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2 years ago

Find the measures of 21 and 2

Mathematics

1 answer:

KatRina [158]2 years ago

6 0

Measure 1 would be 59 degrees (180-121)
Measure 2 would be 121 degrees (vertical angle theorem)

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For what values of x and y is the equation (x2 + y2)2 = (x2 – y2)2 + (2xy)2 true?

denis-greek [22]

Answer:

A) all values of x, and all values of y

B) (3a + 4b) (9a² − 12ab + 16b²)

Step-by-step explanation:

(x² + y²)² = (x² − y²)² + (2xy)²

x⁴ + 2x²y² + y⁴ = x⁴ − 2x²y² + y⁴ + 4x²y²

x⁴ + 2x²y² + y⁴ = x⁴ + 2x²y² + y⁴

27a³ + 64b³

(3a)³ + (4b)³

(3a + 4b) (9a² − 12ab + 16b²)

6 0

3 years ago

WORTH 50 POINTS NEED HELP FAST

lutik1710 [3]

First a reflection in the y-axis

Then a translation of 3 units upwards.

7 0

3 years ago

I need help ASAP thank you

PIT_PIT [208]

Answer:

Step-by-step explanation:

every single graph is asimethrical because they have no trend.

4 0

3 years ago

Three cell phones towers can be modeled by the points X(6,0), Y(8,4), and Z(3,9). Determine the location of another cell phone t

Marat540 [252]

Answer:

The location of the new cell phone tower is $(h,k) = (3,4)$ , and the equation of the circle is $x^{2}+y^{2} -6\cdot x - 8\cdot y = 0$ .

Step-by-step explanation:

The location of the cell phone tower coincides with the location of a circunference passing through the three cell phone towers. By Analytical Geometry, the equation of the circle is represented by the following general formula:

$x^{2} + y^{2}+A\cdot x + B\cdot y +C = 0$ (1)

Where:

$x$ - Independent variable.

$y$ - Dependent variable.

$A$ , $B$ , $C$ - Circunference constants.

Given the number of variable, we need the location of three distinct points:

$(x_{1},y_{1}) = (6,0)$

$36 +6\cdot A + C = 0$

$(x_{2},y_{2}) = (8,4)$

$80 + 8\cdot A + 4\cdot B + C = 0$

$(x_{3},y_{3}) = (3,9)$

$90 + 3\cdot A + 9\cdot B + C = 0$

Then, we have the following system of linear equations:

$6\cdot A + C = -36$ (2)

$8\cdot A +4\cdot B + C = -80$ (3)

$3\cdot A + 9\cdot B + C = -90$ (4)

The solution of this system is:

$A = -6$ , $B = -8$ , $C = 0$

By comparing the general form with the standard form of the equation of the circunference is:

$A = -2\cdot h$ (5)

$B = -2\cdot k$ (6)

$C = h^{2}+k^{2}-r^{2}$ (7)

Where:

$h$ , $k$ - Coordinates of the center of the circle.

$r$ - Radius of the circle.

If we know that $A = -6$ , $B = -8$ and $C = 0$ , then coordinates of the center of the circle and its radius are, respectively:

$h = -\frac{A}{2}$

$k = -\frac{B}{2}$

$r = \sqrt{h^{2}+k^{2}-C}$

$h = 3$ , $k = 4$ , $r = 5$

The location of the new cell phone tower is $(h,k) = (3,4)$ , and the equation of the circle is $x^{2}+y^{2} -6\cdot x - 8\cdot y = 0$ .

3 0

2 years ago

Is 0.9 greater,least than, or equal to 95%

Vanyuwa [196]

Answer:

Less

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers