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Art [367]
3 years ago
10

What steps would you take to determine if these figures are similar? 

Mathematics
2 answers:
Alla [95]3 years ago
4 0
What figures are there
Dimas [21]3 years ago
3 0

Answer:the answers are B.Multiply the vertices of polygon ABCD by 1/2 and E.Reflect the intermediate image

Step-by-step explanation:

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Find the solution set of the inequality:<br><br> 8x + 2 &gt; 34
Leni [432]
8x + 2 > 34
Subtract 2 from both sides to start isolating x
8x > 32
Divide both sides by 8 to isolate x
x > 4
x is greater than 4
3 0
3 years ago
Let II be the tangent plane to the graph of f(x, y) = 8 – 2x^2 – 3y^2 at the point (1, 2,-6). Let S, x² + y^2 + z = 4 be another
stealth61 [152]

Let F(x,y,z)=f(x,y)-z. The tangent plane to f(x,y) at (1, 2, -6) has equation

\nabla F(1,2,-6)\cdot(x-1,y-2,z+6)=0

We have

\nabla F(x,y,z)=(-4x,-6y,-1)\implies\nabla F(1,2,-6)=(-4,-12,-1)

Then the tangent plane has equation

(-4,-12,-1)\cdot(x-1,y-2,z+6)=0\implies -4(x-1)-12(y-2)-(z+6)=0\implies 4x+12y+z=22

Let g(x,y)=4-x^2-y^2, and G(x,y,z)=g(x,y)-z. The tangent plane to S at a point (a,b,c) is

\nabla G(a,b,c)\cdot(x-a,y-b,z-c)=0

We have

\nabla G(x,y,z)=(-2x,-2y,-1)\implies \nabla G(a,b,c)=(-2a,-2b,-1)

so that this plane has equation

(-2a,-2b,-1)\cdot(x-a,y-b,z-c)=0\implies2ax+2by+z=2a^2+2b^2+c

In order for this plane to be parallel to the previous plane, we need to have

\begin{cases}2a=4\\2b=12\end{cases}\implies a=2,b=6\implies g(a,b)=c=-36

so the point we're looking for is (2, 6, -36).

6 0
3 years ago
If p is the hypothesis of a conditional statement and q is the conclusion, which is represented by ~p → ~q?
AfilCa [17]

Conditional statement is a statement with a hypotesis and a conclusion:

If \text{ \underline{ hypothesis } } p , then \text{ \underline { conclusion } } q or mathematically p\rightarrow q .

Converse statement of p\rightarrow q is statement q\rightarrow p .

If you negate (that means stick a "not" in front of) both the hypothesis and conclusion, you get the inverse: \neg p\rightarrow \neg q.

Finally, if you negate everything and flip p and q (taking the inverse of the converse) then you get the contrapositive: \neg q\rightarrow \neg p.

Then,

Answer: the correct choice is D (the inverse of the original conditional statement).

8 0
3 years ago
Read 2 more answers
How many solutions does the equation 3x − 7 = 4 + 6 + 4x have? (5 points) Two None Infinitely many One
statuscvo [17]

Answer:

There is one solution.

x = -17

<em>Proof and step-by-step explanation:</em>

Step 1: <em>Add the numbers</em>

3x-7 = 4+6+4x

3x-7 = 10+4x

Step 2: <em>Move</em><em> </em><em>terms</em>

3x-7 = 10+4x

3x-4x = 10+7

Step 3: <em>Collect the like terms and calculate the sum</em>

3x-4x = 10+7

-x = 17

Step 4: <em>Change the sign by multiplying both sides by -1</em>

-x (×-1) = 17 (×-1)

x = -17

I hope this helped ! :)

7 0
3 years ago
Slope form graph khan
sattari [20]
Slope to the a up 4, then to the right once, skip a spot, return, then resort home!


Happy Friday everyone!!
6 0
3 years ago
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