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
Stolb23 [73]
2 years ago
13

What is the radius of a circle whose equation is (x 5)2 (y-3)3 42?O 2 unitso 4 unitsO 8 units16 unitsSave and ExitMark this and

returnNextSubmit

Mathematics
2 answers:
dexar [7]2 years ago
4 0

we know that

the equation of the circle is of the form

(x-h)^{2} +(y-k)^{2} =r^{2}

where

(h,k) is the center of the circle

r is the radius of the circle

in this problem we have

(x+5)^{2} +(y-3)^{2} =4^{2}

so

the center is the point (-5,3)

the radius is 4\ units

therefore

the answer is

The radius of the circle is equal to 4\ units

katrin2010 [14]2 years ago
3 0
So what you marked there this 4 units this is true so you are right sure 

hope this will help you 
You might be interested in
Help me on this math question thank you
Vitek1552 [10]

Answer:

  • C for question 1
  • A for question 2

Step-by-step explanation:

First Question

What you need to do here is pick an answer that will result in a decrease. If you have something like 1.3 * e ^ (0.038 * t), what will happen when t = 20

P = 1.3 * e^(0.038*20) = 1.3*e^0.76 = 2.77 which is getting bigger not smaller.

So what you want is something like 1.3 * e^-0.76 = 0.67

So which question is configured that way?

It's either C or D. but which one? It cannot be D. 0.38 is far too big: it does not represent 3.8%

C does represent 3.8% as a decimal. It is the correct answer.

Answer: C

Second Question

Every time she sells a ticket, the total that she gets is 4 more than what she had before.

The variation is a direct one. It is y = k*x. But what is k? Is it 4 or is it 1/4?

Read the first sentence above. She gets 4 dollars more, not 1/4 of a dollar.

C and D are both wrong because those equations think she is getting 1/4 more.

B is wrong because it says that the relationship is inverse. It is not. It is direct.

The answer is A


4 0
3 years ago
Tanya runs diagonally across a rectangular field that has a length of 40 yards and a width of 30 yards, as shown in the diagram.
antoniya [11.8K]

Answer:

70 besarse you have to add

4 0
3 years ago
Decide if the following statement is valid or invalid. If two sides of a triangle are congruent then the triangle is isosceles.
Naya [18.7K]

Answer:

Step-by-step explanation:

Properties of an Isosceles Triangle

(Most of this can be found in Chapter 1 of B&B.)

Definition: A triangle is isosceles if two if its sides are equal.

We want to prove the following properties of isosceles triangles.

Theorem: Let ABC be an isosceles triangle with AB = AC.  Let M denote the midpoint of BC (i.e., M is the point on BC for which MB = MC).  Then

a)      Triangle ABM is congruent to triangle ACM.

b)      Angle ABC = Angle ACB (base angles are equal)

c)      Angle AMB = Angle AMC = right angle.

d)      Angle BAM = angle CAM

Corollary: Consequently, from these facts and the definitions:

Ray AM is the angle bisector of angle BAC.

Line AM is the altitude of triangle ABC through A.

Line AM is the perpendicular bisector of B

Segment AM is the median of triangle ABC through A.

Proof #1 of Theorem (after B&B)

Let the angle bisector of BAC intersect segment BC at point D.  

Since ray AD is the angle bisector, angle BAD = angle CAD.  

The segment AD = AD = itself.

Also, AB = AC since the triangle is isosceles.

Thus, triangle BAD is congruent to CAD by SAS (side-angle-side).

This means that triangle BAD = triangle CAD, and corresponding sides and angles are equal, namely:

DB = DC,

angle ABD = angle ACD,

angle ADB = angle ADC.

(Proof of a).  Since DB = DC, this means D = M by definition of the midpoint.  Thus triangle ABM = triangle ACM.

(Proof of b) Since angle ABD = angle ABC (same angle) and also angle ACD = angle ACB, this implies angle ABC = angle ACB.

(Proof of c) From congruence of triangles, angle AMB = angle AMC.  But by addition of angles, angle AMB + angle AMC = straight angle = 180 degrees.  Thus 2 angle AMB = straight angle and angle AMB = right angle.

