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Serggg [28]
3 years ago
7

What is the equation linethatis perpendicular to the given line and passes through the point (3,0)?​

Mathematics
1 answer:
vladimir1956 [14]3 years ago
3 0

Answer:

3y+x = 3

Step-by-step explanation:

for the point ( 3,0)

x=3 , y= 0

the equation for the line is given as

y-y1= m(x-x1)

for perpendicular ,

m= -1/x

so

y-0 = -1/3(x-3)

3y= -x +3

3y+x=3

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The Doe family had a rectangular garden with a 58-foot perimeter. They reduced the length by 7 feet and decreased the width to b
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Answer:

60 square foot

Step-by-step explanation:

Perimeter of a rectangular garden = 58 foot

Let x and y denote length and width of the rectangular garden.

2 (Length + Width) = Perimeter of the rectangular garden

2(x+y)=58\\x+y=\frac{58}{2}\\ x+y=29

So,

length = x

width = y = 29-x

The length is reduced by 7 feet and the width becomes half.

New length = x-7

New width = \frac{1}{2}(29-x)

New perimeter = 34 foot

2[(x-7)+\frac{1}{2}(29-x)]=34\\ 2[2(x-7)+(29-x)]=2(34)\\2(x-7)+(29-x)=34\\2x-14+29-x=34\\2x-x-14+29=34\\x+15=34\\x=34-15\\x=19

So,

New length =x-7=19-7=12\,\,foot

New width = \frac{1}{2}(29-19)=\frac{1}{2}(10)=5\,\,foot

Area of the new smaller garden = New length × New Width

= 12 × 5

= 60 square foot

6 0
3 years ago
0.005123 in scientific notation
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Answer:

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Step-by-step explanation:

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3 years ago
Sienna tossed 10 heads when tossing a coin 24 times. What is the experimental probability of tossing heads?
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Step-by-step explanation:

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RideAnS [48]

Answer:

V=5.333cubit unit

Step-by-step explanation:

this problem question, we are required to evaluate the volume of the region bounded by the paraboloid z = f(x, y) = 3x² + y² and the square r: -1≤ x ≤ 1, -1 ≤ y ≤ 1

The question can be interpreted as z = f(x, y) = 3x² + y² and the square r: -1≤ x ≤ 1, -1 ≤ y ≤ 1 and we are told to evaluate the volume of the region bounded by the given paraboloid z

The volume V of integral evaluated along the limits of x and y for the 2-D figure, can be evaluated using the expression below

V = ∫∫ f(x, y) dx dy then we can now substitute and integrate accordingly.

CHECK THE ATTACHMENT BELOW FOR DETAILED EXPLATION:

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4 years ago
A straight line that is parallel to one of the sides of a given triangle intersects its other two sides (or their extensions) an
timurjin [86]

Answer:

We know that this triangle is similar because it will have all of the same angles as the first triangle. This is because two parallel lines cut by a transversal will create the same angles. In addition, they share the final angle because we are not changing that angle. Therefore, all 3 are the same, which makes them similar triangles.


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