A train traveled 325 miles in 5 hours. What was the trains average rate of speed in miles per hour?

s344n2d4d5 [400]

Hey there! I'm happy to help!

To find the distance between two points, you square the difference of the x-values and square the difference of the y-values, add them, and then you square root it!

First, we'll add our two x-values.

-6-0= -6

We square it, which means to multiply it by itself.

-6(-6)=36 (If you multiply an even number of negative numbers, your answer is positive. Since we have two negative numbers, we get positive 36)

Now, we do the same with the y-values.

-2-(-1)=-1 (two negatives make it a plus, as in minus minus 1 is plus one.)

We square it.

-1(-1)=1

Now, we add these x and y value differences.

36+1=37

Now, we find the square root using a calculator.

√37≈6.08

Have a wonderful day!

5 0

3 years ago

I need help.<br> Math is really hard

alekssr [168]

Answer:

The value of x in terms of b is: $\mathbf{x=-\frac{6}{2b}}$

The value of x when b is 3 is: x = -1

Step-by-step explanation:

We are given the function: $-2(bx-5)=16$

First we need to find

The value of x in terms of b

We need to find value of x

$-2(bx-5)=16$

Multiply -2 with terms inside the bracket

$-2bx+10=16$

Subtract 10 from both sides

$-2bx+10-10=16-10\\-2bx=6$

Divide both sides by -2b

$\frac{-2bx}{-2b}=\frac{6}{-2b}\\x=-\frac{6}{2b}$

So, The value of x in terms of b is: $\mathbf{x=-\frac{6}{2b}}$

The value of x when b is 3

We have the equation for the value of x in terms of b:

$\mathbf{x=-\frac{6}{2b}}$

Put b = 3

$x=-\frac{6}{2(3)}\\x=-\frac{6}{6}\\x=-1$

So, The value of x when b is 3 is: x = -1

3 0

3 years ago

The equation of the line passing through the points (3, 16) and (5, 10) can be expressed as y = mx + b. Give the value of b

Alenkinab [10]

we are given two points as

(3, 16) and (5, 10)

firstly , we will find slope

slope is m

so, we can use formula

$m=\frac{y_2-y_1}{x_2-x_1}$

now, we can plug points

$m=\frac{10-16}{5-3}$

$m=\frac{-6}{2}$

$m=-3$

we can plug it in y=mx+b

we get

$y=-3x+b$

now, we can select any one points

and find b

(3,16)

x=3 and y=16

$16=-3*3+b$

we can find b

$b=25$

now, we can plug back b

and we get

$y=-3x+25$

so, equation is

$y=-3x+25$

and

$b=25$ ...............Answer

8 0

2 years ago

Solve by elimination

DiKsa [7]

2x-y=-8
+
y=2
2x=-6
x=-3
2*-3-y=-8
-6-y=-8
-y=-2

x=-3 and y=2

7 0

3 years ago

Edward wrote a pattern starting at 0 and following the rule "add 2." . Juan wrote a pattern starting at 0 and following the rule

julsineya [31]

Answer:

where are the patternes that are supposed to be shown?

Step-by-step explanation:

it says : Which pair of patterns below represents that of Edward and Juan?

but there are no patterns shown

4 0

3 years ago

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