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rosijanka [135]
3 years ago
9

the vertices of ABC are A(2, -5) B(-3, 5) C(3, -3) the triangle is reflected over the x-axis use arrow nation to describe the or

iginal triangle and it reflection.
Mathematics
1 answer:
tekilochka [14]3 years ago
4 0

ANSWER

A(2,-5)\to A'(2,5)

B(-3,5)\to B'(-3,-5)

C(3,-3)\to C'(3,3)

EXPLANATION

The vertices of ABC are A(2, -5) B(-3, 5) C(3, -3).

We want to find the vertices of this triangle after a reflection over the x-axis.

The mapping for the reflection over the x-axis is

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

Therefore,

A(2,-5)\to A'(2,5)

B(-3,5)\to B'(-3,-5)

C(3,-3)\to C'(3,3)

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7 1/2 lb =_oz<br> please help me
KonstantinChe [14]
1 lb is equal to 16 oz, therefore 16 * 7 is 112oz then add 1/2 lb which is 8oz so the final answer is 120 oz
3 0
4 years ago
After heating up in a teapot, a cup of hot water is poured at a temperature of 204°F.
laila [671]

Answer:

  • Question 1: 0.081 min⁻¹
  • Question 2: 168ºF

Explanation:

The missing equation is:

             T=T_a+(T_0-T_a)e^{-kt}

You are given:

  • Ta = the temperature surrounding the object = 73ºF
  • T₀ = the initial temperature of the object = 204ºF
  • t = 2.5 min
  • T after 2.5 min = 180ºF

Question 1: Find the the value of k.

Substitute the data into the equation and solve for k:

          180\º=73\º+(204\º-73\º)e^{-k\cdot 2.5min}\\ \\ 107\º=131\ºe^{-k\cdot 2.5min}\\\\-k\cdot 2.5min=\ln (107/131)\\\\k=0.081min^{-1}

Question 2: Find the Fahrenheit temperature of the cup of water, to the nearest degree, after 4 minutes.

Subsititute into the formula and compute:

            T=73\ºF+(204\ºF-73\ºF)e^{-0.081min^{-1}\times 4min}\\ \\ T=73\ºF+(131\ºF)(0.72325024)\\\\T=168\ºF

4 0
4 years ago
Let f(x) = x2 − 8x + 5. Find f(−1)
rewona [7]

Answer:

14

Step-by-step explanation:

f(x)=x^2-8x+5

now substitute x for -1

f(-1)=(-1)^2-8(-1)+5

now solve

f(-1)=1+8+5

f(-1)=14

there is your answer! hope this helps! :)

5 0
3 years ago
Read 2 more answers
A boat captain can see a lighthouse on the shore which is 103ft in front of him. If the lighthouse is 22ft tall, at what angle o
elena-14-01-66 [18.8K]

Answer:

  • 21°

Step-by-step explanation:

A boat captain, lighthouse and its base form a right triangle.

<u>We need to find the angle opposite to 22 ft side:</u>

  • tan x = 22/103
  • x = arctan (22/103)
  • x = 21°

<em>Note, option D should read 21° not 11°</em>

5 0
3 years ago
Please answer number 1 and 2.
zavuch27 [327]

1, a.) The two specific conjectures are in the first image.

1, b.) The two general conjectures are in the second image.

2, a.) Two specific conjectures for this pattern are:

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2, b.) From our observation two general conjecture is that the given sequence is an arithmetic sequence and the common difference is 3.

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7 0
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