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marta [7]
3 years ago
14

A rectangle has a base of 2 yd and a height of 5 ft. Find the area of the rectangle.

Mathematics
1 answer:
sladkih [1.3K]3 years ago
7 0
Area of a rectangle = b*h... so 6ft*5ft = 30 ft^2
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This graph represents a linear function. Enter an equation in the form y = mx + b that represents the function.
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4/1x plus 2

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There are 4 red balls, 6 white balls, and 3 green balls in a bag. If one ballis drawn from the bag at random, what is the probab
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What are the coordinates of the point on the directed line segment from (-2, -5)(−2,−5) to (7, 10)(7,10) that partitions the seg
mrs_skeptik [129]

Given:

The directed line segment from (-2, -5) to (7, 10).

A point partitions the segment into a ratio of 2 to 1.

To find:

The coordinates of that point.

Solution:

Section formula: If a point divides a line segment in m:n, then the coordinates of that point are

Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)

The point divides the line segment from (-2, -5) to (7, 10) in 2:1.

Using section formula, we get

Point=\left(\dfrac{2(7)+1(-2)}{2+1},\dfrac{2(10)+1(-5)}{2+1}\right)

Point=\left(\dfrac{14-2}{3},\dfrac{20-5}{3}\right)

Point=\left(\dfrac{12}{3},\dfrac{15}{3}\right)

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6 0
3 years ago
Help me please I will mark as brainlist ​
Mazyrski [523]

Answer:

\frac{ \alpha  +  \beta  +  \gamma }{ - d}

Step-by-step explanation:

If we simplify that fraction, we get

\frac{ \alpha  +  \beta  +  \gamma }{ \alpha  \beta  \gamma }

Keep that in mind.

If y, a ,b are zeroes of the cubic polynomial, then that means

(x -  \alpha )(x -  \beta )(x -  \gamma )

make up the polynomial.

Notice that leading xoeffeicent will be 1, so the roots will multiply to

- d

so

\alpha  \beta  \gamma  =  - d

which gives us

\frac{ \alpha +   \beta +   \gamma }{ - d}

Proof:

Consider the function

(x - 2)(x - 3)(x - 5)

The roots are 2, 3, 5.

D is -30 so we get

Using the value,

\frac{2 + 3 + 5}{ 30}  =  \frac{1}{3}

If we use the orginal equation, we get

\frac{1}{6}  +  \frac{1}{10}  +  \frac{1}{15}  =  \frac{10}{30}  =  \frac{1}{3}

6 0
2 years ago
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