What are the new coordinates of the figure above if it is dilated by a scale factor of , with the origin as the center of dilation?

Answers

Answer 1

Answer:

Answer:

could you show a picture and repost thx

Step-by-step explanation:

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When are the expressions 5(p + 4) and 5p + 20 equivalent?

Answers

Answer:

yes they are equal

Step-by-step explanation:

5(p+4) when it is distributed it equals 5p+20 which equals to 5p+20

Final answer:

The expressions 5(p + 4) and 5p + 20 are equivalent at all times due to the distributive property of multiplication over addition in mathematics. These two expressions are the same, and their equivalence doesn't depend on the value of 'p'.

Explanation:

The expressions 5(p + 4) and 5p + 20 are equivalent at all times. This is due to the distributive property of multiplication over addition in mathematics.

This means that when you have an expression like 5(p + 4), you multiply each quantity inside the parentheses by the number outside, which gives you 5p + 20.

So these two expressions are actually the same and are equivalent no matter what the value of p is.

Learn more about Distributive Property here:

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Find an equation of the sphere with center (-3, 2 , 5) and radius 4. What is the intersection of this sphere with the yz-plane.

Answers

Answer:

The equation of the sphere with center (-3, 2 , 5) and radius 4 is $(x+3)^(2) +(y-2)^(2) + (z-5)^(2) = 16$

The intersection of the sphere with the yz- plane gave the equation $(y-2)^(2) + (z-5)^(2) = 7$ which is a 2D- circle with center (0,2,5) and radius $√(7)$ .

Step-by-step explanation:

The equation of a sphere of radius r, with center (a,b,c) is given by

$(x-a)^(2) +(y-b)^(2) + (z-c)^(2) = r^(2)$

where, $x,$ $y,$ and $z$ are the coordinates of the points on the surface of the sphere.

Hence, the equation of the sphere with center, (-3, 2 , 5) and radius 4 becomes

$(x-a)^(2) +(y-b)^(2) + (z-c)^(2) = r^(2)$

$(x-(-3))^(2) +(y-(2))^(2) + (z-(5))^(2) = 4^(2)$

Then,

$(x+3)^(2) +(y-2)^(2) + (z-5)^(2) = 16$

This is the equation of the sphere with center (-3, 2 , 5) and radius 4,

Now, for the intersection of this sphere with the yz- plane,

The $yz -$ plane is where $x = 0$ , then we set $x = 0$

Them the equation $(x+3)^(2) +(y-2)^(2) + (z-5)^(2) = 16$ becomes

$(0+3)^(2) +(y-2)^(2) + (z-5)^(2) = 16$

$(3)^(2) +(y-2)^(2) + (z-5)^(2) = 16\n9 +(y-2)^(2) + (z-5)^(2) = 16\n(y-2)^(2) + (z-5)^(2) = 16 - 9\n(y-2)^(2) + (z-5)^(2) = 7$

This equation is the equation of a 2D- circle with center (0,2,5) and radius $√(7)$

This is the part of the sphere that intersects with the yz-plane.

30 points!!!!!A lawn sprinkler spins in a circle. The sprinkler covers a radius of 4 feet. Which choice is the closest to the area of lawn that the sprinkler can cover?

Answers

The area is about 50.27
Aarea of a circle equals pie r squared so 4 x 4= 16 and 16 x pie =50.27

An element with a mass of 570 grams decays by 26.7% per minute. To the nearest minute, how long will it be until there are 40 grams of the element remaining?

Answers

Answer: x ≈ 9

Step-by-step explanation:

Near the end of the picture 8.553364=x

x ≈ 9

F3 + 11g - 4h when f=3 g=2 h=7

Answers

Answer:

Step-by-step explanation:

3 x 3 = 9

11 x 2 = 22

4 x 7 = 28

9 + 22 = 31

31 - 28 = 3

hope this helps :)

Which graph represents the compound inequality

Answers

Answer: C

Step-by-step explanation:

When looking at compound inequalities, the inequalities are very important. You can see that on the graphs, there are some points that have a white open circle and others have blue, closed circle. The 2 different circles tells you the inequality itself. If you see ≤ or ≥, it is a closed circle. This is a closed circle because it is less than/greater than or equal to. That means it is also equal to the point, therefore it is a closed circle. If you see < or >, it is an open circle. That means it is not closed because it is greater than. It is not equal to on that specific point.

Now that we have covered the basics, we can start to eliminate. our first condition is n<-2. Above, we have established that < is an open circle. We can eliminate A and B because the points on -2 are both closed circles.

That leaves us with C and D. Since C and D both follow the points, let's look carefully at what the inequality tells us. n<-2 means n is less than -2. This means the arros should be pointing in the left side. As you go more towards the negative, the smaller the number becomes.

We can eliminate D because at -2, the numbers are going towards the right, not the left.

Therefore, our answer is C.

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