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Pie
3 years ago
10

Baileys rectangular dog pen for his Irish setter must have an area of 300 square feet. Also, the length must be 10 feet longer t

han the width. Find the dimensions of the pen.
Mathematics
1 answer:
Naily [24]3 years ago
7 0
Area of rectangle = length × width
300 = (x+10) × x
300 = 10x + x^2
Now we have the equation y=x^2 + 10x - 300
We can factor this equation to get our zeroes, which are:
-5(1+sqrt(13)),
5(sqrt(13)-1)

We only use the positive zero because we can't have a negative dimension.

Your width would be:
5(sqrt(13)-1)

Your length would be:
5(sqrt(13)-1) + 10
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Frankie and Gus swam for 10 minutes. When the time was up, Frankie had completed 10 7/10 tags and Gus had completed 10 4/5 laps.
telo118 [61]

Answer:

Step-by-step explanation:

10 4/5 = 10.8

10 7/10 = 10.7

Frankie did not swim the longest distance.

Gus did.

10.8>10.7

7 0
3 years ago
Help with question pls I don't understand​
Mazyrski [523]

Answer:

15x^3y+6x^2y^2+9xy^3

Step-by-step explanation:

3xy ( 5x^2 +2xy +3y^2)

Distribute the 3xy to all terms in the parentheses

3xy*5x^2+3xy*2xy+3xy*3y^2

15x^3y+6x^2y^2+9xy^3

6 0
2 years ago
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64 ounces in 8 cups unit rate
Veseljchak [2.6K]
So the unit rate is basically how many ounces in 1 cup?

So since there are 64 ounces in 8 cups, you can just divide by 8, to find how many sets of 8 there are in 64.

64 = 8

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7 0
3 years ago
Help me help me 10 points
Shtirlitz [24]

Answer:

arc BC = 84 degrees

Step-by-step explanation:

notice:

need to find n  before finding arc BC

(13n -16) + (7n + 12) + 6n = 360

13n + 7n + 6n  - 16 + 12  = 360

26n  - 4 = 360

26n = 364

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3 0
2 years ago
Which lines are parellele
natali 33 [55]

Line 1 and Line 4 are parallel lines

Solution:

General equation of a line:

y = mx + c

where m is the slope and c is the y-intercept of the line.

<u>To find the slope of each line:</u>

Line 1: y=-\frac{3}{4} x-6

Slope (m_1)=-\frac{3}{4}

Line 2: y-7=-4(x+9)

y-7=-4x-36

Add 7 on both sides, we get

y=-4x-29

Slope (m_2)=-4

Line 3: y=-2 x+6

Slope (m_3)=-2

Line 4: x+\frac{4}{3} y=-5

Subtract x from both sides, we get

\frac{4}{3} y=-x-5

Multiply  by \frac{3}{4} on both sides, we get

y=-\frac{3}{4}x-\frac{15}{4}

Slope (m_4)=-\frac{3}{4}

<em>Two lines are parallel, if their slopes are equal.</em>

From the above slopes,

m_1=m_4

Therefore Line 1 and Line 4 are parallel lines.

3 0
3 years ago
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