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1 year ago

(2/7 , −3) ; r = 6 standard form of circle

1 answer:

7 0

The graph of a circle is completely determined by its center and radius. Standard form for the equation of a circle is (x−h)2+(y−k)2=r2. The center is (h,k) and the radius measures r units.

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(answer fast please, thanks!)

Pachacha [2.7K]

Answer:

$19 for one package of oatmeal cookie dough and $14 for one package of chocolate chip cookie dough

Step-by-step explanation:

We need to set up two equations: one that shows how much money Mike made and one that shows how much money Shawna made.

Let's make a = price for one chocolate chip cookie dough and b = price for one oatmeal cookie dough.

First equation for Mike: 12a + 3b = 225

Second equation for Shawna: 6a + 11b = 293

Next we isolate b from Mike's equation: b = 75 - 4a

Then we plug this equation into Shawna's equation and we get:

6a + 11(75 - 4a) = 293

Solving for a would get us 14, or $14 for one chocolate chip cookie dough.

If we plug 14 = a into Mike's original equation and solve for b, we get b = 19, or $19 for one oatmeal cookie dough.

Hope this helped!

5 0

3 years ago

Cot0 + tan0 = sec0csc0

Lelechka [254]

Answer:

Step-by-step explanation:

7 0

3 years ago

A rectangular piece of metal is 25 in longer than it is wide. Squares with sides 5 in long are cut from the four corners and the

Licemer1 [7]

Answer:

The original length was 41 inches and the original width was 16 inches

Step-by-step explanation:

Let

x ----> the original length of the piece of metal

y ----> the original width of the piece of metal

we know that

When squares with sides 5 in long are cut from the four corners and the flaps are folded upward to form an open box

The dimensions of the box are

$L=(x-10)\ in\\W=(y-10)\ in\\H=5\ in$

The volume of the box is equal to

$V=(x-10)(y-10)5$

$V=930\ in^3$

$930=(x-10)(y-10)5$

simplify

$186=(x-10)(y-10)$ -----> equation A

Remember that

The piece of metal is 25 in longer than it is wide

$x=y+25$ ----> equation B

substitute equation B in equation A

$186=(y+25-10)(y-10)$

solve for y

$186=(y+15)(y-10)\\186=y^2-10y+15y-150\\y^2+5y-336=0$

Solve the quadratic equation by graphing

using a graphing tool

The solution is y=16

see the attached figure

Find the value of x

$x=16+25=41$

therefore

The original length was 41 inches and the original width was 16 inches

3 0

3 years ago

Students are making ornaments and each takes 1 2 of a piece of Bristol board. They go to the cupboard and find 1 1 2 pieces of B

s2008m [1.1K]

Answer: 3

Step-by-step explanation:

Feom the question, we are informed that students are making ornaments and each takes 1/2 of a piece of Bristol board and that they go to the cupboard and find 1 1/2 pieces of Bristol board.

The number of ornaments that they can make will be calculated by dividing 1 1/2 by 1/2. This will be:

= 1 1/2 ÷ 1/2

= 3/2 ÷ 1/2

= 3/2 × 2/1

= 3

They can make 3 ornaments

8 0

3 years ago

the coordinates of points a and b are (2,4) and (-2,-4) respectively. what is the slope of the line that connects the two points

solmaris [256]

we are given two points as

(2,4) and (-2,-4)

Let's assume

first point as (x1,y1)=(2,4)

so, x1=2 and y1=4

Second point as (x2,y2)=(-2,-4)

so, x2=-2 and y2=-4

now, we can use slope formula

$m=\frac{y_2-y_1}{x_2-x_1}$

now, we can plug values

$m=\frac{-4-4}{-2-2}$

now, we can simplify it

$m=2$

so, slope is 2 ..................Answer

4 0

3 years ago