MATHEMATICS HIGH SCHOOL

Solve for x and y show work please Y:______ X:_____​
solve for x and y show work please Y:______ X:_____​ - 1

Answers

Answer 1
Answer:

Answer:

the image was not clear....hope the values are correct

Answer is in the attached file.

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on january 1,1999,the price of gasoline was$1.39 per gallon .if the price of gasoline increased by 0.5%per month ,what was the was the cost of one gallon of gasoline,to the nearest cent,on january 1 one year later?
What is 2*8[(9+0)6*9]?
Alan has 80% more stamps than Billy. Billy has 3/5 of the number of Charlies stamps. If Billy gave 150 stamps to Charlie, then Charlie would now have three times the number of Billys remaining stamps. What is the total number of stamps they have altogether?

64,328 to the ten thousands place

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If you are looking to round, then you simply either round up or round down due to the term before the place you want to round (in this case, the thousands place). when you round in this case, you would round down because 4 is less than 5 (the middle point between 0 and 10) in which case would give us 60,000

Describe the meaning of the rate. 6 days each month

A.
Something happens 6 days per month.

B.
Each month is 6 days long.

C.
Each day is one month long.

D.
A day happens six times each month.

Answers

Meaning of the rate: 6 days each month.
The answer is A. Something happens 6 days per month.
This means that in every month, there are available 6 days that let you do something. 
Example in the GYm, you have 6 days per month free gym usage.

The line y =3x-5 meet x-axis at the point M. The line 3y+2x=2 meets y-axis at point N. Find the equation of the line joining M and N in the form ax + by + c = 0 where: a,b,c are integers.

Answers

Answer-

The line equation is,

\boxed{\boxed{6x+15y-10=0}}

Solution-

The line y =3x-5 meets x-axis at the point M, i.e M is the x-intercept of this line. At the x-intercept y=0, so

\Rightarrow 0 =3x-5

\Rightarrow 3x=5

\Rightarrow x=(5)/(3)

So, coordinate of M is ((5)/(3),\ 0)

The line 3y+2x=2 meets y-axis at point N, i.e N is the y-intercept of this line. At the y-intercept x=0, so

\Rightarrow 3y+2(0)=2

\Rightarrow 3y=2

\Rightarrow y=(2)/(3)

So, coordinate of N is (0,\ (2)/(3))

The line joining M and N can be found out by applying two point formula of straight line,

\Rightarrow (y-y_1)/(y_2-y_1)=(x-x_1)/(x_2-x_1)

\Rightarrow (y-0)/((2)/(3)-0)=(x-(5)/(3))/(0-(5)/(3))

\Rightarrow (y)/((2)/(3))=(x-(5)/(3))/(-(5)/(3))

\Rightarrow -(5)/(3)y=(2)/(3)(x-(5)/(3))

\Rightarrow -5y=2(x-(5)/(3))

\Rightarrow -5y=2x-(10)/(3)

\Rightarrow 2x+5y-(10)/(3)=0

As it is given that all the coefficients are integers, so multiplying with 3

\Rightarrow 6x+15y-10=0

Solution: As given  line y =3x-5 meet x-axis at the point M.

  On x axis y coordinate is zero.

Put y =0 in above equation, we get →x = 5/3

∴ Coordinate of M is (5/3,0).

As, also given , line 3y+2x=2 meets y-axis at point N.

On y axis , x coordinate is zero.

Substituting , x=0 in above equation, gives y =2/3.

Coordinate of point N is (0,2/3).

Equation of line passing through two points (a,b) and (p,q) is given  by

       → (y-b)/(x-a) =(q-b)/(p-a)

Or as X intercept = 5/3, and Y intercept = 2/3

Equation of line in intercept form is →(x)/(a) + (y)/(b) =1, where a and b is X intercept and y intercept respectively.

So, line passing through (5/3,0) and (0,2/3) is given by

→ (x)/((5)/(3))  +  (y)/((2)/(3))=1

 → (3x)/(5) + (3y)/(2) =1  

→ 6 x + 15 y =10 [Taking LCM of 5 and 2 which is 10]

→ 6 x + 15 y -10=0, which is equation of the line joining M and N in the form ax + by + c = 0 where: a,b,c are integers.

Given matrix D below, which matrix represents -5D?

Answers

Answer: option D

-5D means multiply all the elements of D by -5
i.e. -5 * -10 = 50
-5 * 10 = -50
-5 * -5 = 25
-5 * 15 = -75

You are using a math software program to make a pattern for a plastic part. You draw the pattern on a coordinate plane with units in millimeters and the bottom left corner as the origin. Write an equation for the circular hole.Someone plz help me >_<​

Answers

Answer:

  • (x - 48)² + (y - 24)² = 64

Step-by-step explanation:

From the graph we see that

  • The diameter of the circle is: d = 16 mm
  • Then its radius is: r = 16 mm/ 2 = 8 mm
  • The center has x-coordinate: h = 40 + 8 = 48
  • Y-coordinate: k = 32 - 8 = 24

Use circle formula:

  • (x - h)² + (y - k)² = r²

Substitute values to get required equation:

  • (x - 48)² + (y - 24)² = 8²
  • (x - 48)² + (y - 24)² = 64

Answer: (x - 2) ^2 + (y - 6) ^2 = 25

Simplify.13+(49−19)2

Enter your answer, as a simplified fraction, in the box.

Answers

Simplified :13+[2(10)]
13+20
Answer : 33
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