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2 years ago

Write the standard form of the equation of the circle with center (8,−1) that passes through the point (6,7)

Mathematics

1 answer:

marshall27 [118]2 years ago

5 0

Answer:

(x - 8)^2 + (y + 1)^2 = 68

Step-by-step explanation:

The standard form of the equation of the circle with center (8,−1) is :

(x - 8)^2 + (y + 1)^2 = R^2

If the circle passes through the point (6,7) that means that the point (6,7) is a solution of the equation and we can replace (x,y) with (6,7) to find R.

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The cost of ordering multiple items is sometimes, always or never proportional

AlladinOne [14]

Unless there is no promotion like "buy 2 get 1 free" or "buy 2 get 1 for 50%" etc. then the cost of ordering multiple items is always proportional. Let's say something costs $5. Two items will cost $10, three $15, four $20 etc. These numbers are all proportional. Hopefully that's what you meant :)

8 0

3 years ago

Determine the values of the variables in the parallelograms below help me please

PolarNik [594]

Answer:

Part 1)

$x=-11$

$m=170\°$

Part 2)

$x=-5, x=1$

$m=-10, m=14$

Step-by-step explanation:

we know that

In a parallelogram opposite sides and opposite angles are congruent, and consecutive angles are supplementary

Part 1)

Find the value of x

$25=-3x-8$ ----> opposite sides are congruent

solve for x

$25=-3x-8$

$3x=-8-25$

$x=-33/3=-11$

Find the value of m

$(70+(m-60))=180\°$ ----> consecutive angles are supplementary

solve for m

$m=180\°-10\°=170\°$

Part 2)

Find the value of x

$5=x^{2}+4x$ ---> opposite sides are congruent

using a graphing tool

see the attached figure N 1

The solutions are

$x=-5, x=1$

Find the value of m

$(m^{2}-4m)=140\°$ ---> opposite sides are congruent

solve for m

using a graphing tool

see the attached figure N 2

The solutions are

$m=-10, m=14$

8 0

2 years ago

Help please, will mark brainliest

mario62 [17]

Answer:

Step-by-step explanation:

LET ORANGES=X

PEARS ARE 3 TIMES =3X

LET CHILDREN=Y

IF WE GIVE 5 ORANGES PER CHILD WE NEED 5Y ORANGES.SO THIS =X

X=5Y........................I

IF WE GIVE 8 PEARS PER CHILD WE NEED 8Y PERARS...THERE ARE STILL 21 PEARS LEFT OUT AFTER THIS THAT IS

8Y+21=3X....................II

SUBSTITUTING FOR X FROM EQN.I..

8Y+21=3*5Y

15Y-8Y=21

7Y=21

Y=3

X==5Y=5*3=15..

SO CHILDREN =3

ORANGES=15

PEARS=3*15=45

THANKYOU AND PLEASE AMRK IT BRAINLIEST

8 0

2 years ago

Kristen earns $13.50 for each hour she works. On Monday she worked 4 hours. She also worked Tuesday. If she earned a total of $1

insens350 [35]

Answer:8 hours on Tuesday

Step-by-step explanation:13.50 x 4=54

162-54=108

108÷13.50=8

8 0

2 years ago

PLS HELP ASAP!! ALGEBRA 9!! 4.29-x+36=102-2.52x+2

Andrei [34K]

Answer:

x = 29

Step-by-step explanation:

If the equation is :

4.2(9-x)+36=102-2.5(2x+2)

→distribute 4.2 and -2.5 in parenthesis

4.2(9 - x) + 36 = 102 -2.5(2x + 2)

37.8 - 4.2x +36 = 102 -5x -5

→ have terms with x = terms without x

Keep the terms you need the way they are, and move the terms you need on the other side of equal sign with changed sign.

4.2(9 - x) + 36 = 102 -2.5(2x + 2)

37.8 - 4.2x +36 = 102 -5x -5

- 4.2x +5 x = - 37.8 - 36 + 102 - 5

→ Combine like terms

0.8x = 23.2

→ Divide both sides by 0.8

x = 29

4 0

2 years ago