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Alecsey [184]
3 years ago
12

What is the algebraic rule for reflection

Mathematics
2 answers:
Basile [38]3 years ago
7 0
When you reflect a point across the y-axis, the y coordinate remains the same, but the x-coordinates is transformed into its oppisite
BabaBlast [244]3 years ago
4 0

Answer:

reflection across line y=x:

(x,y)---->(y,x)

reflection across line y=-x:

(x,y)---->(-y,-x)

reflection across x-axis:

(x,y)---->(x,-y)

reflection across y-axis:

(x,y)---->(-x,y)

Step-by-step explanation:

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Find the slope and y intercept of the line whose equation is -6x+y=-4
Ad libitum [116K]
For
ax+by=c
slope=-a/b

we have
-6x+1y=-4
slope=-6/-1=6
slope is 6

yint is where x=0

-6(0)+y=-4
0+y=-4
y=-4
yint is at y=-4 or (0,-4)
8 0
3 years ago
Based on the diagram below, what is the measure of arc DC ?
emmainna [20.7K]

Given:

A diagram of a circle O, arc(AB)=y^\circ, arc(CD)=(80+y)^\circ.

To find:

The measure of arc DC.

Solution:

According to the angle of intersecting chords theorem:

Angle at intersection of chords = Half of the sum of intercepted arcs.

Let \theta be the angle between the intersection of chords AC and BD.

\theta +112^\circ=180^\circ      (Linear pair)

\theta =180^\circ-112^\circ

\theta =68^\circ

Using the angle of intersecting chords theorem, we get

\theta=\dfrac{arc(AB)+arc(CD)}{2}

68^\circ =\dfrac{y^\circ+(80+y)^\circ}{2}

136^\circ =(80+2y)^\circ

On simplification, we get

136=80+2y

136-80=2y

56=2y

Divide both sides by 2.

28=y

Now,

arc(DC)=(80+y)^\circ

arc(DC)=(80+28)^\circ

arc(DC)=108^\circ

Therefore, the correct option is C.

5 0
3 years ago
The height of a prism,cylinder, pyramid, or cone is always_ to the base
m_a_m_a [10]

Answer:

The height of a prism, cylinder, pyramid, or cone is from base to base?? Except for pyramid.. for pyramid it is from the center of the base to the point at the top of the pyramid I guess.

Step-by-step explanation:

Hope that helped!

6 0
3 years ago
a stock has a price of $58.63. This is $5.92 less than the price of stock yesterday. Write and solve an equation to find the pri
masha68 [24]

Answer:

$52.71

Step-by-step explanation:

Today's price= $58.63

Yesterday's price= y

Difference= $5.92

y+5.92 = 58.63

y = 58.63 - 5.92

= $52.71

8 0
3 years ago
What are the solutions to x2−10x=39? Question 4 options: 3 and -13 1 and -39 -1 and 39 -3 and 13
aliina [53]

Answer:

x=-3,13

Step-by-step explanation:

Given: x^2-10x=39

To find: solutions of the given equation

Solution:

x^2-10x=39\\x^2-10x-39=0

Write -10=-13+3

Therefore,

x^2-13x+3x-39=0\\x(x-13)+3(x-13)=0\\(x+3)(x-13)=0\\x=-3,13

So, solutions of the given equation are -3 and 13.

8 0
3 years ago
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