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
stich3 [128]
3 years ago
5

the vertex of a quadratic function is (6, 2), and the y-intercept of the function is (0, −70). the equation of the function in v

ertex form, f(x) = a(x - h)2 k, is shown. –70 = a(0 – 6)2 2 what is the value of a?
Mathematics
2 answers:
Kamila [148]3 years ago
6 0

<u>Answer-</u>

<em>The value of a is </em><em>-2</em>

<u>Solution-</u>

The vertex form of parabola-

y=a(x-h)^2+k

Where, vertex is at (h, k)

Given that the vertex is at (6, 2), so equation would be

y=a(x-6)^2+2

As the y intercept is the point which lies on the parabola, so it must satisfy the parabola equation.

\Rightarrow -70=a(0-6)^2+2

\Rightarrow -70-2=a(-6)^2

\Rightarrow a(6)^2=-72

\Rightarrow 36a=-72

\Rightarrow a=-2

My name is Ann [436]3 years ago
5 0
Hello,
++++++++++++++++
f(x)=a(x-6)²+2
f(0)=-70==>a(-6)²+2=-70===>36a=-72==>a=-2
++++++++++++++++++++

You might be interested in
A tree casts a shadow 21m long. The angle of elevation of the sun is 55 degrees. What is the height of the tree?
Orlov [11]

Answer:

The height of the tree is about 30 feet.

Step-by-step explanation:

tan(55) = h/21

*21          *21

21*tan(55)=h

29.99=h

h=29.99=30 feet

4 0
3 years ago
There are 7 gallons of black paint available to motorola. If 5/9 gallons is used each run, How many runs can we paint?
nadya68 [22]

There are 7 gallons of black paint available to motorola. If 5/9 gallons is used each run. To find the amount of runs you can paint, you have to divide the total by the amount for each run.

7 \div \frac{5}{9}

When dividing fractions, you have to keep, change, and flip.

Keep\ 7 \\ Change\ \div\ to\ \times \\ Flip \frac{5}{9} = \frac{9}{5}

Your new equation is:

7 \times \frac{9}{5}

Multiply:

7 \times \frac{9}{5} = \frac{63}{5} = 12 \frac{3}{5}

You can paint 12 \frac{3}{5} or 12.6 runs.

4 0
3 years ago
The drawing below is an example of what kind of perspective?
sladkih [1.3K]

Answer:

  Two-point

Step-by-step explanation:

"Orthogonal" lines intersect the horizon at two points. This is an example of 2-point perspective.

3 0
3 years ago
50 is 20% of what number
Tresset [83]
20% of a number is 1/5th of it so 50 × 5 is 250
6 0
3 years ago
The time a cake must bake is between 25 minutes and 30 minutes, inclusive
KatRina [158]
I honestly don’t know wish I could help
5 0
3 years ago
Other questions:
  • The numbered disks shown are placed in a box and one disk is selected at random. find the probability of selecting an oddodd ​nu
    8·1 answer
  • Express the decimal as a percent. 0.24
    8·2 answers
  • diane charges $10 for a house call plus $35 an hour for electrical work. if she made $150 on one job,how many hours did she work
    12·2 answers
  • Which graph represents (,y)-pairs that make the equation y = 2x true?
    15·1 answer
  • Review Word Problems ?
    13·1 answer
  • Yearly tuition, housing, and fees for a local college are $10,500, $1300, and $2170 respectively. You have saved $3100 and have
    10·1 answer
  • Graph the numbers that are solutions to both inequalities below.
    9·1 answer
  • likewise 133 degree is equal to 87 degree in the second at what temperature will both thermometer read the same​
    15·1 answer
  • Choose all the expressions that are equal to 27,000 ÷ 30
    11·1 answer
  • Help?? PLS??ASAP??YES?? TY?
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!