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3 years ago

Triangle A is the pre-image in a translation, and triangle B is the image, as shown below.

Mathematics

2 answers:

Evgen [1.6K]3 years ago

8 0

Answer:

Your answer would be 6 units right.

Hope this was helpful!

Vika [28.1K]3 years ago

5 0

Answer:

six units right

Step-by-step explanation:

we know that

The point $(-4,1)$ in the triangle A is translated to the point $(2,1)$ in the triangle B

The rule of the translation is equal to

$(x,y)-------> (x+6,y)$

That means-------> The translation is six units to the right

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Stolb23 [73]

Answer:

3t-9 >= 0

Step-by-step explanation:

Original function f(t)= square root 3t-9

There cannot be a negative in the radicand therefore 3t-9 cannot equal a negative number.

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3 years ago

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Find the volume of the cylinder<br> Type an exact answer in terms of pi

ZanzabumX [31]

Answer:

648pi

Step-by-step explanation:

V=pi*r^2*h

V=pi*9^2*8

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V=648pi

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3 years ago

He fills the pencil holder with sand before he wraps it to make it feel like a heavy, expensive gift. How much sand will he need

torisob [31]

Answer:

Answer choice d

Step-by-step explanation:

To find the volume of this triangular prism, you first need to find the area of the triangular base. The formula for the area of a triangle is bh/2, which in this case is 3*2/2=3 square units. Multiplying this by the height of the prism, 3.5, you get a total of 10.5 cubic inches, or answer choice d. Hope this helps!

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2 years ago

A motorboat travels 165 kilometers in 3 hours going upstream and 510 kilometers in 6 hours going downstream. What is the rate of

nikitadnepr [17]

<h3>Rate of the boat in still water is 70 km/hr and rate of the current is 15 km/hr</h3><h3><u>Solution:</u></h3>

Given that,

A motorboat travels 165 kilometers in 3 hours going upstream and 510 kilometers in 6 hours going downstream

Therefore,

Upstream distance = 165 km

Upstream time = 3 hours

<h3><u>Find upstream speed:</u></h3>

$speed = \frac{distance}{time}\\\\speed = \frac{165}{3}\\\\speed = 55$

Thus upstream speed is 55 km per hour

Downstream distance = 510 km

Downstream time = 6 hours

<h3><u>Find downstream speed:</u></h3>

$speed = \frac{510}{6}\\\\speed = 85$

Thus downstream speed is 85 km per hour

<em><u>If the speed of a boat in still water is u km/hr and the speed of the stream is v km/hr, then</u></em>

Speed downstream = u + v km/hr

Speed upstream = u - v km/hr

Therefore,

u + v = 85 ----- eqn 1

u - v = 55 ----- eqn 2

Solve both

Add them

u + v + u - v = 85 + 55

2u = 140

u = 70

<em><u>Substitute u = 70 in eqn 1</u></em>

70 + v = 85

v = 85 - 70

v = 15

Thus rate of the boat in still water is 70 km/hr and rate of the current is 15 km/hr

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3 years ago

A ball is thrown from first base to second base and then from second base to home plate. How many feet has the ball been thrown?

RSB [31]

Answer:

B. 90 + 90 √2

Step-by-step explanation:

From first base to the second base, it will travel 90 feet.

From the second base to the home plate, it will travel a longer distance. How much? Well, if you look at the layout of the field, you'll see that if you draw a line from second base to the home plate, you'll form two rectangular triangles, one with the 1st base, another one with the 3rd base.

The line from the 2nd base to home plate is the hypotenuse, which we can easily find by:

h²=90² + 90²

h = √(2 * 90²)

h = 90 √2

So, from second base to home plate, the ball has traveled 90 √2

Overall: 90 + 90 √2

8 0

3 years ago