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
Leviafan [203]
3 years ago
14

If the point (a,1) lies on the line y = 3x - 5, what is the value of a?

Mathematics
1 answer:
stellarik [79]3 years ago
4 0

Answer:

a = 2

Step-by-step explanation:

Note that a point uses (x , y).

y = 1

x = a

Plug in 1 for y in the equation, and a for x:

y = 3x - 5

1 = 3a - 5

Isolate the variable, a. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First add 5 to both sides:

1 (+5) = 3a - 5 (+5)

1 + 5 = 3a

6 = 3a

Next, divide 3 from both sides:

(6)/3 = (3a)/3

a = 6/3

a = 2

2 is your value for a.

~

You might be interested in
Evaluate the expression 1/4[x(2y+3z)] x=8 y=3z=5/3​
ladessa [460]

Answer:

Step-by-step explanation:

x = 8  ; y = 5/3

3z = \dfrac{5}{3}

\dfrac{1}{4}[x(2y+3z)] =\dfrac{1}{4}[8*(2*\dfrac{5}{3}+\dfrac{5}{3})]\\\\=\dfrac{1}{4}(8*(\dfrac{10}{3}+\dfrac{5}{3})]\\\\=\dfrac{1}{4}(8*\dfrac{15}{3})\\\\=\dfrac{1}{4}*8*5\\\\=2*5\\\\=10

4 0
2 years ago
Consider the parabola r​(t)equalsleft angle at squared plus 1 comma t right angle​, for minusinfinityless thantless thaninfinity
kodGreya [7K]

Given:-   r(t)=< at^2+1,t>  ; -\infty < t< \infty , where a is any positive real number.

Consider the helix parabolic equation :  

                                              r(t)=< at^2+1,t>

now, take the derivatives we get;

                                            r{}'(t)=

As, we know that two vectors are orthogonal if their dot product is zero.

Here,  r(t) and r{}'(t)  are orthogonal i.e,   r\cdot r{}'=0

Therefore, we have ,

                                  < at^2+1,t>\cdot < 2at,1>=0

< at^2+1,t>\cdot < 2at,1>=

                                              =2a^2t^3+2at+t

2a^2t^3+2at+t=0

take t common in above equation we get,

t\cdot \left (2a^2t^2+2a+1\right )=0

⇒t=0 or 2a^2t^2+2a+1=0

To find the solution for t;

take 2a^2t^2+2a+1=0

The numberD = b^2 -4ac determined from the coefficients of the equation ax^2 + bx + c = 0.

The determinant D=0-4(2a^2)(2a+1)=-8a^2\cdot(2a+1)

Since, for any positive value of a determinant is negative.

Therefore, there is no solution.

The only solution, we have t=0.

Hence, we have only one points on the parabola  r(t)=< at^2+1,t> i.e <1,0>




                                               




6 0
3 years ago
Use the Distributive Property to find (7 - 4)8 written as an equivalent expression. Then evaluate the expression.
mina [271]
24
Using distributive property it would be 24.
6 0
2 years ago
Find the area!!!!!!!!!!
Helen [10]

Answer:

87.5

Step-by-step explanation:

Area = 11+7

             ---  x 7

              2

OR

Area = a+b/2 x h

4 0
3 years ago
The formula for the volume of a cube is V = s³, where s represents the side length of the cube. If a cube has a side length of 4
Alla [95]

Answer:

91.125 or 729/8

Step-by-step explanation:

take 4.5^3 to get 91.125

7 0
3 years ago
Read 2 more answers
Other questions:
  • In a school election, 3/4 of the students vote. There are 1464 ballots. Write and solve and equation to find the number of stude
    15·1 answer
  • May u help me dind the answer for this problem please
    8·1 answer
  • The local humane society has 5 cats, 9 dogs, and 2rabbits that need home. What fractional part of these pets are cats?
    9·1 answer
  • “An A grade will be given to students having at least 450 total test points. There are two more tests to take before the semeste
    9·1 answer
  • Which expression is equivalent to? Assume x &gt; 0 and y &gt; 0.
    13·2 answers
  • Need some help here please
    13·1 answer
  • Use a proportion to find 70% of 34.<br> will Mark brainlest
    15·2 answers
  • The fee for charging an electric car at station A is $2 to start and $4 for each hour or fraction of an hour. Which point is NOT
    10·1 answer
  • IN YOUR OWN WORDS, describe how to find the mean of a set of numbers.
    12·1 answer
  • Iddijdishsjsjssjsjdjdj
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!