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
Nesterboy [21]
3 years ago
12

Consider the line y = 7x-3.

Mathematics
1 answer:
Marina CMI [18]3 years ago
8 0

Answer:

Gradient of parallel line= 7

Gradient of perpendicular line = -  \frac{1}{7}

Step-by-step explanation:

The equation of the line is already in slope-intercept form (y= mx +c). This means that the coefficient of x is the gradient and the constant -3 is the y-intercept of the line.

y= 7x -3

Gradient= 7

Parallel lines have the same gradient.

Thus, the slope of the line parallel to this line is also 7.

The product of the gradients of 2 perpendicular lines is -1.

(Gradient of perpendicular line)(7)= -1

Gradient of perpendicular line

= -1 ÷7

=  -  \frac{1}{7}

You might be interested in
Find the values of k for which y = kx + 1 is a tangent to the curve y = 2x^2 + x +3
Dominik [7]
K = 5 or k = 3
Hope it helps-,-
8 0
3 years ago
A pizza shop offers 4 different pizza sizes 6 different meat choices and 8 different veggie toppings how many choices are possib
Juliette [100K]
4*6*8=192
So they can have 192 choices for the pizza
3 0
3 years ago
Prove the theorem (AB )^T= B^T. A^T
Lisa [10]

Answer:

(AB)^T = B^T.A^T  (Proved)

Step-by-step explanation:

Given  (AB )^T= B^T. A^T;

To prove this expression, we need to apply multiplication law, power law and division law of indices respectively, as shown below.

(AB)^T = B^T.A^T\\\\Start, from \ Right \ hand \ side\\\\B^T.A^T = \frac{B^T.A^T}{A^T}.\frac{B^T.A^T}{B^T} (multiply \ through) \\\\                = \frac{A^{2T}.B^{2T}}{A^T.B^T} \\\\=\frac{(AB)^{2T}}{(AB)^T} \ \ (factor \ out \ the power)\\\\= (AB)^{2T-T}  \ (apply \ division \ law \ of \ indices; \ \frac{x^a}{x^b} = x^{a-b})\\\\= (AB)^T \ (Proved)

3 0
3 years ago
X + 5y = 28<br> - x - 2y = -13
bazaltina [42]

Answer:

x=3

y=5

Step-by-step explanation:

x+5y=28 (i)

-x-2y=-13. (ii)

add equation 2 from equation 1

x+5y=28

-x-2y=-13

3y=15

y=5

put the value of y in equation 1

x+5y=28

x+5*5=28

x+25=28

x=28-25

x=3

8 0
3 years ago
The coefficient of x in the expansion of the following is (x+3)^3 a) 1 b) 3 c) 18 d) 27 e) 9
VashaNatasha [74]

Answer:

  d) 27

Step-by-step explanation:

The expanded form of (a+b)³ is ...

  (a +b)³ = a³ +3a²b +3ab² +b³

When we are expanding (x +3)³, the x-term is ...

  3(x)(3²) = 27x

The coefficient of x in the expansion is 27.

3 0
3 years ago
Other questions:
  • 3/8 + 4/5 in simplest form
    9·2 answers
  • mike constructed a closed box that measures 2.5 feet long by 3 feet wide by 1.5 feet high. what is the total area of the materia
    8·1 answer
  • Ronald and Tim did their laundry today. Ronald does laundry every 6 days and Tom does laundry every 9 days. How many days will i
    15·1 answer
  • Explain how to simplify the expression (-8)+(-3)+(-4)(7)/14+9(-2). Show the updated expression after each step you take.
    14·1 answer
  • Please tell me if I'm correct. If not, please tell me how you got your answer. See attatchment ASAP.
    9·1 answer
  • Help me with my math **50 pts** I mark brainliest**
    12·1 answer
  • URGENT PLEASE HELP Enter the value of (1/2) (-8) (4). Use the on-screen keyboard to enter the value in the box below.
    13·1 answer
  • Hey! 50 points for the taking...
    8·2 answers
  • WHY IS THIS GETTING DELETED?? I NEED HELP
    12·1 answer
  • Noah drove 480km in 5 hours. About how far did he drive in 2 hours?
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!