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FromTheMoon [43]
3 years ago
9

(02.05 MC) Determine if the two figures are congruent and explain your answer. (10 points)

Mathematics
1 answer:
IRINA_888 [86]3 years ago
6 0

Answer:

They are congruent

Step-by-step explanation:

All of the sides and the angles are the same and it is just a rotation.

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What is the vertex for the equation f(x)=3(x+4)^2-5
Ivahew [28]
Take derivative..
f'(x) = 3*2*(x+4)
f'(x) is must be equal to 0.
6*(x+4)=0
x=-4

for x=-4; what is the y value?
for x=-4; f(x)=-5

the vertex is (-4,-5)<span />
4 0
3 years ago
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Anthony's age, x, is 5 less than twice Brian's age, y. Brian's age is 7 less than Anthony's age. Which system of equations repre
ch4aika [34]

Answer:

Anthony's age: 2y - 5 = x

Brian's age: x - 7 = y

Step-by-step explanation:

Anthony: If his age is 5 less, this means - 5 is in the equation. It is 5 less than twice Brian's age, meaning × 2, or in algebra, 2y. So Anthony's age is 2y - 5

Brian: His age is 7 less so this means - 7 is in the equation. We know Anthony's age is x so Brian's age is x - 7

6 0
2 years ago
What is the length of the altitude of the equilateral triangle below
AVprozaik [17]

Answer

Find out the altitude of the equilateral triangle .

To proof

By using the trignometric identity.

tan\theta = \frac{Perpendicular}{base}

As shown in the diagram

and putting the values of the angles , base and perpendicular

tan 60^{\circ} = \frac{a}{4\sqrt{3}}

tan 60^{\circ} = \sqrt{3}

solving

\sqrt{3} = \frac{a}{4\sqrt{3}}

a = \sqrt{3}\times 4 \sqrt{3}

As

\sqrt{3}\times \sqrt{3} = 3

put in the above

a = 4 × 3

a = 12 units

The  length of the altitude of the equilateral triangle is 12 units .

Option (F) is correct .

Hence proved






3 0
3 years ago
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When Klorina swims with the current, she swims 10 km in 2 h. Against the current, she can swim only 8 km in the same time. How f
nasty-shy [4]

Answer:

Klorina's rate in still water is 4.5 km/h

Current's rate is 0.5 km/h

Step-by-step explanation:

Let

x km/h = Klorina's rate in still water

y km/h = current's rate

<u>With the current (current helps):</u>

Distance = 10 km

Time = 2 hours

Rate = x + y km/h

10=2(x+y)

<u>Against the current:</u>

Distance = 8 km

Time = 2 hours

Rate = x - y km/h

8=2(x-y)

Divide both equations by 2:

x+y=5\\ \\x-y=4

Add these equations:

x+y+x-y=5+4\\ \\2x=9\\ \\x=4.5\ km/h

Subtract these two equations:

(x+y)-(x-y)=5-4\\ \\x+y-x+y=1\\ \\2y=1\\ \\y=0.5\ km/h

4 0
3 years ago
Sketch a 3 by y square. Find its area in terms of y show your reasoning
user100 [1]
Well it says SQUARE so in a square all sides are equivalent so it will be 3x3 and that will hy your answer (y=3)
7 0
3 years ago
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