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
Scrat [10]
3 years ago
5

Show that the line with equation 4y+3x=44 is a tangent to the circle with centre (5,1) and radius 5.

Mathematics
1 answer:
viktelen [127]3 years ago
7 0

When a line is a tangent to a circle then the point of a tangent on a circle is perpendicular and also equal to the radius

So for perpendicular.

                                            P = \frac{ax+by+c}{\sqrt{a^2 + b^2} }

4y + 3x - 44 = 0

So, a = 4

      b = 3

      c = -44

      x = 5

      y = 1

Putting the values in the formula, we get

P = -4.2

Since the radius of the circle 5 is not equal  to P, The line is not a tangent to the circle.

You might be interested in
Choose all the values that are solutions to the inequality x > -4.
Galina-37 [17]
This is really simple any of the values that are larger than -4 should be correct, those values would be -3, 2, 10 (A,B,E)
7 0
3 years ago
Fred buys a video game disk for $4. There was a discount of 20%.What is the sales price
Ray Of Light [21]
The answer is this:

4 x 10 = 40 - 0.4 = 3.6


$3.60
6 0
3 years ago
Read 2 more answers
Coolshirts.com sells T-shirts. It costs the company $2.50 to make a simple T-shirt. The company marks up the price by 300%. What
klio [65]

Answer:

coolshirts.com will sell the t shirts for %7.5

Explaination:

the company pays 2.50 to make the shirt and has a 300% mark up.

300% as a decimal is 3 and then you just multiply 2.50 by 3 to get 7.5

4 0
3 years ago
Read 2 more answers
Write the quadratic equation whose roots are -2 and 1, and whose leading coefficient is 4 .
Kaylis [27]

Answer: the equation is

4x^2 + 4x - 12

Step-by-step explanation:

A quadratic equation is an equation in which the highest power of the unknown is 2.

The general form of a quadratic equation is expressed as

ax^2 + bx + c

Where

a is the leading coefficient

c is a constant

Assuming we want to write the quadratic equation in x, from the information given, the roots which are given are -2 and 1 and the leading coefficient is 4.

Therefore, the linear factors of the quadratic equation will be (x+2) and (x-1)

the equation becomes

(x+2)(x-1)

= x^2 - x +2x - 3

= x^2 + x - 3

Given a leading coefficient of 4, we will multiply the quadratic expression by 4. It becomes

4(x^2 + x - 3)

= 4x^2 + 4x - 12

7 0
3 years ago
The manager of a video game store found that 35 of the 140 people who preordered the latest baseball game canceled their orders
qaws [65]

Answer:

1/16

Step-by-step explanation:

1/16 is the answer

3 0
3 years ago
Read 2 more answers
Other questions:
  • The game room of the youth center needs carpet. sweet t found that the room measures 12 inches by 8 inches on the blueprint. if
    12·1 answer
  • A basket contains apples and oranges. some are ripe and some are not. 30% of the fruits are apples and 50% of the fruits are rip
    7·1 answer
  • My teacher said I did this wrong please help I don’t know what to do
    8·2 answers
  • Which of the following is closest to 27.8 × 9.6?. A. 280. B. 300. C. 2,800. D. 3,000
    6·1 answer
  • At a music store, 8 CDs cost $32. How much 15 CDs cost at this store?
    6·2 answers
  • The length of a city block running north to south in NYC is about 5 times 10 to the negative second power miles. The distance fr
    6·1 answer
  • I need to know the answer ASAP
    8·1 answer
  • during a fundraiser ms dowsons class raised $560 which is 25% more than mr caseys class raised. Mr caseys class raised how much
    8·1 answer
  • Find the value of tan for the angle shown.
    9·1 answer
  • Beth put $8,000 in a savings account. At the end of a year
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!