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
laiz [17]
3 years ago
7

Please need help on this

Mathematics
1 answer:
artcher [175]3 years ago
5 0

Answer:

the center is (-4,7) and the radius is 3

Step-by-step explanation:

The center of a circle can be found using the equation (x-h)^2 + (y-k)^2 = r^2 and is (h,k) from it. Notice h and k are the opposite value as in the equation.  

First write the equation in this form.  

x^2 + 8x + ( ?)+ y^2 - 14y + (?) + 56 = 0  

Complete the square with each variable to find what numbers should go in place of the question marks.  

(8/2)^2 = 4^2 = 16  

(-14/2)^2 = -7^2 = 49  

Add 16 and 49 to both sides of the equation.  

x^2 + 8x + 16 + y^2 - 14y + 49 + 56 = 16 + 49\\(x+4)^2 + (y-7)^2 + 56 = 65\\(x+4)^2 + (y-7)^2 = 9  

So the center is (-4,7) and the radius is 3.

You might be interested in
What is the reason for the third step in this proof? Given: a || b, and both lines are cut by transversal t. Prove: 2= 7
Annette [7]
Your answer would be c
8 0
4 years ago
Read 2 more answers
23 and a half divided by 4
kkurt [141]

Answer:

\frac{47}{8}

Step-by-step explanation:

1) Rewrite the words into an equation:

23\frac{1}{2} ÷ 4

2) Change the division sign to a multiplication sign and find the reciprocal of 4 (flip the numerator and denominator of 4):

23\frac{1}{2} * \frac{1}{4}

3) Change the mixed number into an improper fraction:

\frac{47}{2} * \frac{1}{4}

4) Multiply:

\frac{47}{8}

5 0
4 years ago
Find sin3A, cos<br> 3A and tan 3A when sin=1/2<br>​
Slav-nsk [51]

Answer:

Sin 3A = 1

cos 3A = 0

tan 3 A = undefined

Step-by-step explanation:

\sin A =  \frac{1}{2}  \\  \therefore \: \sin A =   \sin \: 30 \degree.. \bigg( \because \: \sin \: 30 \degree =  \frac{1}{2} \bigg) \\ \therefore \: A =   30 \degree \\  \\ now \\   \sin 3A =\sin (3 \times 30 \degree)= \sin \: 90 \degree = 1 \\  \\  \cos 3A =\cos (3 \times 30 \degree)= \cos \: 90 \degree = 0\\\\ \tan 3A =\tan (3 \times 30 \degree)= \tan \: 90 \degree =  \infty

4 0
4 years ago
Line v passes through point [6.6] and is perpendicular to the graph of y= 3/4x - 11 line w is parallel to line v and passes thro
lbvjy [14]

Given:

The equation of a line is

y=\dfrac{3}{4}x-11

Line v passes through point (6,6) and it is perpendicular to the given line.

Line w passes through point (-6,10) and it is parallel to the line v.

To find:

The equation in slope intercept form of line w.

Solution:

Slope intercept form of a line is

y=mx+b         ...(i)

where, m is slope and b is y-intercept.

We have,

y=\dfrac{3}{4}x-11      ...(ii)

On comparing (i) and (ii), we get

m=\dfrac{3}{4}

So, slope of given line is \dfrac{3}{4}.

Product of slopes of two perpendicular lines is -1.

m_1\times m_2=-1

\dfrac{3}{4}\times m_2=-1

m_2=-\dfrac{4}{3}

Line w is perpendicular to the given line. So, the slope of line w is -\dfrac{4}{3}.

Slopes of parallel line are equal.

Line v is parallel to line w. So, slope of line v is also -\dfrac{4}{3}.

Slope of line v is -\dfrac{4}{3} and it passes thorugh (-6,10). So, the equation of line v is

y-y_1=m(x-x_1)

where, m is slope.

y-10=-\dfrac{4}{3}(x-(-6))

y-10=-\dfrac{4}{3}(x+6)

y-10=-\dfrac{4}{3}x-\dfrac{4}{3}(6)

y-10=-\dfrac{4}{3}x-8

Adding 10 on both sides, we get

y=-\dfrac{4}{3}x-8+10

y=-\dfrac{4}{3}x+2

Therefore the equation of line v is y=-\dfrac{4}{3}x+2.

3 0
3 years ago
Two cars travel at the same speed to different destinations. Car A reaches its destination in 17 minutes. Car B reaches its dest
Goryan [66]

Answer:

speed of car A =Speed of car B=0.8 miles/minutes.

Step-by-step explanation:

We are given that speed of car A is equal to speed of car B.

Also let car A travels x miles.

and car B travels y miles.

Car A  reaches its destination in 17 minutes.

this means that speed of car A is given by:  \dfrac{x}{17} miles/minutes  ( since speed is defined as the ratio of distance and time).

Car B reaches its destination in 32 minutes.

This means that the speed of car B is given by: \dfrac{y}{32} miles/minutes

as speed of both cars are equal this means:

\dfrac{x}{17}=\dfrac{y}{32}------(1)

Also we are given Car B travels 12 miles farther than Car A.

this means y-x=12

y=12+x------(2)

on using equation (1) and (2) we have:

\dfrac{x}{17}=\dfrac{12+x}{32}\\  \\32x=17(12+x)\\\\32x=17\times12+17x\\\\32x-17x=17\times12\\\\15x=122\times17\\\\x=13.6

Hence the speed of car A is 0.8 miles/minutes  ( since x/17 is the speed of car A)

Speed of car B=0.8 miles/minutes.



8 0
4 years ago
Other questions:
  • What needs to be corrected in the following construction for copying ABC with point D as the vertex?
    11·1 answer
  • Aaron has a budget of $100 per month to spend on lunch. He made a table showing the total amount of lunch money he will have lef
    15·1 answer
  • Can you help me with try these B?
    5·1 answer
  • the basic equation for calculating compound interest is A=P(1+r/n)^(nt). if $1,400 id inverested at an interest rate of 6% per y
    7·1 answer
  • 2 is divided by the difference of a number and 3.
    12·1 answer
  • 1. 12 + (-7)<br> How do you do dis
    8·2 answers
  • The following triangles are similar by which short cut?
    7·2 answers
  • What are angles 2 and 13
    12·1 answer
  • Help me Please
    12·1 answer
  • The following system is already solved using the substitution method. Write the solution as an ordered pair.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!