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Bumek [7]
3 years ago
14

The top of a picnic table has a width represented by 2x in inches. It has an area represented by the expression 6x2 – 14x in squ

are inches. Which expression represents the length of the top of the picnic table? 6x2 – 12x 3x2 – 7x 3x – 7 6x2 – 16x
Mathematics
2 answers:
baherus [9]3 years ago
8 0

Answer:

So length of top of table is 3x-7 inches.

Step-by-step explanation:

Here we are given that the top of the table has a width that is given by 2x inches.

The area of the top is given by:

Area=6x^{2}-14x

Now the top of the table is of the shape of rectangle and area of rectangle is given by:

A=l*w

where l is length of the table and w is width of the table.

Plugging the values of A and w in the formula we have:

6x^{2}-14x=l*2x

Dividing by 2x,

l=3x-7 inches

So length of top of table is 3x-7 inches.

Vinil7 [7]3 years ago
5 0

Answer:

The correct answer would be c:3x-7

Step-by-step explanation:

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Answer:

The measure of angle y is 90°

Step-by-step explanation:

we know that

The inscribed angle is half that of the arc it comprises.

so

m∠y=(1/2)[180°] -----> because the diameter divide the circle into two equal parts

so

m∠y=90°

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3 0
3 years ago
Consider the initial value problem:
Inessa [10]

Answer:

\left \{ {{u'=v} \atop {v'=5v-6u-5\sin(2t)}} \right. \\u(0)=-5;u'(0)=2

Step-by-step explanation:

The given initial value problem is;

y''-5y'+6y=-5\sin(2t)---(1)\\y(0)=-5,y'(0)=2

Let

u(t)=y(t)----(2)\\v(t)=y'(t)----(3)

Differentiating both sides of equation (1) with respect to t, we obtain:

u'(t)=y'(t)---(4)\\ \\\implies u'(t)=v(t)---(5)

Differentiating both sides of equation (2) with respect to t gives:

v'(t)=y''(t)----(6)

From equation (1),

y''=5y'-6y-5\sin(2t)\\y''=5v(t)-6u(t)-5\sin(2t)\\\implies v'(t)=5v(t)-6u(t)-5\sin(2t)----(7)

Putting t=0 into equation (2) yields

u(0)=y(0)\\\implies u(0)=-5

Also putting t=0 into equation (3)

u'(0)=y'(0)\\u'(0)=2

The system of first order equations is:

\left \{ {{u'=v} \atop {v'=5v-6u-5\sin(2t)}} \right. \\u(0)=-5;u'(0)=2

3 0
3 years ago
10. Use the data to determine the missing values in the five-number summary.
exis [7]

Answer:

Q1 - 2

Q1 - 5

Q3 - 7

maximum 9

minimum 1

Step-by-step explanation:

order the numbers from least to greatest

7 0
3 years ago
Does the line represented by the equation: y=-2x+5 have a positive slope?
Veronika [31]

Answer:

Step-by-step explanation:

No, it doesn’t have a positive slope because the negative sign in front 2 means that the slope is negative and going down. If the slope would’ve been positive than there wouldn’t have been a negative sign and it would go up.

7 0
2 years ago
Find the measure of side XY.
Ymorist [56]

Answer:

XY = 18

Step-by-step explanation:

The figures are similar so the ratios of corresponding sides are equal, that is

\frac{XY}{BC} = \frac{YZ}{CD} , substitute values

\frac{XY}{12} = \frac{15}{10} ( cross- multiply )

10 XY = 180 ( divide both sides by 10 )

XY = 18

4 0
2 years ago
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