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2 years ago

John and David graphed a circle with center (-3,1)

Mathematics

1 answer:

mihalych1998 [28]2 years ago

8 0

Neither of them are fully correct because the equation of a circle is:

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

h = x value of center coordinate

k = y value of center coordinate

r = radius

Therefore, the correct equation of the circle is:

$(x + 3) ^{2} + (y - 1) ^{2} = 49$

David had the correct values in each of the parentheses while John had the correct value on the right side of the equation.

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This question is a Fractions as divisions and it's kinda bit harder to figure it out.

Elodia [21]

10 liters of gas fill one tank.
x liters of gas fill x/10 tanks.
35 liters of gas fills 35/10=7/2 tanks
7/2 can also be written as 3.5 or the mixed number (3 and 1/2)

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3 years ago

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There are two factors of -36 such that one factor is 11 less than half of the other factor choose all the pairs of these factors

Amanda [17]

Answer with explanation:

Factors of -36 are

$=\pm 1, \pm 2,\pm 3,\pm 4, \pm 6, \pm 9, \pm 12, \pm 18, \pm 36$

It is given that , among the factors of , -36 , one factor is 11 less than half of the other factor.

If you will take, $=\pm 1,\pm 3,\pm 4, \pm 9,$ , then you can find such pairs.

Pairs are= (3,-4), (9, -1),(-1, -6),

7 0

2 years ago

Just need to know what x is haha

marishachu [46]

Answer: x=14

Step-by-step explanation:

The angles in a triangle are equal to 180 so

6x + 3 + 5x + x + 9 = 180

12x + 12 = 180

-12 -12

12x = 168

x = 14

4 0

3 years ago

Write an equation of the line passing through the point A(2, 0) that is parallel to the line y = 3x−5

satela [25.4K]

Answer:

y = 3x-6

Step-by-step explanation:

y = 3x−5

This is in slope intercept form

y = mx+b where m is the slope and b is the y intercept

m =3

Parallel lines have the same slope

We have the slope m=3 and a point (2,0)

y = mx+b

y = 3x+b

Substituting the point into the equation to solve for b

0 = 3(2)+b

0 = 6+b

b = -6

y = 3x-6

4 0

3 years ago

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Your friend has $90 when he goes to the fair. He spends $5 to enter the fair and $15 on food. Rides at the fair cost $1.50 per r

Maksim231197 [3]

Answer: Option 'B' is correct.

Step-by-step explanation:

Since we have given that ,

Total money he takes while going to the fair = $90

Money he spends to enter the fair = $5

Money he spends on food =$15

Total he spent now is given by

$\$5+\$15=\$20$

Now, he spend on rides at the fair i.e. 1.50 per ride .

Let the number of rides be x

So, cost incurred on rides = 1.5x

So, the spending money can be expressed as

$20+1.50x$

Now, remaining money left to him after spending on x rides too is

$90-(1.50x+20)\\\\=90-1.50x-20\\\\=70-1.5x$

Let f(x) denotes the function used to determine the money he has left over after rides .

So it becomes

$f(x)=70-1.50x\\\\f(x)=-1.50x+70$

3 0

2 years ago

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