Which equation represents the line that passes through the points (–4, 3) and (2, –12)?

–9x + 2y = 42

x + 2y = 2

5x + 2y = –14

2x + 5y = 7

Let, speed of car B is -x.

So, speed of car A is x + 10.

Relative speed of A w.r.t B is ,

[tex]v_{ab}=(x+10)-(-x)\\\\v_{ab}=2x+10\ mph[/tex]

So, time taken by A to travel 300 miles relative to B given by 3 hours .

[tex]v_{ab}=2x+10\\\\\dfrac{300}{3}=2x+10\\\\x = 45 \ mph[/tex]

Therefore, speed of car A is 45 + 10 = 55 mph.

Hence, this is the required solution.

Answer:

x = 3

Step-by-step explanation:

Since the 3 angles in the triangle are equal, then the triangle is equilateral.

Thus the 3 sides are congruent.

Equate any 2 of the sides and solve for x, that is

12x - 13 = 7x + 2 ( subtract 7x from both sides )

5x - 13 = 2 ( add 13 to both sides )

5x = 15 ( divide both sides by 5 )

x = 3

Answer:

x = 6.5

Step-by-step explanation:

5(x−2)+3x−4= 38

5 times x, 5 times -2 =

5x - 10 + 3x - 4 = 38

Combine like terms

5x + 3x = 8x

8x - 10 - 4 = 38

Add 10

8x -10 +10 -4 = 38 +10 =

8x -4 = 48

Add 4

8x -4 +4 = 48 +4

8x = 52

Divide by 8

8x/8 = 52/8 =

x = 6.5

Answer:

3rd one 1000 times greater

Step-by-step explanation:

first you make 10^9 into 1000000000 then you make 10^6 into 1000000 then you divide them both and you get 1000

The equations that would guarantee that lines p and q are parallel are;

x = z

x + y = 180°

The image showing the lines p and q as well as the angles x, y and z can be found in the link at the end of this answer.

From the image given;

We see that a transverse line cuts across the two parallel lines p and q. Thus;

We can see that x and z are corresponding angles and as such, we can say that; x = z.

Secondly, we can see that y and z are supplementary angles because they form a straight line and sum of angles that form a straight is 180°.

Thus; y + z = 180°

Since x = z, then by substitution property of equality, we can say that;

x + y = 180°

Read more at; https://brainly.com/question/13128119

Answer:

Step-by-step explanation:

A and B

Answer: this is how you do it

Step-by-step explanation:

For example if you have a function f(x) = x - 1, then x = 1 is a zero of this function because using it as x gives 1 - 1 = 0. The Riemann Zeta function has some zeros that are easy to find which are of little interest but there are some other ones that are harder to find which is why the are called non-trivial.

Answer:

x=37 Hope this helped <3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

x+7=2(x−15)

x+7=(2)(x)+(2)(−15)(Distribute)

x+7=2x+−30

x+7=2x−30

Step 2: Subtract 2x from both sides.

x+7−2x=2x−30−2x

−x+7=−30

Step 3: Subtract 7 from both sides.

−x+7−7=−30−7

−x=−37

Step 4: Divide both sides by -1

Answer:

[tex]\boxed {x = 37}[/tex]

Step-by-step explanation:

Solve for the value of [tex]x[/tex]:

[tex]x + 7 = 2(x - 15)[/tex]

-Use Distributive Property:

[tex]x + 7 = 2(x - 15)[/tex]

[tex]x + 7 = 2x - 30[/tex]

-Take [tex]2x[/tex] and subtract it from [tex]x[/tex]:

[tex]x + 7 - 2x = 2x - 2x - 30[/tex]

[tex]-x + 7 = -30[/tex]

-Subtract [tex]7[/tex] to both sides:

[tex]-x + 7 - 7 = -30 - 7[/tex]

[tex]-x = -37[/tex]

-Divide both sides by [tex]-1[/tex]:

[tex]\frac{-x}{-1} = \frac{-37}{-1}[/tex]

[tex]\boxed {x = 37}[/tex]

So, the value of [tex]x[/tex] is [tex]37[/tex].

Answer:

A

Step-by-step explanation: got it right on edge

Answer:

d = 4.5

Step-by-step explanation:

d = [tex]\sqrt{\s(x2-x1)^{2} +(y2-y1)^{2}}[/tex]

d = [tex]\sqrt{(-4+6)^2+(1-5)^2}[/tex]

d = 4.5

Answer:

x = -2 + 2/3

= -6/3 + 2/3

= -4/3

Answer:

D) -3y + 8z

Step-by-step explanation:

2x - 2y + 5z - 2x - y + 3z

first, group the same variables together.

