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
leonid [27]
3 years ago
9

I forgot how to do this if you could help with one that would be great thanks!

Mathematics
1 answer:
Anna35 [415]3 years ago
8 0
If the relationship is parallel, you find the gradient/slope (m) in the equation y=mx+c. Then substitute the point and the gradient/slope into the equation y-y1=m(x-x1), after that you work it out algebraically making y the subject.

Question 1... Line: y=3x+5   Point: (1/3, 4)   Relationship: Parallel
m = 3      y-4=3(x-1/3)
               y-4=3x-1
                  y=3x+3

If the relationship is perpendicular then you find the gradient/slope (m) from the equation y=mx+c, after doing that you sub m into the equation m1*m2= -1 (solve algebraically to make m2 the subject). Then you substitute the answer of m2 and the points into the equation y-y1=m2(x-x1).

Question 5... Line y=-3x+5   Point: (3, 2)   Relationship: Perpendicular
m= -3
-3*m2= -1            y-2=1/3(x-3)
     m2= 1/3          y-2=1/3x-1
                               y=1/3x+1

I can send you the photo of the working if you wish, since it's a bit hard to read online.
You might be interested in
1. The height of a missile t seconds after it has been fired is given by h=4.9t^2+44.1t. How many seconds will it take for the r
asambeis [7]

Answer:

The rocket will take 4.5 seconds to reach its maximum height.

Step-by-step explanation:

The height of a missile t seconds after it has been fired is given by h=-4.9*t²+44.1*t

This function is a quadratic function of the form f (x) = a*x² + b*x + c. In this case a=-4.9, b=44.1 and c=0

To calculate how many seconds it will take for the rocket to reach its maximum height, I must calculate the maximum of the function. The maximum of a quadratic function is the vertex of the parabola. The x coordinate of the vertex will be simply: x=\frac{-b}{2*a}. The y coordinate of the vertex corresponds to the function evaluated at that point.

In this case the x coordinate of the vertex corresponds to the t coordinate. In other words, by calculating the x coordinate of the vertex, you are calculating the maximum time t it will take for the rocket to reach its maximum height. So:

t=\frac{44.1}{2*(-4.9)}

t=4.5

<u><em>The rocket will take 4.5 seconds to reach its maximum height.</em></u>

7 0
2 years ago
Find the surface area of the composite solid. round the answer to the nearest hundredth.
lubasha [3.4K]
The picture in the attached figure

[surface area of the composite solid]=1*(4*6)+2*(4*4)+2*(4*6)+2*(4*√13/2)+2*(6*2√2/2)
[surface area of the composite solid]=24+32+48+4√13+12√2
[<span>surface area of the composite solid]=135.39 yd</span>²

the answer is
135.39 yd²

5 0
3 years ago
How many unit cubes would it take to completely fill the prism with no gaps between unit cubes?
Lemur [1.5K]

Answer:

72 cubes

Step-by-step explanation:

Top view of the rectangular prism shows the unit cubes arranged in two rows along the length.

In each row number of unit cubes arranged = 9

Right view side of the prism shows the unit cubes arranged in two columns.

Number of unit cubes in each column = 4

Total number of cubes arranged in the prism = (Number of cubes in each row × Number of cubes arranged in two columns) × Number of columns

= (9 × 4) × 2

= 72

Therefore, number of cubes filled completely in the prism with no gaps = 72

6 0
3 years ago
Which are irrational and which are rational ?
a_sh-v [17]

Answer: 8/9 is rational

.2593 irrational

square root of 7: irrational

square root of .25 is rational

square root of 14: irrational

0 is a: rational

square root of 280: irrational

square root of 35: is irrational

.2222: is rational

square root of 3r is a rational number......

Step-by-step explanation:

8 0
3 years ago
at a party, everyone shook hands with everybody else. there were 66 handshakes. How many people shook hands?
Whitepunk [10]

Answer:

12

Step-by-step explanation:

0 + 1 + 2 + 3+ 4 + 5 + 6 + 7 +8 + 9 + 10 + 11 seems to equal 66. That means there are 11 + 1 = 12 people (don’t forget to count the person who shakes 0 hands)

7 0
3 years ago
Other questions:
  • A right triangle's hypotenuse is 10 inches long. The length of one leg of a right triangle is 2 inches more than the second leg.
    7·2 answers
  • I AM OFFERING 50 POINTS FOR THIS ANSWER. PLEASE HELP ME !
    7·1 answer
  • Mrs. conley asks her class what kind of party they want to have to celebrate their excellent behavior. out of all the students i
    11·1 answer
  • The camping club wants to rent rafts. each raft can hold 8 people. which equation could be used how many rafts needed for 32 peo
    11·2 answers
  • 9.The following set represents a set of rational numbers: {12.6,11/15,___,0} which could be the missing value in the set?
    10·1 answer
  • Find the product of 98 and 863
    15·2 answers
  • Miss Gonzales opened an account with a deposit of $2,000,
    15·1 answer
  • Is 5.4 irrational or rational
    5·1 answer
  • According to the article, "How Can Your Smartphone Make Water Safe to Drink," less than 1% of phone's battery disinfects how muc
    12·1 answer
  • Question on image. (calculus)
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!