(Proof of d) Since D = M, the congruence angle BAM = angle CAM follows from the definition of D.  (These are also corresponding angles in congruent triangles ABM and ACM.)

QED*

*Note:  There is one point of this proof that needs a more careful “protractor axiom”.  When we constructed the angle bisector of BAC, we assumed that this ray intersects segment BC.  This can’t be quite deduced from the B&B form of the axioms.  One of the axioms needs a little strengthening.

The other statements are immediate consequence of these relations and the definitions of angle bisector, altitude, perpendicular bisector, and median.  (Look them up!)

Definition:  We will call the special line AM the line of symmetry of the isosceles triangle.  Thus we can construct AM as the line through A and the midpoint, or the angle bisector, or altitude or perpendicular bisector of BC. Shortly we will give a general definition of line of symmetry that applies to many kinds of figure.

Proof #2 (This is a slick use of SAS, not presented Monday.  We may discuss in class Wednesday.)

The hypothesis of the theorem is that AB = AC.  Also, AC = AB (!) and angle BAC = angle CAB (same angle).  Thus triangle BAC is congruent to triangle BAC by SAS.

The corresponding angles and sides are equal, so the base angle ABC = angle ACB.

Let M be the midpoint of BC.  By definition of midpoint, MB = MC. Also the equality of base angles gives angle ABM = angle ABC = angle ACB = angle ACM.  Since we already are given BA = CA, this means that triangle ABM = triangle ACM by SAS.

From these congruent triangles then we conclude as before:

Angle BAM = angle CAM (so ray AM is the bisector of angle BAC)

Angle AMB = angle AMC = right angle (so line MA is the perpendicular bisector of  BC and also the altitude of ABC through A)

QED

Faulty Proof #3.  Can you find the hole in this proof?)

In triangle ABC, AB = AC.  Let M be the midpoint and MA be the perpendicular bisector of BC.

Then angle BMA = angle CMA = right angle, since MA is perpendicular bisector.  

MB = MC by definition of midpoint. (M is midpoint since MA is perpendicular bisector.)

AM = AM (self).

So triangle AMB = triangle AMC by SAS.

Then the other equal angles ABC = ACB and angle BAM = angle CAM follow from corresponding parts of congruent triangles.  And the rest is as before.

QED??

8 0
2 years ago
5 2 1 2 <br><br>3 3 4 5 <br><br>5 4 3 3 <br><br>4 5 1 2 <br><br>calculate the mean of the data​
MAXImum [283]
You add all of the numbers up each row and divide by how many there are so:
row one: if u add it all up it would be 10 then divide by how many there are
6 0
2 years ago
If f(x)=16x- 30 and g(x)= 14x-6, for which value of x does (f-g)(x)=0?
Georgia [21]

Answer:

x=12

Step-by-step explanation:

16x-30-(14x-6)=2x-24=0. add 24 on both sides to get 2x=24. divide by 2 on both sides to get x=12

7 0
2 years ago
Other questions:
  • Brandy borrowed $12,500 from her dad and made an agreement to pay him back over 4 years at an annual simple interest of 3%. What
    8·1 answer
  • Factor the expression completely:<br> x³y - 4xy
    11·2 answers
  • Jason cut three acres of grass at a farm which is 15 percent of the property how many acres are on the farm
    13·1 answer
  • chuck's coin box contains only pennies and nickels. if he jas 66 coins worth 2.38. how many of each type of coin foes he have​
    12·1 answer
  • HELP ASAP!! Identify the least common multiple of x^2 + 7x + 6 and x^2 − 3x − 4.
    9·2 answers
  • 18x3=y<br> What is the value of y?
    14·1 answer
  • Timothy periodically purchases bonds issued by Prince Waste Collection. Last year, he bought two bonds in February, two bonds in
    9·2 answers
  • Identify the y-intercept of the function represented <br> by the following table:
    8·1 answer
  • Please please help!​
    12·1 answer
  • F(n) = 4n +3<br> g(n) = 3n²+2<br> Find f(n) - g(n)<br> help lol
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!