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3 years ago

EASY 6TH GRADE QUESTION MATH

Mathematics

1 answer:

Nataliya [291]3 years ago

6 0

Answer: quarts

Step-by-step explanation: 4 cups = 1 quart

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2. Given the equation of a circle in standard form, identify the center, radius, and graph the circle.

Varvara68 [4.7K]

Answer:

Center: ( -1 , 2 )

Radius: 6

Step-by-step explanation:

The equation for a circle is given as follow:

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

Where,

the Center is: ( h , k ) (note that the signs of the number are different)

and the radius is: r

So if we compare the original circle equation to the equation in the question we can see that:

$(x+1)^{2} +(y-2)^{2} =36$

the Center is: (-1,2)

and the radius is: $\sqrt{36}$ = 6

2. To draw the graph find points that lay on the circle, it's better to take the values of x and y from the Center:

first sub y=2 in the equation to find the values for x:

$(x+1)^{2} +(y-2)^{2} =36$

$(x+1)^{2} +(2-2)^{2} =36$

$(x+1)^{2} +(0)^{2} =36$

$(x+1)^{2} =36$

$x+1 =±\sqrt{36}$

$x=6-1$ AND $x=-6-1$

$x=5$ AND $x=-7$

The points are A(5,2) and B(-7,2)

second sub x= -1 in the equation to find the values for y:

$(x+1)^{2} +(y-2)^{2} =36$

$(-1+1)^{2} +(y-2)^{2} =36$

$(0)^{2} +(y-2)^{2} =36$

$(y-2)^{2} =36$

$y-2=±\sqrt{36}$

$y=6+2$ AND $y=-6+2$

$y=8$ AND $y=-4$

The points are D(-1,8) and E(-1,-4)

After finding the points write them in the graph and match them together to get the like the circle in the picture below:

8 0

3 years ago

Mary is painting pumpkins to earn money. She plans on selling each pumpkin for $7.50. She currently has $200 in her savings acco

bixtya [17]

Answer: No. It's not proportional

Step-by-step explanation:

The direct proportion in mathematics is expressed as:

y = kx

where

y = $200

k = constant

x = $7.50

We then solve for k

y = kx

200 = 7.50k

k = 200/7.50

k = 26.67

Since k isn't a whole number, then the amount of money in her bank account proportional to the number of pumpkin she sells.

7 0

3 years ago

6. I need help please chose 2

Alisiya [41]

Summer and Winter is the answer

6 0

2 years ago

Each classmates contributes $2 for charity Write an expression for the amount of money raised by your class

Alecsey [184]

$2*S=A
S=Student
A=Total amount

3 0

3 years ago

Read 2 more answers

Factor *<br> (x^2/9)- 64

Hoochie [10]

Step-by-step explanation:

We use

$a ^{2} - \times ^{2} = (a - \times )(a + \times )$

Now we have

$\frac{ { \times }^{2} }{9} - 64 = ( \frac{ \times }{3} ) ^{2} - {8}^{2} \\ = ( \frac{ \times }{3} - 8)( \frac{ \times }{3} + 8)$

Hope that useful for you

5 0

3 years ago