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gtnhenbr [62]
4 years ago
7

What is the standard equation with center (4, -5) and radius 11

Mathematics
2 answers:
s2008m [1.1K]4 years ago
5 0

Answer:

i took a text on this its 1-

Step-by-step explanation:

hope that helps if im wrong im so sorry

Semmy [17]4 years ago
5 0

Answer:

(x-4)^2+(y+5)^2=121

Step-by-step explanation:

The standard equation of a circle is:

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

where (h,k) is the center, and r is the radius.

We know that (4,-5) is the center, and 11 is the radius.

Therefore, 4 is h, -5 is k, and 11 is r. Substitute them into the equation

(x-4)^2+(y--5)^2=11^2

Solve the exponent

(x-4)^2+(y+5)^2=121

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Look at!!:
Pre image  A(3,4), B(1,5) C(6,6);
If you multiply these coordinates by 3/2, you get its images:

A(3,4)              ⇒ A`(3*3/2, 4*3/2)=(4.5, 6)
B(1,5)              ⇒B`(1.*3/2,  5*3/2)=(1.5, 7.5)
C(6,6)              ⇒C`(6*3/2, 6*3/2)=(9,9)

Therefore the scale factor is 3/2. 
When the scale factor of a dilation is >1, then we have an enlargement, an expansion.
In this case 3/2=1.5>1

Answer: 

The dilation is expansion.
The scale factor is 3/2. 
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4x-3y=2<br> 3x=5y=16<br> solve using substitution method
vodomira [7]

\left\{\begin{array}{ccc}4x-3y=2&|\text{add 3y to both sides}\\3x+5y=16\end{array}\right\\\left\{\begin{array}{ccc}4x=3y+2&|\text{divide both sides by 4}\\3x+5y=16\end{array}\right\\\left\{\begin{array}{ccc}x=0.75y+0.5&(*)\\3x+5y=16\end{array}\right\\\\\text{substitute}\ (*)\ \text{to the second equation}\\\\3(0.75y+0.5)+5y=16\qquad\text{use distributive property}\\\\(3)(0.75x)+(3)(0.5)+5y=16\\\\2.25y+1.5+5y=16\qquad\text{subtract 1.5 from both sides}\\\\7.25y=14.5\qquad\text{divide both sides by 7.25}

\boxed{y=2}\\\\\text{substitute the value of y to}\ (*):\\\\x=0.75(2)+0.5\\\\x=1.5+0.5\\\\\boxed{x=2}\\\\Answer:\ x=2\ and\ y=2\to(2,\ 2)

7 0
3 years ago
Find the two points on segment AB that divide the segment into 3 congruent Parts if A has coordinates (0 0) and point B has coor
Elena L [17]

Answer:

  (3, 2), (6, 4)

Step-by-step explanation:

Since one end (A) of the segment AB is at the origin, the required points will be 1/3 and 2/3 of the coordinates of B:

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Set of real numbers satisfying 2x=3
algol [13]
2x = 3
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3 years ago
Read 2 more answers
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