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Gennadij [26K]
3 years ago
7

5. Which equation is of a circle that has a center at

Mathematics
1 answer:
Basile [38]3 years ago
5 0

Answer:

\large\boxed{D.\ (x-3)^2+(y+2)^2=81}

Step-by-step explanation:

The standard form of an equation of a circle:

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

(h, k) - center

r - radius

We have the center at (3, -2) and the radius r = 9. Substitute:

(x-3)^2+(y-(-2))^2=9^2\\\\(x-3)^2+(y+2)^2=81

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What is the solution to (3 x 102)x(5 x 105) written in scientic notation​
fiasKO [112]

Answer:

1.5 + 10^8.

Step-by-step explanation:

(3 x 10^2) x (5 x 10^5)

= 3 x 5 * 10^2 x 10^5

= 15 x  10^(2 + 5)

= 15 x 10^7

= 1.5 + 10^8.

3 0
3 years ago
Which expression has the greatest value?<br><br><br> 3÷16<br><br> 5÷16<br><br> 5÷12<br><br> 3÷12
IgorLugansk [536]

Answer:

The correct answer is 5÷12

8 0
3 years ago
Question 4
astraxan [27]

Answer:

No real roots

Step-by-step explanation:

The given equations are:

3x-1+2y=0

3x^2-y^2+4=0

We make y the subject in the first equation to get

y=\frac{1-3x}{2}

We substitute into the second expression to get:

3x^2-(\frac{1-3x}{2})^2+4=0

We expand to get:

3x^2-\frac{(1-6x+9x^2)}{4}+4=0

Multiply through by 4 to get:

12x^2-1+6x-9x^2+16=0

3x^2+6x+15=0

The discriminant is given by D=b^2-4ac

D=3^2-4*12*15

D=-711

Since the discriminant is less than zero, the two curves never intersects.

Therefore the system has no real roots

6 0
4 years ago
Determine the area of the figure shown. Use paper to show your work. Note that each square unit is one unit in length The area o
Juliette [100K]
Just count the boxes and you should get the answer
7 0
3 years ago
Read 2 more answers
If a power has a negative base and an _ _ _ _ _ _ _ _ exponent, the product will be negative.
miskamm [114]

Answer:

If a power has a negative base and a negative exponent, the product will be negative.

6 0
3 years ago
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