Is it possible that the image of a point after a reflection could be the same point as the preimage?

1 answer:

3 0

Yes, it is possible. For example, let's say that point A is (0,4) and there's a reflection over the y-axis, then point A would still be (0,4).

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2. Write an equation of a line in slope-intercept form

Alona [7]

Answer:

$y = -3x + 6$

Step-by-step explanation:

$m = -3\\(4,-6)\\x = 4\\y = -6\\m = \frac{y-y_1}{x-x_1} \\-3 = \frac{y -(-6)}{x-4} \\-3 =\frac{y+6}{x-4} \\Cross-Multiply\\-3(x-4) = y+6\\-3x+12=y+6\\-3x+12-6=y\\-3x+6 = y\\y =-3x+6$

7 0

3 years ago

Marsha deposited $6,500 into a savings account 3 years ago. The simple interest rate is 2%. How much money did earn in intere

Citrus2011 [14]

Answer:

i think its $585 im soooo sory if its wrong

Step-by-step explanation:

8 0

3 years ago

What is the domain and range of the square root of x+3-1?

Nata [24]

Answer:

$\large\boxed{\text{The domain:}\ x\geq-3\to x\in[-3,\ \infty)}\\\boxed{\text{The range:}\ y\geq-1\to y\in[-1,\ \infty)}$

Step-by-step explanation:

$y=\sqrt{x+3}-1\\\\The\ domain:\\\\x+3\geq0\qquad\text{subtract 3 from both sides}\\\\x\geq-3\to x\in[-3,\ \infty)\\\\The\ range:\\\\\sqrt{x+3}\geq0\qquad\text{subtract 1 from both sides}\\\\\sqrt{x+3}-1\geq-1\\\\y\geq-1\to y\in[-1,\ \infty)$

4 0

3 years ago

What size does the radius of a sphere need to be for its volume to be larger than its surface area? HINT! It is less than 10. HI

Lera25 [3.4K]

We know that
volume of a sphere=(4/3)*pi*r³----> (r/3)*(4*pi*r²)
and
surface area of sphere=4*pi*r²
so
the volume of a sphere=(r/3)*surface area of sphere
therefore
if r=3
volume of a sphere=(3/3)*surface area of sphere
volume of a sphere=surface area of sphere

if r> 3
the term (r/3) is > 0
so
volume of a sphere > surface area of sphere

if r<3
the term (r/3) is < 0
so
volume of a sphere < surface area of sphere

examples
1) for radius r=3 units
volume of a sphere=(4/3)*pi*3³----> 113.04 unit³
surface area=4*pi*3²----> 113.04 units²
volume is equal to surface area

2) for radius r=10 units
volume of a sphere=(4/3)*pi*10³----> 4186.67 unit³
surface area=4*pi*10²----> 1256 units²
volume is > surface area

3) for radius r=2 units
volume of a sphere=(4/3)*pi*2³----> 33.49 unit³
surface area=4*pi*2²----> 50.24 units²
volume is < surface area

7 0

3 years ago

Add or subtract the following mixed numbers using the first method. (Add the whole numbers; add the fractions; combine the parts

Andrew [12]

Answer:

6 19/24

Step-by-step explanation:

First, we make the denomanators the same

2 16/24 + 4 3/24

Next, we add

6 19/24

We can't symplify so that's the answer

7 0

3 years ago