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2 years ago

Rewrite the quadratic function below in standard form y=3(x+2)(x-3)

Mathematics

2 answers:

babunello [35]2 years ago

8 0

X=3(x^2-x_6)
3x^2-x-6

AURORKA [14]2 years ago

7 0

Uhh yeah what the other person said

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A cell tower is located at and transmits a circular signal that covers three major cities. The three cities are located on the c

Lelu [443]

Answer:

$(x+8)^2 +(y-4)^2 = 25$

Step-by-step explanation:

Assuming this complete problem: "A cell tower is located at (-8, 4) and transmits a circular signal that covers three major cities. The three cities are located on the circle and have the following coordinates: G (-4, 7), H (-13, 4), and I (-8, -1). Find the equation of the circle"

For this case the generla equation for the circle is given by:

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

From the info we know that the tower is located at (-8, 4) so then h = -8 and k = 4, so then we need to find the radius. So we have the equation like this: $(x+8)^2 +(y-4)^2 = r^2$

If the 3 points are on the circle then satisfy the equation. We can use the first point (-4,7) and if we replace we can find the value for $r^2$

$(-4+8)^2 +(7-4)^2 =25= r^2$

So then $r = \sqrt{25}=5$

And if we replace the second point we got this:

$(-13+8)^2 +(4-4)^2 = 25 =r^2$

And for the third point we have:

$(-8+8)^2 +(-1-4)^2 = 25 =r^2$

And we got the same result.

So then our final equation is given:

$(x+8)^2 +(y-4)^2 = 25$

4 0

3 years ago

the ratio of blue marbles to white marbles and summer bag is equal to 1 to 2 if there are 20 blue marbles how many white marbles

Svet_ta [14]

The answer is 30 marbles

6 0

3 years ago

Read 2 more answers

6.04x10 minus 3 cubed

Oksana_A [137]

Answer: .00604

Step-by-step explanation:

Hope this helps

7 0

3 years ago

Please helppppp meeeeeee!!!!!!!!!!!!!!!!!!!!

LenKa [72]

Answer:

The option is C i.e 115°, 65°. proof is given below.

Step-by-step explanation:

Given:

ABCD is a quadrilateral.

m∠ A = 100 + 5x

m∠ B = 77 - 4y

m∠ C = 106 + 3x

m∠ D = 47 + 6y

To Prove:

ABCD is a parallelogram if opposing angles are congruent by finding the measures of angles.

m∠ A = m∠ C and

m∠ B = m∠ D

Proof:

ABCD is a quadrilateral and is a parallelogram if opposing angles are congruent.

∴ m∠ A = m∠ C

On substituting the given values we get

∴ 100 + 5x = 106 +3x

∴ $5x-3x=106-100\\\\2x=6\\\\x =\frac{6}{2} \\\\x=3$

m∠ A = 100 + 5x = 100 + 5 × 3 =100 + 15 = 115°

m∠ C = 106 + 3x = 106 + 3 ×3 =106 + 9 = 115°

∴ m∠ A = m∠ C = 115°

Similarly,

∴ m∠ B = m∠ D

77 - 4y = 47 + 6y

10y = 77 - 47

10y =30

∴ $y=\frac{30}{10} \\y = 3\\$

m∠ B = 77 - 4y =77 - 4 × 3 = 77 - 12 = 65°

m∠ D = 47 + 6y = 47 + 6 × 3 = 47 + 18 = 65°

∴ m∠ B = m∠ D = 65°

Therefore the option is C i.e 115°, 65°

5 0

3 years ago

8. Sam divided a rectangle into 8 congruent

S_A_V [24]

Sam divided a rectangle into 8 congruent rectangles that each have a area of 5 cm2. what is the area of the rectangle before it is divided?

Answer:

$Area\ of\ the\ rectangle = 40\ cm^{2}$

Step-by-step explanation:

Given:

Sam divided a rectangle into 8 congruent rectangles that each have an area of $5\ cm^{2}$

We need to find the area of the rectangle before Sam divided it.

The area of the rectangle before Sam divided is 8 times of the area of the congruent rectangles.

Area of the rectangle = $8\times (area\ of\ congruent\ rectangles)$

Area of the congruent rectangle is $5\ cm^{2}$

So the area of the rectangle is

Area of the rectangle = $8\times 5$

Area of the rectangle = $40\ cm^{2}$

Therefore the area of the rectangle before divided is $40\ cm^{2}$

4 0

3 years ago