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erastova [34]
3 years ago
7

If triangle XYZ is reflected across the line y = 1 to create triangle X'Y'Z', what is the ordered pair of X'? 

Mathematics
2 answers:
Nana76 [90]3 years ago
6 0
X is 4 below y =1 so the image will be 4 above  y = 1. The x coorinadte will be the same.

So x' is (1,5)  answer

D
Vlad1618 [11]3 years ago
3 0

Consider triangle XYZ with vertices at points X(1,-3), Y(3,0) and Z(-1,-1). If triangle XYZ is reflected across the line y = 1, then the rule of reflection is

(x,y)→(x,-y+2).

The image X' of point X will have coordinates according to the given rule:

X(1,-3)→X'(1, -(-3)+2)=X'(1,5).

Answer: correct choice is D.

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one morning the temperature is -28 in Anchorage, Alaska, and 65 in Miami, Florida. How many degrees warmer was it in Miami than
polet [3.4K]

since the first number is negative and the 2nd is positive just add the two together

-28 + 65 = 93 degree warmer in Miami

8 0
3 years ago
Determina el centro,radio y gráfica de la circunferencia:(x+2)2 + (y-3)2=121
Sergeu [11.5K]

Answer:

La ecuación genérica para un círculo centrado en el punto (a, b), de radio R, es:

(x - a)^2 + (x - b)^2 = R^2

Entonces si miramos a nuestra ecuación:

(x + 2)^2 + (y - 3)^2 = 121

Tendremos el centro en:

(-2, 3)

el radio está dado por:

R^2 = 121

R = √121 = 11

La gráfica de esta circunferencia se puede ver en la imagen de abajo.

6 0
3 years ago
Select the numbers that make the inquality true. selct all that apply. m > 0
sineoko [7]

Answer:

1, 2, 3

Step-by-step explanation:

5 0
3 years ago
Tom opens a bank account and makes an initial deposit of $500. The banker tells Tom that he is going to revive an annual rate of
daser333 [38]

So for this you will be using an exponential equation, which is y=ab^x with a=initial value, b=growth/decay, y = total balance, and x = # of years


In this case, a = 500, and since with this problem the initial value is growing, you will add 100% to 6% to get 106%, or 1.06. The equation will be formed as such: y=500(1.06)^x


With this problem, just plug in 15 into x and solve for y: y=500(1.06)^{15}\\ y=1198.28


In short, after 15 years Tom will have $1198.28 in his account.

5 0
3 years ago
Read 2 more answers
The graph below shows the solution to which system of inequalities?
nlexa [21]

Answer:

Option D.

Step-by-step explanation:

Consider option D. y\leq \frac{3x}{4}+10\,,\,y\leq \frac{-x}{2}-3

Take point (0,0)

On putting this point in inequation y\leq \frac{3x}{4}+10 , we get

0\leq 10 which is true . So, solution is region towards the origin i,e region below the line y= \frac{3x}{4}+10 including the line itself .

On putting (0,0) in inequation y\leq \frac{-x}{2}-3 , we get 0\leq -3 which is false , so solution is region away from the origin i.e region below line y= \frac{-x}{2}-3 including the line itself .

So, common solution to both the inequations is the shaded part in the given figure .

In other words, we can say that the graph shown in the given figure represents system of equations: y\leq \frac{3x}{4}+10\,,\,y\leq \frac{-x}{2}-3

5 0
3 years ago
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