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attashe74 [19]
3 years ago
7

I'll give brainliest to the most reliable and well-explained answer.

Mathematics
2 answers:
kogti [31]3 years ago
5 0

Answer:

5.5 ft^2.

Step-by-step explanation:

The length of each side of the square piece of land = 24 / 4 = 6 feet.

Total area of the land = 6^2 = 36 ft^2.

There are 2 triangular areas each side of the path.

Area of the top triangle = 1/2 * 6^2 = 18 ft^2.

Area of the bottom one = 1/2 * 5^2 = 12.5 ft^2.

So the area of the path =  36 - 18 - 12.5

= 36 - 30.5

= 5.5 ft^2.

lapo4ka [179]3 years ago
4 0

Answer:

Option B. 5.5 ft²

Step-by-step explanation:

Perimeter of the square piece of land = length of fence required

4(length of a side of the square) = 24 ft

Length of a side = 6 ft

Area of the square land = (Side)²

= 6²

= 36 square ft

Area of the side walk = Area of the square - [Area of two triangles separated by the sidewalk]

= 36 - [1/2 (Area Of The Sqaure) + 1/2 (Base) (Height) ]

= 36 - [36/2 + 1/2 (6 - 1) (6 - 1)]

= 36 - (18 + 12.5)

= 36 - 30.5

= 5.5 ft²

Therefore, Option B. is the correct answer.

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What is the slope of the line passing through the points (7, 10) and (5, 16) ?<br> Thank you
butalik [34]

Answer:

m=-3

Step-by-step explanation:

m=y2-y1/x2-x1

m=16-10/5-7

m=6/-2

m=-3

4 0
2 years ago
The temperature at the center of the sun, where thermonuclear processes take place, is approximately 1. 4500 k, as shown by suns
frosja888 [35]
The answer is 3. i hope this helped
7 0
3 years ago
The line through (-1/2, -7/2) and (2, 14) in slope intercept form??
icang [17]
To find the equation of a line in slope-intercept form given two points, we must arrange the points this way to find the slope (m):

m =  \frac{y_{2}-y _{1}}{x_{2}-x_{1}}

We can replace the variables in this equation with the values from the points we have been given, (\frac{-1}{2},  \frac{-7}{2}) and (2, 14). We know that the x-values always come first in an ordered pair, so we can put those in our equation first.
It doesn't really matter which x-value goes in which x-value slot in the equation as long as you match up the y-values in the same fashion. But for the sake of convenience, we will call the 2 in the second ordered pair x_{2} and the \frac{-1}{2} in the first ordered pair x_{1}.
Now, we can match these values in our equation, and while we're at it, we can substitute the appropriate y-values into their places as well.

m =  \frac{y_{2}-y _{1}}{x_{2}-x_{1}}

m =  \frac{14 -  \frac{-7}{2} }{2 -  \frac{-1}{2} }

Now, we can see that we are subtracting negatives in this equation. Remember that whenever you subtract a negative, it is the same as adding a positive. So, this equation could be rewritten as

m =  \frac{14 +  \frac{7}{2} }{2 +  \frac{1}{2} }

and we can change the improper fraction in the numerator into a mixed number for ease of addition.

m =  \frac{14 + 3 \frac{1}{2} }{2+ \frac{1}{2} }

And here, we can add, since it's made simple for us.

m =  \frac{17  \frac{1}{2} }{2  \frac{1}{2} }

Finally, to get the slope we can complete the fraction by dividing.

17.5 ÷ 2.5 = 7

The slope of this equation, m, is 7, and so far, our equation looks like this:

y = 7m + b

Now, to find y-intercept.

To do this, we simply have to substitute one of the ordered pairs in for the appropriate x- and y-values and solve. To make it easier on ourselves, we can use (2, 14) so we don't have to deal with negative numbers or fractions.

y = 7x + b

Let us substitute in our values.

14=7(2)+b

Now, we can solve by multiplying the 7 and 2.

14=14+b

Here, we can subtract 14 from both sides, since it is added to both in the equation, and we are left with

0 = b

which can be flipped around to show

b=0

The y-intercept of this line is 0.

Now, we can make this known in our equation like this:

y=7x+0

Or, for neatness' sake, we can just say

y=7x

which is your final equation.

The line through (\frac{-1}{2},  \frac{-7}{2}) and (2, 14) in slope-intercept form is <span>y=7x.
Hope that helped! =) </span>


7 0
3 years ago
What quadratic function does the graph represent?
nekit [7.7K]

Answer:

f(x)=-\frac{1}{3}(x-2)^2+4,

Step-by-step explanation:

The function of the graph can be written in the vertex form as

f(x)=a(x-h)^2+k, where V(h,k)=V(2,4) is the vertex of the quadratic function.

We substitute the value to obtain;

f(x)=a(x-2)^2+4,

The point (5,1) lies on the graph so we use it to determine the value of a.

1=a(5-2)^2+4,

1-4=a(3)^2,

-3=9a,

a=-\frac{1}{3}

The required equation is

f(x)=-\frac{1}{3}(x-2)^2+4,

5 0
3 years ago
30 points I'm struggling Find the equations of each line and show all of your work. (1, 5) (2, 6) (1, 1) (3, -8) (2, -3) (5, -2)
Free_Kalibri [48]

Answer:

1.(1,5) and (2,6) , 6-5/2-1=1/1 m=1 ,y=1x+b

5=1(1)+b 4=b

y=x+4

2.(1,1) and (3,-8) -8-1/3-1=-9/2 m=-9/2 ,y=-9/2x+b

1=-9/2(1)+b b=11/2

y=-9/x+11/2

3.(2.-3) and (5,-2) m=1/3 ,y=1/3x+b

-3=1/3(2)+b -3=2/3+b

-3-2/3=b

 b=-11/3

y=1/3x-11/3

4.(2,5)and (4,3) m=-1 y=-1x+b

5=-1(2)+b 5=-2+b

5+2=b

b=7

y=-1x+7

6.(-3,-5) and (-1,-3) m=2/2=1 y=1x+b

-5=1(-3)+b -5=-3+b

-5+3=b

-2=b

y=1x-2

Step-by-step explanation:

7 0
3 years ago
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