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
sesenic [268]
2 years ago
8

Find the x-intercepts of the parabola with vertex (7,-12) and y-intercept (0,135).

Mathematics
1 answer:
Ira Lisetskai [31]2 years ago
8 0

Answer:

x=9 and x=5

OR

(9,0) and (5,0)

Step-by-step explanation:

<u>Use vertex form to solve for the unknown variable</u>

y=a(x-h)^2+k\\\\135=a(0-7)^2-12\\\\147=a(-7)^2\\\\147=49a\\\\3=a

<u>Use the new equation to find the x-intercepts</u>

<u />y=3(x-7)^2-12\\\\0=3(x-7)^2-12\\\\12=3(x-7)^2\\\\4=(x-7)^2

2=x-7\\9=x

-2=x-7\\5=x

Therefore, the x-intercepts of the parabola are (9,0) and (5,0). Feel free to review the attached graph for more information.

You might be interested in
Which expression is a factor of the quadratic 6x^2-11x-35?<br><br> 2x-7, 2x-5, 2x+7, 2x+5
vovangra [49]

1. Split the second term in 6x^2 - 11x - 35 into two terms

6x^2 + 10x - 21x - 35

2. Factor out common terms in the first two terms, then in the last two terms

2x(3x + 5) - 7(3x + 5)

3. Factor out the common term 3x + 5

(2x - 7)

8 0
3 years ago
Read 2 more answers
A swimming pool is draining at a constant rate. The table shows the proportional relationship between the change in the water le
kaheart [24]

Answer:

first answer:-1.75

second:-15.75

third:-40.25

Step-by-step explanation:i am too lazy srry

6 0
3 years ago
Find the value of x
gayaneshka [121]

Answer:

42°

Step-by-step explanation:

Since all the angles in the figure add up to 180°...

180 - 54 = 126

3x = 126°

x = 126 ÷ 3 = 42

4 0
2 years ago
What is the surface area of this cylinder ( rounded to nearest tenth)​
JulsSmile [24]

Answer:

Step-62.8m^2

Step-by-step explanation:

Surface area of a cylinder =  

r = 2m, h = 3m

= 62.83185

6 0
3 years ago
How to do this question plz answer ​
harina [27]

9514 1404 393

Answer:

  300

Step-by-step explanation:

There are 25 ways to select the first student. After that student is removed from the selection pool for the second student, there are 24 ways to select the second student. This gives 25·24 = 600 ways to select 2 students <em>in a particular order</em>.

Since we don't care about the order, we can divide this number by the number of ways two students can be ordered: AB or BA, 2 ways.

  600/2 = 300

There are 300 ways to pick a combination of two students from 25.

__

<em>Additional comments</em>

This sort of selection (2 out of 25) has a formula for it, and an abbreviation for the formula.

 "n choose k" can be written nCk or C(n, k)

The function is a ratio of factorials:

  nCk = n!/(k!(n-k)!)

If you can typeset this, it is written ...

  \displaystyle\binom{n}{k}=\frac{n!}{k!\cdot(n-k)!}

This is different from the formula for the number of <em>permutations</em> of n things taken k at a time. That would be written nPk or P(n, k) = n!/(n-k)!.

5 0
2 years ago
Read 2 more answers
Other questions:
  • What is the relationship between the following ordered pairs 0,6 2,5 4,4 and 6,3 keep in mind it will be a two step process
    15·1 answer
  • What is the slope of the equation y=5/4x-7/4?
    12·2 answers
  • Find symmetric equations for the line of intersection of the planes. z = 4x − y − 13, z = 6x + 5y − 13
    5·1 answer
  • What is 1/8 of the sum of 23 and 17
    8·1 answer
  • Can someone plz help me i am confused :)
    12·2 answers
  • Help Rn help please help
    8·2 answers
  • Question 9<br> Find the volume.
    8·2 answers
  • Please answer this.
    6·1 answer
  • a train travels 16 miles in 20 minutes. at this rate how many minutes will it take to travel 12 miles​
    5·1 answer
  • How many liters are there in 70 quarts? 1 qt ≈ 0.95 L
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!