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2 years ago

Find the coordinates of triangle ABC A(2,1) B(3,0) C(1,-2) after a dilation with a scale factor of 3

Mathematics

1 answer:

Bad White [126]2 years ago

6 0

Answer:

Remember the key word”factor” which means to multiply. Multiple all those numbers by 3!

Step-by-step explanation:I’m going to do 2 of them and you can do the last one (2,1)x3= the dilation (6,3). (3,0)x 3 gives the dilation (9,0). (1,-2)x3 gives the dilation of (3,-6). See it’s very easy.

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What is the center of the circle with the equation: X2 + y2 +18x + 14y + 105 = 0

professor190 [17]

Answer:

(9, -7)

Step-by-step explanation:

$x^2+y^2+18x+14y+105=0\\$

Rearrange like x and y terms next to each other, then complete the square on both.

$(x-9)^2-361 + (y+7)^2 - 49 + 105 = 0$

The negative of the # numbers instead the brackets give you the centre of the circle.

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2 years ago

What’s the percent increase in 5 and 12

katrin2010 [14]

Answer:

A lot

Step-by-step explanation:

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2 years ago

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What value of b with cause the system to have an infinite number of solutions?

Rom4ik [11]

Step-by-step explanation:

-3x+3x-(b÷2)=-3

0-(b÷2)=-3

-(b÷2)=-3

b=-2×-3=+6

=> b=6

5 0

2 years ago

If one atom of carbon weighs 1.99 × 10^−22 g and one atom of hydrogen weighs 1.67 × 10^−27 g, which element weighs more? Explain

garik1379 [7]

Answer:

The atom of carbon weighs more

Step-by-step explanation:

we have

<em>Atom of carbon weighs</em>

$1.99*10^{-22}\ g=1.99*10^{-22}(\frac{10^{5}}{10^{5}})=199,000*10^{-22}(\frac{1}{10^{5}})=199,000*10^{-27}\ g$

<em>Atom of hydrogen weighs</em>

$1.67*10^{-27}\ g$

Compare

$199,000*10^{-27}\ g > 1.67*10^{-27}\ g$

therefore

The atom of carbon weighs more

8 0

2 years ago

What is the measure of m<1 will ensure that the rail is parallel to the bottom of the staircase?

cricket20 [7]

You can observe that angle 1 and angle with 47° are inside a parallelogram.

Consider that the sum of the internal angles of a parallelogram is 360°.

Moreover, consider that the angle at the top right of the parallogram is congruent with the angle of 47°, then, such an angle is if 47°.

Consider that angle down right side is congruent with angle 1, then, they have the same measure.

You can write the previous situation in the following equation:

47 + 47 + ∠1 + ∠1 = 360 simplify like terms

94 + 2∠1 = 360 subtract both sides by 94

2∠1 = 360 - 94

2∠1 = 266 divide by 2 both sides

∠1 = 266/2

∠1 = 133

Hence, the measure of angle 1 is m∠1 = 133°

6 0

5 months ago