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rosijanka [135]
3 years ago
11

4. A dog shelter recorded the number of dogs, d, in their care as well as the pounds of dog food, f, the dogs consumed in a day.

The table represents the relationship between the number of dogs, d, and the amount of food they ate, f. Name the independent variable and the dependent variable and explain.
Mathematics
1 answer:
dem82 [27]3 years ago
7 0
Independent variable doesn’t change, dependent variable has a value that depends on another,
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The following pentagon, ABCDE is rotated about the origin 90 counterclockwise. Select the new coordinates of C and E after the
katrin2010 [14]

Answer:

its 10

Step-by-step explanation:

10 times 1 is 10

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From the quadratic equation 3x² + X - 5 = 0, find alpha square plus beta square​
timama [110]

Answer:

  α² +β² = 3 4/9

Step-by-step explanation:

Assuming α and β are solutions to the equation, it can be factored as ...

  (x -α)(x -β) = 0

Expanding this, we get ...

  x² -(α +β)x +αβ = 0

Dividing the original equation by 3, we find ...

  x² +(1/3)x -5/3 ≡ x² -(α+β)x +αβ   ⇒   (α+β) = -1/3, αβ = -5/3

We know that the square (α+β)² can be expanded to ...

  (α +β)² = α² +β² +2αβ

  α² +β² = (α +β)² -2αβ . . . . . . subtract 2αβ

Substituting the values for (α+β) and αβ, we find the desired expression is ...

  α² +β² = (-1/3)² -2(-5/3) = 1/9 +10/3 = 31/9

  α² +β² = 3 4/9

4 0
2 years ago
Copy the problems onto your paper, mark the given and prove the statements asked. Given: marked Prove: ΔABC ≅ ΔDBC, ΔEHF ≅ ΔGHF
hjlf

The proof is given below. Please go through it.

Step-by-step explanation:

To solve Δ ABC ≅ Δ DBC

From Δ ABC and Δ DBC

AB = BD (given)

AC = CD (given)

BC is common side

By SSS condition Δ ABC ≅ Δ DBC ( proved)

To solve Δ EHF ≅ Δ GHF

Δ EHF and Δ GHF

EH = HG ( given)

∠ EFH = ∠ GFH ( each angle is 90°)

HF is common side

By RHS condition

Δ EHF ≅ Δ GHF

7 0
3 years ago
List three integers and their opposites?
gulaghasi [49]
-1 1, -2 2, 3 -3. Is this what you wanted? If no tell me in comments and maybe a can help fix.
4 0
2 years ago
Read 2 more answers
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