PLEASE ANSWER ASAP! ANSWER MUST INCLUDE EXPLANATION IN ORDER TO RECEIVE POINTS AND THE BRAINLIEST ANSWER! THANKS!!!

Answers

Answer 1

Answer: We'll use the Pythagorean Theorem to solve this problem.
We know that the Pythagorean Theorem is the following:

$a^(2) + b^(2) =c^(2)$

where c is the hypotenuse (the side opposite the right angle), and a and b are the legs of the triangle.
To solve, we just have to input what we know. The two legs of the triangle are 60 and 100, so we just have to plug these values in and solve.

$60^(2) + 100^(2) = c^(2)$

$3600 + 10000 = c^(2)$

$13600= c^(2)$

So we know that the distance from one corner of the playing field to the opposite corner is the square root of 13,600 yards.
When we plug this into a calculator, we get

$√(13600)$ ≈ 116.619...

which, when rounded up to the nearest whole number, is 117.
The approximate distance from one corner of the soccer field to the opposite corner is 117 yards.
Hope that helped! =)

Answer 2

Answer: The answer is 117 because you do 60 squared plus 100 squared then you find the square root of that product and since it says approximentaly the closest answer would be 117

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I need help with slope

Answers

We should know the slope formula:

m= $(y2- y1)/(x2-x1)$

Now plug in the points accordingly:
= $(-1-4)/(1-(-4))$
= $(-5)/(5)$

It can be simplified further:
$(-5)/(5)$ = -1

Slope of the line that passes through (-4,4) and (1,-1) is -1

Solve using elimination, 2x+5y=2 3x-5y=53

Answers

2x + 5y =2
(+) 3x - 5y =53
-------------------------
5x + 0 = 55

Then finish it.

5x = 55
x = 11

Substitute x = 11,

2(11) + 5y = 2
22 - 2 + 5y = 0
20 + 5y = 0
5y = -20
y= -4

2x+5y=2
3x-5y=53
---------------
+
2x+3x=2+53
5x=55 / : 5
x=11

x=11
3x-5y=53

x=11
3*11-5y=53

x=11
33-5y=53

x=11
-5y=53-33

x=11
-5y=20 / : (-5)

x=11
y=-4

Given that (-4,3) and (6,-3) are opposites points on the circle (i.e diameter) write the equation of the circle

Answers

The center of the circle is the midpoint of the points or ((-4+6)/2,(-3+3)/2)=(1,0). Now, the diameter is the distance between the points. Using distance formulas (or noticing that the y-values are the same so it is a horizontal line), the distance is 10. Therefore, the radius is 5. The equation of a circle is (x-a)^2+(y-b)^2=r^2 where (a,b) is the center. Therefore, the equation is (x-1)^2+(y-0)^2=5^2.

Matt works different hours each week. These figures show his net pay for the last seven weeks: $132.57, $176.96, $201.11, $148.76, $155.92, $154.09, $155.19 Find Matt's average monthly income.$765.01
$696.19
$157.91
$426.50

Answers

Easy add them all together = 2045.7 then divide by how many numbers are there so 4 thats 511.425 and theres ur answer please mark me as brainlest!

Solve each quadratic equation by factoring and using the zero product property.10x + 6 = -2x^2 -2

Answers

Answer:

x = -4 x=-1

Step-by-step explanation:

10x + 6 = -2x^2 -2

Add 2x^2 to each side

+2x^2 +10x + 6 =2x^2 -2x^2 -2

2x^2 +10x + 6 = -2

Add 2 to each side

2x^2 +10x + 6+2 = -2+2

2x^2 +10x + 8 = 0

Divide each side by 2

2/2x^2 +10/2x + 8/2 = 0/2

x^2 +5x+4 = 0

What 2 numbers multiply to 4 and add to 5

4*1 = 4

4+1 =5

(x+4) (x+1) = 0

Using the zero product property

x+4 = 0 x+1 =0

x+4-4 = 0-4 x+1-1 =0-1

x = -4 x=-1

Answer:

x = -4 or x = -1

Step-by-step explanation:

Given equation is :

10x+6 = -2x²-2

Adding 2x² and 2 to both sides of above equation , we get

2x²+2 +10x+6 = -2x²-2 +2x²+2

Adding like terms , we get

2x²+10x+8 = 0

As we have noticed that there are multiples of 2.

Taking 2 as common,we get

2(x²+5x+4) = 0

Multiplying by 1/2 to both sides of above equation , we get

1/2.2(x²+5x+4) = 1/2.0

x²+5x+4 = 0

Split the middle term of above equation so that the sum of two term should be 5 and their product be 4.

x²+4x+x+4 = 0

Making two groups ,we get

x(x+4)+1(x+4)

Taking (x+4) common,we get

(x+4)(x+1) = 0

Applying Zero-Product Property to above equation, we get

x+4 = 0 or x+1 = 0

Firstly, solve x+4 = 0

Adding -4 to both sides of above equation,we get

x+4-4 = 0-4

x +0 = -4

x = -4

Secondly, solve x+1 = 0

Adding -1 to both sides of above equation,we get

x+1-1 = 0-1

x = -1

Hence, the solution of 10x+6 = -2x²-2 is {-4,-1}.

10x -2y = 10 in slope intercept form

Answers

slope-intercept form: y = mx + b
the point is to get y alone on one side of the equation:

10x - 2y = 10
-10x -10x
-2y = -10x + 10
-2y/-2 = -10x/-2 + 10/-2
y = 5x - 5