Find the gradient of the line passing through the points (4a, -a) and (6a, 5a)

Answers

Answer 1

Answer:

3

Step-by-step explanation:

Gradient is also called slope .

=> m = y₂ - y₁ / x₂ - x₁

=> m = 5a + a / 6a - 4a

=> m = 6a / 2a

=> m = 3


Related Questions

The ratio of dogs is 5:3. If there are 12 cats, how many dogs are there? PLS HELP

Answers

Answer:

First of all, is it the ratio cats to dogs or dogs to cats?

Step-by-step explanation:

?????

There are 20 dogs. To find this, do 5/3=x/12. Then solve the equation.
60 = 3x
Divide by 3
x = 20

What's the answer? 2³ x 4³ / 5⁰

Answers

Answer:

512

Step-by-step explanation:

Answer:

512

Step-by-step explanation:

1)  [tex]2^{3} * \frac{4^{3} }{5^{0}}[/tex]

2)  [tex]8 * \frac{4^{3} }{5^{0}}[/tex]

3)  [tex]8 * \frac{64 }{1}[/tex]

4)  [tex]\frac{512 }{1}[/tex]

5)  [tex]512[/tex]  

!!!!!!!!!!
A language arts teacher at North Middle School conducts a random survey of the student body and finds that 12% of the students would be
interested in a summer creative writing program if it were offered. If there are 700 students in the school, how many of them should the teacher
predict will participate in the program?
O A) 12 students
OB) S4 students
C) 140 students
D) 168 students

Answers

Answer:

B. 84 students

Step-by-step explanation:

12% of students

700 students in all

700 * 0.12 = 84

What is the perimeter of a square with a length of 13cm and a base of 13cm???

Please Help I Need This By Tomorrow!

Answers

13+13+13+13=52
Answer=52cm^2

What should be subtracted from (−5/4 ) to get - 1

Answers

Answer:

-5/4+1/4=-4/4=-1

Step-by-step explanation:

Trinity had $525.38 in a savings account at the beginning of the summer she wants to have at least $200 in the account by the end of the summer she withdraws $25 each week for food, clothes and movie tickets writing in a quality that represents triniti's situation. How many weeks can Trinity withdraw money from her account solve the inequality

Answers

Answer:

Trinity can withdraw $25 from her bank account for 13 weeks.

Step-by-step explanation:

If she wants to have at least $200 by the end of summer you need to subtract that much from what she has now. Which would be $325.38. Now you have to divide that number into 25, which should give you the number of week that money would last. That number is 13.0152, you don't need all those extra numbers so just use 13. No to check you work multiply 25 and 13. You get 325.

Write parametric equations of the line a. Please select the best answer from the choices provided A

Answers

Answer:

Parametric Equation of a Line

Step-by-step explanation:

A line, parallel to vector (a,b,c) passing through point P (x1,y1,z1) is represented by parametric equations

x = x1+ at

y = y1 + bt

z = z1 + ct

When the cost per class is increased by $50, the revenue will be $0. True False

Answers

Step-by-step explanation:

false I think this only answer

A space probe flies by a planet in an hyperbolic orbit. It reaches the vertex of its orbit at (5,0) and then travels along a 2 path that gets closer and closer to the line y=-x. Write an equation that describes the path of the space probe if the 5 center of its hyperbolic orbit is at (0,0).​

Answers

Answer:

[tex]\frac{2x^{2} }{{25} } + \frac{2y^{2}}{{25} } = 1[/tex]

Step-by-step explanation:

Since the required hyperbola has its vertex at (5,0), its transverse axis is on the x-axis and center at (0,0).

So, we use the equation in standard form

[tex]\frac{x^{2} }{a^{2} } + \frac{y^{2} }{b^{2} } = 1[/tex]

Also, since the path of the space probe gets closer to y = -x, this is the asymptote to the hyperbola.

Our standard asymptote equation is y = ±bx/a taking the negative sign and comparing with y = -x,

-bx/a = -x ⇒ b/a = 1 ⇒ a = b

Also, the coordinate of the vertex (c, 0) = (5, 0) and c² = a² + b²

substituting c = 5 and a = b into the equation, we have

c² = a² + b²

5² = a² + a²

25 = 2a²

a² = 25/2

a = √(25/2)

a = ±5/√2

rationalizing, we have

a = ±5/√2 × √2/√2

a = ±5√2/2

Since a = b, b = ±5√2/2

Inserting a and b into the equation for the hyperbola, we have

[tex]\frac{x^{2} }{a^{2} } + \frac{y^{2} }{b^{2} } = 1\\\frac{x^{2} }{(\frac{5\sqrt{2} }{2} )^{2} } + \frac{y^{2} }{\frac{5\sqrt{2} }{2} ^{2} } = 1\\\frac{x^{2} }{\frac{25 X 2 }{4} } + \frac{y^{2} }{\frac{25X2 }{4} } = 1\\\frac{x^{2} }{\frac{25}{2} } + \frac{y^{2} }{\frac{25}{2} } = 1\\\frac{2x^{2} }{{25} } + \frac{2y^{2}}{{25} } = 1[/tex]

