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3 years ago

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
1.375
x 80
_________
0000
+11000
_________
110.000

80 marked up by 37.5% is 110.

7 0

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>

8 0

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.

A rectangle by definition is a "four-sided plane figure with 4 right angles" - which also implies that a square can be a rectangle because it is also a four-sided plane figure with 4 right angles...... hope this helps</span>

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.

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