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
Slove the following equation.<br>6n - 3(n + 2) + 3(7n + 1) = 0​
Otrada [13]

Answer:

here is my working out to find answer, if u feel that the answer is wrong then do the reverse calculation by putting n value to the equation. hope u understood and stay safe!

6 0
3 years ago
How do you convert from a radical expression to a rational exponent?
Murljashka [212]
 The denominator of the raised fraction is what goes on the outside of the square root. So if you had 2 raised to 1/3, you'd put the 3 raised outside to the left of the radical and the 2 inside. They give the same answer, so if you know one, you can always play with the other until you get the same answer. My teacher told us in Calculus a funny/weird way to remember it is the "bottom (of the raised fraction) goes in the crack (of the radical)." Does this help??
5 0
3 years ago
Find the equivalent expression for 3+2[2p+4t]
Sauron [17]

Answer:

3 + 4p + 8t

Step-by-step explanation:

3+2[2p+4t]

Distribute

3 + 4p + 8t

There are no like terms to combine

7 0
3 years ago
2. Use the graph of y=-X2 - 2x + 3 to solve
natita [175]

Answer:

Solution is x=-3 and x =1, because that is zero od function y=-x^2-2x+3

8 0
4 years ago
You and some friends are going to the fair. Small rides costs 4 tickets and while big rides costs 7 tickets. You and your friend
tensa zangetsu [6.8K]

Answer:

<em>4x+7y≤250</em>

Step-by-step explanation:

<u>Inequalities</u>

Let's call:

x = number of small rides

y = number of big rides

Since each small ride costs 4 tickets, x rides cost 4x tickets.

Since each big ride costs 7 tickets, y rides cost 7y tickets.

The total number of tickets is the sum of both:

Total tickets = 4x+7y

The friends have 250 tickets, so the total tickets of the rides cannot be greater than the 250 tickets available, thus:

4x+7y≤250

7 0
3 years ago
Other questions:
  • What is the volume of a right rectangular prism with a length of 2 1/3 ft, a width of ​ 1 1/2 ​ ft, and a height of ​ 3 3/4 ​ ft
    11·1 answer
  • Find the product.
    8·1 answer
  • You earn 33$ for 4 hours of work. find the unit rate of dollars per hour?
    7·2 answers
  • How do you find the area
    7·1 answer
  • Write a word problem that can be solved by ordering three decimals to thousandths. Include a solution
    13·1 answer
  • Construct the triangle ABC using as coordinates of its vertices points A(−3, 0), B(4, 5), C(0, −4). Find the coordinates of inte
    12·1 answer
  • Members of the Science Club went to a history museum. It cost $7.25 for each member of the club. If 90 members went to the museu
    6·1 answer
  • Find the dimensions of the cube.<br> ​
    15·2 answers
  • can i please get an answer for this and a vivid explanation of how to solve it please. WILL MARK AS BRAINLIEST!
    13·2 answers
  • Answer this fully! i need to know what x equals
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!