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lina2011 [118]
3 years ago
15

Use the quadratic equation

="x^{2} -22x=75" align="absmiddle" class="latex-formula"> to answer the following questions. Part A: Suppose an equivalent quadratic equation is written: x^{2}-22x+c=75+c .What value of c would make the equation a perfect square trinomial? Part B: Rewrite the equation in the form (x-h)^{2} +k=0 . Part C: Solve the Quadratic equation to find the positive solution for x. x =___. Part D: Solve the Quadratic equation to find the negative solution for x. x =___.
Mathematics
1 answer:
kirill115 [55]3 years ago
3 0

Answer:

A = 121

B =  (x-11)^2-196=0

C = 25

D = -3

Step-by-step explanation:

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The area of a rectangular field is 7371 m2. If the length of the field is 91 meters, what is its width?
Lunna [17]

Answer:

81 m

Step-by-step explanation:

From the question given above, the following data were obtained:

Area (A) = 7371 m²

Length (L) = 91 m

Width (W) =?

Area of a rectangle is given by the following equation:

Area = Length × Width

A = L × W

With the above formula, we can obtain the width of the rectangular field as follow:

Area (A) = 7371 m²

Length (L) = 91 m

Width (W) =?

A = L × W

7371 = 91 × W

Divide both side by 91

W = 7371 / 91

W = 81 m

Thus, width of the rectangular field is 81 m

4 0
3 years ago
A rectangular piece of metal is 20 in longer than it is wide. Squares with sides 4 in long are cut from the four corners and the
Misha Larkins [42]

Answer:

Step-by-step explanation:

This is good!  The length of the metal is 20 inches longer than the width.  But we fold up 4-inch flaps on each side, so the height of the box is 4 inches, and the length and width will each decrease by 8 inches (4 inches on each side).  Since the length and width decrease by the same amount, the length will still be 20 inches longer than the width.  So the equations would be:

l = w + 20

vol = l x w x h = 1716 in3

1716 = (w + 20)(w)(4)

1716 = 4w2 + 80w

4w2 + 80w - 1716 = 0

4(w2 + 20w - 429) = 0

4(w + 33)(w - 13) = 0

w + 33 = 0, so w = -33

w - 13 = 0, so w = 13

Since the width can't be negative, the width of the box is 13 and the length is 33 (13 + 20).

But remember, the length and width of the piece of metal are each 8 inches longer than the box, so it was 41 inches by 21 inches.

7 0
3 years ago
Bob and mark talk about their families. Bob says he has 3 kids, the product of their ages is 72. He gives another clue: the sum
taurus [48]
I can only give possible combinations of the ages. This is because only the product is given. Had the sum of all ages been given, possible combinations would boil down into 1 combination.

3 kids with a youngest. This means that the ages are not the same.
We do prime factorization to get the age combination.

72 ÷ 2 = 36
36 ÷ 2 = 18
18 ÷ 2 =   9
  9 ÷ 3 =   3
  3 ÷ 3 =   1

1 x 2 x 2 x 2 x 3 x 3 = 72

Possible combination with no repeating number.

1 x 8 x 9 = 72
2 x 4 x 9 = 72
4 x 6 x 3 = 72
1 x 6 x 12 = 72
4 0
3 years ago
can someone explain why it keeps saying my comments violate guidelines when i don’t say anything that shouldn’t be said?
Likurg_2 [28]

Answer:

Step-by-step explanation:

i think it’s just a glitch i keep getting those messages because i answered a question that got deleted

4 0
2 years ago
Read 2 more answers
Evaluate the sum of 9.1 and 368.8.​
NARA [144]

Answer:

377.9

Step-by-step explanation:

368.8 + 9.1 = 377.9

3 0
2 years ago
Read 2 more answers
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