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qwelly [4]
3 years ago
5

Which expression shows how 8⋅54 can be rewritten using the distributive property

Mathematics
1 answer:
saw5 [17]3 years ago
7 0
8 * 54 = 8 * 50 + 8 * 4 = 8(50 + 4)
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A square has a perimeter of 40cm what is the length of each side​
docker41 [41]

Answer:

length of each side : 10 cm

Step-by-step explanation:

all sides of squares are equal

thus, 4 sides = 40 cm

1 side = 40/10 cm

1 side = 10 cm

5 0
3 years ago
Read 2 more answers
Work out the length of the following rectangles
tiny-mole [99]

(a) a = 10.9 cm

(b) b = 20.78 cm

(c) c = 4.06 cm

<u>Explanation:</u>

(a)

height, h = 5cm

Hypotenuse, H = 12cm

Base, a = ?

Using pythagoras theorm:

(H)² = (h)² + (a)²

(12)² = (5)² + (a)²

119 = a²

a = 10.9 cm

(b)

Hypotenuse, H = 24 cm

Base, a = 12 cm

Height, b = ?

Using pythagoras theorm:

(H)² = (b)² + (a)²

(24)² = (b)² + (12)²

432 = b²

b = 20.78 cm

(c)

height, h = 4 cm

Hypotenuse, H = 5.7 cm

Base, c = ?

Using pythagoras theorm:

(H)² = (h)² + (c)²

(5.7)² = (4)² + (c)²

16.49 = c²

c = 4.06 cm

8 0
4 years ago
Find real solutions x-(4-8x)^0.5=0
Vadim26 [7]

Answer:

There are no real roots for this equation.

Step-by-step explanation:

The only solution is irrational: x-√(4-8x)=0

I have provided a graph to help you with this problem.

Hope this helps! :)

5 0
3 years ago
What is the equation of a line passing through (5,2) and parallel to the line represented by the equation y - 2x + 1?
34kurt

Step-by-step explanation:

Im not sure if its supposed y = -2x + 1 or y = 2x + 1 but I'll solve the problem for both.

First for y = -2x + 1

Since the line has to be parallel to y = -2x + 1

the slopes would be the same.

so, so far the equation would be

y = -2x + b

now we substitute (5,2) into the equation

2 = -2(5) + b

2 = -10 + b (Add 10 to both sides of the equation)

+10 +10

12 = b

Now that we solved for b

The equation would be

y = -2x + 12

^^ This equation is parallel to y = -2x + 1

Now to solve for an equation parallel to y = 2x + 1

Both equations would have the same slope

So far we would have

y = 2x + b

Now we solve for be by substituting the point (5,2)

2 = 2(5) + b

2 = 10 + b (subtract 10 from both sides)

-10 -10

-8 = b

After solving for b

The equation is

y = 2x - 8

This equation is parallel to y = 2x + 1

4 0
3 years ago
Ariel needs to paint the trim of a triangular box. If A (-2,4), B (2,2), and C (-1, -2) are the vertices of the triangle, what i
Kisachek [45]

Total length of the trim painted is 15.75 unit.

<u>Given:</u>

  • Co-ordinate of point A = (-2,4)
  • Co-ordinate of point B = (2,2)
  • Co-ordinate of point C = (-1,-2)

<u>Find:</u>

<em>Total length</em> of the trim painted

<u>Computation:</u>

Distance between two point = √(x1 - x2)² + (y1 - y2)²

Distance between AB = √(-2 - 2)² + (4 - 2)²

Distance between AB = √16 + 4

<em>Distance between AB</em> = 2√5 unit = 4.47 unit

Distance between BC = √(2 + 1)² + (2 + 2)²

Distance between BC = √9 + 16

<em>Distance between BC</em> = 5 unit

Distance between AC = √(-2 + 1)² + (4 + 2)²

Distance between AC = √1 + 36

<em>Distance between AC</em> = √37 unit = 6.08 unit

Total length of the trim painted = 4.47 + 5 + 6.08

Total length of the trim painted = <em>15.75 unit (Approx.)</em>

Learn more:

brainly.com/question/17485880?referrer=searchResults

5 0
2 years ago
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