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Sliva [168]
3 years ago
6

What is the equation of the line of reflection that maps

Mathematics
2 answers:
Usimov [2.4K]3 years ago
8 0

Answer:

y- axis

Step-by-step explanation:

Under a reflection in the y- axis

a point (x, y ) → (- x, y )

Consider the corresponding vertices

A(- 1, - 1 ) → A'(1, - 1 )

B(- 2, - 1 ) → B'(2, - 1 )

C(- 2, - 4) → C'(2, - 4 )

These coordinates satisfy the condition for reflection in the y- axis

Butoxors [25]3 years ago
5 0

Answer:

Y-axis

Step-by-step explanation:

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4 0
3 years ago
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A thermometer is taken from a room where the temperature is 24oc to the outdoors, where the temperature is −15oc. After one minu
kap26 [50]

Solution:

Use Newton's Law of Cooling.  


T = T_s + (T_0 - T_s)*e^(-kt)  


where  

T = temperature at any instant  

T_s = temperature of surroundings  

T_0 = original temperature  

t = elapsed time  

k = constant  


Now, we need to find this constant. We are given that after one hour, the temperature drops to 13° C in a 7°C Environment.  

T = 14, T_0 = 24, T_s = -15, t = 1, k = ?  

T = T_s + (T_0 - T_s)*e^(-kt)  

==> 14 = -15 + (24 - 7)*e^(-k)  

==> 14 = 7 + 17*e^(-k)  

==> 7 = 17*e^(-k)  

==> 7/13 = e^(-k)  

==> -k = ln(7/17)  

==> k = -ln(7/17) ≈ 0.774  

Now,


Let's calculate temperatures!  

T = ?, T_0 = 24, T_s = -15, k = 0.773, t = 3  

T = T_s + (T_0 - T_s)*e^(-kt)  

==> T = -15 + (24 –(-15))*e^[ -(0.774)(2) ]  

==> T = -15 + 39*e^(-1.548)  

==> T ≈ 15.72° C  

This the required answer.


7 0
3 years ago
Which type of triangle will always have a perpendicular bisector that is also an angle bisector?
jenyasd209 [6]

Answer:

Equilateral triangle will always have a perpendicular bisector that is also an angle bisector.

Step-by-step explanation:

Equilateral triangle property:

  • All sides of the equilateral triangle are equal.
  • Angle of every equilateral triangle are equal to 60°.
  • Every altitude of an equilateral triangle is also a median and a bisector.
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Therefore, by equilateral triangle property;

Perpendicular bisectors are angle bisectors in an equilateral triangle Since, all sides and angles are the same in an equilateral triangle.

Also, the angle bisector of an equilateral triangle forms 90 degree angle with the opposite side and bisects that side.

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Richard bought a pair of shoes for $37.00, a tie for $22.00, and a new belt for $17.00. If the sales tax is 7.5%, how much sales
nadezda [96]

It seems to me, that if you were to add the price of all three items together, then multiply by 7.5%, you'd have the answer.  Remember that 7.5% = .075 ... in other words, that is the number you would multiply the sum of the items by.  Does that help?

8 0
2 years ago
Find the value of b if side a measures 8.7 cm?
Shkiper50 [21]

Answer:

The correct equation is 8.7 + b = 54.6

Step-by-step explanation:

because it is given that measure of side a is 8.7cm, in all other equations the values of a is different.

6 0
3 years ago
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