So, the required equation is

[tex]\frac{2x^{2} }{{25} } + \frac{2y^{2}}{{25} } = 1[/tex]

3/4 divided by 6 2/3

Answers

Answer: 9/80

Step-by-step explanation:

Which other expression has the same value as (-4) - (-8) ?

A. (-4) + 8
B. -4 - (-8)
C. 4 + (-8)
D. (-4 ) + (-8)

Answers

the answer is: A (-4)+8

Answer:

the answer is option (A) . (-4) + 8

True or false

A chance event with probability 1 is certain to happen

Answers

Answer:

True, since 1 is 1/1, which is 100%

Hope that helps! :)

Step-by-step explanation:

Achilles ordered a pizza with 16 slices. Every hour, he ate half of the remaining slices. Let f(n) be the number of slices Achilles ate in the hour since he got home.

Answers

Consider we need to find f(n).

Given:

Achilles ordered a pizza with 16 slices.

Every hour, he ate half of the remaining slices.

To find:

The function f(n) that is the number of slices Achilles ate in the hour since he got home.

Solution:

Initial number of slices = 16

Every hour, he ate half of the remaining slices. So, the number slices Achilles ate in the hour since he got home are:

8, 4, 2, 1, ...

It is a geometric sequence with first term 8 and common ratio [tex]\dfrac{1}{2}[/tex].

The explicit formula for a geometric sequence is:

[tex]f(n)=ar^{n-1}[/tex]

Where, a is the first term and r is the common ratio.

Substituting [tex]a=8,r=\dfrac{1}{2}[/tex], we get

[tex]f(n)=8\left(\dfrac{1}{2}\right)^{n-1}[/tex]

Therefore, the  function f(n) that is the number of slices Achilles ate in the hour since he got home is [tex]f(n)=8\left(\dfrac{1}{2}\right)^{n-1}[/tex].

- 4(y-2) = 12

What’s the value of x?

Explain

Answers

Answer:

There is no x, so I’ll find y

Step-by-step explanation:

-4(y-2)=12

Multiply -4 with y and -2

-4y+8=12

Then subtract 8 with its self and 12

-4y = 4

now divide both numbers with 4

y= -1

Step 1. Multiply -4 by y.... you get -4y
Step 2. Multiply -4 by -2.... you get 8
Step 3. Equation will be -4y+8=12
Step 4. Subtract 8 from 8 and 12
Step 5. Equation will be -4y=4
Step 6. Divide 4 by both sides
Step 7. Answer is y=-1

how much is 5 interest of 500.00

Answers

Answer:

100.0

Step-by-step explanation:

because if you round divide that you get

Tickets for a concert cost $10 each if you order them online, but you must pay a service charge of $8 per order. The tickets cost $12 each if you buy them at the door on the night of the concert. Write a system of equations to model the situation. (Identify your variables)

Answers

Answer:

below

Step-by-step explanation:

x: ticket

y: total cost

y= 10x + 8

y= 12x

PLEASEE HELPPP ME I needdd helppp

Answers

Answer:

5

Step-by-step explanation:

divide the figure as a triangle and a rectangle first.

take away the rectangle part and if you just look at the triangle part,

you can get x using Pythagorean theorem.

Pythagorean theorem is a^2 + b^2 = c^2,

so 3^2 + 4^2 = x^2.

If you calculate it, x should be root 25, which equals 5.

So, the answer is 5.

You submitted the first number take always all of theme add 30 and your Answer will be 132

Determine whether the graphs of the given equations are parallel, perpendicular, or neither.

Answers

9514 1404 393

Answer:

  (c)  Perpendicular

Step-by-step explanation:

The slope is the coefficient of x in this slope-intercept form.

The slope of the first line is +1.

The slope of the second line is -1.

The product of the slopes is (1)(-1) = -1. When the product of slopes is -1 for two lines, those lines are perpendicular.

Pls help me with this equation

Answers

Answer:

$340

Step-by-step explanation:

Let $p be the price yesterday.

(1 - 15%)p = 289

85%p = 289

p = 340

∴ The price yesterday is $340.

Which pair best represents a causation relationship?
M. a person’s age and his/her shoe size
P. the number of ice cream cones sold and the amount of sunscreen sold
R. the temperature at a football game and the number of hot drinks sold
S. the number of people attending a ballgame and the length of the ballgame

Answers

Answer:

b

Step-by-step explanation:

Can someone fill this out? I am very busy today and I need someone to fill this out.

Answers

Answer:

Uh i think its a uhhh carrot

Step-by-step explanation:

Help me please. Please number 3 I need help

Answers

Answer:

Because they are both using (g units rates).

Step-by-step explanation:

1. What shapes are formed?
2. How many triangles are formed?
3. Can two triangles fit in one cartolina which shape is a rectangle?

Answers

Answer:

1.) rectangle and triangle

2.)4 because 2 for each rectangle

3.)yes and a rectangle has 4 vertics and 4 sides and 2 equal lengths

Tasneem has a sample of 12 bags of candy. She recorded the mass, in grams, of each bag. Her data is shown.

Answers

Answer:

the answer is D

Step-by-step explanation:

The Dot plot for Alia's Sample is plot D.

What is Dot plot?

Based on the values of each point, a dot plot visually groups the number of data points in a data set. Similar to a histogram or probability distribution function, this provides a visual representation of the data distribution.

Tasneem has a sample of 12 bags of candy.

Now, the median for Tasneem sample space is

= (47.1 + 47.2)/ 2

= 47. 15

As, the median mass in A is 47.05, B is 47.1, in C is 47.1 and in D is 47.4.

Also, we know that the median mass for Alia's Sample is greater than Tasneem.

Thus, the correct plot is D.

Learn more about Dot plot here:

https://brainly.com/question/22746300

#SPJ3

the volume of the square pyramid is ___ cubic feet.

Answers

28ft

dkdkdk

dkdkdkdkdkdkd

ddjdjddddddddddddddddddddddddddddddddddddddddd

Please help me check if it's right! Please give the right answers!

Answers

Answer

15

Step-by-step explanation:

12-3²+6÷(10÷5)x2²

12-9+6÷2x4

12-9+3x4

12-9+12

3+12

15

This is the only one I saw wrong. you added wrong

find the measure of each angle

Answers

Answer:

Step-by-step explanation:

m∠ 1  =  180 - 117

m∠ 1  = 63

m∠2 = the same as m∠ 1

m∠2 = 63

m∠3 is also the same b/c of the same length of the "legs" of the triangle

m∠3 = 63

Thx for helping! Everythings IN THE PIC sry for caps

Answers

here is pictrues

i dont understand number 3

plz mark me brainlest

# 4

To begin solving for the total cost of the paint that Ariana needs to buy, we first need to calculate the size of the walls and the ceiling that she is going to paint.

We begin by finding the size for the walls.

We use the formula  to find the area of each wall.

We know that the walls are 10-foot squares.

10 x 10 = 100 Square Feet

Each wall will have an area of 100 square feet each, we know that there are 4 walls in the shed.

100 x 4 = 400 Square Feet of walls to paint total.

Now we know that the ceiling will have the same area as the walls.

10 x 10 = 100 Square Feet of ceiling to paint.

Now Ariana goes to the store and finds that a gallon of paint cover 350 square feet. Ariana needs to paint a total of 400 square feet of wall.

400 - 350 = 50 Square Feet remains.

We know that she needs to buy the paint in gallons, so this leaves Ariana with purchasing 2 gallons of Blue paint.

Now Ariana also wants to paint the ceiling white. We know that 1 gallon of White paint is more than enough to cover the ceiling, but she still needs to buy the gallon of paint.

Now we add up all the prices of the 3 gallons of paint.

$26.98 x 2 = $53.96 for Blue Paint

$26.98 x 1 = $26.98 for White Paint

Total cost = $80.94.

Now we know that the sales tax is 5.5% of the total price.

$80.94 x 0.055

Sales Tax = $4.45

Now we simply add the total cost to the sales tax.

$80.94 + 4.45

Total cost with sales tax = $85.39

The parent function y = -2x^2+5 is translated down 12 units and left 8 units. What is the new equation in vertex form?

Answers

Answer:

y=-2(x+8)²-7

Step-by-step explanation:

Given: y=-2x²+5

After transformations: y=-2(x+8)²-7

Vertex would be (h,k) -> (-8,-7) instead of (0,5)

Ginny has a cell phone plan that charges a flat fee of $20 per month plus $.10 per minute used talking on the phone. Which expression will calculate Ginny’s bill if she spends (t) minutes on the phone each month?

Answers

Answer:

20 + 0.10t

Step-by-step explanation:

The 20 is the flat rate, the .10 is the per minuet rate meaning the answer is 20 + 0.10t. plz 5 str and thx, and brailiest.

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