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
11111nata11111 [884]
3 years ago
6

Determine the coordinates of the vertex and horizontal intercepts of the parabola. (If an answer does not exist, enter DNE.)

Mathematics
1 answer:
kogti [31]3 years ago
7 0
<span>f(x) = −7(x + 12)² + 14</span>
 the coordinates of the vertex are (-12;14)
  f(x)=-7(x²+24x-144)+14
f(x)=-7x²-168x+1008+14
f(x)=-7x²-168x+1022=0
7x²+168x-1022=0
x=\frac{-168+- \sqrt{ 168^{2} +4*7*1022} }{14}=\frac{-168+- \sqrt{56840} }{14}=\frac{-168+-14 \sqrt{290} }{14}=-12+-√290
x₁=-12-√290
x₂=-12+√290
Answer: the coordinates of the vertex are (-12;14),
horizontal intercepts are x₁=-12-√290, x₂=-12+√290




You might be interested in
Which expression is equivalent to 2(5 – 3x)?
Phoenix [80]

Answer:

the answer is 10-6x (B)

7 0
3 years ago
Read 2 more answers
An animal shelter houses only cats and dogs, and there are 25% more cats than dogs. If there are 40 cats, how many dogs are ther
Inessa [10]
X is  the number of dog
y is the number of cats , y=40
25% of x is  25*x /100=25x/100=x/4
<span>and there are 25% more cats than dogs means y+ x/4=x implies 40=(3/4)x
</span>x=160/3=53
so the number of dogs is 53 and the number of cats is 40
the total number is 53+40=93




5 0
3 years ago
Read 2 more answers
Line WY is an altitude in triangle WXZ. If ΔYWZ ~ ΔYXW, what is true about XWZ? XWZ is an obtuse angle. XWZ is a right angle. XW
topjm [15]
<span>In triangle WXZ,

Line WY is an altitude (as shown in the attached picture)
Now, it is given that:
</span><span>If ΔYWZ ~ ΔYXW
</span>∠WXY = ∠WZY
<span>
Then, we can also conclude 
</span>∠WYX = ∠WYZ = 90°....(1) (because WY is the altitude)

Now, in any triangle, the sum of all the three angles is 180.

In triangle, WXY, ∠WYX = 90° (From 1)
Therefore, WXY + XWY = 90°

Similarly, in WZY.

Hence, we conclude that XWZ is a right angle.

7 0
3 years ago
Read 2 more answers
Which statements describe a parallelogram that must be a rectangle? Select each correct answer. parallelogram with opposite side
Delicious77 [7]

The following statements are true for a parallelogram that must be a rectangle.

parallelogram with a right angle

parallelogram with congruent diagonals

A Parallelogram is a flat shape with opposite sides parallel and equal in length. Squares, rectangles and rhombuses are all parallelograms but with slight differences.

5 0
3 years ago
The height of a lighthouse in Pensacola, Florida, is 150 feet. Standing next to the statue, Natalie casts a 1.1-foot shadow. She
iogann1982 [59]

30 feet

Step-by-step explanation:

  • Since Natalie is standing right next to the Penthouse, we can establish the ration between her height and the shadow she casts, which is;

           1.1 : 5.5

  • The two are related by a factor of 1/5
  • We can use this factor to establish the shadow cast by the penthouse;

       1/5 * 150

        = 30

Learn More:

For more about relationships by ratios check out;

brainly.com/question/11961256

brainly.com/question/12548098

#LearnWithBrainly

5 0
3 years ago
Other questions:
  • Pls help pls help pls help
    6·2 answers
  • F(x)=2x^2-x-10 part a: what are the X intercepts of the graph of f(x)? Show your work
    8·1 answer
  • Jack has $25 to spend at the mall. Write an inequality that expresses symbolically the amount of money, m, that jack can spend
    14·1 answer
  • Angle a and angle b are vertical angles with measue of angle a=x and measure of angle b=5x-80​
    14·1 answer
  • 7. Write the slope-intercept form of the equation that passes through the point (2, 3) and is perpendicular to the line y = 5/8x
    12·1 answer
  • People can reduce the number of conflicts in which they are involved if they learn how to identify the causes of confilct
    13·1 answer
  • Customers can pick their own blueberries at blueberry hill. They pay$5 to enter the patch and $4 per pound for the blueberries t
    6·1 answer
  • The seventh-grade class earned 40% of the selling price of each flower. In September, they sold 900 flowers. In October, they so
    8·2 answers
  • Which expressions are equivalent? Choose ALL that apply.
    11·2 answers
  • Help please I’ll give BRAINLEST thing if u do easy
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!