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almond37 [142]
3 years ago
12

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
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