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creativ13 [48]
3 years ago
14

What is the distance between R(–3, 1) and S(4, 5)? Round to the nearest tenth.

Mathematics
1 answer:
Alik [6]3 years ago
3 0
R(–3, 1), S(4, 5)
calculate vector:
v=(4-(-3),5-1)=(7,4)

distance=length of vector=√(7²+4²)=√(49+16)=√(65)≈8.06226
rounded to the nearest tenth: 8.1
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Solve the equation 2p/3-12=-2
-BARSIC- [3]
Hey there! 

\frac{2p}{3} - 12 = -2

Firstly, we are going add 12 on each of the sides that we're working with. like ↓ 

p - 12 + 12 \\ \\ = -2 + 12

This gives us \frac{2}{3}p = 10 (if you are wondering how we got the out come of 10 it is because I added -2 + 12 = 10

Now multiply \frac{3}{2} on each of your sides 

\frac{3}{2} ( \frac{2}{3}p)  \\ \\  =  \frac{3}{2} (10)

Cancel the first set and you will find the value of p

p = 15

Good luck on your assignment and enjoy your day 

~LoveYourselfFirst:)
5 0
3 years ago
Please math , help
Furkat [3]

Answer:

As both the mean and standard deviation are in the desired ranges, the tool passes the technical control.

Step-by-step explanation:

Mean of the batch:

The mean of the batch is the sum of all values divided by the number of items. So

M = \frac{199+204+201+197+195+204+200}{7} = 200

Mean in the desired interval.

Standard deviation:

Square root of the sum of the difference squared between each term and the mean, divided by the number of items. So

S = \sqrt{\frac{(199-200)^2+(204-200)^2+(201-200)^2+(197-200)^2+(195-200)^2+(204-200)^2+(200-200)^2}{7}} = 1.18

As both the mean and standard deviation are in the desired ranges, the tool passes the technical control.

7 0
3 years ago
What is an ordered pair to the equation -6x+y=-4
balandron [24]

n

y

=

−

x

−

4

To find the x-intercept, substitute in

0

for

y

and solve for

x

.

0

=

−

x

−

4

Solve the equa

−

x

−

4

=

0

.

−

x

−

4

=

0

Add

4

to both sides of the equation.

−

x

=

4

Multiply each term in

x

=

−

4

by

−

1

x

=

−

4

To find the y-intercept, substitute in

0

for

x

and solve for

y

.

y

=

−

(

0

)

−

4

Simplify

−

(

0

)

−

4

.

Multiply

−

1

by

0

.

y

=

0

−

4

Subtract

4

from

0

.

y

=

−

4

These are the

x

and

y

intercepts of the equation

y

=

−

x

−

4

.

x-intercept:

(

−

4

,

0

)

y-intercept:

(

0

,

−

4

)

not too sure

6 0
3 years ago
Plz help me plz f(87) = -590.6 and f(132) = -901.1
quester [9]

Answer:

  ididk

Step-by-step explanation:

  ddkkdk

4 0
3 years ago
Let g (x) = 3x+2 and f (x) = x-2 / 3 find the value. g (f(2))
Romashka [77]

Answer: OPTION C.

Step-by-step explanation:

In order to solve the given exercise, you can follow these steps:

1. Given the following function f(x):

f(x)=\frac{x-2}{3}

You must substitute x=2 into the function f(x). Then:

f(2)=\frac{(2)-2}{3}

2. Evaluating, you get:

f(2)=\frac{0}{3}\\\\f(2)=0

3. Now, the next step is to substitute f(2)  into the function g(x):

g (x) = 3x+2\\\\g (f(2)) = 3(0)+2

4. Finally, evaluating, you get the following result:

g (f(2)) = 0+2\\\\g (f(2)) =2

You can identify that it matches with the Option C.

3 0
4 years ago
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