9km 15kn what is the missing side

WILL GIVE BRANLIEST!!! Pls help! Determine the coordinates of the point on the straight line y=3x+1 that is equidistant from the

iren [92.7K]

Let , coordinate of points are P( h,k ).

Also , k = 3h + 1

Distance of P from origin :

$d=\sqrt{h^2+k^2}$

Distance of P from ( -3, 4 ) :

$d=\sqrt{(h+3)^2+(k-4)^2}$

Now , these distance are equal :

$h^2+(3h+1)^2=(h+3)^2+(3h+1-4)^2\\\\h^2+(3h+1)^2=(h+3)^2+(3h-3)^2$

Solving above equation , we get :

$P=(\dfrac{16}{21},\dfrac{23}{7})$

Hence , this is the required solution.

6 0

3 years ago

SOLVE EACH SYSTEM USING SUBSTITUTION

NNADVOKAT [17]

1. since the equations equal each other
2x+19=x+7
-x -x
x+19=7
-19 -19
x= -12
sub into y= x+7
y= -12+7
y= -5

2. x+2y=-7
x+y+23=0
i don't know what the second equation is equal to, i'll assume 0

2y=x-7
y=1/2x-7/2
sub this into x+y+23=0
x+1/2x-7/2+23=0
3/2x+39/2=0
-39/2 -39/2
3/2x= -39/2
x=-39/2 / 3/2
x= -13
sub into y=1/2x-7/2
y=1/2(-13)-7/2
y= -10

3. x+5y=2
x=-4y+5
sub x=-4y+5 into x+5y=2
-4y+5+5y=2
y+5=2
-5 -5
y= -3
sub y =-3 into x =-4y+5
x=-4(-3)+5
x= 17

4. 3x+y=9
y=-5x+9
sub -5x+9 into 3x+y=9
3x+(-5x+9)=9
3x-5x+9=9
-2x+9=9
-9 -9
-2x=0
x=0
sub into y=-5x+9
y=-5(0)+9
y=9

3 0

3 years ago

Yolanda's club has 50 members. It's rules require that 60% of them must be present for any vote. At least how many members must

HACTEHA [7]

If you do 60% then you put the percent two times over the the left so 0.60 then you would do 0.60 times 50 so that would be 30. 30 of the members must vote. Hopefully that helped?

7 0

3 years ago

A Starbucks coffee shop serves an average of 3500 customers per day, with a standard deviation of 250. What is the probability t

castortr0y [4]

Answer:

$P(3300$

And we can find this probability with this difference:

$P(-0.8$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the amount of cofee shops of a population, and for this case we know the distribution for X is given by:

$X \sim N(3500,250)$

Where $\mu=3500$ and $\sigma=250$

We are interested on this probability

$P(3300$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(3300$

And we can find this probability with this difference:

$P(-0.8$

6 0

3 years ago

Read 2 more answers

A gas can hold 10 L of gas. How many cans could we fill with 7 L of gas?

katrin2010 [14]

Answer: It is only one can that can be filled up.

Step-by-step explanation: If 1 gas can can hold 10 L of gas and you only have 7 L then how can you fill up more than 1 gas can with only 7 L? You don't have enough gas to fill up more than 1 gas can. So you are left with only 1 gas can filled but only with 7 L.

4 0

3 years ago

9km15knwhat is the missing side ​

9km15knwhat is the missing side