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MAVERICK [17]
3 years ago
12

Solve the equation by extracting square roots. 3(x+2)^2=8

Mathematics
1 answer:
jasenka [17]3 years ago
5 0

Answer:

47

Step-by-step explanation:

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The perimeter of an isosceles trapezoid is 28 in and the ratio of lengths of its bases is 5:3. Find the lengths of the sides of
Natalka [10]
The measurements are:
b₁ = 8.4 inches; b₂ = 14 inches; leg₁ = 2.8 inches; leg₂ = 2.8 inches

Let x = length of base and leg

The formula for perimeter of isosceles trapezoid is P = b₁ + b₂ + 2(leg)
Where: b = base

       P = b₁ + b₂ + 2(leg)
     28 = 3x + 5x + 2(x)
     28 = 8x + 2x
28/10 = 10x/10
    2.8 = x

Now, substitute the values:
       P = b₁ + b₂ + 2(leg)
     28 = 3(2.8) + 5(2.8) + 2(2.8)
     28 = 8.4 + 14 + 5.6
     28 = 28

Hence the measurements are:
b₁ = 8.4 inches; b₂ = 14 inches; leg₁ = 2.8 inches; leg₂ = 2.8 inches
8 0
3 years ago
Randy coffee shop sells a refill mug for $8.95. Each refill costs $1.50. Last month Sean spent $26.95 on a mug and refills. How
Ratling [72]

Answer:

The answer is 12

Step-by-step explanation:

Step 1: $26.95 - $8.95 (which equals $18.00)

Step 2: 18 divided by 1.50 (which equals 12)

5 0
3 years ago
Solve for x: geometry question plz help!!!
hoa [83]

Answer:

6

Step-by-step explanation:

But not too sure tho make sure of it

8 0
3 years ago
I'm stuck! help! please? ​
Alchen [17]

Answer:

x = 2

Step-by-step explanation:

2 to the second power is 4. 4 subtracted by 4 is zero.

7 0
2 years ago
Simplify (15x2 – 24x + 9) ÷ (3x – 3) = ?
larisa86 [58]
\frac{15x^{2} - 24x + 9}{3x - 3} = \frac{3(5x^{2}) - 3(8x) + 3(3)}{3(x) - 3(1)} = \frac{3(5x^{2} - 8x + 3)}{3(x - 1)} = \frac{5x^{2} - 5x - 3x + 3}{x - 1} = \frac{5x(x) - 5x(1) - 3(x) - 3(-3)}{x - 1} = \frac{5x(x - 1) - 3(x - 1)}{x - 1} = \frac{(5x - 3)(x - 1)}{x - 1} = 5x - 3
3 0
3 years ago
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