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
Orlov [11]
3 years ago
13

What is the focus of the parabola? y=−1/4x^2−x+3

Mathematics
1 answer:
Delvig [45]3 years ago
5 0
We know that
the equation of the parabola is of the form
y=ax²+bx+c

in this problem
y=−1/4x²<span>−x+3
where
a=-1/4
b=-1
c=3

</span><span> the coordinates of the focus are
</span>
(-b/2a,(1-D)/4a)
where
D is the discriminant b²-4ac
D=(-1)²-4*(-1/4)*3-----> D=1+3---> D=4
therefore
x coordinate of the focus
-b/2a----> 1/[2*(-1/4)]----> -2

y coordinate of the focus
(1-D)/4a------> (1-4)/(-4/4)---> 3

the coordinates of the focus are
(-2,3)
You might be interested in
Solve for k 5/8(3k+1)-1/4(7k+2)=1
lesya [120]

Answer:

<h2>k = 7</h2>

Step-by-step explanation:

\dfrac{5}{8}(3k+1)-\dfrac{1}{4}(7k+2)=1\qquad\text{multiply both sides by 8}\\\\8\!\!\!\!\diagup^1\cdot\dfrac{5}{8\!\!\!\!\diagup_1}(3k+1)-8\!\!\!\!\diagup^2\cdot\dfrac{1}{4\!\!\!\!\diagup_1}(7k+2)=8\cdot1\\\\5(3k+1)-2(7k+2)=8\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\(5)(3k)+(5)(1)+(-2)(7k)+(-2)(2)=8\\\\15k+5-14k-4=8\qquad\text{combine like terms}\\\\(15k-14k)+(5-4)=8\\\\k+1=8\qquad\text{subtract 1 from both sides}\\\\k=7

3 0
3 years ago
Priya has a recipe for banana bread. She uses 7 1/2 cups of flour to make 3 loaves of banana bread. Andre will follow the same r
DochEvi [55]

9514 1404 393

Answer:

  A.  b = 2/5f

Step-by-step explanation:

Andre's equation is in the form ...

  b = kf

The value of k can be found by dividing by f:

  b/f = k

For Priya's recipe, the values are ...

  b/f = k = 3/7.5 = 2/5

Andre's equation is ...

  \boxed{b=\dfrac{2}{5}f}

4 0
2 years ago
Identify the coefficient of the variable term of the polynomial 5x^4-2x^2 8x-3
Jobisdone [24]
The coefficient of x^4 and the leading coefficient is 5
the coefficient of x^2 is -2
the coefficient of x is 8
6 0
3 years ago
Read 2 more answers
Eli walked 12 feet down the hall of his house to get to the door. He conti in a straight line out the door and across the yard t
EastWind [94]

Answer:

a. Check the diagram

b. He walked 58 feet

c. He is 18 feet far away from the house

Step-by-step explanation:

a. Eli started inside the house an walked 12 feet (blue arrow), after that he keep walking until the mailbox for 32 feet (green arrow) and after that he came back until the dog 14 feet (red arrow).

b. For calculating how far has he walked we need to take into acount all the travel so we add all the arrows:

12ft + 32ft + 14ft =58ft

He walked 58 feet.

c. The distance from the dog to the house is determine by the substraction between the distance to the mailbox with the distance he walked to the dog then:

32ft - 14ft = 18ft.

He is 18 feet far away from the house.  

6 0
3 years ago
Help pleaseeeee!!!!??????
garik1379 [7]
From the given information we can assume that (-1; 2) point is the same as x=-1 and y=2.

The easiest way to solve this problem is to put -1 and 2 instead of x and y

in this way you will get answer C

2 - 2 = (3/2)*(1 - 1) which means that 0 = 0 and this answer is correct.

Answer: C
6 0
3 years ago
Read 2 more answers
Other questions:
  • Find the Taylor series for f(x) centered at the given value of a. [Assume that f has a power series expansion. Do not show that
    10·1 answer
  • Find the measure of &lt;1<br> A.) 30<br> B.) 45<br> C.) 15<br> D.) 60
    6·1 answer
  • A parking garage has spaces for 70 cars and charges each driver $6 per day for parking. If the garage is full, how much more wou
    9·2 answers
  • What is 1.179 rounded to the nearest 2dp
    5·1 answer
  • Use the equation P=10-2.5c<br> find P when c=3.2
    15·2 answers
  • An angle measures 70 degrees. Identify the type of angle
    14·1 answer
  • 30km=?miles<br>44,000in=?cm<br>21ft=?m<br>0.75miles=?dam<br>133yards=mm<br><br>Please show your work
    6·1 answer
  • You are fishing and are allowed to catch at most 3 striped basses. Each striped bass must be no less than 18 inches long. a. Wri
    6·1 answer
  • What is the factor form of the polynomial X2-12+27
    11·1 answer
  • What does x = answer choices<br> 4<br> 16<br> 9
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!