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xxMikexx [17]
3 years ago
13

A square has an area of 9yd^2. What is the length of each side?

Mathematics
1 answer:
BlackZzzverrR [31]3 years ago
3 0

Answer: The side length is 3 yards.

Step-by-step explanation:

To find the area of a square, you have to square one of it's side lengths since they all share the same length.  Since we know the area, and we need to find the side length so we just need to find the square root of the area.

\sqrt{9} = 3    

The side length is 3 yards.

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What is the average acceleration of a southbound train that slows down from 15 m/s to 8.6 m/s in 1.2 s?
horrorfan [7]

Answer:

The average acceleration of train is 5.34\ m/s^2

Step-by-step explanation:

We have,

A train that slows down from 15 m/s to 8.6 m/s in 1.2 s. It means that 15 m/s is its initial velocity and 8.6 m/s is its final velocity.

It is required to find the average acceleration of the train.

a=\dfrac{v-u}{t}\\\\a=\dfrac{(8.6-15)\ m/s}{1.2\ s}\\\\a=-5.34\ m/s^2

The average acceleration of train is 5.34\ m/s^2.  Negative signs shows that the train is decelerating.

5 0
3 years ago
When  x=3, the value of x^2-2 is?​
Hitman42 [59]

Answer:

7

Step-by-step explanation:

First you would square 3 which is nine. Then subrtact 2. The final answer is 7 .

8 0
3 years ago
102,119,107,113,110, x; mean 114
Rom4ik [11]

Answer:

x = 133

Step-by-step explanation:

First, determine what total sum would be needed for the mean to be 114. Do this by multiplying 114 by 6 (bc total number of values in data set includes the variable <em>x</em>).

114 x 6 = 684

Next, add the five known values to get a sum of 551.

Now, just: 684 - 551 = 133

For the mean to be 114, x must equal 133.

6 0
3 years ago
Let a, b, c, and d be real numbers with a, c 6= 0. Prove that the lines y = ax+b and y = cx + d have the same x-intercept if and
Monica [59]

Step-by-step explanation:

We have got the lines :

y=ax+b\\y=cx+d

Both lines intercept the x-axis in the point :

I = (i_{1} ,i_{2})

In all point from x-axis the y-component is equal to 0.

I=(i_{1},o)

We replace the I point in the lines equations:

0=a(i_{1})+b \\0=c(i_{1})+d

From the first equation :

0=a(i_{1})+b \\-b=a(i_{1})\\i_{1}=\frac{-b}{a}

From the second equation :

0=c(i_{1})+d\\ -d=c(i_{1})\\i_{1}=\frac{-d}{c}

Then i_{1}=i_{1}

Finally :

\frac{-b}{a}=\frac{-d}{c} \\\frac{b}{a}=\frac{d}{c} \\ad=bc

y = ax + b and y = cx + d have the same x-intercept ⇔ad=bc

8 0
3 years ago
Find the area of rectangle it its length is (3x+5) and breadth is (2y+4)
Sindrei [870]

Answer:

Solution given:

length = (3x+5)

breadth = (2y+4)

we have

area of rectangle: length* breadth

=(3x+5)(2y+4)

opening bracket

=3x(2y+4)+5(2y+4)

=6xy+12x+10y+20

=<u>12x+10y+6xy+20</u><u>u</u><u>n</u><u>i</u><u>t</u><u> </u><u>square</u>

4 0
2 years ago
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