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FrozenT [24]
3 years ago
6

A rectangular garden is fenced on all sides with 248 feet of fencing. The garden is 6 feet longer than it is wide. Fine the leng

th and width of the garden
Mathematics
1 answer:
Shalnov [3]3 years ago
8 0

The total length of the fencing is 248 ft; we call this the "perimeter" of the garden.  Since P = 2W + 2L in general, here:

                       P = 248 ft = 2W + 2(W+6), or   248 ft = 4W + 12.

Subtracting 12 from both sides of this equation:  236 ft = 4W.  Then W = 59 ft, which means that L = 65 ft.

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I need help with math algebra homework
lesya [120]

Answer:

1. Slope: -3/4

2. Point-slope: y+4=-3/4(x+4)

3. Slope-intercept: y=-3/4x-7

4. Standard form: 3x+4y=-28

Step-by-step explanation:

1. To find the slope, use the slope formula, which is: y2-y1/x2-x1.

Plug the y-coordinates into the top part of the equation and the x-coordinates into the bottom part.

2--4/-4-4

2+4/-8 = 6/-8, or 3/-4

2. Use the slope and one of the x and  y coordinates to put the equation into point-slope form. Recall that point-slope form is: y-y1=m(x-x1). Let's use the coordinates (4,-4).

y+4=-3/4(x+4)

3. To put the point-slope equation into slope-intercept form (y=mx+b), you need to distribute -3/4 to x+4 and subtract 4 from both sides.

When you distribute, the equation becomes:

y+4=-3/4x-3

Finally, when you subtract 4, the equation becomes:

y=-3/4x-7

4. Standard form is written as x+y= #.

To convert y=mx+b to standard form, first subtract -3/4x from both sides.

-3/4x + y = -7

Multiply everything by 4

3x + 4y = -28

3 0
3 years ago
True or False? Shapes that have no right angles also have no perpendicular segments.
frosja888 [35]
I think this is True. Because Perpendiculer Lines Rely On Right Angles. :)
4 0
3 years ago
Read 2 more answers
100 POINTS PLEASE HELP ASAP!!!!
Alika [10]

Answer: To clear an equation of decimals, multiply each term on both sides by the power of ten that will make all the decimals whole numbers. In our example above, if we multiply .25 by 100, we will get 25, a whole number. Since each decimal only goes to the hundredths place, 100 will work for all three terms.

So let's multiply each term by 100 to clear the decimals:

(100)0.25x + (100)0.35 = (100)(-0.29)

25x + 35 = -29

Now we can solve the equation as normal:

25x + 35 - 35 = -29 - 35

25x = -64

x = -2.56 Since the original was in decimal form, the answer should most likely also be in decimal form.

Let's look at one more:

1.75x + 4 = 6.2

We have to think a little more carefully about what multiple of ten to use here. 6.2 only needs to be multiplied by 10, but 1.25 needs 100, so we will multiply every term by 100. Don't forget to multiply the 4 by 100 as well.

(100)(1.75x) + (100)(4) = (100)(6.2)

175x + 400 = 620

We had to be extra careful as we multiplied by 100. Now we can solve the equation as normal:

175x + 400 - 400 = 620 - 400

175x = 220

x = 1.26

Step-by-step explanation:

8 0
3 years ago
The diameter of a circle has endpoints P(-12, -4) and Q(6, 12).
nexus9112 [7]

9514 1404 393

Answer:

  (x +3)² +(y -4)² = 145

Step-by-step explanation:

The center of the circle is the midpoint of the given segment PQ. If we call that point A, then ...

  A = (P +Q)/2

  A = ((-12, -4) +(6, 12))/2 = (-12+6, -4+12)/2 = (-6, 8)/2

  A = (-3, 4)

The equation of the circle for some radius r is ...

  (x -(-3))² +(y -4)² = r² . . . . . . where (-3, 4) is the center of the circle

The value of r² can be found by substituting either of the points on the circle. If we use Q, then we have ...

  (6 +3)² +(12 -4)² = r² = 9² +8²

  r² = 81 +64 = 145

Then the equation of the circle is ...

  (x +3)² +(y -4)² = 145

3 0
3 years ago
|w|=6 algebra answer
BARSIC [14]

w = 6
Hmmm... Strange very very strange. The bars around the w represent absolute value, and whatever is inside those bars always yields a positive answer. So, |-87| = 87 or |-8| = 8 or even |5|=5
8 0
3 years ago
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