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3 years ago

The perimeter of a rectangular field is 296 yards. if the length of the field is 79 yards, what is its width?

1 answer:

8 0

Perimeter of rectangle is 2L + 2W
perimeter is 296
length of field is 79

Solve
2L + 2W = 296
2(79) + 2W = 296
158 + 2W = 296
2W = 296 - 158 = 138
W = 138/2 = 69 yards

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2 years ago

Find the length of both of the unknown sides in the triangle shown here.

icang [17]

Answer:

$(x+11)^2 = (x+3)^2 +16^2$

And if we solve this equation for x we got:

$x^2 +22x +121 = x^2 +6x +9 +256$

We can cancel $x^2$ in both sides and we have this:

$22x -6x= 256+9-121 =144$

And then we got:

$16 x= 144$

$x =\frac{144}{16}= 9$

And then the length of the sides are 9+11= 20 m for the hypothenuse, 16 for the adjacent side and 9+3 = 12m for the last side.

Lenght of the smaller unknown side: 12m

Lenght of the larger unknown side: 20m

Step-by-step explanation:

For this case we have a right triangle and we can use the Pythagoras Theorem and using the info given by the triangle we can set up the following equation:

$(x+11)^2 = (x+3)^2 +16^2$

And if we solve this equation for x we got:

$x^2 +22x +121 = x^2 +6x +9 +256$

We can cancel $x^2$ in both sides and we have this:

$22x -6x= 256+9-121 =144$

And then we got:

$16 x= 144$

$x =\frac{144}{16}= 9$

And then the length of the sides are 9+11= 20 m for the hypothenuse, 16 for the adjacent side and 9+3 = 12m for the last side side.

Lenght of the smaller unknown side: 12m

Lenght of the larger unknown side: 20m

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3 years ago

What is the equation of the line that passes through the points (6,5) and (-7,4)?

devlian [24]

Answer:

13y= x + 59

Step-by-step explanation:

gradient= y² - y¹ / x²- x¹

=5 - 4 / 6- -7

= 1/ 13

<h3>equation of line: y=mx+c</h3>

x y

point (6,5)

substitute:

5= 1 (6) + c

c = 5 - 6

= 59

y=mx+c

13y= 1x + 59

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3 years ago

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Answer:

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2 years ago

What is the constant term of -3x^4-7x+2

emmasim [6.3K]

Answer:

The equation written in the standard form is written as

ax^4 + bx+c

where a and b are the coefficients of the second-order and first-order term, while c is the constant term.

The equation we have in this problem is

By comparing (1) with (2), we immediately see that

A = -3x^4

B = 7x

C = 2

Step-by-step explanation:

Hope this helps :)

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3 years ago