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
Alenkinab [10]
3 years ago
7

Write the equation of a line perpendicular to the line y = 2x - 3 that goes through point (4,3). Convert the line to Slope-Inter

cept Form.
Mathematics
1 answer:
timama [110]3 years ago
5 0

Answer:

y=-1/2x+5

Step-by-step explanation:

a line perpendicular to a given line will have a slope that is the negative reciprocal of the given one. this means the slope of the line perpendicular to the given one would be -1/2.

How I got this: 2 as a fraction would be 2/1, so the reciprocal would be 1/2, but we want the NEGATIVE reciprocal, so we multiply the fraction by -1, which gets us -1/2.

Now we know the slope of the equation that passes through (4,3) which is perpendicular to the given line.

y=-1/2x+b

b is the y-intercept, so we use the point (4,3) and the slope we were given to find out b.

when the point's x value is 0, the y value is the y intercept.

You might be interested in
. Andrew made an error in determining the polynomial equation of smallest degree whose roots are 3, 2+2i
KIM [24]

Answer:

Error of Andrew: Made incorrect factors from the roots

Step-by-step explanation:

Roots of the polynomial are: 3, 2 + 2i, 2 - 2i. According to the factor theorem, if a is a root of the polynomial P(x), then (x - a) is  a factor of P(x). According to this definition:

(x - 3) , (x - (2 + 2i)) , (x - (2 - 2i)) are factors of the required polynomial.

Simplifying the brackets, we get:

(x - 3), (x - 2 - 2i), (x - 2 + 2i) are factors of the required polynomial.

This is the step where Andrew made the error. The factors will always be of the form (x - a) , not (x + a). Andrew wrote the complex factors in form of (x + a)  which resulted in the wrong answer.

So, the polynomial would be:

(x - 3)(x - 2 - 2i)(x - 2+2i)=0\\\\ (x-3)(x^{2}-2x+2xi-2x+4-4i-2xi+4i-4i^{2})=0\\\\ (x-3)(x^{2}-4x+4+4)=0\\\\ (x-3)(x^{2}-4x+8)=0\\\\ x^{3}-4x^{2}+8x-3x^{2}+12x-24=0\\\\ x^{3}-7x^{2}+20x-24=0

7 0
3 years ago
The cost to join a yoga studio is $125, plus there is an additional $90 per month fee. If Kennedy has spent
Yuki888 [10]
215 +257 =15
Hope that work
4 0
3 years ago
Read 2 more answers
Peter is buying office supplies he is able to buy three packages of paper in for staplers for $40 or he is able to buy five pack
Damm [24]

<u>Answer:</u>

Cost of package of paper = 4$

Cost of stapler = 7$

<u>Explanation:</u>

Consider the cost of package of paper = x and that of stapler = y.

Now, we are given that cost of 3 paper packages and 4 staplers = 40$

Hence we get, 3x + 4y = 40 as 1st equation.

we are also given, cost of 5 paper packages and 6 staplers = 62$

Hence, the second equation is 5x + 6y = 62

Now, solving the two equations by method of elimination, we first equate coefficients of any one variable say x by multiplying 1st equation by 5 and second by 3 we get ->

15x + 20y = 200

15x + 18y= 186

Subtracting the two we get y = 7 and substituting this value of y in first equation we get x = 4

which gives the required cost of one paper package = x = 4$

and one stapler = y = 7$

7 0
3 years ago
On a number line, Karlie has to divide the space between —5 and —3 into five smaller, equal spaces. On what numbers does Karlie
Dafna1 [17]

Answer:

  {-4.6, -4.2, -3.8, -3.4}

Step-by-step explanation:

The length of the space Karlie is dividing is -3-(-5) = 2 units. Then the length of each of those equal 5 spaces will be 2/5 units = 0.4 units.

Each mark on the number line is 0.4 units to the right of the previous one. The first (left-most) mark is 0.4 units to the right of -5, so is at -5+0.4 = -4.6.

The marks have to be placed at -4.6, -4.2, -3.8, and -3.4.

3 0
3 years ago
HHHHHHHEEEEEEEEEEEEEEELLLLLLLLLLLLLLLLLPPPPPPPPPPP
Soloha48 [4]

did you get the question

8 0
3 years ago
Read 2 more answers
Other questions:
  • Which is the best estimate for the quotient of 203.12 รท 48.011?
    12·1 answer
  • How many square feet of hardwood flooring are required for a living room floor, of L.22'-0"x W.12'-"W.x13'-9"? Allow 15% for was
    10·1 answer
  • I NEED HELP ASAP 9 and 10 I will mark the right answer BRAINLIST
    5·1 answer
  • PLEASE HELP BRAINLIEST PLUS POINTS!!!!!!!!!!!!!!!!!!!
    14·2 answers
  • I need help RN. its due today before midnight.
    11·1 answer
  • Someone for the love of god please help me.
    7·2 answers
  • What do I do next? I’m confused.
    6·1 answer
  • Allison is shopping for a bag of potting soil. The table below shows the prices of different-sized bags of soil she can buy. Whi
    7·1 answer
  • What is nine-tenths of 2000?
    9·1 answer
  • Solve the following quadratic function
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!