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siniylev [52]
3 years ago
15

TriangleABC has vertices A(0, 6) , B(−8, −2) , and C(8, −2) . A dilation with a scale factor of 12 and center at the origin is a

pplied to this triangle. What are the coordinates of B′ in the dilated image? Enter your answer in the boxes. B′ has a coordinate pair of ( , )
Mathematics
2 answers:
astraxan [27]3 years ago
8 0

Step-by-step Answer:

A dilation about (0,0) or origin has the rule

(x,y) -> (kx,ky)

where k is the scale factor, (x,y) denotes the preimage, and (kx,ky) denotes the image.

For B(-8,-2), and k=12,

we have

B'(-8*12,-2*12) = B'(-96,-24)

STatiana [176]3 years ago
8 0

Answer:

(-8,-2)

Step-by-step explanation:

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4 points Item 5 is unpinned. Click to pin. A cylindrical oil drum is 2.1 meters high and has a radius of 0.9 meters. How many cu
pashok25 [27]

Answer:

53.44 cubic meters

Step-by-step explanation:

A cylindrical oil drum is 2.1 meters high and has a radius of 0.9 meters. How many cubic meters of oil can the drum hold? (volume)

Volume of a cylinder = π × r² × h

r = 0.9 meters

h = 2.1 meters

= π × (0.9m)² × 2.1m

= 53.44 cubic meters

Therefore, the volume of the cylindrical oil drum = 53.44 cubic meters

7 0
3 years ago
Why is the letter i the square root of negative one ( <img src="https://tex.z-dn.net/?f=%5Csqrt%7B-1%7D" id="TexFormula1" title=
Alja [10]

Answer:

It is an imaginary number.

Step-by-step explanation:

The square root of negative one is "i," the imaginary number. This concept is immensely useful in mathematics, as it allows for there to be square roots of negative numbers, which is otherwise not possible using only real numbers.

Any number that includes a negative square root is called an imaginary number. For example, the square root of -9 equals 3i, an imaginary number. When an imaginary number and a real number are combined, for example 2 + 3i, this is called a complex number. Complex numbers have many real world applications, including manipulating sound waves and calculating electrical currents.

3 0
3 years ago
Plz help me I really don't know
Alex
The value of the expression would be 16.25 or 16 and 1/4, because when you multiply something by 1/2, you’re basically dividing it by 2, and when you put parentheses next to a number (for example 2(4) ), it means that you’re multiplying it, and when more than one values are in the parentheses, they all get multiplied, basically distributive property.
5 0
3 years ago
10 times as many as 1 ten is. Ten
zysi [14]

Answer:

10 times as many as 1 ten is ten

that is 10*1=10

5 0
3 years ago
I know its hard to see, but if you can see it, can you plz help me with #59. Thnks.
Gnoma [55]
C

A slope of \frac{4}{3} &#10;&#10; means that for every time x goes up by 3, y goes up by 4.

28 - 22 = 6 which is 2 times 3.
while 10-2 = 8 which is 2 times 4.

This fits the slope.

7 0
3 years ago
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