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4 years ago

What is the common ratio for 2,6,18

Mathematics

1 answer:

Dmitrij [34]4 years ago

6 0

Answer:

Step-by-step explanation:

r=6/2=3

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Solve for x : 13x + 7 = -227

Grace [21]

Answer:

-18

Step-by-step explanation:

1. Subtract 7 from both sides:

13x = -234

2. Divide 13 from both sides:

13x/13 = -234/13

x = -18

hope this helps!

7 0

2 years ago

write the standard form of the equation of the circle for which the endpoints of a diameter are (0,0) and (4,-6)

Elenna [48]

Given:

The endpoints of a diameter are (0,0) and (4,-6).

To find:

The equation of the circle.

Solution:

The endpoints of a diameter are (0,0) and (4,-6). So, the length of the diameter is

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$d=\sqrt{(-6-0)^2+(4-0)^2}$

$d=\sqrt{36+16}$

$d=\sqrt{52}$

$d=2\sqrt{13}$

Now, radius is half of the diameter.

$r=\dfrac{2\sqrt{13}}{2}$

$r=\sqrt{13}$

Center of the circle is the midpoint of the endpoints of a diameter.

$Center=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)$

$Center=\left(\dfrac{0+4}{2},\dfrac{0+(-6)}{2}\right)$

$Center=\left(\dfrac{4}{2},\dfrac{-6}{2}\right)$

$Center=\left(2,-3\right)$

Standard form of a circle is

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

where, (h,k) is center and r is radius.

The center of the circle is (2,-3) and radius is $\sqrt{13}$ . So,

$(x-2)^2+(y-(-3))^2=(\sqrt{13})^2$

$(x-2)^2+(y+3)^2=13$

Therefore, the standard form of the circle is $(x-2)^2+(y+3)^2=13$ .

5 0

3 years ago

true or false: the points (6, 13), and (21, 33) and (99, 137) all lie on the same line. th equation of the lines is y + /3x + 5.

Phoenix [80]

Answer:

point A (6,13) lies on the equation. True

given point B(21,33) lies on the equation. True

given point C (99, 137) lies on the equation. True

The equation that was given was y = 4/3x + 5

Now,check the given equation for the given points.

1) A (6,13)

Substitute x = 6 in the given equation y = 4/3x +5

y = 4/3(6) + 5 = 4(2) + 5 = 8+5 = 13

y=13

the given point A (6,13) lies on the equation.

2) B (21,33)

Substitute x = 21 in the given equation y=4/3x+5

y=4/3(21) + 5 = 4(7) + 5=28+5=33

y = 33

the given point B(21,33) lies on the equation.

3) C (99, 137)

Substitute x = 99 in the given equation y = 4/3x + 5

y=4/3(99) + 5 = 4(33) + 5 = 132 + 5 = 137

y = 137

the given point C (99, 137) lies on the equation.

There is your answer

8 0

3 years ago

In the isosceles triangle below the congruent side each measure 13 meter if the bases of the triangle is 10 what is the height o

nata0808 [166]

Answer:

height=12

Step-by-step explanation:

To find the height of the triangle first you would have to change it into a right triangle.

The right triangle would have a base of 5 and the hypotenuse would be 13

The n you would use Pythagorean theorem to find the height

${a}^{2} + {b}^{2} = {c}^{2}$

${5}^{2} + {b}^{2} = {13}^{2}$

${b}^{2} = 144$

b=12

4 0

4 years ago

What is (-4,9) as an inequality

Allisa [31]

The answer is [4,9)!

4 0

3 years ago