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True [87]
3 years ago
14

HELP QUICK

Mathematics
1 answer:
noname [10]3 years ago
8 0

Answer:

84ft

Step-by-step explanation:

w = 2/3(L)

if 280 feet of fencing can enclose the garden,therefore the perimeter is 280 feet

perimeter = 2L + 2W

but W=2/3(L)

therefore, perimeter = 2L + 2(2/3L)

P= 2L + 4/3(L)

P= 10/3(L)

but P= 280

therefore 280= 10/3(L)

L = (3×280)÷10

L= 84 feet

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Derive the equation of the parabola with a focus at (-5,5) and a directix of y = -1
Paladinen [302]

Answer:

D

Step-by-step explanation:

From any point (x, y) on the parabola the focus and directrix are equidistant

Using the distance formula

\sqrt{(x+5)^2+(y-5)^2} = | y + 1 |

Squaring both sides

(x + 5)² + (y - 5)² = (y + 1)^2 , that is

(y + 1)² = (x + 5)² + (y - 5)² ← subtract (y - 5)² from both sides

(y + 1)² - (y - 5)² = (x + 5)² ← expand left side and simplify

y² + 2y + 1 - y² + 10y - 25 = (x + 5)²

12y - 24 = (x + 5)² ← factor left side

12(y - 2) = (x + 5)² ← divide both sides by 12

y - 2 = \frac{1}{12} (x + 5)² ← add 2 to both sides

y = \frac{1}{12} (x + 5)² + 2

or

f(x) = \frac{1}{12} (x + 5)² + 2 → D

7 0
3 years ago
Rob's first four test scores are 80, 85, 100 and 85. What does he have to score on the last test in order to have a test average
faust18 [17]

Answer:

100

Step-by-step explanation:

85 +80+100+85+x(the unknown),/the number of numbers ie 5

350+x/5=90

350+x=90 * 5

350+x=450

x=450-350

x=100

6 0
2 years ago
Please show all work with the answers please
kenny6666 [7]
Part A

The angle of elevation of the staire case is given by

Angle\ of\ elevation=\tan^{-1}{ \frac{Vertical\ rise}{landing} } \\  \\ =\tan^{-1}{ \frac{14}{20} }\approx35^o



Part B:

<span>If the landing of each step is changed to 17 inches and the elevation of each step to 21 inches, the new angle of elevation for the staircase is given by

</span><span>Angle\ of\ elevation=\tan^{-1}{ \frac{Vertical\ rise}{landing} } \\  \\ =\tan^{-1}{ \frac{17}{21} }\approx39^o</span>
5 0
2 years ago
Help please and thank you
lara [203]
Cannot be determined.
Area or perimeter should be provided to calculate the lenght but its not.
8 0
3 years ago
Y = 7x is that a direct variation or no
natta225 [31]

Answer:

Step-by-step explanation:

yes i think so

5 0
3 years ago
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