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3 years ago

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Select true or false for each statement

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zlopas [31]3 years ago

8 0

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Hollis house is located at (-1,4). She can walk in a straight line to get to Jedds house. A fast food resturant is located at (-

Nezavi [6.7K]

Answer:

The coordinates of Jedds house are (-7 , -2)

Step-by-step explanation:

* Lets explain how to solve the problem

- If point (x , y) divide the distance between the two points

$(x_{1},y_{1})$ and $(x_{2},y_{2})$ at the ratio

$(m_{1}:m_{1})$ , then

$x=\frac{x_{1}m_{2}+x_{2}m_{1}}{m_{1}+m_{2}}$ and

$y=\frac{y_{1}m_{2}+y_{2}m_{1}}{m_{1}+m_{2}}$

* Lets solve the problem

∵ Hollis house is located at (-1 , 4)

∴ $(x_{1},y_{1})$ = (-1 , 4)

∵ She can walk in a straight line to get to Jedds house

∵ The restaurant is located at (-3 , 2) and partitions the way from

Hollis house to Jedds house by a ration of 1 : 2

∴ (x , y) = (-3 , 2)

∴ $(m_{1}:m_{1})$ = 1 : 2

- Lets consider that Jedds house is located at $(x_{2},y_{2})$

∴ $-3=\frac{-1(2)+x_{2}(1)}{1+2}$

∴ $-3=\frac{-2+x_{2}}{3}$

- Multiply both sides by 3

∴ $-9=-2+x_{2}$

- Add 2 for both sides

∴ $-7=x_{2}$

∴ $2=\frac{4(2)+y_{2}(1)}{1+2}$

∴ $2=\frac{8+y_{2}}{3}$

- Multiply both sides by 3

∴ $6=8+y_{2}$

- Subtract 8 for both sides

∴ $-2=y_{2}$

∴ The coordinates of Jedds house are (-7 , -2)

7 0

3 years ago

How many solutions are there for 4x>8

Anni [7]

Answer:

$\Huge \boxed{X>2}$

Step-by-step explanation:

$\large \textnormal{To solve this problem, first you have to isolate it on one side of the equation.}$

First, divide by 4 from both sides.

$\displaystyle \frac{4x}{4}=\frac{8}{4}$

Solve.

$\displaystyle 8\div4=\boxed{2}$

Therefore, the solutions of 4x>8 is 2.

In conclusion, the correct answer is x=2.

<h2 /><h2>Hope this helps!</h2><h2 /><h2 /><h2>Have a wonderful blessing day! :)</h2><h2 /><h2 /><h2>Good luck!</h2><h2 /><h2 /><h2>Regards!</h2><h2 /><h2 /><h2>-Charlie</h2>

4 0

3 years ago

Read 2 more answers

If √2 = 1.414 then find the value of (√50+√72) please solve

Rus_ich [418]

Given:

$\sqrt{2}=1.414$

To find:

The value of $\sqrt{50}+\sqrt{72}$ .

Solution:

We have,

$\sqrt{50}+\sqrt{72}$

It can be rewritten as

$=\sqrt{2\times 25}+\sqrt{2\times 36}$

$=\sqrt{2}\times \sqrt{25}+\sqrt{2}\times \sqrt{36}$ $[\because \sqrt{ab}=\sqrt{a}\sqrt{b}]$

$=5\sqrt{2}+6\sqrt{2}$

$=11\sqrt{2}$

Putting $\sqrt{2}=1.414$ , we get

$=11(1.414)$

$=15.554$

Therefore, the value of given expression is 15.554.

8 0

2 years ago

Find mHK.<br> pls hurry and answer lol

Rashid [163]

It would be mark N? I think

7 0

3 years ago

Read 2 more answers

Given f(x)=4x+5 and g(x)= x^2+x; find (f∘g)(-5)<br> Please show all steps thank you

Greeley [361]

Answer:

$(f\circ g)(-5)=85$

Step-by-step explanation:

We are given:

$\displaystyle f(x)=4x+5\text{ and } g(x)=x^2+x$

And we want to find:

$(f\circ g)(-5)$

This is equivalent to:

$\displaystyle =f(g(-5))$

So, we will evaluate g(-5) first, which yields:

$\displaystyle g(-5)=(-5)^2+(-5)=25-5=20$

So:

$=f(g(-5))=f(20)$

Then:

$\displaystyle f(20)=4(20)+5=80+5=85$

Therefore:

$(f\circ g)(-5)=85$

6 0

3 years ago