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3 years ago

8

A soccer field is a rectangle 40 yards long and 30 yard wide. The coach asks the players to run from one corner to the other cor

ner diagonally across. What is the distance?

1 answer:

Debora [2.8K]3 years ago

4 0

Answer:

50 yards

Step-by-step explanation:pythogourus theorem apply here

a²+b²=c²

40²+30²=c²

c²=2500

c=√2500

c=50 yards

hope this helps

plz mark me brainliest

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LuckyWell [14K]

Answer:

y = 2x + 1 ;

y - 3 = - 3(x - 1) ; y = - 3x + 6 ;

Step-by-step explanation:

Given the data:

Sidewalk 1:

x __ y

2 _ 5

0 _ 1

Sidewalk 2:

x __ y

1 _ 3

3 _ -3

Equation for sidewalk 1 in slope - intercept form:

Slope intercept form:

y = mx + c

c = intercept ; m = slope

m = (change in y / change in x)

m = (1 - 5) / (0 - 2) = - 4 / - 2 = 2

Y intercept ; value of y when x = 0

(0, 1) ; y = 1

Hence, c = 1

y = 2x + 1

Sidewalk 2:

Point slope form:

y - y1 = m(x - x1)

m = slope

m = = (-3 - 3) / (3 - 1) = - 6/2 = - 3

Point (x1, y1) = (1, 3)

y - 3 = - 3(x - 1)

To slope intercept form:

y - 3 = - 3(x - 1)

y - 3 = - 3x + 3

y = - 3x + 3 + 3

y = - 3x + 6

Since the slope of both lines are different, intersection will be at single point and will have a single solution. This makes it independent.

Using substitution method :

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

y = - 3x + 6 - - - (2)

Substitute (1) into (2)

2x + 1 = - 3x + 6

2x + 3x = 6 - 1

5x = 5

x = 1

From (1)

y = 2(1) + 1

y = 2 + 1

y = 3

Coordinate of the point of intersection = (1, 3)

4 0

3 years ago

Please help me asap i will mark branlist please explain

Aleonysh [2.5K]

Answer:

Step-by-step explanation:

Just take the steps using a graft I hope this helps!

8 0

4 years ago

Hey if anyone could help me solve this that be awesome :D

Montano1993 [528]

I'm here to help. Those 3 points all lie on the same line. We know this because if we find the slope between any 2 of those points, it is the same. I'll show you: $m= \frac{12-20}{15-10}=- \frac{8}{5}$ . Now another 2 points: $m= \frac{4-12}{20-15}=- \frac{8}{5}$ . The same holds for the first and third points. So we got that out of the way. Now we will pick any one of those points and use the x and y values and our slope to write an equation of that line and then finally solve for the x and y intercepts. I'm going to use the first point (10, 20): $y-20=- \frac{8}{5}(x-10)$ . We will simplify to get it into y = mx + b form: $y-20=- \frac{8}{5}x+ \frac{80}{5}$ and $y-20=- \frac{8}{5}x+16$ and finally, $y=- \frac{8}{5}x+36$ . The y-intercept exists when x = 0, so when x = 0, y = 36. The x-intercept exists when y = 0, so when y = 0, x = 22.5. In summary, y-intercept: (0, 36). x-intercept: (22.5, 0) and you're all done!

7 0

3 years ago

Read 2 more answers

You are replacing the linoleum in a 14.5 by 12.5 kitchen, how many square feet of carpet should you buy

lana [24]

Answer:

The area of the room is 125 square feet because 12.5 times 10=125 square feet. As a result, you will spend $187.5 for it cost $1.5 to buy one square foot of carpet, and now we need 125 square feet to cover the room which 125 times 1.5 to get 187.5. Hope it help!

Step-by-step explanation:

3 0

3 years ago

Find the value of x using SohCahToa.

AlexFokin [52]

Answer:

$x=6.55\ units$

Step-by-step explanation:

we know that

In the right triangle of the figure

The cosine of the angle of 35 degrees is equal to divide the adjacent side to the angle of 35 degrees by the hypotenuse

so

$cos(35^o)=\frac{x}{8}$ -----> by CAH

solve for x

$x=(8)cos(35^o)$

$x=6.55\ units$

4 0

3 years ago