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jonny [76]
3 years ago
8

Which is the completely factored form of 3xsquared -12x-15?

Mathematics
1 answer:
tekilochka [14]3 years ago
7 0

Answer:

3(x - 5)(x + 1).

Step-by-step explanation:

3x^2 - 12x - 15

Dividing through by 3:

= 3(x^2 - 4x - 5)

We need 2 numbers whose sum is -4 and whose product = -5. That is -5 and +1 , so the factors are:

3(x - 5)(x + 1).

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Suppose ABC is a right triangle with sides​ a, b, and c and right angle at C. Find the unknown side length using the Pythagorean
Leno4ka [110]

Answer:

a = \sqrt{7}

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.:

<em>Suppose ABC is a right triangle with sides​ a, b, and c and right angle at C. Find the unknown side length using the Pythagorean theorem and then find the values of the six trigonometric functions for angle B. when b=3 and c=4</em>.

My answer:

We will Pythagoras theorem, which states that the sum of squares of two legs of a right triangle is equal to the square of the hypotenuse of right triangle. Because the question says that ABC is a right triangle.

a^2+b^2=c^2

Given that: b=3 and c=4

a^2+3^2=4^2a^2+9=16a^2+9-9=16-9a^2=7

so a = \sqrt{7}

We know that tangent relates opposite side of a right triangle with adjacent side.

\text{tan}(B)=\frac{a}{b}\\\text{tan}(B)=\frac{\sqrt{7}}{3}

Please have a look at the attached photos.

3 0
3 years ago
What is the value of x?
eimsori [14]

Answer:

16.1

Step-by-step explanation:

7 0
3 years ago
Write an exponential function of the form f(x) = ab* whose graph passes through the
Andrews [41]

Answer:

Step-by-step explanation:

let f(x)=ab^x

when x=1,f(x)=6

6=ab

when x=2,f(x)=18

18=ab^2

divide

\frac{ab^2}{ab}=\frac{18}{6}\\b=3\\ab=6\\3a=6\\a=2\\f(x)=2(3)^x

4 0
3 years ago
Write an algebraic expression to model the unknown number problem.
charle [14.2K]

Answer:

As Boo said in the comments the answer is A, C, D, and E.

Step-by-step explanation:

8 0
2 years ago
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3/4 is equal to how many 84ths? Explain please!
frutty [35]
It is just asking for you to convert 3/4 in 84ths. This means it wants the denominator to be 84. So multiply both the top and bottom by what gets you 84. In this case, multiply both by 21. So 3/4•(21/21)=63/84
6 0
3 years ago
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