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2 years ago

What's the answer ????

Mathematics

1 answer:

Alisiya [41]2 years ago

5 0

Y=1/2x + 3 is the answer.

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Find an equation for those points P such that the distance from P to A(0, 1, 2) is equal to the distance from P to B(6, 4, 2). W

suter [353]

Answer: The required equation for points P is $4x+2y=17.$

Step-by-step explanation: We are give two points A(0, 1, 2) and B(6, 4, 2).

To find the equation for points P such that the distance of P from both A and B are equal.

We know that the distance between two points R(a, b, c) and S(d, e, f) is given by

$RS=\sqrt{(d-a)^2+(e-b)^2+(f-c)^2}.$

Let the point P be represented by (x, y, z).

According to the given information, we have

$PA=PB\\\\\Rightarrow \sqrt{(x-0)^2+(y-1)^2+(z-2)^2}=\sqrt{(x-6)^2+(y-4)^2+(z-2)^2}\\\\\Rightarrow x^2+y^2-2y+1+z^2-4z+4=x^2-12x+36+y^2-8y+16+z^2-4z+4~~~~~~~[\textup{Squaring both sides}]\\\\\Rightarrow -2y+1=-12x-8y+52\\\\\Rightarrow 12x+6y=51\\\\\Rightarrow 4x+2y=17.$

Thus, the required equation for points P is $4x+2y=17.$

8 0

2 years ago

The electronics company makes two types of switches. Type a takes 4 minutes to make and requires $3 worth of materials.Type b ta

Shalnov [3]

Let

x ------> number of switch type A

y -----> number of switch type B

Remember that

1 hour=60 min

32 hours=32*60=1,920 minutes

4x+5y=1,920 -------> equation 1

3x+5y=1,740 ------> equation 2

Solve the system of equations

Solve by graphing

using a graphing tool

see the attached figure

Solution is

x=180

y=240

therefore

<h2>the number of switch type A was 180</h2><h2>the number of switch type B was 240</h2>

3 0

1 year ago

Determine the value of y, if x is –9.<br> y= | x | +1<br> Answer:

kakasveta [241]

Since x = -9, you substitue the X for -9.
your equation would then be y = |-9| +1
|x| is absolute vale and makes everything inside positive.
so really it is y = 9+1
y = 10

6 0

3 years ago

What is 4/9 divided by 5?

JulijaS [17]

Answer:

it is 4/45

Step-by-step explanation:

i wrote down and did the work on a piece of paper

3 0

3 years ago

Read 2 more answers

What is 25/24 in simplest form