1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
solmaris [256]
3 years ago
6

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

Mathematics
1 answer:
Otrada [13]3 years ago
6 0

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

If the gradient is 1, then

1 = (-3 - 4) / (<em>a</em> - 3<em>a</em>)

Solve for <em>a</em> :

1 = -7 / (-2<em>a</em>)

1 = 7/(2<em>a</em>)

2<em>a</em> = 7

<em>a</em> = 7/2

You might be interested in
What number is 18% of 250
vladimir2022 [97]
18 over 100 = x over 250, x= 45. 45 is ur answer.
7 0
3 years ago
Read 2 more answers
Formula for the area of a circle in terms of its circumference
Usimov [2.4K]
\bf \textit{circumference of a circle}\\\\&#10;C=2\pi r\qquad \qquad \implies \cfrac{C}{2\pi }=\boxed{r}\\\\&#10;-------------------------------\\\\&#10;\textit{area of a circle}\\\\&#10;A=\pi r^2\qquad \qquad \implies A=\pi \left( \boxed{\cfrac{C}{2\pi }} \right)^2\implies A=\pi \left( \cfrac{C^2}{(2\pi )^2} \right)&#10;\\\\\\&#10;A=\cfrac{\pi  C^2}{2^2\pi^2}\implies A=\cfrac{C^2}{4\pi }
5 0
3 years ago
How do I find these angle measures?
ch4aika [34]
The measure of angle 1 is 75 degrees because it is a corresponding angle with the one given of 75 degrees
the measure of angle 2 is 105 degrees because it forms a supplementary angle with the one next to it that is 75 degrees. (this means they add up to 180 degrees.
6 0
3 years ago
Read 2 more answers
if it takes 3 cups of sugar and 4 1/2 cups of flour for the recipe how many cups of flour for 4 cups of sugar
Vitek1552 [10]

Answer:6 cups

Step-by-step explanation:

3/4.5=4/x

Cross product

3x=18

X=18/3

X=6

8 0
3 years ago
A piggy bank contains 36 coins that consists of dimes and quarters totaling $5.85 how many quarters are in the piggy bank in you
Lesechka [4]
The main idea here is to "translate" the words into maths. 
First we need to identify the unknowns and label these. 

We need to know the number if dimes and the number of quarters. So lets say
x: number of dimes
y: number of quarters

Now lets write equations from the written problem. 
We know that there are 36 coind total, thus: 
x + y = 36
We also know that the coins total 5.85 dollars, but it is better to count in cents, that is 585 cents. 
x are the number of dimes, their value is x*10
y are quarters with value of y*25
thus: 
10x+25y=585

We have two equations and two unknowns now, that needs to be solved to get the answer. 

x + y = 36
10x+25y=585


4 0
2 years ago
Read 2 more answers
Other questions:
  • I need help with this ASAP plz!!!!
    8·1 answer
  • If you were to round 897.234 to the hundredths place, what would be the
    14·1 answer
  • Malik borrowed $105 from his brother and plans to repay $12 per week. He creates a table to help him determine the
    8·1 answer
  • Joe walked 2/6 of a mile on Monday. On Tuesday he walked another 2/9 of a mile. How far did joe walk on Monday and Tuesday?
    5·2 answers
  • The graph of the equation y = 4x + 2 passes through the point (1, y).
    7·2 answers
  • Your ship sinks and you swim to a nearby island. On this island, the inhabitants do not use money. The island residents use isla
    12·1 answer
  • Use the circle below to find the angle measures and arc measure
    13·1 answer
  • Help me out guys! almost to my goal.​
    10·1 answer
  • The opposite sides of a parallelogram are _____?
    9·2 answers
  • A dolphin swims 665,280 feet in 3 hours. Use the formula d = rt, where d represents distance, r represents rate, and t represent
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!