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
ra1l [238]
3 years ago
5

For which value of c is the line y=3x+c a tangent to the parabola with equation y=x^2-5x+7

Mathematics
1 answer:
Alik [6]3 years ago
6 0
Equating the y's:-

3x + c = x^2 - 5x + 7

x^2  - 8x +7 - c = 0

If y = 3x + c is a tangent then there  will be duplicate solutions to this equation 
That is the discriminant b^2 - 4ac = 0. So we have:-

(-8)^2 - 4 * 1 * (7 -c)  = 0
64 -28 + 4c = 0
4c  = - 36

so c = -9  answer
You might be interested in
Does this graph represent a function? Why or why not?
Morgarella [4.7K]

Answer:

Option D is the correct answer

Step-by-step explanation:

D. Yes, because it passes the vertical line test.

7 0
2 years ago
Six equilateral triangles are connected to create a regular hexagon. The area of the hexagon is 24a2 – 18 square units. Which is
shusha [124]
It would be 6(4a2 - 3)
you would factor out just the 6 because the 18 doesn’t a a term with it like 34a2 does. then just divide normally to get ur answer 6(4a2 - 3)
3 0
3 years ago
A pair of parallel lines is cut by a transversal:
Ivenika [448]

Answer:


Step-by-step explanation:

By using the process of elimination you can immediately disclose C and D as being incorrect.

35+85=120

180-85= 95

95=35+x

95-35=60

60-10=50

I think that is the right answer, but I am may be wrong. I hope it helps! : )

3 0
3 years ago
Read 2 more answers
Y=1/3x + 2 what is the domain?
Trava [24]

Answer:

To find the domains you must graph this equation and find the x-coordinates of the points plotted. That's the domain.

Remember, if two points have the same x-coordinate then do not repeat the number when stating the domain. Domain also always must be written in the least to greatest order. Domains must be written with {} enclosing them.

So if the x-coordinates were 4,5,6,4,7,5

You would write the domain as {4,5,6,7}

5 0
3 years ago
Read 2 more answers
Which series of transformations shows that rectangle A is similar to rectangle B?
Brut [27]

Answer:

D. Dilate rectangle A by a scale factor of 3 with the center of dilation at the origin and rotate it 90° clockwise about the origin.

Step-by-step explanation:

The coordinates of triangle A are (-2,1) , (1,1), (1,-1) and (-2, -1) while that of triangle B are (-3, 6), (3, 6), (3, -3) and (-3, 3).

To transform A to be we need a combination of two transformations, and that is dilation and rotation.

If A is dilated by a scale factor three through the origin as the center of dilation and then rotated through 90° clockwise with the origin as the center of origin, then rectangle B will be obtained.

8 0
3 years ago
Read 2 more answers
Other questions:
  • (2^8 ⋅ 3^−5 ⋅ 6^0)^−2 ⋅ 3 to the power of negative 2 over 2 to the power of 3, whole to the power of 4 ⋅ 2^28 (5 points) Write y
    14·1 answer
  • The price of a notebook was $3.70 yesterday. Today, the price fell to $3.20. Find the percent decrease
    7·1 answer
  • 39= 3m - 12<br><br> I'd really appreciate it if you showed your work.
    9·2 answers
  • the total number of living humans on arth was converted to scientific notation using an online caculation and was reported to be
    11·1 answer
  • What is exact value of cos7pi/6
    13·1 answer
  • Which of the statements about the following quadratic equation is true? 6x^2-8=4x^2+7x
    8·2 answers
  • Gabriella went skiing. She paid $35 to rent skis and $15 an hour to ski. If she paid $95 how many hours did she ski? Write an eq
    9·2 answers
  • I NEED HELP !!!!!!!! 20 POINTS
    11·1 answer
  • What is the slope of a l8ne that contains the points (34,12) and (32,48)
    5·1 answer
  • a car can travel 540 miles in the same time it takes a bus to travel 180 miles. if the rate of the bus is 40 miles per hour slow
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!