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2 years ago

1

Mathematics

1 answer:

Eduardwww [97]2 years ago

7 0

Answer:

Cartesian plane: This is a particular case of a coordinate plane, such that we have two (or more) perpendicular axes, and usually is used for rectangular coordinates.

Two-dimensional: A coordinate plane can be two-dimensional, some examples are polar coordinates, where the coordinates are the radius and the angle, or rectangular coordinates, where the variables are x and y.

Three-dimensional: Similar to before, a coordinate plane can be three-dimensional in several ways, like in spherical coordinates or cylindrical coordinates.

Extends forever: The axes in a rectangular coordinate plane extend forever, so this description also works.

Perpendicular axes: In some cases, like in rectangular coordinates, the axes are perpendicular, (but not always) so this can also be used.

Parallel axes: As each axis is measured along its length, having two parallel axes will be useless (as we could use only one axis instead of two) so this is the only one that would not apply to a coordinate axis.

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M angle JKL=<br> Help me please! Asap thanks so much :)

Lunna [17]

The measure of the angle <JKL is 56 degrees

<h3>Tangent secant theorem of a circle</h3>

The theorem states that if a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.

Given the following parameters

m<IL = 112 degrees

Since the measure of the vertex is half the measure of its intercepted arc, hence;

<JKl = 1/2(m<IL)

Substitute the given parameters into the formula to have;

<JKl = 1/2(112)

<JKL = 56 degrees

Hence the measure of the angle <JKL is 56 degrees

Learn more on Tangent secant theorem here: brainly.com/question/26826991

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8 0

11 months ago

Write an equation of an ellipse in standard form with the center at the origin and a height of 12 units and width of 19 units.

gladu [14]

Answer:

The equation of the ellipse in standard form is 4x²/361 + y²/36 = 1

Step-by-step explanation:

* Lets revise the equation of the ellipse

- The standard form of the equation of an ellipse with center (0 , 0 )

and major axis parallel to the x-axis is x²/a² + y²/b² = 1

# a > b

- The length of the major axis is 2a

- The coordinates of the vertices are ( ± a , 0 )

- The length of the minor axis is 2b

- The coordinates of the co-vertices are ( 0 , ± b )

- The coordinates of the foci are ( ± c , 0 ) , where c ² = a ² − b²

* Lets solve the problem

∵ The center of the ellipse is (0 ,0)

∵ Its width is 19 units

∴ The length of the major axis is = 19

∴ 2a = 19 ⇒ divide both sides by 2

∴ a = 19/2 ⇒ ∴ a² = 361/4

∵ Its height is 12 units

∴ The length of the minor axis is = 12

∴ 2b = 12 ⇒ divide both sides by 2

∴ b = 12/2 = 6 ⇒ ∴ b² = 36

- Lets write the equation in standard form

∵ The equation is x²/a² + y²/b² = 1

∴ x²/(361/4) + y²/36 = 1 ⇒ simplify it

∴ 4x²/361 + y²/36 = 1

* The equation of the ellipse in standard form is 4x²/361 + y²/36 = 1

7 0

3 years ago

Determine the value(s) of h such that the matrix is the augmented matrix of a consistent linear system. [Start 2 By 3 Matrix 1s

Leni [432]

Answer: h = 9

Step-by-step explanation: A system of linear equations is consistent when it has at least one solution.

The matrix given is:

$\left[\begin{array}{ccc}-15&21&h\\5&-7&-3\end{array}\right]$

Transform this matrix in a row-echelon form:

$\left[\begin{array}{ccc}-15&21&h\\5&-7&-3\end{array}\right]$ $R_{2} = 3R_{2}+R_{1}$ $\left[\begin{array}{ccc}-15&21&h\\0&0&-9+h\end{array}\right]$

For this row-echelon form to have solutions:

-9 + h = 0

h = 9

For this system to be consistent: h = 9.

3 0

3 years ago

If 1/3 of the school is 6th graders and 1/2 are girls what fraction are 6th grade girls

Mariana [72]

Answer: 1/6

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Answer this math quedtion <br> 40s+(2b)s+200

Elina [12.6K]

Is it supposed to be equal to something, maybe "0"? You wouldn't be able to solve this without that.

5 0

3 years ago