MATHEMATICS
HIGH SCHOOL

Answer: We are given in this problem a function of a circle expressed as x^2 + 4x +y^2 - 10y = 20. In order to determine the line in which it intersects in the x plane, then we must first convert the expression to its standard form that is,

x^2 + 4x +y^2 - 10y = 20

we use completion of squares

(x2+4x) + (y2-10y) = 20

to find the third variable, we use the coefficient of x and y. The formula to be used is (k/2)^2. We should not forget to equivalently add on the next side. Hence,

(x2+4x+2^2) + (y2-10y+5^2) = 20+2^2+5^2

(x+2)^2 + (y-5)^2 = 20 + 4 + 25

(x+2)^2 + (y-5)^2 = 49

To find the intersection at the x plane, we must set y =0. Substituting,

(x+2)^2 + (0-5)^2 = 49

(x+2)^2 = 24

(x+2) = sq rt 24

x1 = sq rt 24 -2 = 2.8990

x2 = -sq rt 24 -2 = -6.8990

x^2 + 4x +y^2 - 10y = 20

we use completion of squares

(x2+4x) + (y2-10y) = 20

to find the third variable, we use the coefficient of x and y. The formula to be used is (k/2)^2. We should not forget to equivalently add on the next side. Hence,

(x2+4x+2^2) + (y2-10y+5^2) = 20+2^2+5^2

(x+2)^2 + (y-5)^2 = 20 + 4 + 25

(x+2)^2 + (y-5)^2 = 49

To find the intersection at the x plane, we must set y =0. Substituting,

(x+2)^2 + (0-5)^2 = 49

(x+2)^2 = 24

(x+2) = sq rt 24

x1 = sq rt 24 -2 = 2.8990

x2 = -sq rt 24 -2 = -6.8990

COLLEGE

A store is having a sale on chocolate chips and walnuts. For 8

pounds of chocolate chips and

4

pounds of walnuts, the total cost is

$21

. For

3

pounds of chocolate chips and

2

pounds of walnuts, the total cost is

$9

. Find the cost for each pound of chocolate chips and each pound of walnuts.

The way you set the question up is confusing

HIGH SCHOOL

What is one-third of two-fifths?

Multiply:

It is 0.133 repeating

MIDDLE SCHOOL

9.931 times 10 to the 5th power. Write in standard form

9.931x10x10x10x10x10

But im not sure

But im not sure

"In standard form" LOL JK BE MORE SPECIFIC DUDE

COLLEGE

Mr Connors drove 78 1/3 miles on Monday, 77 1/12 miles on Tuesday, and 75 5/6 miles on Wednesday. If he continues this pattern on Thursday and Friday, How many fewer miles will he drive on Friday then don't Tuesday

Answer:

3 3/4 miles

Step-by-step explanation:

Mr. Connors' pattern is to drive 1 3/12 fewer miles each day. The third day after Tuesday (on Friday), he wll drive 3×(1 1/4) = 3 3/4 fewer miles than on Tuesday.