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jeyben [28]
3 years ago
12

Polygon ABCDE has the vertices A(2, 8), B(4, 12), C(10, 12), D(8, 8), and E(6, 6). Polygon MNOPQ has the vertices M(-2, 8), N(-4

, 12), O(-10, 12), P(-8, 8), and Q(-6, 6).
A transformation or sequence of transformations that can be performed on polygon ABCDE to show that it is congruent to polygon MNOPQ is a
The length of the wooden plank is meters. How many -meter pieces can Joe saw from the wooden plank?
Mathematics
1 answer:
Leto [7]3 years ago
9 0
A transformation that can be performed on polygon ABCDE is a reflection over the y-axis.
The image of a polygon by a reflection its mirror image. The reflected image has the same size as the original.
It means that polygon ABCDE is congruent to polygon MNPQ.
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What are the zeros of the quadratic function f(x) = 6x2 – 24x + 1?<br><br> fast please
xxTIMURxx [149]

Answer:      6(x²-4x+4-4)+1=0, 6(x-2)²-24+1=0, 6(x-2)²=23, x-2=±√(23/6), x=2±√(23/6)=2±1.95789, so x=3.95789 or 0.04211 approx. these are the zeros.

step by step explanation:

\boxed{\boxed{\dfrac{12+\sqrt{138}}{6},\ \dfrac{12-\sqrt{138}}{6}}}

Solution-

The quadratic function is,

6x^2-24x + 1

a = 6, b = -24, c = 1

x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}

=\dfrac{-(-24)\pm \sqrt{-24^2-4\cdot 6\cdot 1}}{2\cdot 6}

=\dfrac{24\pm \sqrt{576-24}}{12}

=\dfrac{24\pm \sqrt{552}}{12}

=\dfrac{24\pm 2\sqrt{138}}{12}

=\dfrac{12\pm \sqrt{138}}{6}

=\dfrac{12+\sqrt{138}}{6},\ \dfrac{12-\sqrt{138}}{6}

4 0
3 years ago
Which expression is equivalent to (– 17x3 + 91x – 5) – (9x3 – x2 + 6)? A – 8x3 – x2 + 91x + 1 B – 8x3 + x2 + 91x – 11 C – 26x3 –
Snezhnost [94]

Answer:

c

Step-by-step explanation:

-26x3-x2+91x+1

5 0
3 years ago
What is the domain of the square root function graphed below?
fiasKO [112]

Answer:

The domain is [3,\infty).

Step-by-step explanation:

Domain is the input to a function. The input to a function is marked along the x axis as the x values are the independent values and thus are in the domain of the function.

From the graph, the function starts at x = 3 when the point is (3,1) and then the graph of the moves towards infinity.

So, the domain of the function starts at 3 and move towards infinity.

Hence, the domain include the x values between 3 to infinity including 3.

3 0
3 years ago
Read 2 more answers
leah predicts that an average of 5 passengers will board the bus at each of the 6 stops along her route. the number of passenger
vovikov84 [41]
4.6
To have as result 5 as average that means that all the numbers together must add 25 But it is 23
It USA little more than 4 and a little less than 5. 4x5 = 20. 5x5= 25
The difference is 5 3 is a little more than 2.5 So It makes sense that is 4.6 and no 4.5
7 0
3 years ago
Read 2 more answers
What is the value of t?<br> 3.5(t+6)=7<br><br> A. -4<br> B. -0.25<br> C. 0.25<br> D. 4
Gelneren [198K]
A because when you distribute you get 3.5t + 21 = 7. Then subtract 21 from both sides to get 3.5t = -14. Then divide both sides by 3.5t to get -4. 
3 0
3 years ago
Read 2 more answers
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