MATHEMATICS COLLEGE

quadratic, list the center and radius, then graph each circle lah (b) x2 + y2 - 4x = 0 (d) x2 + y2 - 2x - 8y = 8 (f) 4x2 + 4y2 - 16x + (h) x2 + y2 - 7y = 0 (1) x2 + y2 - 2ax + 2by = c 4y2 - 16x + 24y = -27

Answers

Answer 1

Answer:

Given the equation of circle b;

$x^2+y^2-4x=0$

We need to express the above equation in the form;

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

where;

$\begin{gathered} r=\text{radius of the circle} \n (h,k)=\text{ coordinate of the center of the circle} \end{gathered}$

Solving for h,k and r;

$\begin{gathered} x^2+y^2-4x=0 \n x^2-4x+y^2=0 \n \text{add 4 to both sides;} \n x^2-4x+4+y^2=0+4 \n (x-2)^2+(y-0)^2=4 \n (x-2)^2+(y-0)^2=2^2 \n So; \n h=2 \n k=0 \n r=2 \end{gathered}$

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Barker and Associates specialize in corporate law. They charge $125 an hour for researching a case, $80 an hour for consultations, and $250 an hour for writing a brief. Last week one of the attorneys spent 8 hours consulting with her client, 12 hours researching the case, and 15 hours writing the brief. What was the weighted mean hourly charge for her legal services

Answers

Answer:

Weighted mean hourly charge = $168.28 (Approx)

Given:

Charge for research = $125 per hour

Charge for consultations = $80 per hour

Charge for writing a brief = $250 per hour

Research work = 12 hour

Consultations = 8 hour

Writing = 15 hour

Computation:

Total hours = 12 + 8 + 15 = 35 hours

Total charge for researching = $125 × 12 = $1,500

Total charge for consulting = $80 × 8 = $640

Total charge for writing = $250 × 15 = $3,750

Total charge = $5,890

Weighted mean hourly charge = 5890 / 35

Weighted mean hourly charge = $168.28 (Approx)

There are two boxes of Lego pieces. One box has 200 pieces and the other box has 115 pieces. Which of the following best describes how 4 people will divide the Lego pieces as evenly as possible?three people will get 77 pieces
One person will get 76 pieces

Three people will get 78 pieces
One person will get 77 pieces

Three people will get 79 pieces
One person will get 78 pieces

Three people will get 76 pieces
One person will get 75 pieces

Answers

The answer is C: three people will get 79 pieces and one person will get 78 pieces.
79x3=237
237+78=315
There were 315 total pieces (200+115) so it has to be C.
Hope this helps!

three people will get 79 pieces
one person will get 78 pieces
200+115=315
79x3=237+78=315

Y = -2(x + 1)(x + 4)

Answers

367 because if you multiply

The table shows a relationship between and y-values.which statement describes the pattern created by the values?
» Each y value is determined by
multiplying each x value by 3, so the
pattern is multiplicative
» Each y value is determined by adding
4 to each x value, so the pattern is
additive
» Each y-value is determined by adding
2 to each value, so the pattern is
additive
» Each y value is determined by
multiplying each value by 2, so the
pattern is multiplicative
Done

Answers

Answer:

Do you mind giving a picture of the table?

Answer:your answer is Each y-value is determined by adding 4 to each x-value by so the pattern is addictive

Step-by-step explanation:

Mr. and Mrs. Horner will be visiting the museum with their three children. Tickets cost $25 for adults and $15.50 for children. How much will it cost for the whole family to visit the museum?

Answers

Answer:

For the hole family it will cost 96.5$

Step-by-step explanation:

There are two adults, $25 each. 2×25=50

There are 3 children, 15.50 each. So you do 3×15.50= 46.5

To find the total cost add them both.

46.5+50= 96.5

Answer:

The total cost is $96.5

Which cannot be the angle measurements of triangle ABC? OmZA = 55°, mZB = 65°, mZC = 60° OmZA = 60°, mZB = 60°, mC = 60°
MZA= 57°, MZB = 58°, mZC = 65°
MZA = 61°, mZB = 57°, mZC = 61°