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
Alinara [238K]
3 years ago
9

5. Write x^2 + 8x = -4y - 8 in standard form. Identify the vertex, focus, axis

Mathematics
1 answer:
nikitadnepr [17]3 years ago
4 0

Answer:

The answer to your question is:

Step-by-step explanation:

Data

                                             x² + 8x = -4y - 8

                                             x² + 8x + 16  = -4y - 8 + 16

                                             x² + 8x + 16  = -4y + 8

                                             (x + 4)² = -4(y - 2)

                                             (x + 4)² = 4(-1)(y - 2)

Vertex = (-4, 2)

p =  1

Focus = (-4, 1)

Axis of symmetry  x = -4

Directrix      y = 3

You might be interested in
Which of the following values cannot represent the side length of a triangle?
MissTica
The answer would be <span>6.5.12

A triangle couldn't be made if the total sum of the two shortest side is less than the longest side. In this case, the two shortest side would be 5 and 6. The longest side would be 12.
If you try to add the two lowest side, the result would be 5+6=11. That means even if you make the triangle with 179.99 degrees that the 5 and 6 look like a straight line, the longest side it can achieve is 11.</span>
7 0
3 years ago
Read 2 more answers
- The water level of a lake fell by 13 inches during
bezimeni [28]

Answer:

r = - 13 / 15 inches/week

Step-by-step explanation:

The numerator is 13

and the denominator is 15, then we have

r = - 13 / 15 inches/week

r < 0 since the water level of the lake fell

6 0
4 years ago
Doing research for insurance rates, it is found that those aged 30 to 49 drive an average of 38.7 miles per day with a standard
Alja [10]

Answer: 0.4302

Step-by-step explanation:

Given : Mean : \mu=\text{38.7 miles }

Standard deviation : \sigma=\text{6.7 miles }

Sample size : n=60

Also, these distances are normally distributed.

Then , the formula to calculate the z-score is given by :-

z=\dfrac{x-\mu}{\sigma}

For x=32.5

\\\\ z=\dfrac{32.5-38.7}{6.7}=-0.925373134\approx-0.93

For x=40.5

\\\\ z=\dfrac{40.5-38.7}{6.7}=0.268656\approx0.27

The p-value = P(-0.93

=P(0.27)-P(-0.93)=0.6064198- 0.1761855=0.4302343\approx0.4302

Hence, the required probability :-0.4302

3 0
3 years ago
which equation is represented by the function table below?          x's are 1,2,3,4              y's are 8,14,20,26     
Reika [66]
F: R -> R, f(x) = ax + b;
f(1) = 8 => a + b = 8;
f(2) = 14 => 2a + b = 14 => a = 6 and b =2;
f(3) = 20 => 6*3 + 2 = 20 True;
f(4) = 26 => 4*6 + 2 = 26 True;

then, f:R -> R, f(x) = 6x + 2;
4 0
3 years ago
Read 2 more answers
The length of a rectangle is three times its width. if the area of the rectangle is 300 yd2 , find its perimeter.
Svetradugi [14.3K]
Let, width = x
Length = 3x

It is given that, 3x * x = 300
3x² = 300
x² = 300 / 3
x = √100
x = 10
& 3x = 3(10) = 30

Perimeter = 2(l + w)
P = 2(10 + 30)
P = 2(40) = 80

In short, Your Answer would be 80 Yards

Hope this helps!
4 0
3 years ago
Other questions:
  • How to create a pattern with the rule n 3?
    11·1 answer
  • Compare the following numbers using division which of the statements below is expresses the relationship between the numbers
    14·2 answers
  • Steve ate 1/ 4 of a pizza, then Scott ate 1/ 3 of the pizza.
    9·2 answers
  • Create a word problem that involves speed
    15·1 answer
  • How do I find it. ..............
    9·1 answer
  • which equation, written in standard form correctly represents this scenario and indicates what the variables represent?
    12·1 answer
  • Dwayne brought 5 yards of wrapping paper how many inches of wrapping paper did he buy
    15·2 answers
  • Johannes needs to buy replacement team uniform..
    6·1 answer
  • What is the best approximation of the solution to the system to the nearest integer values?
    5·1 answer
  • The zero of the polynomial f(x) = -2x +8​
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!