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pychu [463]
3 years ago
8

IWhat is the slope of the line whose equation is y-4=5/2(x-2)?

Mathematics
1 answer:
bulgar [2K]3 years ago
6 0

Answer:

5/2

Step-by-step explanation:

You slope is always <em>mx</em>

In point-slope form, your mx is just in factored form. All you need to do is distribute to find m.

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What is the lenght of PQ<br> P is 2,1<br> Q is 5,6
Elodia [21]

Answer:

7,7

Step-by-step explanation:

Possibly 7,7 becuase p+q=pq, therefor 2,1+5,6=7,7

4 0
3 years ago
A reflecting pool is shaped like a right triangle with one leg along the wall of a building. the hypotenuse is 9 feet longer tha
morpeh [17]

Answer:

Leg side along the wall = x ft = 8 ft

The other leg side = 7+x ft = 7+8=15 ft

The Hypotenuse =9+x ft = 9+8 = 17 ft

Step-by-step explanation:

In the question, the shape of the pool is right triangle.

Let the leg side along the wall to be the x ft

Let the other leg side  to be 7+x ft

Let the longest side/hypotenuse to be x+9 ft

Apply the Pythagorean relationship where the sum of squares of the legs equals the square of the hypotenuse

This means;

x^2 +(x+7)^2=(x+9)^2\\\\

Expand the terms in brackets

x^2+(x+7)^2=(x+9)^2\\\\\\x^2+x^2+14x+49=x^2+18x+81

collect like terms

x^2+x^2-x^2=18x-14x+81-49\\\\\\x^2=4x+32\\\\\\x^2-4x-32=0

solve for x in the quadratic equation by factorization

x^2-4x-32=0\\\\\\x^2-8x+4x-32=0\\\\\\x(x-8)+4(x-8)=0\\\\\\(x+4)(x-8)=0\\\\\\x+4=0,x=-4\\\\x-8=0,x=8

Taking the positive value of x;

x=8ft

Finding the lengths

Leg side along the wall = x ft = 8 ft

The other leg side = 7+x ft = 7+8=15 ft

The Hypotenuse =9+x ft = 9+8 = 17 ft

6 0
3 years ago
. Jumbo bought 5 books, each with a whole-number price.
Trava [24]

Mean is average. Multiply total books by the mean to find the total cost:

5x 10 = $50 total.

Subtract the highest and lowest prices to find the total of the remaining 3 books.

50 - 15-6 = 29

The median price was 8, this is the middle number, subtract 8 from 29 to get the cost of the last 2 books:

29-8 =21

Now you need a price lower than the median but higher than the lowest cost so that has to be 7

Subtract 7 from 21 to get the cost of the last book 21-7 = 14

The price of the remaining books is $7 and $14

3 0
3 years ago
Read 2 more answers
- m + 62m2 + 1200<br> simplified
Gekata [30.6K]
3(41x+400) simplified = 123x+1200
3 0
3 years ago
Read 2 more answers
Which expressions are equivalent to the one below? Check all that apply. 21^x/3^x
satela [25.4K]

Answer:

<em>options:  A,C,E </em>are correct.

Step-by-step explanation:

We have to find the expression equivalent to the expression:

\dfrac{21^x}{3^x}

we know that: 21^x=(3\times7)^x\\\\21^x=3^x\times7^x

Hence,

\dfrac{21^x}{3^x}=\dfrac{3^x\times7^x}{3^x}=7^x-----(1)

A)   (\dfrac{21}{3})^x= 7^x  (same as(1))

Hence, option A is correct.

B)  7 ; which is a different expression from (1)

Option B is incorrect.

C) 7^x   (Same as (1))

Option C is correct.

D) (21-3)^x=18^x   which is a different expression from (1)

Hence, option D is incorrect.

E) \dfrac{7^x\times3^x}{3^x}=7^x   ; which is same as (1)

Hence, Option E is correct.

F) 3^x  ; which is not same as expression (1)

Hence, option F is incorrect.

5 0
4 years ago
Read 2 more answers
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