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ad-work [718]
3 years ago
11

determine the equation of the quadratic function gievn its roots, by using the algebraic method: {8, 3}

Mathematics
1 answer:
strojnjashka [21]3 years ago
5 0

Answer: y = x^2 - 11x + 24

Step-by-step explanation:

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80 marked up by 37.5 percent
Mariana [72]
Make 37.5% into decimal form : Since it is being marked up, add 100% = 1.375
1.375 x 80
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_________
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+11000
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80 marked up by 37.5% is 110.
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3 years ago
William made 1/2 gallon of lemonade to divide equally among 3 people. How much lemonade will each person?
katovenus [111]
<span>a) 1/6 gallon all u need to do is divide</span>
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3 years ago
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A 100 - foot fence is used to enclose a rectangular land plot. If the area of the land plot is 456 square feet, which equation c
quester [9]

Answer:

x^2-50x+456=0

Step-by-step explanation:

GIVEN: A 100\text{ foot} fence is used to enclose a rectangular land plot. If the area of the land plot is 456\text{ feet}^2.

TO FIND: equation to determine the length x of the land plot.

SOLUTION:

total length of fence =100\text{ foot}

let the width of land plot be y

perimeter of plot =2(x+y)=100

                            x+y=50

area of rectangular plot =\text{length}\times\text{breadth}

                                       xy=456

                                      y=\frac{456}{x}

putting value of y

x+\frac{456}{x}=50

x^2-50x+456=0

Hence required equation to get length x of land plot is x^2-50x+456=0

on solving

x=38,12

possible length of land plot is 38\text{ foot} and 12\text{ foot}

6 0
3 years ago
How is it that a square is a rectangle but a rectangle ins't a square?
Helen [10]
Beacuse  <span>A square by definition is a "plane figure having four equal sides." Rectangles' sides are not equal and hence cannot be a square. 

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5 0
3 years ago
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The following set of coordinates most specifically represents which figure? (−5, 6), (−1, 8), (3, 6), (−1, 4) (6 points) Paralle
Vladimir [108]

Answer:

Rhombus

Step-by-step explanation:

The given points are A(−5, 6), B(−1, 8), C(3, 6), D(−1, 4).

We use the distance formula to find the length of AB.

|AB|=\sqrt{(-1--5)^2+(8-6)^2}

|AB|=\sqrt{16+4}

|AB|=\sqrt{20}

The length of AD is

|AD|=\sqrt{(-1--5)^2+(6-4)^2}

|AD|=\sqrt{16+4}

|AD|=\sqrt{20}

The length of BC is:

|BC|=\sqrt{(-1-3)^2+(8-6)^2}

|BC|=\sqrt{16+4}

|BC|=\sqrt{20}

The length of CD is

|CD|=\sqrt{(-1-3)^2+(6-4)^2}

|CD|=\sqrt{16+4}

|CD|=\sqrt{20}

Since all sides are congruent the quadrilateral could be a rhombus or a square.

Slope of AB=\frac{8-6}{-1--5}=\frac{1}{2}

Slope of BC =\frac{8-6}{-1-3}=-\frac{1}{2}

Since the slopes of the adjacent sides are not negative reciprocals of each other, the quadrilateral cannot be  a square. It is a rhombus

7 0
3 years ago
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