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3 years ago

14. What is the reflection image of (5, -3) across the line y = -x? (3, -5) (3, 5) (-3, 5) (-3, -5)

Mathematics

1 answer:

Nata [24]3 years ago

5 0

Answer:

The reflection image of (5, -3) across the line y = -x is (3, -5).

Step-by-step explanation:

You can find the reflection equation by putting the value of x and y in the line given one by one.

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Does someone mind helping me with this problem? Thank you!

Jet001 [13]

Answer:

875 ft²

Step-by-step explanation:

Finding area of similar rectangles:

Scale factor = EF : AB

= 25 : 5

= 5 : 1

$\sf \dfrac{Area \ of \ bigger \ rectangle}{Area \ of \ smaller \ rectangle}= (Scale \ factor)^2$

$\dfrac{Area \ of \ bigger \ rectangle}{35} =\left(\dfrac{5}{1}\right)^2$

$\text{Area of bigger rectangle = $\dfrac{25}{1}*35$}$

Area or rectangle EFGH = 875 ft²

4 0

1 year ago

Read 2 more answers

Show that 3 · 4^n + 51 is divisible by 3 and 9 for all positive integers n.

-BARSIC- [3]

Answer:

Step-by-step explanation:

Hello, please consider the following.

$3\cdot 4^n+51=3\cdot 4^n+3\cdot 17=3(4^n+17)$

So this is divisible by 3.

Now, to prove that this is divisible by 9 = 3*3 we need to prove that

$4^n+17$ is divisible by 3. We will prove it by induction.

Step 1 - for n = 1

4+17=21= 3*7 this is true

Step 2 - we assume this is true for k so $4^k+17$ is divisible by 3

and we check what happens for k+1

$4^{k+1}+17=4\cdot 4^k+17=3\cdot 4^k + 4^k+17$

$3\cdot 4^k$ is divisible by 3 and

$4^k+17$ is divisible by 3, by induction hypothesis

So, the sum is divisible by 3.

Step 3 - Conclusion

We just prove that $4^n+17$ is divisible by 3 for all positive integers n.

Thanks

4 0

3 years ago

People get energy from the food they eat. This energy is measured in calories. When you exercise, you use up or burn calories. T

seropon [69]

Answer:

360

Step-by-step explanation:

There are 60 minutes in 1 hour, so 2 hours = 120 minutes.

Multiply 120 by 3 and you get 360.

They would burn 360 calories doing 2 hours of bowling.

3 0

2 years ago

look at the figure shown below which step should be used to prove that point a is equidistant from points c and b

JulijaS [17]

D
is certainly wrong. You could extend the length of AD as far as you want and the two triangles (ABD and ACD) would still be congruent.

C
is wrong as well. The triangles might be similar, but they are more. They are congruent.

B
You don't have to prove that. It is given on the way the diagram is marked.

A
A is your answer. The two triangles are congruent by SAS

3 0

2 years ago

What method would you choose to solve the equation? 4x^2-48=0

melamori03 [73]

I'd definitely factor 4x^2-48 first. Factors are (4)(x^2-12).

This factors further: (4)* (x-2sqrt(3) ) * (x+2sqrt(3) )

6 0

2 years ago