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GarryVolchara [31]
3 years ago
10

Zoe had a board 5 1/4 feet long she cut off a piece now the board is 3 5/6 feet long how long was the piece she cut off

Mathematics
1 answer:
11Alexandr11 [23.1K]3 years ago
7 0

5 1/4-3 5/6=1 5/12

Hope this helped!!! :P

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Hi. I need help with these<br> See image for question<br> Answer no 8 ,9 and 10
Nezavi [6.7K]

Answer:

  • 8) 4 + 2q²/p² - 4r/p + r²/p²
  • 9) (3/4, -9/4)
  • 10) (3/8, 41/16)

Step-by-step explanation:

8. ============

Given

  • α and β are roots of px² + qx + r = 0

The sum of the roots is α + β = -q/p, the product of then roots αβ = r/p

  • (2 + α²)(2 + β²) =  
  • 4 + 2(α² + β²) + (αβ)² =
  • 4 + 2((α + β)² -2αβ) + (αβ)² =
  • 4 + 2((-q/p)² - 2r/p) + (r/p)² =
  • 4 + 2q²/p² - 4r/p + r²/p²

------------------------------

9. ============

<u>Given function</u>

  • y = 2x² - 3x - 1

The minimum point is reached at vertex

<u>The vertex is:</u>

  • x = -b/2a
  • x = -(-3)/2*2 = 3/4

<u>The corresponding y-coordinate is:</u>

  • y = 2(3/4)² - 3(3/4) - 1 = 9/8 - 9/4 - 1 = 1/8(9 - 18 - 9) = - 18/8 = - 9/4

<u>So the point is: </u>

  • (3/4, -9/4)

---------------

10. ============

<u>Given function</u>

  • y = 2 - 3x - 4x²

The maximum is reached at vertex

<u>The vertex is:</u>

  • x = -b/2a
  • x = -(-3)/2(-4) = -3/8

<u>The corresponding y-coordinate is:</u>

  • y = 2 - 3(-3/8) -4(-3/8)² = 2 + 9/8 - 9/16 = 1/16(32 + 18 - 9) = 41/16

<u>So the maximum point is:</u>

  • (3/8, 41/16)

4 0
2 years ago
The total area of the polygon is 176 square feet. Find the value of x.
My name is Ann [436]

Answer:

x = 6 ft

Step-by-step explanation:

Total area of the given polygon = Area of triangle 1 + Area of rectangle 2 + Area of triangle 3

Area of triangle 1 = Area of triangle 3 = \frac{1}{2}(\text{Base})(\text{Height})

                                                              = \frac{1}{2}(x)(8)

                                                              = 4x square feet

Area of rectangle 2 = Length × Width

                                 = 16 × 8

                                 = 128 square feet

Total area of the given polygon = 4x + 128 + 4x

176 = 8x + 128

8x = 176 - 128

x = \frac{48}{8}

x = 6 ft

5 0
3 years ago
Read 2 more answers
Anna has made 30 chocolate chip cookies and 54 sugar cookies. She wants to put them in bags for her friends with the same number
NARA [144]

Answer:

Therefore the greatest number of cookies she can put each bag is 14.

Step-by-step explanation:

Given that Anna has made 30 chocolate chip cookies and 54 sugar cookies.

First we have to find out the number of fried or the number of bags.

So to find the number of bags, We need to find out the G.C.D of 30 and 54.

30=5×3×2

54=3×3×3×2

The common divisor of 30 and 54 is = 3×2 = 6

∴The  G.C.D of 30 and 54 is 6.

The number of bags is 6.

The number of chocolate cookies each bags is

=(The number of chocolate cookies÷ 6)

=30÷6

=5

The number of sugar cookies each bags is

=(The number of sugar cookies÷ 6)

=54÷6

=9

Therefore the greatest number of cookies she can put each bag is (5+9)=14.

5 0
3 years ago
(-7)•(-7) • 5•5•5•5 using exponents
kramer

Answer:

what grade level

Step-by-step explanation:

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3 years ago
A 2b (3 a 2 + 4 ab 2 )
Gala2k [10]

Answer:

You should get 13

Step-by-step explanation:

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3 years ago
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