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
miss Akunina [59]
2 years ago
10

Does the point (-4, 2) lie inside or outside or on the circle x^2 + y^2 = 25?​​

Mathematics
2 answers:
irakobra [83]2 years ago
8 0

Answer:

These points lie INSIDE THE CIRCLE

hope it helps

have a nice day

Lostsunrise [7]2 years ago
3 0

Given equation of the Circle is ,

\sf\implies x^2 + y^2 = 25

And we need to tell that whether the point (-4,2) lies inside or outside the circle. On converting the equation into Standard form and determinimg the centre of the circle as ,

\sf\implies (x-0)^2 +( y-0)^2 = 5 ^2

Here we can say that ,

• Radius = 5 units

• Centre = (0,0)

Finding distance between the two points :-

\sf\implies Distance = \sqrt{ (0+4)^2+(2-0)^2} \\\\\sf\implies Distance = \sqrt{ 16 + 4 } \\\\\sf\implies Distance =\sqrt{20}\\\\\sf\implies\red{ Distance = 4.47 }

Here we can see that the distance of point from centre is less than the radius.

Hence the point lies within the circle .

You might be interested in
Amir stands on a balcony and throws a ball to his dog who is at ground level. The ball's height, in meters above the ground, aft
telo118 [61]

Answer:

Time t = 2 seconds

It will reach the maximum height after 2 seconds

Completed question;

Amir stands on a balcony and throws a ball to his dog who is at ground level. The ball's height, in meters above the ground, after t seconds that Amir has thrown the ball is given by:

H (t) = -(t-2)^2+9

many seconds after being thrown will the ball reach its maximum height?

Step-by-step explanation:

The equation of the height!

h(t) = -(t-2)^2 + 9 = -(t^2 -4t +4) + 9

h(t) = -t^2 +4t -4+9

h(t) = -t^2 + 4t +5

The maximum height is at dh/dt = 0

dh/dt = -2t +4 = 0

2t = 4

t = 4/2 = 2

Time t = 2 seconds

It will reach the maximum height after 2 seconds

8 0
3 years ago
Select the undefined term that best defines the arrow pictured
rodikova [14]
What is the slope of the line through the point A(-3,4) and B(2,-1)
Best answer
A -1
B 1
C -3
D - 1/3
8 0
3 years ago
Find the slope of the line through each pair of points.<br> (2, -4), (5,-8)
slega [8]

Answer:

m=-\frac{4}{3}

Step-by-step explanation:

Slope=m=\frac{y_2-y_1}{x_2-x_1}

Here

(x_1, y_1)=(2, -4) \ \ and \ \  (x_2, y_2)=(5, -8)

m=\frac{-8-(-4)}{5-2}

m=-\frac{4}{3}

8 0
3 years ago
What is the topic of an informational writing piece? (1 point) the subject or focus of your writing the formal meanings of words
Lyrx [107]

Answer:

Chapter 1. ... An expository essay allows the writer the opportunity to explain his or her ideas ... Facts. Explanations. Details. Definitions. It may also include the writer ... The first body section or paragraph should focus on one of your main points ... You will learn about the different ways to organize your body paragraphs in ...

Step-by-step explanation:

an error occurred while processing this directive] TIP Sheets > Writing Skills: Style, ... The main point of a piece of writing, often stated in a thesis statement or topic sentence. ... into a pattern or style; the way in which the content of writing is organized. ... and autobiographical information, often a source of ideas for writing.Whether you are messaging a colleague, writing to your manager, creating the ... may label and group the stages in various ways, the stages of the writing process are ... information to support or explain what you want to say about your subject, and ... in general at the beginning of prewriting before focusing on your topic.

t can be an individual object or a group of objects. ... As an information report is a factual piece of writing with a focus on attention to ... When putting together an information report you need to know your topic well so be ... should reinforce points made in the text, often in a condensed way. ... 1. Define the Scope of the Topic.

This step-by-step guide on expository writing includes expository essay ... Parents, does your student need assistance with writing an expository essay? ... of a subject based on facts—with no references to the writer's opinions or emotions. A typical expository writing prompt will use the words “explain” or “define,” such as in, ...

8 0
3 years ago
If two circles are externally tangent, it is not possible to draw an external tangent line. True/False
kotykmax [81]

Answer:

I think its true

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Other questions:
  • What is an integer equivalent to 9 3/2
    12·1 answer
  • What is the first step to simplify the expression: [–23 – [5 · (2 – 4)]] ÷ 32
    10·2 answers
  • What is the equation of the polynomial function?
    12·1 answer
  • Write a fraction, less than 1, with a denominator of 6 that is greater than 3/4
    13·2 answers
  • Venn Diagrams contain how many sets, depicted by circles?
    14·2 answers
  • How to differentiate y=x^n using the first principle. In this question, I cannot use the rule of differentiation. I have to do t
    8·1 answer
  • 100 points!!!Please help me I suck at math
    11·2 answers
  • Answer this equation<br> −4x+5=−4x−5
    11·2 answers
  • Please solve this question
    12·2 answers
  • 81 is what percent of 90?​
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!