All categories

3 years ago

Write an equation of the line passing through point P(2, 3) that is perpendicular to the line y -4 = -2(x+3)

Mathematics

1 answer:

Mariulka [41]3 years ago

3 0

Perpendicular = opposite sign and reciprocal slope
Slope of -2 turns into 1/2
Y-y1 = m(x-x1)
Solution; y-3 = 1/2(x-2)

You might be interested in

Find a vector function, r(t), that represents the curve of intersection of the two surfaces. the paraboloid z = 9x2 y2 and the p

dolphi86 [110]

The vector function is, r(t) = $\bold{ < t,2t^2,9t^2+4t^4 > }$

Given two surfaces for which the vector function corresponding to the intersection of the two need to be found.

First surface is the paraboloid, $z=9x^2+y^2$

Second equation is of the parabolic cylinder, $y=2x^2$

Now to find the intersection of these surfaces, we change these equations into its parametrical representations.

Let x = t

Then, from the equation of parabolic cylinder, $y=2t^2$ .

Now substituting x and y into the equation of the paraboloid, we get,

$z=9t^2+(2t^2)^2 = 9t^2+4t^4$

Now the vector function, r(t) = <x, y, z>

So r(t) = $\bold{ < t,2t^2,9t^2+4t^4 > }$

Learn more about vector functions at brainly.com/question/28479805

#SPJ4

7 0

2 years ago

A homeowner wants to include a semicircular patio at the end of a square sandbox. She knows that the area of the semicircular pa

stepladder [879]

Answer:

8cm

Step-by-step explanation:

First you must know that the diameter of the semi-circular patio is equal to the length of one side of the square

Area of a semi circle = πr²/2

25.12 = πr²

25.12 = 3.14r²/2

r² = 25.12(2)/3.14

r² = 16

r = √16

r = 4

Get the diameter

d = 2r

d =2(4)

d = 8cm

Hence the length of the side of the square is 8cm

6 0

2 years ago

A square pyramid has a height of 6 units and a volume of 70 units3. If a square prism has the same base area and volume as the s

inysia [295]

Answer:

The height is 2 units

Step-by-step explanation:

Find the area of the base of the square pyramid

we know that

The volume of the square pyramid is equal to

$V=\frac{1}{3}BH$

where

B is the area of the base and H is the height of the pyramid

we have

$H=6\ units$

$V=70\ units^{3}$

substitute in the formula and solve for B

$70=\frac{1}{3}B(6)$

$B=70/2=35\ units^{2}$

step 2

Find the height of the square prism

we know that

The volume of the square prism is equal to

$V=Bh$

where

B is the area of the base and h is the height of the prism

we have

$B=35\ units^{2}$

$V=70\ units^{3}$

substitute in the formula and solve for h

$70=(35)h$

$h=2\ units$

3 0

3 years ago

Read 2 more answers

Can someone help me please

Lady bird [3.3K]

Answer: 12.50$

Explanation: 5.25$ (per pound) and he wants 3 pounds so we multiply 5.25x3 which equals 15.75 and then we subtract 3.25 (because of the coupon) which makes your final answer 12.50$

8 0

3 years ago

Click to add text<br> Combine Like Terms:<br> 6y + 4z + 9x + 3y

boyakko [2]

Answer:

9y + 4z + 9x

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers