find the value of a if the line joining the points (3a,4) and (a,-3) has a gradient of 1

Answers

Answer 1

Recall that the slope or gradient of a line segment through two points is the ratio of the change in the y coordinate to the change in the x coordinate.

If the gradient is 1, then

1 = (-3 - 4) / (a - 3a)

Solve for a :

1 = -7 / (-2a)

1 = 7/(2a)

2a = 7

a = 7/2


Related Questions

What are 2 or more fractions of each of these??

Answers

Answer:

Down below

Step-by-step explanation:

i. 80/100 = 4/5 = 80%

ii. 12.5/100 = 1/8

iii. 10/100 = 1/10

i, 80/100 = 4/5
ii, 12.5/100 = 1/8
iii, 10/100 = 1/10

Pls help I’m so confused

Answers

[tex]5x-6-x=2x+2\\\\5x-x-2x=2+6\\\\2x=8 \ \ /:2\\\\x=4\\\\\huge\boxed{\text{There is one solution at x=4}}[/tex]

Answer:

There is one solution at x+4

Step-by-step explanation:

Luisa sells stuffed animals.She sells a stuffed elephant for $34.90,and the sales tax is 9% of the sale price.About how much is the sales tax on the elephant

Answers

Answer:

G.$3.15

Step-by-step explanation:

Step 1-

The estimate for the given situation for the amount is $35, the sales tax of the stuffed elephant is:

=35 x 0.09 -  Multiply by the decimal 9%

=$3.15 - Multiply the values

Result- G.$3.15

Plz help. i’ll give brainliest

Answers

Answer:

x=157

first add up x+12and 124

add two times

and cancel with 2 it gives you 157

Step-by-step explanation:

Answer:

x=28 degrees

Step-by-step explanation:

140+140=280(Vertically opposite angles)

360-280=80(angles around a point is 360)

x+12=x+12(Vertically opposit angles)

x+12+x+12=80

2x+24      =80

           2x=56

              x=28

Hope u got it

If you have any question just ask me

If you think this is the best answer please mark me as brainliest

The pretzel shop usually sell an average of 11 original pretzels and 7 cinnamon pretzels each hour. If they sold 132 original pretzels today about how many cinnamon pretzels did they probably sell?

Answers

132/11 is 12
So 7*12 is 84
They shouldve sold around 84 cinnamon pretzels

Jane drove 406 miles in 7 hours.
At the same rate, how long would it take her to drive 522 miles?
9 hours
Х
6
?

Answers

Answer:

9 hours

Step-by-step explanation:

Is it important to study geography? Why or why not?​

Answers

Step-by-step explanation:

to some, its important because without it, they might not understand the surroundings e.g pilot,e.t.c while others, it is not important because they don't seriously need to understand their surroundings e.g doctor

Need help with #12
Please help

Answers

Step-by-step explanation:

If the figure is triangle then,

Let PR be x

So,

PQ+QR+PR= 180 (Sum of all the angles of the triangle)

Therefore,

6x+25+16-3x+x=180

4x+36=180

4x= 180/36

x= 144/4

X= 36

NOW,

PQ= 6x+25

= 6(36)+25

= 216+25 = 241= PQ.

QR = 16-3x

= 16-3(36)

= 16-108

= -92

PR = 36

hope it helps

Answer:

PR = 36

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Which of the following are properties of parallelograms?

SELECT ALL THAT APPLIES THAT MEANS THERE ARE MORE THAN ONE ANSWER. IF YOU CAN'T PUT MORE THAN ONE ANSWER DOWN THEN I BEG YOU NOT TO ANSWER. THANK YOU.

A. One pair of parallel sides.
B. Both pairs of opposite of angles are congruent.
C. Consecutive angles are congruent.
D. Both pairs of opposite sides are congruent.
E. Consecutive angles are supplementary.

Answers

Answer:

Hello! Your answer is BELOW

Step-by-step explanation:

D Both pairs of opposite sides are congruent.

B Both pairs of opposite of angles are congruent.

A One pair of parallel sides.

Hope I helped! Hope you make an 100%

-Amelia♥

Answer:

maybe A? B, D, E

Give brainlest if u agree :)

Step-by-step explanation:

A - Parrallelgrams do indeed have 1 pair of parrlell sides, but are not limited to 1. They in fact have 2 sides. If ur instructor is super literal i would put A, if not then technically a parallelogram has 2 pairs of parrallel sides.

B - True. opposite  pairs have the same measure of radians

C - Not true because of B

D - True, sides are same length

E - True, consecutive angles add to 180

Source: https://www.mathplanet.com/education/geometry/quadrilaterals/properties-of-parallelograms

The center of circle is on the line y=2x and the line x=1is tangent to the circle at (1,6) find center and radius of the circle?

Answers

Answer:

7898955

Step-by-step explanation:

W212W

i^32=......................

Answers

i^32 = (i^4)^8 and i^4 = 1

so (i^4)^8 =1^8 = 1

The trick on all questions like this is to get as many i^4’s out of the way, since they’re all just 1s.

What is the missing number?
7/18= 21/?
A.3
B.32
C.44
D.54

Answers

Answer:

7x3=21

18x3=54.

Hope it helps you...

Answer:

D 0.54

Step-by-step explanation:

7/18 = 0.389

21/0.54 = 0.389

Use a calculator to if you're unsure or want to double check. (PS. I used it)

Hope it helped! Don't forget to give it 5 stars and leave a comment below if it helped! Thanks!

Cameron has a bag that contains one silver (S) and one gold (G) marble. The marbles are the same size. Cameron chooses one marble at random and then puts it back in the bag. Then he chooses a second marble. The outcome "GS" means that a gold marble was chosen first and a silver marble was chosen second.

Answers

Answer:

(SS,SG,GS,GG) Probability 0.25

Step-by-step explanation:

i don't know how to do this

Heyo!

So, first things first:

Based on the data shown, it appears that Cameron has 1/4 a chance to really recieve any combo of the following. Hence, he can get SS, SG, 6S, GG. So, each chance he picks, he has a 0.25 chance of probably recieving any of the combo. So, the outcome order is (SS, SG, GS, GG) and the probability for each is 0.25.

It hard to really describe how to write it out without an image, but I hope this helps! Pls, lmk if it does! Good luck!

Please help me TwT....Tell whether the statement is always, sometimes, or never true. The LCM of a set of numbers is equal to one of the numbers in the set. PLEASE HELP!!!

Answers

Answer:always

Step-by-step explanation:the lcm should always be included in the set. Like think about 2s and 3s the lcm will be 6 that is included. unless there is an exception I don’t know the lcm should always be included in the set

I need help on the question up here

Answers

2x + 4a = 10

2x = 10 - 4a

x = 5 - 2a

-120 = -8x what is x ?

Answers

Answer:

- 15 is your answer.

I hope it will help you a lot.

Answer: x=15

Step-by-step explanation: −120=−8x                                                                     −8x /−8 = −120 /−8                                                                                                         x=15                                  

               

-0.58x+0.38x=4.8
plz help quick

Answers

Answer:

-0.2x=40

Step-by-step explanation:

-0.58x+0.38x=4.8

Combine like terms:

-0.2x=4.8

That’s for the answer, but if you want to go further, divide -0.2 to both sides:

x=24

Please Help!! 100 points!!

What is the value of x?

Enter your answer in the box.

□ units

Answers

Answer:5o

Step-by-step explanation: you add all of the numbers length with and high the

(5,6) passes through 5

Answers

Jkiahkakabakanlqbalabakwbqkqbmq

Ricardo's Appliance is having a 35% off sale on
all items in the store. What's the sale price on a
$549.00 refrigerator?
$356.85
$192.15
$514.00
$449.67

Answers

the answerrrrrrr is

356.85

Which integer is bigger? -1 or -13?
Which integer is bigger -11 or 1?
Which integer is bigger? -8 or 8?
Which integer is bigger? 12 or -22?
Which integer is bigger? -33 or -17
Which integer is bigger? -54 or -46
Which integer is bigger? -26 or -14?
Which integer is bigger? 8 or -32?
Which integer is bigger? 26 or -26?

Answers

Answers:

-1, 1, 8, 12, -17, -46, -14, -14, 8, 26

Which integer is bigger? -1 or -13? —>> –1

Which integer is bigger -11 or 1? —>> 1

Which integer is bigger? -8 or 8? —>> 8

Which integer is bigger? 12 or -22? —>> 12

Which integer is bigger? -33 or -17 —>> – 17

Which integer is bigger? -54 or -46 —>> – 46

Which integer is bigger? -26 or -14? —>> – 14

Which integer is bigger? 8 or -32? —>> 8

Which integer is bigger? 26 or -26? —>> 26

**Important note: A number with a negative sign can help you whenever a number is small -> it is considered a large number

I hope I helped you^_^

Alyssa, Reggie and Cassie are meeting some friends at the movies and have stopped
at the refreshment stand. The table below shows some of the items for sale and their
prices.
Alyssa has $7 and would like to buy fruit snacks for as many of her friends as
possible. Which inequality below can be solved to find the number of fruit snacks f
she can buy.

Popcorn bag = 3.50
Drink = 3.00
Hot dog = 2.50
Nachos = 2.50
Fruit snack = 2.00

PLS HELP ME

Answers

Answer:

fruit snack = $2.00. Alyssa can buy 3 fruit snacks and she will have $1 left over. hope this helps

Step-by-step explanation:

- Zombie

Answer:

Hot dog+Nachos+Fruit snack

2.50 + 2.50 + 2.00

Step-by-step explanation:

can't explain the real wrk to find this can't tell us guys

i need help plzz i neeeed help

Answers

Answer:

-3+4=1

Step-by-step explanation:

Start with whichever arrow starts from 0

Maria ran at a rate of 3.4 miles per hour for 2.02 hours. How many miles did she run in Total?

Answers

Answer:

6.868 miles

Step-by-step explanation:

2.02 x 3.4 = 6.868

Write two fractions that are equivalent to 5/20.

Answers

Answer:

[tex] \frac{5}{20} = \frac{1}{4} = \frac{10}{40} \\ thank \: you[/tex]

HELPPP?!!! What is the value of f(-2) and f(3)

Answers

Step #1 for both: figure out which interval your x-value fits into.
For f(-2), x=-2 and -2 fits with x ≤ -2, the top interval.
For f(3), x=3 and 3 fits into -2 < x ≤ 3, the middle interval.

Step #2 for both, plug in your x-value to the piece of the function that fits with that interval.
For f(-2), we know x≤-2, so we use 2x+8 to evaluate x=-2.
For f(3), we know -2
f(-2) = 2(-2)+8 = -4+8 = 4

f(3) = (3)^2 -3 = 9-3 = 6

What 124.2÷9 step-by-step explanation please help !! ( long division ..”

Answers

Answer: 13.8

Step-by-step explanation:

Motor sold half of his comic books and then bought
seventeen more. He now has 33. With how many did he begin?

Answers

20 comic books is the right awnser

10 times the quantity 9 minus a number x

Answers

Answer:

[tex]10 \times 9 - x \\ x = 10 \times 9 \\ x = 90[/tex]

PLEASE MARK ME BRAINLIEST.

the quotient of five times a number 7 is no more than 10​

Answers

Answer:

[tex]x \ge3.5[/tex]

Step-by-step explanation:

First, write the given in the form of a mathematical equation rather than words. I'll call the mystery number given in the question [tex]x[/tex]:

[tex]\frac{5*7}{x} \leq 10[/tex]

Simplify:

[tex]\frac{35}{x} \leq 10[/tex]

Solve for x:

[tex]\frac{35}{x} *x\leq 10*x[/tex]

Simplify the fraction:

[tex]35\leq 10x[/tex]

Divide by 10 to isolate x:

[tex]\frac{35}{10} \leq x[/tex]

Flip the equation around to make it easier to read:

[tex]x \ge \frac{35}{10}[/tex]

Simplify the fraction:

[tex]x \ge \frac{7}{2}[/tex] or [tex]x \ge3.5[/tex]

Other Questions
y(x-(9-4y)) for x=4 and y=2 The quantity of a number plus 4, divided by 9 Springboard English language art English 1 unit 1 telling detail Use the properties of exponents to simplify the expression (16a 12).O A) 28B)640 18C)124a13OD) 64218 What is Flower Niche a 16 Watt bulb is used for 5 hrs. what is the energy consumed by the bulb What do you mean by rational numbers? Give an example of rational number. Look at this table:Is this relation a function? Ryan has 21 pencils. He wants to put the same number of pencils in each of 3 pencil holders. How many pencils will he put in each pencil holder Check out this app! It's millions of students helping each other get through their schoolwork. https://brainly.app.link/qpzV02MawO square picture has an area of 225 in^2 What is the side length of the picture Somebody help me on A. And. B. Pleaseeee PLEASE HELP!!! Find the distance between the following two points: (3,7) and (5,0). Round to the nearest TENTH. a car is traveling north. can its acceleration vector ever Point South? explain What factors of -52 have the sum of -9 Compared to the equilibrium price and quantity sold in a competitive market, a monopolist will charge a ________ price and sell a ________ quantity. Group of answer choices higher; smaller lower; smaller higher; larger lower; larger none of these options is correct. HELP!!! LOTS OF POINTS AND I GIVE BRIANLEST NO FAKE ANSWERSSolve 4x 2(x + 1) = 3x + 10 a)x = 12 b)x = 12 c)x = 8 d)x = 8 describe impulse buying Find the slope of the line.x= 4Select the correct choice below and, if necessary, fill in the answer box to complete your choice.O A. The slope is m = (Type an integer or a simplified fraction.)OB. The slope is undefined.(Answer quickly) 1. Calculate the height of tree, 250 m away that producesan image 1.5cm highin apin-hole camera of width 30 cm.