MATHEMATICS HIGH SCHOOL

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 1

Answer:

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 2

Answer:

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

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Which ordered pairs make both inequalities true? Check all that apply.y < 5x + 2 y > x + 1 (–3, 2) (–1, 3) (0, 2) (1, 2) (2, –1) (2, 2)
Please help me with this
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Which is an equation of a circle with center (5, 0) that passes through the point (1, 1)? HELP ME PLEASE!! Answer Choices: A.) (x - 1)2 + (y - 1)2 = 17B.) (x + 5)2 + y2 = 17C.) (x + 5)2 + y2 = 24D.) (x - 5)2 + y2 = 17
The difference between two times a number and four is eight. Write the phrase as a algebraic equation

During the 2017 Major League Baseball season the Cleveland Indians played 162 games. They won 42 games more than they lost. What was the team's win-loss record that year?

Answers

Answer: The team's win-loss record that year is 1.7

Step-by-step explanation:

During the 2017 Major League Baseball season the Cleveland Indians played 162 games.

Let x = the number of games that the

Cleveland Indians lost during the 2017 Major League Baseball season.

This means that the number of games that the Cleveland Indians won during the 2017 Major League Baseball season would be x + 42.

Total number of games played = sum of games won + sum of games lost. This is expressed as

162 = x + 42 + x

2x + 42 = 162

2x = 162-42 = 120

x = 120/2 = 60

Number of games that the Cleveland Indians lost during the 2017 Major League Baseball season is 60

The number of games that the Cleveland Indians won during the 2017 Major League Baseball season is 60 + 42 = 102

The team's win-loss record that year

would be wins/loses

= 102/60 = 1.7

Solve logarithm equation please with steps.

Answers

The first time I did it, I got an answer that's not one of the choices. The second time
I did it, I got an answer that IS . Here are both of my procedures. If all you want is
the answer, look down below at the second one. But if you could help me out, now
that you know how to do this stuff, please look at my first solution and tell me where
I messed up. I can't find it.
=======================================================

Here's what the problem tells you:

D = 10 log ( ' I ' / 10⁻¹² )

D = 60 . . . . . find ' I ' .

Here we go:

60 = 10 log ( ' I ' / 10⁻¹² )

Divide each side by 10 :

6 = log ( ' I ' / 10⁻¹² )

Raise 10 to the power of each side of the equation:

10⁶ = ' I ' / 10⁻¹²

Multiply each side by 10¹² :

10¹⁸ = ' I '     That's 10^18. It looks bad, because that isn't one of the choices.

Let's try a slightly different procedure:

============================================

After substituting 10⁺¹² for I₀ , we're working with this formula:

   D = 10 log ( 'I' / 10⁺¹² )

Let's just look at the log part of that.

The log of a fraction is [ log(numerator) - log(denominator) ]

log of this fraction is [ log( 'I' ) - log(10⁻¹²) ]

But log(10⁻¹²) is just (-12) .

So the log of the fraction is [ log( 'I' ) + 12 ]

And the whole formula is now:

   D = 10 [ log( 'I' ) + 12 ]

60 = 10 [ log( 'I' ) + 12 ]

Divide each side by 10 :

6 = log( 'I' ) + 12

Subtract 12 from each side :

-6 = log ( ' I ' )

' I ' = 10⁻⁶

That's choice-'B' .

==================================================

I'm going to leave the first solution up there, in hopes that you, or one
of the many aces, experts, and geniuses that prowl this site constantly,
can weigh in and show me my blunder on the first attempt.

Ian factored 12x3y3 – 24x2y3 into 6xy(2x2y2 – 4xy2)./1 a. Verify that Ian’s factorization is correct, using multiplication.
Answer:
/1 b. Ian’s factorization is not considered ‘complete’. Explain why.
Answer:
/1 c. Show the complete factorization of 12x3y3 – 24x2y3.
Answer:
PLEASE HELP THANKS , NEED THIS IN TIME

Answers

Answer:

Step-by-step explanation:

Given that Ian factored

$12x^3y^3 - 24x^2y^3$

$6xy(2x^2y^2 - 4xy^2).$

We find that inside still there are common factors for the two terms.

We can find 2 as common factor and for x, the term x and for y it is y^2

So correct factorisation would be

$12x^2y^3(x-2)$

a. 6xy(2x^2y^2-4xy^2)If you need to multiply 6xy and 2x^2y^2 & 6xy and 4xy^2.You will get 12x^3y^3-24x^2y^3.b. Factorization is not complete because 6xy is not the greatest common factor.c. Complete factor: 12x^2y^3(x-2y).

The following parallelogram is not drawn to scale.Find the unknown angle:
142⁰
a
za =

Answers

The twο adjacent angles in the parallelοgram are 142 degrees and 38 degrees, and the οppοsite angles are alsο equal tο 142 degrees and 38 degrees.

What are the supplementary angles?

Supplementary angles are thοse angles that sum up tο 180 degrees. Fοr example, angle 130° and angle 50° are supplementary angles because the sum οf 130° and 50° is equal tο 180°.

In a parallelοgram, οppοsite angles are equal and supplementary, which means they add up tο 180 degrees. Therefοre, the οppοsite angle tο the given angle οf 142 degrees is alsο supplementary tο it and equal tο0

180 - 142 = 38 degrees.

Since οppοsite sides οf a parallelοgram are parallel and cοngruent, the adjacent angles are alsο cοngruent. Therefοre, the οther angle adjacent tο the given angle οf 142 degrees is alsο equal tο 142 degrees.

Hence, the twο adjacent angles in the parallelοgram are 142 degrees and 38 degrees, and the οppοsite angles are alsο equal tο 142 degrees and 38 degrees.

To learn more about supplementary angles visit:

brainly.com/question/12919120

#SPJ1

Complete question:

the sum of Kris and Victor's ages is 27 years. in 3 years, victor will be twice as old as Kris will be. what are their present ages?

Answers

let k=kris and victor =v
k+v=27
in 3 years, victor will be twice as old as kris will be.so
v+3=2(k+3)
v=2k+6-3
v=2k+3
so (2k+3)+k=27
3k=24
k=8 27-8=19
kris is 8 years now. victor is 19 years old.

LET KRIS'S AGE BE X YEARS AND VICTOR'S AGE BE Y YEARS
GIVEN, X + Y = 27 ------------EQ 1
IN THREE YEARS,
KRIS WILL BE X+3 YEARS AND VICTOR WILL BE Y+3 YEARS
GIVEN , Y+3 = 2(X +3 )
Y+3 = 2X+ 6
Y - 2X =6-3
Y - 2X =3 ------------EQ 2
FROM EQ 1 WE GET,
X =27 -Y
SUBSTITUTING THE VALUE OF X IN EQ 2 ,WE GET
Y - 2(27 -Y) =3
Y - 54 +2Y =3
3Y-54 =3
3Y =57
Y=57/3 =19
PUTTING THE VALUE OF Y IN EQ 1
X +19 =27
X =27-19=8
THEREFORE, KRIS IS 8 YEARS OLD AND VICTOR IS19 YEARS OLD

Sam took his family to the zoo. An adult’s ticket is two timesthe cost of a child’s ticket. The total cost for two adults’ tickets and
three children’s tickets was $28. How much do the tickets cost?