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3 years ago

13

Find the equation of the line perpendicular to 2y-5=3x+7 that passes through the point (11,1)

1 answer:

Crank3 years ago

5 0

Y= -2/3x + 8 1/3

Because:

First I found the equation, y=3/2x+12
Next, to find the perpendicular equation heres what you do. The yint does not matter, it changes completely so we should just get rid of it to equal. y=3/2x Next, we changed the slope. For perpendicular lines, we flip the fraction then make it the opposite (negative to positive or positive to negative) Which would make this slope to now be -2/3 Filter that into the equation to be, y=-2/3x Now to find the yint we use this point, (11,1) We multiple the slope by the first number 11. 11 times -2/3x equals -7 1/3
The yint is the number that you need to add for -7 1/3 to equal 1. Because 1 is the second number of (11,1) This number is 8 1/3 so,

y= -2/3x + 8 1/3

Hope I wasnt too confusing

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3 years ago

Water is being pumped into a reservoir tank. The total amount of water (w) after an amount of time (t) is given by the equation

pychu [463]

Answer:

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Step-by-step explanation:

Here, we want to

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3 years ago

A square pyramid has base area 64 square centimeters. The surface area of this pyramid is 224 square centimeters. Find the heigh

dolphi86 [110]

Answer:

$h \approx 12.7\,cm$

Step-by-step explanation:

The side of the square base is:

$l = \sqrt{64\,cm^{2}}$

$l = 8\,cm$

The formula for the surface area of the pyramid is:

$A_{s} = \frac{1}{2}\cdot (3\cdot l)\cdot \sqrt{0.25\cdot l^{2}+h^{2}} + l^{2}$

The height is cleared in the previous expression:

$A_{s} - l^{2} = \frac{3}{2}\cdot l\cdot \sqrt{0.25\cdot l^{2}+h^{2}}$

$\frac{2}{3}\cdot \frac{A_{s}-l^{2}}{l} = \sqrt{0.25\cdot l^{2} + h^{2}}$

$\frac{4}{9}\cdot \left(\frac{A_{s}-l^{2}}{l} \right)^{2} = \frac{1}{4} \cdot l^{2} + h^{2}$

$h = \sqrt{\frac{4}{9}\cdot \left(\frac{A_{s}-l^{2}}{l} \right)^{2} - \frac{1}{4}\cdot l^{2}}$

$h = \sqrt{\frac{4}{9}\cdot \left[\frac{224\,cm^{2}-(8\,cm)^{2}}{8\,cm}\right]^{2}-\frac{1}{4}\cdot (8\,cm)^{2} }$

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3 years ago

Please Help! I'm on a Timer!

Delvig [45]

Answer:

$-0.2(x - 4) = - 1.7$

$-0.2x + 0.8 = - 1.7$

$-0.2x = - 2.5$

$x = 12.5$

Step-by-step explanation:

Solving $-0.2(x - 4) = - 1.7$ using the distributive property:

$(-0.2)(x) + (-0.2)(-4) = - 1.7$

$-0.2x + 0.8 = - 1.7$

Subtract 0.8 from both sides

$-0.2x + 0.8 - 0.8 = - 1.7 - 0.8$

$-0.2x = - 2.5$

Divide both sides by -0.2

$\frac{-0.2x}{-0.2} = \frac{-2.5}{-0.2}$

$x = 12.5$

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3 years ago

What is the greatest 3 digit number you can subtract from 426 so that you would need to regroup?

kolbaska11 [484]

Do you want me to explain it?

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3 years ago

Read 2 more answers