2x - 2x - 2y - y + 5z + 3z

then, this step which I don't have a name for.

2x - 2x = 0x.

-2y - y = -3y

5z + 3z = 8z

0x - 3y + 8z

or, -3y + 8z

[tex]f(x) = {x}^{2} + 7 [/tex]

[tex]y = {x}^{2} + 7 [/tex]

Subtract the sides of the equation minus 7

[tex]y - 7 = {x}^{2} [/tex]

Take the square root of both sides of the equation

[tex]x = \sqrt{y - 7} [/tex]

So ;

[tex] {f}^{ - 1}(x) = \sqrt{x - 7} [/tex]

_________________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

you can withdraw 11 times before it reaches the minimum of $100

Answer:

0.7 kg = $1

Step-by-step explanation:

7 kg - $10

? kg - $1

7 / 10 = 0.7

0.7 kg = $1

Let me know if I did something wrong :)

Answer:

7:10

Step-by-step explanation:

I do not know if this is a ratio problem but if this is than the answer is 7:10

Answer:

y = 2 x - 6

the second answer is

y + 6 = 2 (x - 0)

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Mathematically, we shall be using the z-score here

Z-score = (x-mean)/SD

From the question, mean = 80 and SD = 4

So we want to get the option in the question that has a z-score of 1 or below

Let’s look at 75

80-75 = 5 ( this is clearly above 1 standard deviation of 4)

For 77;

80 -77 = 3

This is less than the standard deviation of 4, meaning it is within 1 standard deviation of the mean

Option B) is correct.

Step-by-step explanation:

Given :

Mean [tex](\mu)[/tex]  = 80

Standard Deviation [tex](\sigma)[/tex]  = 4

Calculation :

We have to find the score that would be 1 deviation from the mean. Which means, the interval [tex](\mu-\sigma, \mu+\sigma)[/tex]

[tex]\mu-\sigma = 80-4=76[/tex]

[tex]\mu+\sigma =80+4=84[/tex]

The interval is (76,84)

Therefore, option B) is correct.

For more information, refer the link given below

https://brainly.com/question/23907081?referrer=searchResults

Answer:

12 hours

Step-by-step explanation:

So we know that Jim makes $5 an hour and was given a one time bonus of $50. Using the information given, we can make the expression:

5h + 50

to represent how much Jim makes in h hours.

Now we also know that Sarah makes $8 an hour and was given a one time bonus of $14. Using this information, we can make the expression:

8h + 14

to represent how much Sarah makes in h hours.

Now to find how many hours it will take for their paychecks to be the same, we have to set the two expressions equal to each other and solve for h:

8h + 14 = 5h + 50

Now solve for h. Subtract 5h from both sides.

3h + 14 = 50

Subtract 14 from both sides.

3h = 36

Divide both sides by 3.

h = 12

So it will take 12 hours for their paychecks to be the same.

I hope you find my answer and explanation to be helpful. Happy studying.

Answer:

The range is 30

Step-by-step explanation:

The range is the biggest number which is 95 subtracted from the smallest one 65 which is 30

Answer:

10

Step-by-step explanation:

just do 4-18 and u get the answer

Answer:

[tex]\huge\boxed{7\ \text{inches}}[/tex]

Step-by-step explanation:

As I mentioned earlier with a single side (line), rotations do not change the size of something. Only dilations do that. This goes for both lines AND shapes.

However, if the question said she dilated the piece, then yes, the length in inches would be different. However, rotation just changes the position and nothing happens to the length.

Hope this helped!

Answer:

The domain is continuous and the weight y of x identical hardcover books

Step-by-step explanation:

Discrete means non continuous data. This is continuous and equal so the domain is continuous.

Also, precipitation each week can vary so that won't work. Eating carrots each day can also vary so that doesn't work. The cost of an item can vary almost every day! So that is not true.

Therefore it is the last one, because it is identical and all of the coordinates make (1,3).

Hope this helps! :)

Answer:

[tex]Frozen\ Soup = 7550mL[/tex]

Step-by-step explanation:

Given

[tex]Soup = 9,350mL[/tex]

[tex]Packed = 1.8L[/tex]

Required

Determine the frozen soup

This is calculated as thus:

[tex]Frozen\ Soup = 9,350mL - 1.8L[/tex]

Convert 1.8L to mL

[tex]Frozen\ Soup = 9,350mL - 1.8 * 1000mL[/tex]

[tex]Frozen\ Soup = 9,350mL - 1,800mL[/tex]

[tex]Frozen\ Soup = 7550mL[/tex]

Answer:

esxrdctfvgbyhunijmkhn;bygitvcrfydxtesjtfhctryrx6

Step-by-step explanation: