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3 years ago

Use the distributive property to write an equivalent expression. 2/3 (3x - 5)

Mathematics

1 answer:

Annette [7]3 years ago

4 0

Answer:

2x - 10/3

Step-by-step explanation:

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nadezda [96]

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4 years ago

Calculate the size of angle B with working I WILL MARK YOU AS BRAINLIEST

sleet_krkn [62]

Answer:

i don't know

Step-by-step explanation:

3 0

3 years ago

In the figure, the ratio of the perimeter of rectangle ABDE to the perimeter of triangle BCD is . The area of polygon ABCDE is s

Gekata [30.6K]

Step 1

Find the perimeter of rectangle ABDE

we know that

the perimeter of rectangle is equal to

$P=2b+2h$

In this problem

$b=ED=2\ units$

$h=AE=6\ units$

substitute

$P=2*2+2*6=16\ units$

Step 2

Find the perimeter of triangle BCD

we know that

the perimeter of triangle is equal to

$P=BD+DC+BC$

In this problem we have

$BD=AE=6\ units$

$DC=BC$

Applying the Pythagoras theorem

$DC^{2}=4^{2}+3^{2}$

$DC^{2}=25$

$DC=5\ units$

substitute

$P=6+5+5=16\ units$

Find the ratio of the perimeter of rectangle ABDE to the perimeter of triangle BCD

we have

the perimeter of rectangle is equal to

$P=16\ units$

the perimeter of the triangle is

$P=16\ units$

the ratio is equal to

$\frac{16}{16} =1$

therefore

<u>the answer Part 1) is the option B</u>

$1$

Step 3

Find the area of polygon ABCDE

we know that

The area of polygon is equal to the sum of the area of rectangle plus the area of triangle

Area of rectangle is equal to

$A=AE*BD=6*2=12\ units^{2}$

Area of the triangle is equal to

$A=\frac{1}{2}AEh$

the height h of the triangle is equal to $4\ units$

substitute

$A=\frac{1}{2}(6)(4)=12\ units^{2}$

The area of polygon is

$12\ units^{2}+12\ units^{2}=24\ units^{2}$

therefore

<u>the answer part 2) is the option C</u>

$24\ units^{2}$

7 0

4 years ago

Read 2 more answers

Solve with the Quadratic Formula:

Gwar [14]

Let the width be x.
Length = 2x -1

The area of rectangle = 45 cm²

x*(2x -1) = 45

2x² -x = 45

2x² -x - 45 = 0 This is a quadratic equation

comparing to ax² + bx + c = 0, a = 2, b = -1, c = -45

x = (-b + √(b² -4ac)) / 2a or (-b - √(b² -4ac)) / 2a

x = (- -1 + √((-1)² -4*2*-45)) / 2*2 or (- -1 - √((-1)² -4*2*-45)) / 2*2

x = (1 + √(1 +360)) / 2*2 or (1 - √(1 + 360) / 2*2

x = (1 + √361) / 4 or (1 - √361) / 4

x = (1 + 19) / 4 or (1 - 19) / 4

x = 20/4 or -18/4

x = 5 or -4.5

x can't be negative since we are solving for side.

x = 5 as the only valid solution.

Recall, the width = x = 5.
Length = 2x - 1 = 2*5 - 1 = 10 - 1 = 9

Hence the length = 9cm , and width = 5cm

6 0

4 years ago

(√8)*(√10) simplified

Nitella [24]

Answer:

4√5 or 8.94427190....

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers