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2 years ago

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Mathematics

1 answer:

WINSTONCH [101]2 years ago

4 0

9514 1404 393

Answer:

A. CCW 180° about the origin

Step-by-step explanation:

Figure B appears to be a reflection of Figure A across the origin. Such a reflection can be described by any of ...

reflection across the origin
rotation 180° CW about the origin
rotation 180° CCW about the origin
reflection across the x-axis followed by reflection across the y-axis
reflection across the y-axis followed by reflection across the x-axis.

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Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). A construction

charle [14.2K]

Answer:

$y=\frac{11}{20}x+6$

Step-by-step explanation:

Given:

Two points are given

x = number of minutes

y = length of the lin

$(x_{1},y_{1} )$ ⇒ (0, 6)

$(x_{2},y_{2} )$ ⇒ (20, 17)

We need to find the equation that represents the relationship between x, y.

Solution:

Using slope formula to find the slope of the equation of the line.

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Substitute $(x_{1},y_{1} )$ = (0, 6) and $(x_{2},y_{2} )$ = (20, 17) in above equation.

$m=\frac{17-6}{20-0}\\m=\frac{11}{20}$

So, slope of the line $m = \frac{11}{20}$

Using point slope formula.

$(y-y_{1})=m(x-x_{1})$ ------------(1)

Where, m = slope of the line

Substitute $(x_{1},y_{1} )$ ⇒ (0, 6) and $m = \frac{11}{20}$ in equation 1.

$(y-6)=\frac{11}{20} (x-0)$

$y-6=\frac{11}{20}x$

Add 6 both side of the equation.

$y-6+6=\frac{11}{20}x+6$

$y=\frac{11}{20}x+6$

Therefore, the equation that represents the relationship between x and y is written as:

$y=\frac{11}{20}x+6$

6 0

3 years ago

What are the domain and range for this graph?

RideAnS [48]

ANSWER

c. Domain: [0,18]

Range: [0,360]

EXPLANATION

The domain refers to the values of x for which the function is defined.

The given straight line graph is defined for x=0 to x=18.

Hence the domain is [0,18]

The range refers to the values of y for which x is defined.

The graph is defined for y=0 to y=360.

The range is [0,360]

6 0

3 years ago

A carpenter is constructing staircase in a house. The distance from the floor to the basement is 10.8 feet. The staircase will b

konstantin123 [22]

Answer:

$\theta = 40.59^\circ$

Step-by-step explanation:

Given

The question is illustrated with the attached image

Required

Find $\theta$

To do this, we use sine formula

i.e.

$\sin(\theta) = \frac{Opposite}{Hypotenuse}$

So, we have:

$\sin(\theta) = \frac{10.8}{16.6}$

$\sin(\theta) = 0.6506$

Take arc sin

$\theta = \sin^{-1}(0.6506)$

$\theta = 40.59^\circ$

4 0

2 years ago

Simplify and determine the coefficient of (- x)(3y)(-2x).

Valentin [98]

Answer:

6yx2

Step-by-step explanation:

brackets means multiply hence -x×3y×-2x

6 0

2 years ago

Which of the following is a result of the construction of a median of a triangle?

olga2289 [7]

9514 1404 393

Answer:

A side of the triangle is bisected

Step-by-step explanation:

The median of a triangle connects a vertex to the midpoint of the opposite side. That is, it bisects the side it meets:

A side of the triangle is bisected

_____

<em>Comment on other choices</em>

A median will be an angle bisector only if the triangle is isosceles. Likewise, it will only be perpendicular to the side if the triangle is isosceles.

There are several points called "center" of a triangle, including the centroid (on the median), the incenter, the circumcenter, and the orthocenter.

5 0

3 years ago