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astraxan [27]
2 years ago
11

Jim says that the square root of 200 is between 14 and 15. Do you think that is reasonable? Without using a calculator, can you

help him make a more precise estimate?
Mathematics
1 answer:
sleet_krkn [62]2 years ago
4 0

Answer:

the answer is 14.14

Step-by-step explanation:

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Which systems of equations intersect at point A in this graph?
abruzzese [7]

Answer:

The point of intersection of the system of equations is:

(x, y) =  (-2, 1)

The correct system of equations intersect at point A in this graph will be:

\begin{bmatrix}y=4x+9\\ y=-3x-5\end{bmatrix}

Thus, the second option is correct.

Step-by-step explanation:

Given the point

  • A (-2, 1)

Let us check the system of equations to determine whether it intersect at point A in this graph.

Given the system of equations

\begin{bmatrix}y=4x+9\\ y=-3x-5\end{bmatrix}

Arrange equation variable for elimination

\begin{bmatrix}y-4x=9\\ y+3x=-5\end{bmatrix}

so

y+3x=-5

-

\underline{y-4x=9}

7x=-14

so the system of equations becomes

\begin{bmatrix}y-4x=9\\ 7x=-14\end{bmatrix}

Solve 7x = -14 for x

7x=-14

Divide both sides by 7

\frac{7x}{7}=\frac{-14}{7}

Simplify

x = -2

For y - 4x = 9 plug in x = 2

y-4\left(-2\right)=9

y+4\cdot \:2=9

y+8=9

Subtract 8 from both sides

y+8-8=9-8

Simplify

y = 1

Thus, the solution to the system of equations is:

(x, y) = (-2, 1)

From the attached graph, it is also clear that the system of equations intersects at point x = -2, and y = 1.

In other words, the point of intersection of the system of equations is:

(x, y) =  (-2, 1)

Therefore, the correct system of equations intersect at point A in this graph will be:

\begin{bmatrix}y=4x+9\\ y=-3x-5\end{bmatrix}

Thus, the second option is correct.

3 0
3 years ago
todd plans to swim 18 laps in the pool. Each lap is 50 yards. So far todd has swam 738 yards. What percentage of the total has t
Olegator [25]
50 yards for 1 lap

 50 yards x 18 laps = 900 total yards

now divide the amount he swam by the total amount he wants to swim:

738 / 900 = 0.82 = 82%

Answer is B
7 0
3 years ago
A toy store wants to give away free goody bags to their customers. They have 60 lollipops and 72 stickers to give away. They wan
Flura [38]

60 because each bag has to be the same

5 0
3 years ago
A rectangular garden has a length that is modeled by the expression 2 x – 7 and a width of 3 x 2 + 4 x. Part A: What is the area
borishaifa [10]
Area: (2x - 7) * (3*2 + 4x)
          (2x - 7) * (6 + 4x)
                  8x-42

Perimeter: 2(2x - 7) + 2(3*2 + 4x)
5 0
3 years ago
Read 2 more answers
Work out the circumference of this circle.
tigry1 [53]
C=pid
Since d=9m and pi=3.142, C=3.142*9m=28.278
Rounded to 1 decimal point =28.3
3 0
3 years ago
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