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2 years ago

A right triangle has one angle that measures 3x+ 6 and one angle that measure 5x -20. What are the measures of each angle?

Mathematics

1 answer:

Elden [556K]2 years ago

3 0

Answer: just use photomath

Step-by-step explanation:

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What is the rule for the function shown in the table?

shtirl [24]

Each of the input changes is 1 unit.
Each of the output changes is 3 units, so the function is linear with a slope of 3.

The output is -2 when the input is 0, so the function is
.. y = 3x -2

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3 years ago

Express 20 hours at the percentage of 10 days pllzzzz

Oliga [24]

Step-by-step explanation:

a day =24hrs so 10 days=240hrs

20hrs/240hrs ×100%to get the percentage

20/240×100%=8 1/3

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2 years ago

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Which value for x makes the sentence true?

Kipish [7]

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2 years ago

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2x^3-x^2+x-2 factorize

bekas [8.4K]

Answer:

$(x-1)(2x^2+x+2)$

Step-by-step explanation:

Factorize:

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

<u>Factor Theorem</u>

If f(a) = 0 for a polynomial then (x - a) is a factor of the polynomial f(x).

Substitute x = 1 into the function:

$\implies f(1)=2(1)^3-1^2+1-2=0$

Therefore, (x - 1) is a factor.

As the polynomial is cubic:

$\implies f(x)=(x-1)(ax^2+bx+c)$

Expanding the brackets:

$\implies f(x)=ax^3+bx^2+cx-ax^2-bx-c$

$\implies f(x)=ax^3+(b-a)x^2+(c-b)x-c$

Comparing coefficients with the original polynomial:

$\implies ax^3=2x^3 \implies a=2$

$\implies (b-a)x^2=-x^2 \implies b-2=-1 \implies b=1$

$\implies -c=-2 \implies c=2$

Therefore:

$\implies f(x)=(x-1)(2x^2+x+2)$

Cannot be factored any further.

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2 years ago

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Solution set of 3x - ( 2x + 8 )= -6

Hunter-Best [27]

3x - (2x + 8) = -6
3x -2x - 8 = -6
x - 8 = -6
x - 8 + 8 = -6 + 8
x = 2

6 0

3 years ago