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
GrogVix [38]
3 years ago
8

A line passes through the point (4,–2) and is perpendicular to the line with the equation y = 2⁄3x + 4. What's the equation of t

he line?
Mathematics
1 answer:
algol133 years ago
8 0

Answer:

y= -3/2x + 1

Step-by-step explanation:

The slope of this line is 2/3. The slope of the line perpendicular to this line will be the negative reciprocal or -3/2.

Write the equation using the slope m=-3/2 and the point slope form.

y-y_1=m(x-x_1)\\y--2=-\frac{3}{2}(x-4)\\y+2=-\frac{3}{2}(x-4)

This is the equation of the line. You can convert it to slope intercept form:

y+2=-\frac{3}{2}(x-4)\\y+2 = -\frac{3}{2}x + 3\\y=-\frac{3}{2}x +1

You might be interested in
Warren ordered a pizza with a mix of toppings. It was cut into 12 equal slices, and 1/3
aalyn [17]

Answer:

i think that the answer is B. 4

6 0
3 years ago
Noah has $50. He wants to buy a cell phone case for $20 and some accessories. Each accessory costs $8. How many accessories (x)
levacccp [35]

Answer:

Noah can buy 2 accessories.

Step-by-step explanation:

Given:

Money Noah has = $50

Cost of Cell phone case = $20

Cost of each accessory =$8

Amount he wants to be left = $8

So Total Amount he he wants to spend on accessories and Cell phone case will be equal to Money Noah has minus Amount he wants to be left.

framing in equation form we get;

Total Amount he he wants to spend on accessories and Cell phone case = \$50-\$8 =\$42

No we need to find the number of accessories Noah can buy.

Let the number of accessories be 'x'.

Now we can say that;

Cost of Cell phone case plus Cost of each accessory multiplied by number of accessories should be less than or equal to Total Amount he he wants to spend on accessories and Cell phone case.

framing in equation form we get;

20+8x\leq 42

Subtracting both side by 20 we get using Subtraction property of Inequality.

20+8x-20\leq 42-20\\\\8x\leq 22

Now Dividing both side by 8 using Division property of Inequality we get;

\frac{8x}{8}\leq \frac{22}{8}\\\\x\leq 2.75

Now rounding to whole number we get ;

x\leq 2

Hence Noah can buy 2 accessories.

8 0
3 years ago
Five friends earn a total of $50 doing yard work in their neighborhood. Each friend earns the same amount. Use the equation 5f =
Natasha_Volkova [10]

Answer:

Each friend earned 10 dollars. 50÷5=10

4 0
3 years ago
Determine whether each of these sets is the power set of aset,wherea and b are distinct elements. a) ∅ c) {∅,{a},{∅,a}} b) {∅,{a
bija089 [108]

Answer:

{∅, {a}, {b}, {a,b}}

Step-by-step explanation:

The value of power of a set is generalized by using the formula,

Power of a set (P) = 2^n where n is the number of element in the set.

Given two distinct elements a and b say;

A = {a,b}

n(A) = 2 i.e the number of elements in the set is 2. Therefore the power of the set will be 2^n which gives 2^2 = 4.

P(A) = 4 means there are 4 subsets of the given set. Subsets are sets of elements that can be found in the set. The subsets of element A will be;

{∅, {a}, {b}, {a,b}} which gives 4 elements in total.

Note that empty set ∅ is always part of the subset of any given set

3 0
4 years ago
What type of experimental design did Betty use?
cupoosta [38]

Answer:

C.) completely randomized experimental design

Step-by-step explanation:

Edge 2020

6 0
3 years ago
Other questions:
  • In circle V, angle WXZ measures 30°. Line segments WV, XV, ZV, and YV are radii of circle V. What is the measure of in circle V?
    5·1 answer
  • A manufacturer of piston rings for automobile engines frequently tests the width of the rings for quality control. Last week, a
    11·1 answer
  • I will give you brainliest.
    6·1 answer
  • Use the distributive property to simplify: 4 (3m - 6)
    8·1 answer
  • What is 16-2k=14? somebody help pls​
    14·2 answers
  • Twenty-five sixth-grade students answered the question: "How many hours do you generally spend on homework each week?"
    10·1 answer
  • A
    6·2 answers
  • Which of the following is a rational function?
    14·1 answer
  • On Monday, 350 people bought tickets to the county fair. Tickets cost $7 for
    10·1 answer
  • 13 Points. Find the perimeter.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!