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FromTheMoon [43]

3 years ago

5

What is the factored form of 5x2 − 18x − 8? (5x + 4)(x + 2) (5x + 2)(x − 4) (5x + 1)(x + 8) (5x + 1)(x − 8)

2 answers:

olya-2409 [2.1K]3 years ago

6 0

Hello! So, this question is in the form of ax² - bx - c. First thingd first, let's multiply a and c together. c = -8 and a = 5. -8 * 5 is -40. Now, let's find two factors that have a product of 40, but a sum of 18. If you list the factors, you see that 2 and 20 have a product of 40, but 2 - 20 is -18. The factors we will use are -2 and 20.

How to factor it:

For this question, you can use something called a box method and factor it by finding a factor of each column and row. Just make 4 boxes and put 5x² on the top left and -40 on the bottom left box. Put 2x on the top right box and -20x on the bottom left box. Now, factor out for each row and column. The factors should be 5x + 2 for the top part and x - 4 for the side. It should look like (5x + 2)(x - 4). Let's check it. Solve it by using the FOIL method and you get 5x² - 20x + 2x - 8. Combine like terms and you get 5x² - 18x - 8. There. The answer is B: (5x + 2)(x - 4)

Note: The box method may be challenging at first, but it can be really helpful on problems like these.

Taya2010 [7]3 years ago

3 0

Answer:

Always double check first but I think that it is (5x + 2)(x − 4)

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Determine which equation is written in function form:

Mila [183]

<em>Greetings from Brasil... </em>

A 1st degree function can be written in two ways:

F(X) = AX + B

or

Y = AX + B

note that F(X) = Y

So, looking at the alternatives in the question, only Y = 7X/3 - 8 is equivalent to Y = AX + B, where:

A = 7/3

B = - 8

then

$\large{\boldsymbol{\mathbf{Y = \frac{7X}{3}-8\Leftrightarrow Y=AX+B}}}$ <em>a function of the 1st degree</em>

answer:

<h2>Y = (7/3)X - 8</h2>

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2 years ago

The sides of a 30 60 90 triangle are 9 and 18.What is the third length of the triangle

Nimfa-mama [501]

Answer: 15.59 or 9√3

Step-by-step explanation:

We can use the Pythagorean Theorem to calculate the third side.

c² = a² + b² In a 30 60 90 Triangle, the hypotenuse is twice the length of the short leg of the right angle.

c is the hypotenuse. a is the short leg

18² = 9² + b²

324 = 81 + b² Subtract 81 from both sides.

324 - 81 = b² becomes b² = 243 Take the square root of both sides

b = 15.5884 . This can be rounded to 15.59 or 15.6 depending on significant digits or amount of precision required.

The proportions of the sides of the 30 60 90 triangle can also be used:

2² = 1² + b²

4 = 1 + b²

3 = b²

√3 = b

You can always multiply the length of the short leg by √3 to get the length of the side opposite the 60° angle

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2 years ago

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maw [93]

Answer: $\frac{1}{2}$

Step-by-step explanation:

Use the formula for calculate the distance between two points:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Calculate the distance AB. Substitute the coordinates into the formula. Then:

$d_{AB}=\sqrt{(8-0)^2+(8-(-7))^2}$

$d_{AB}=17$

Calculate the distance A'B'. Substitute the coordinates into the formula. Then:

$d_{A'B'}=\sqrt{(2-6)^2+(1-5-(-6))^2}$

$d_{A'B'}=\frac{17}{2}$

As you can see, the distance A'B' is the distance AB multiplied by 1/2. Therefore, this is the scale factor.

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Maurinko [17]

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Step-by-step explanation:

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