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OLga [1]
3 years ago
7

Triangle PQR is transformed to similar triangle P′Q′R′:

Mathematics
2 answers:
Harrizon [31]3 years ago
8 0

Answer:The scale factor of the dilation is 1/2.

Step-by-step explanation:

I took the test

Arturiano [62]3 years ago
4 0
Answer: The scale factor of the dilation is 1/3.

In a dilation, we are multiplying all the points by a constant to get a set of new points. The shapes will be similar.

In this case, we are moving from Point P at (-6, 6) to Point P' at (-2, 3).

So how does the point change. Let's write and solve the following equations.

-6k = -2   or 6k = 2
k = 1/3      k = 1/3

In both cases, the point was multiplied by 1/3. This is true of all the points.
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Save and
Darya [45]

Answer: 6/5

Step-by-step explanation:

7 0
2 years ago
The statement "two points determine a line" is an example of a __________.
VLD [36.1K]
Postulate, because we just assume that it is a true fact.
7 0
3 years ago
Consider the following functions.G(x) = 4x2; f(x) = 8x(a)
noname [10]

Answer:

(a) B. G(x) is an antiderivative of f(x) because G'(x) = f(x) for all x.

(b) Every function of the form 4x^2+C is an antiderivative of 8x

Step-by-step explanation:

A function <em>F </em>is an antiderivative of the function <em>f</em> if

F'(x)=f(x)

for all x in the domain of <em>f.</em>

(a) If f(x) = 8x, then G(x)=4x^2 is an antiderivative of <em>f </em>because

G'(x)=8x=f(x)

Therefore, G(x) is an antiderivative of f(x) because G'(x) = f(x) for all x.

Let F be an antiderivative of f. Then, for each constant C, the function F(x) + C is also an antiderivative of <em>f</em>.

(b) Because

\frac{d}{dx}(4x^2)=8x

then G(x)=4x^2 is an antiderivative of f(x) = 8x. Therefore, every antiderivative of 8x is of the form 4x^2+C for some constant C, and every function of the form 4x^2+C is an antiderivative of 8x.

8 0
3 years ago
Someone help me pls <br><br>47 as the sum of ______
Elanso [62]

9514 1404 393

Answer:

  (a) 6² +3² +1² +1² = 47

  (b) 5² +4² +2² +1² +1² = 47

  (c) 3³ +4² +2² = 47

Step-by-step explanation:

It can work reasonably well to start with the largest square less than the target number, repeating that approach for the remaining differences. When more squares than necessary are asked for, then the first square chosen may need to be the square of a number 1 less than the largest possible.

The approach where a cube is required can work the same way.

(a) floor(√47) = 6; floor(√(47 -6^2)) = 3; floor(√(47 -45)) = 1; floor(√(47-46)) = 1

__

(b) floor(√47 -1) = 5; floor(√(47-25)) = 4; ...

__

(c) floor(∛47) = 3; floor(√(47 -27)) = 4; floor(√(47 -43)) = 2

3 0
3 years ago
Given: -8(x+1)=-5(x+10) prove x=14
Doss [256]

Answer:

isolate the variable by dividing each side by factors that dont contain the variable

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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