How many solutions are there for the system shown below? 2x² + y2 = 33 x2 + y + 2y=19

s2008m [1.1K]

Answer:

$x=6$

Step-by-step explanation:

The lengths of line segments $\overline{AB}$ and $\overline{AC}$ because of the two segments and two angles marked as equal in the diagram. Because of this, the arcs $\widehat{AB}$ and $\widehat{AC}$ are equal.

Since there are 360 degrees in a circle, we can now set up the following equation:

$(10x-23)+(10x-23)+106=180,\\20x-46+106=180,\\20x+60=180,\\20x=120,\\x=\boxed{6}$

3 0

3 years ago

What two perfect squares does 330 fall between?

horrorfan [7]

Answer:

165

Step-by-step explanation:

corecy

7 0

3 years ago

Read 2 more answers

Which polynomials are in standard form?

Kruka [31]

Answer:

Regular type is called the form in which polynomials are mostly used. The parameters are calibrated to the lowest degree. The polynomial x4 + 2x3+x+11 is standard, for instance, because four are most strong and three and one are the strongest.

Step-by-step explanation:

3 0

3 years ago

i don't understand how to make it into a graphing form? how do you find the center and radius? (I'm confused because it has a 4x

Vilka [71]

Answer: $\bold{(x-2)^2+(y-3)^2=\dfrac{1}{4}}$

Center = (2, 3) radius = $\bold{\dfrac{1}{2}}$

Step-by-step explanation:

When both the x² and y² values are equal and positive, the shape is a circle. Complete the square to put the equation in format:

(x-h)² + (y-k)² = r² where

(h, k) is the vertex
r is the radius

1) Group the x's and y's together and move the number to the right side

4x² - 16x + 4y² - 24y = -51

2) Factor out the 4 from the x² and y²

4(x² - 4x ) + 4(y² - 6y ) = -51

3) Complete the square (divide the x and y value by 2 and square it)

$4[x^2-4x+\bigg(\dfrac{-4}{2}\bigg)^2]+4[y^2-6y+\bigg(\dfrac{-6}{2}\bigg)^2]=-51+4\bigg(\dfrac{-4}{2}\bigg)^2+4\bigg(\dfrac{-6}{2}\bigg)^2$

= 4(x - 2)² + 4(y - 3)² = -51 + 4(-2)² + 4(-3)²

= 4(x - 2)² + 4(y - 3)² = -51 + 4(4) + 4(9)

= 4(x - 2)² + 4(y - 3)² = -51 + 16 + 36

= 4(x - 2)² + 4(y - 3)² = 1

4) Divide both sides by 4

$(x-2)^2+(y-3)^2=\dfrac{1}{4}$

(h, k) = (2, 3)
$r=\dfrac{1}{2}$

6 0

3 years ago

Multiply or divide. Show your work. 3n²-n/n²-1÷n²/n+1

Ugo [173]

$\frac{3n^{2} - n}{n^{2} - 1} \div \frac{n^{2}}{n + 1}$
$\frac{n(3n) - n(1)}{n^{2} + n - n - 1} \div \frac{n^{2}}{n + 1}$
$\frac{n(3n - 1)}{n(n) + n(1) - 1(n) - 1(1)} \div \frac{n^{2}}{n + 1}$
$\frac{n(3n - 1)}{n(n + 1) - 1(n + 1)} \div \frac{n^{2}}{n + 1}$
$\frac{n(3n - 1)}{(n - 1)(n + 1)} \div \frac{n^{2}}{n + 1}$
$\frac{n(3n - 1)}{(n - 1)(n + 1)} * \frac{n + 1}{n^{2}}$
$\frac{3n - 1}{n - 1} * \frac{1}{n}$
$\frac{3n - 1}{n(n - 1)}$

5 0

3 years ago