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Juli2301 [7.4K]
3 years ago
7

A triangle has vertices A(0,0),B(-3,6),and C(0,9). What are the coordinates of the triangle after a dilation with a scale factor

of 3
Mathematics
1 answer:
VLD [36.1K]3 years ago
5 0

Answer: the triangle after the dilation has the vertices A' = (0,0), B' = (-9, 18) and C' = (0, 27)

Step-by-step explanation:

If the dilation is from the origin, then we need to multiplicate each point by the scale factor, then each one of the vertices change as:

A' = 3*A = 3*(0,0) = (0, 0)

B' = 3*B = 3*(-3, 6) = (-3*3, 6*3) = (-9, 18)

C' = 3*C = 3*(0,9) = (0, 3*9) = (0, 27)

Then the triangle after the dilation has the vertices A' = (0,0), B' = (-9, 18) and C' = (0, 27)

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3 years ago
Complete the following statements.
stiv31 [10]

Answer:

A soda bottle contains 2 liters of liquid. Therefore:

The soda bottle contains  67.62 fluid ounces of liquid.

The soda bottle contains 0.525  gallons of liquid.

2) A milk jug contains 2 gallons of milk. Therefore:

The milk jug contains 8  quarts of milk.

The milk jug contains 7.6 liters of milk.

Step-by-step explanation:

We need to complete the statements.

1)

A soda bottle contains 2 liters of liquid. Therefore:

The soda bottle contains -------  fluid ounces of liquid.

  • Converting Liters to fluid ounces

We know that 1 liter = 33.81 fluid ounces

So,  2 liter = 2 x 33.81 = 67.62 fluid ounces

The soda bottle contains 67.62  fluid ounces of liquid.

The soda bottle contains  gallons of liquid.

  • Converting liters to gallons

As, we are not given direct conversion from liters to gallons, first we convert liter to quarts and then convert quarts to gallons

We know that

1 liter = 1.05 quarts

2 liters = 2 x 1.05 = 2.1 quarts

4 quarts = 1 gallon

1 quarts = 1/4 gallon

2.1 quarts = 1/4 * 2.1 = 0.525 gallon

The soda bottle contains 0.525  gallons of liquid.

2)

A milk jug contains 2 gallons of milk. Therefore:

The milk jug contains -------- quarts of milk.

  • Converting gallons to quarts

We know:

1 gallon = 4 quarts

2 gallons = 2 x 4 = 8 quarts

The milk jug contains 8 quarts of milk.

The milk jug contains ------  liters of milk.

  • Converting gallons to liters

We know:

1 gallon = 4 quarts

2 gallon = 8 quarts

1.05 quarts = 1 liter

1 quarts = 1/1.05 liter

8 quarts = 1/1.05 * 8 = 7.6 liter

The milk jug contains 7.6 liters of milk.

6 0
2 years ago
Square ABCD and square EFGH share a common center on a coordinate plane. is parallel to diagonal . Across how many lines of refl
Oduvanchick [21]
Square ABCD and square EFGH will reflect onto themselves across 8 lines of reflection
7 0
3 years ago
Read 2 more answers
What are the solutions of x² + 6x - 16 = 0?
AveGali [126]

Step-by-step explanation:

x_{1,\:2}=\frac{-6\pm \sqrt{6^2-4\cdot \:1\cdot \left(-16\right)}}{2\cdot \:1}\\\sqrt{6^2-4\cdot \:1\cdot \left(-16\right)}\\\sqrt{6^2+64}\\\sqrt{36+64}\\\sqrt{100}\\\sqrt{10^2}\\=10\\x_1=\frac{-6+10}{2\cdot \:1},\:x_2=\frac{-6-10}{2\cdot \:1}\\\\\bold{x_1:2}\\\frac{-6+10}{2\cdot \:1}\\\frac{4}{2\cdot \:1}\\\frac{4}{2}\\=2\\\\\bold{x_2:-8}\\\frac{-6-10}{2\cdot \:1}\\\frac{-16}{2\cdot \:1}\\\frac{-16}{2}\\-\frac{16}{2}\\=-8

Answer:

x₁ = 2

x₂ = -8

6 0
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If the area of a rectangle is 83& and the width of a rectangle is 2&, what is the length of the rectangle?
zepelin [54]

Answer:

l=41.5

Step-by-step explanation:

Using the formula A=wl

l= \frac{A}{w} }=\frac{83}{2}=41.5

5 0
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