply, 2L + W = 80. This allows us to represent the width, W, in terms of L: W = 80 – 2L

Now we are ready to write an equation for the area the fence encloses. We know the area of a rectangle is length multiplied by width, so

A = LW = L(80 – 2L)

A(L) = 80L – 2L2

This formula represents the area of the fence in terms of the variable length

L.

Step-by-step explanation:

it's in the answer

6 0
3 years ago
The median salary for the Dallas Cowboys was $441,300 in 2000 and $1,326,720 in 2008. Write a linear equation giving the median
maksim [4K]

 

The linear equation that is asked from the problem takes the form of:

y = m x + b

where,

y = the median salary

x = the number of years

m = the slope of equation

b = y-intercept

 

The slope of the equation (m) can be calculated using the formula:

m = (y2 – y1) / (x2 – x1)

m = (1326720 – 441300) / (2008 – 2000)

m = 110,677.5

 

The y-intercept is then obtained by using any of the data pair:

441300 = 110677.5 (2000) + b

b = -220913700

 

Therefore the complete equation is:

y = 110677.5 x – 220913700

 

The median salary in 2016 is therefore:

y = 110677.5 (2016) – 220913700

y = $2,212,140



Answer: 

$2,212,140

4 0
4 years ago
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