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DENIUS [597]
3 years ago
8

The line contains the point (-4,-4) and is perpendicular to a line with a slope of 5/2 . The equation is this line is ?

Mathematics
1 answer:
Trava [24]3 years ago
3 0

Answer:

2x + 5y + 28 = 0

Step-by-step explanation:

since they are perpendicular,

m1 ×m2 = -1

5/2 × m2 = -1

m2 = -2/5

now,

y -y1 = M (x-x1)

y - (-4) = -2/5 ( x - (-4) )

y +4 = -2/5 ( x + 4 )

5 ( y +4 ) = -2 ( x+4)

5y +20 = -2x - 8

2x + 5y +20 + 8 =0

2x + 5y + 28 = 0

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B. 12 would be your answer
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A cylinder shaped can needs to be constructed to hold 400 cubic centimeters of soup. The material for the sides of the can costs
LenKa [72]

Answer:

The dimensions of the can that will minimize the cost are a Radius of 3.17cm and a Height of 12.67cm.

Step-by-step explanation:

Volume of the Cylinder=400 cm³

Volume of a Cylinder=πr²h

Therefore: πr²h=400

h=\frac{400}{\pi r^2}

Total Surface Area of a Cylinder=2πr²+2πrh

Cost of the materials for the Top and Bottom=0.06 cents per square centimeter

Cost of the materials for the sides=0.03 cents per square centimeter

Cost of the Cylinder=0.06(2πr²)+0.03(2πrh)

C=0.12πr²+0.06πrh

Recall: h=\frac{400}{\pi r^2}

Therefore:

C(r)=0.12\pi r^2+0.06 \pi r(\frac{400}{\pi r^2})

C(r)=0.12\pi r^2+\frac{24}{r}

C(r)=\frac{0.12\pi r^3+24}{r}

The minimum cost occurs when the derivative of the Cost =0.

C^{'}(r)=\frac{6\pi r^3-600}{25r^2}

6\pi r^3-600=0

6\pi r^3=600

\pi r^3=100

r^3=\frac{100}{\pi}

r^3=31.83

r=3.17 cm

Recall that:

h=\frac{400}{\pi r^2}

h=\frac{400}{\pi *3.17^2}

h=12.67cm

The dimensions of the can that will minimize the cost are a Radius of 3.17cm and a Height of 12.67cm.

3 0
3 years ago
One night a theater sold 186 movie tickets. an adults ticket cost $14, and a childs costs $10. in all, $2148 was taken in. How m
inna [77]

Answer:

72 adult tickets were sold and 114 child tickets were sold.

Step-by-step explanation:

x+y=186, 14x=10y=2148

x=186-y

14(186-y)+10y=2148

2604-14y+10y=2148

2604-4y=2148

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x=186-144 : x=72

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3 years ago
True or False - Explain the graphs of two different direct variations can be parallel
Radda [10]
False It can't be parallel It's gonna be intersecting or perpendicular
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3 years ago
Pls help me with this
umka21 [38]
ANSWER:

the y- intercept would be 0
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