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Leno4ka [110]
3 years ago
6

The right arrow symbol used to show the transition from a point to its image after a transformation is not contained within the

Equation Editor. If such a symbol is needed, type "RightArrow." For example: P(0, 0) RightArrow P′(1, 2).
Triangle ABC has coordinates
A (1,4);B(3,−2); and C(4,2).
Find the coordinates of the image
A'B'C' after a reflection over the x-axis.
Mathematics
1 answer:
Bumek [7]3 years ago
7 0

Given:

Vertices of triangle ABC are A (1,4), B(3,−2) and C(4,2).

Triangle ABC reflected over the x-axis to get the triangle A'B'C'.

To find:

The coordinates of the image A'B'C'.

Solution:

If a figure reflected over the x-axis, then rule of transformation is

(x,y)\to (x,-y)

Now, using this rule, we get

A(1,4)\to A'(1,-4)

B(3,-2)\to B'(3,2)

C(4,2)\to C'(4,-2)

Therefore, the coordinates of the image  A'B'C' after a reflection over the x-axis are A'(1,-4), B'(3,2) and C'(4,-2).

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Help please<br><br> Factorise<br><br> x²-x-56<br><br> its due in 4 minutes
Iteru [2.4K]

Answer:

(x-8)(x+7)

Step-by-step explanation:

using quadratic formula we have

x=  \frac{-b+-\sqrt{b^{2}-4*a*c}}{2*a}

we have:

x^2-x-56=0

a= 1 b=-1 c=-56

so we have:

x=(-(-1)+-sqrt(1^1-4*(1)*(-56)))/(2*1)

x=1+-sqrt(1-4*(-56))/(2)

x=(1+-sqrt(225))/2

x=(1+-15)/2

so we have the roots:

x1=(1+15)/2 =8

x2=(1-15)/2=-7

so the answer is (x-8)(x+7)

7 0
3 years ago
Read 2 more answers
|1/4 x +2| -3 =5 solve for x and graph on number line
kaheart [24]

The value of x on the number line is 24 and - 40

A number line in elementary mathematics is a representation of a graduated straight line that acts as an abstraction for real numbers, represented by the letter R. It is assumed that every point on a number line corresponds to a real number, and that every real number corresponds to a point.

When seen as a geometric space, namely the one-dimensional Euclidean space, the number line, also known as a real line in advanced mathematics, is technically defined as the set R of all real numbers. It can be conceptualized as a linear continuum, metric space, topological space, vector space (or affine space), measure space, or topological space.

The given equation is

|\frac{1}{4}x+2 | -3=5

Solving the equation:

or,|\frac{1}{4}x+2 | =5+3\\or,|\frac{1}{4}x+2 |=8\\or,\frac{1}{4}x+2=\pm8\\or,x+8=\pm32\\or,x=-8\pm32

Now we take the two separate values of x:

either x=-8+32 or x=-8-32

or,x=24 or x=-40

The value of x is 24 and - 40.

To learn more about number line:

brainly.com/question/24644930

#SPJ9

7 0
1 year ago
Coach Smith went to the sporting goods store to get ready for tennis season. He bought 25 containers of tennis balls and 12 pack
sesenic [268]

Answer:

C

Step-by-step explanation:

143.75+ tax(7.1875)= 150.9375 <-- Tennis Ball Containers

30+ tax(1.5)= 31.5 <-- Packs of Grip Tape

150.9375+31.5= 182.4375

This can be rounded up to 182.44 (which is your final answer)

5 0
3 years ago
Given a geometric sequence in the table below, create the explicit formula and list any restrictions to the domain.
Makovka662 [10]

Given:

The geometric sequence is:

n              a_n

1                        -4

2                      20

3                     -100

To find:

The explicit formula and list any restrictions to the domain.

Solution:

The explicit formula of a geometric sequence is:

a_n=ar^{n-1}            ...(i)

Where, a is the first term, r is the common ratio and n\geq 1.

In the given sequence the first term is -4 and the second term is 20, so the common ratio is:

r=\dfrac{a_2}{a_1}

r=\dfrac{20}{-4}

r=-5

Putting a=-4,r=-5 in (i), we get

a_n=-4(-5)^{n-1} where n\geq 1

Therefore, the correct option is B.

5 0
3 years ago
Evaluate the expression 11C3
butalik [34]
Evaluating the expression 11C3 is very simple to do. 

If you are assuming that C is the notation for the combination. 
             11!
11C3= ____
     
            3!(11-3)!
3 0
3 years ago
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