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3 years ago

Express (5/3x-2) ^2 as a trinomial in simplest form

Mathematics

1 answer:

Sholpan [36]3 years ago

7 0

Answer:

Step-by-step explanation:

$(\frac{5}{3}x-2)^{2}=(\frac{5}{3}x)^{2}-2*\frac{5x}{3}*2+2^{2}\\\\=\frac{25}{9}x^{2}-\frac{20}{3}x+4\\\\ (a-b)^{2}=a^{2}-2ab+b^{2}$

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Which of the following shows the polynomial below written in descending order?

Juli2301 [7.4K]

Answer:

Step-by-step explanation:

The values must decrease
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3 years ago

Read 2 more answers

The perimeter of a right angled triangle is 56 cm and its hypotenuse is 25 cm. Find the area of triangle.

Daniel [21]

Perimeter = 56
Hypo = 25
So 56-25 = 31 (for two side)
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so area = 1/2 x base x height

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2 years ago

Write down the quadratic equation whose roots are $x = -7$ and $x = 1,$ and the coefficient of $x^2$ is 1. Enter your answer in

pav-90 [236]

<h2>Steps:</h2>

So firstly, since we know that the coefficient of x² is 1, this means that this is our base equation:

y = x² + bx + c

Now, since we know that the roots are -7 and 1, set y = 0 and set x = -7 and 1 and simplify:

$0=(-7)^2+b(-7)+c\\0=49-7b+c\\-49=-7b+c\\\\0=1^2+b(1)+c\\0=1+b+c\\-1=b+c\\\\-49=-7b+c\\-1=b+c$

Now with this, we can set up a system of equations to solve for b and c. For this, I will be using the elimination method. For this, subtract the 2 equations:

$\begin{alignedat}{2}-49&=-7b+c\\-(-1&=b+c)\\-48&=-8b\end{alignedat}$

Now that the c variable has been eliminated we can solve for b. For this, divide both sides by -8 and your first part of your answer is b = 6.

Now that we know the value of b, plug it into either equation to solve for c:

$-49=-7(6)+c\\-49=-42+c\\-7=c\\\\-1=6+c\\-7=c$

<h2>Answer:</h2>

<u>Putting it together, your final answer is x² + 6x - 7 = 0.</u>

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3 years ago

The coordinates R(1, -3), S(3, -1) T(5, -7) form what type of polygon?

Kobotan [32]

<span>The coordinates R(1, -3), S(3, -1) T(5, -7) form a triangle. A triangle is a polygon that has 3 sides and all the angles add up to 180</span>°.

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2 years ago