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aleksandr82 [10.1K]
3 years ago
11

1 A rectangular pool in your friend's yard is 150 ft. X 400 ft. Create a scale drawing with a scale factor of Use a table or an

6001 equation to show how you computed the scale drawing lengths.​
Mathematics
1 answer:
svlad2 [7]3 years ago
4 0
You could divide both sides by two to get a rectangle that is 75 by 200
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Determine the equation of the altitude from A.
Rudik [331]

Answer:

y = - 3x + 11

Step-by-step explanation:

the altitude is a line from the vertex A drawn perpendicular to the opposite side BC

calculate the slope of BC using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = B (- 7, 3 ) and (x₂, y₂ ) = C (- 1, 5 )

m_{BC} = \frac{5-3}{-1-(-7)} = \frac{2}{-1+7} = \frac{2}{6} = \frac{1}{3}

given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{\frac{1}{3} } = - 3

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept ) , then

y = - 3x + c ← is the partial equation

to find c substitute A (4, - 1 ) into the partial equation

- 1 = - 12 + c ⇒ c = - 1 + 12 = 11

y = - 3x + 11 ← equation of altitude from A

7 0
2 years ago
Please help! :)
Aleks [24]

Answer:

<h3><u>Part A.</u> 5n</h3>

<h3><u>Part B.</u> 5n (2n –3) ( n + 2x)</h3>

Step-by-step explanation:

<u>A. Ans ; </u>

10n³ – 15 n² + 20 xn² – 30 xn

Factors ; 10 —> 10 , 5 , 2 , 1

Factors ; 5 —> 5 , 1

Factors ; 20 —> 20 , 10 , 5 , 4 , 2 , 1

Factors ; 30 —> 30 , 15 , 10 , 6 , 5 , 3 , 2, 1

The greatest common factor of numbers is ; 5

n³—> n , n , n

n² —> n , n

xn² —> x , n , n

xn —> x , n

The greatest common factor of the variables is ; n

<h3>So ; Greatest common factor : 5n</h3>

<u>B . Ans ;</u>

10 {n}^{3}  - 15 {n}^{2}  + 20x {n}^{2}  - 30xn \\ 5n(2 {n}^{2}  - 3n + 4xn - 6x) \\ 5n(2n - 3)(n + 2x)

I hope I helped you^_^

8 0
3 years ago
What is 7/10 times 8/21 in simplest form? Show work
Soloha48 [4]
Multiply the numerators: 7×8=56 then the denominators 10×21=210. The lowest multiples for 56 and 210 is 14. So divide 56/14=4 and 210/14=15. Your answer is 4/15.

Hope this helps (:
5 0
4 years ago
Which expressions are equal to 3/5 × 6
ki77a [65]

Answer:

A & C & D

Step-by-step explanation:

A & C & D both show the commutative property of multiplication and therefore is the correct answer because 3/5(6) = 18/5 and 3(6/5) is also 18/5.

3 x (6÷5) is also 18/5

(3×6)÷5 is also 18/5

7 0
3 years ago
Find the surface area of the composite solid.
Katarina [22]

Answer:

343.6 meters cubed

Step-by-step explanation:

28+96+96+96+27.6=343.6

7 0
3 years ago
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