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Darina [25.2K]
2 years ago
10

Given: AB=CB, CD=ED, Prove: AB // DE

Mathematics
1 answer:
Fiesta28 [93]2 years ago
3 0

Hey there mate ;)

The answer for proving your question is sent as image. Please check.

Thank you !

<em>A</em><em>n</em><em>s</em><em>w</em><em>e</em><em>r</em><em>e</em><em>d</em><em> </em><em>b</em><em>y</em><em> </em><em>B</em><em>e</em><em>n</em><em>j</em><em>e</em><em>m</em><em>i</em><em>n</em>

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Using the Factor Theorem, which of the polynomial functions has the zeros 2, radical 3 , and negative radical 3 ? f (x) = x3 – 2
butalik [34]

To solve this question, we use the factor theorem, and using it, the polynomial function is:

f(x) = x^3 - 2x^2 - 3x + 6

------------------------------

The factor theorem means that if k is a root of f(x), f(k) = 0.

Thus, applying the factor theorem for this question, we have to choose the function for which: f(2) = 0, f(\sqrt{3}) = 0, f(-\sqrt{3}) = 0

------------------------------

Function 1:

f(x) = x^3 - 2x^2 - 3x + 6

Testing the values:

f(2) = 2^3 - 2(2)^2 - 3(2) + 6 = 8 - 8 - 6 + 6 = 0

f(\sqrt{3}) = \sqrt{3^3} - 2(\sqrt{3})^2 - 3\sqrt{3} + 6 = \sqrt{3^2\times3} - 6 - 3\sqrt{3} + 6 = 3\sqrt{3} - 3\sqrt{3} = 0

f(-\sqrt{3}) = -\sqrt{3^3} - 2(-\sqrt{3})^2 - 3(-\sqrt{3}) + 6 = -\sqrt{3^2\times3} - 6 + 3\sqrt{3} + 6 = -3\sqrt{3} + 3\sqrt{3} = 0

Thus, since all three conditions are satisfied, f(x) = x^3 - 2x^2 - 3x + 6 is the polynomial function.

A similar question is given at brainly.com/question/11378552

5 0
3 years ago
Evaluate the expression for<br> a = 26, b = 10, c = 9, d = 19:<br> a+b-c-d
Anettt [7]

Answer:

8

Step-by-step explanation:

a+b-c-d

lets substitute the values of a, b, c and d in the equation:

26+10-9-19

so we have:

8

3 0
3 years ago
A bus is travelli ng with the velo ci ty of 60 km/hr . Pressin g the bra kes sud denly, it is reta rde d to 0.05 m/s2 . How fa r
solong [7]

Step-by-step explanation:

Initial velocity(u) = 60 km/hr = 50/3 m/s

final velocity(v)= 0 (stops at rest)

acceleration(a) = -0.05 m/s²

display (s)=?

v²-u²=2as

0²- (50/3)= 2(-0.05)s

2500/9= 0.1s

s= 25000/9 m

5 0
2 years ago
How many 3/4s are in 3 2/4
MArishka [77]

Answer:

the answer is 3

Step-by-step explanation:

First change the whole number (3) to quaters or fraction

3x \frac{4}{4} = \frac{12}{4}

Now, add

\frac{2}{4} + \frac{12}{4} = \frac{14}{4}   Since, we have the same common denominator

now divide

14÷4 =3.5 = 3\frac{2}{4}

Therefore, there are 3 of 3/4 with a remainder of  \frac{2}{4} in 3 \frac{2}{4}.

7 0
2 years ago
What is the sales tax on a jacket at 750 of the sales tax rate is 7%
SIZIF [17.4K]
Sales tax is $52.50
6 0
3 years ago
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