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3 years ago

5×12÷[-12÷{15+(4-13)}]

Mathematics

1 answer:

Elina [12.6K]3 years ago

8 0

Answer:

=5×12÷[-12÷{15+(-9)}]

=5×12÷[-12÷6]

=5×12÷(-2)

=-30

Step-by-step explanation:

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Someone Please help me answer this question

natka813 [3]

Answer:

∠ QRS = 43°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 angles and equate to 180

4n - 9 + 5n - 18 + 90 = 180, that is

9n + 63 = 180 ( subtract 63 from both sides )

9n = 117 ( divide both sides by 9 )

n = 13

Thus

∠ QRS = 4n - 9 = 4(13) - 9 = 52 - 9 = 43°

∠ RSQ = 4n - 18 = 4(13) - 18 = 65 - 18 = 47°

5 0

3 years ago

2. Which of the following systems of inequalities represents the graph?

Rom4ik [11]

Answer:

Option: D is the correct answer.

D) –2x + y ≥ 4

x + y < 2

Step-by-step explanation:

We are asked to find the linear inequality that represents the following graph.

Clearly from the graph we could observe that one line is dotted and the other is solid line.

i.e. one inequality is strict while the other is a inequality with equality sign.

Dashed line:

It passes through (0,2) and (2,0).

Hence, the equation of line is:

$y-2=\dfrac{0-2}{2-0}\times (x-0)\\\\\y-2=\dfrac{-2}{2}\times x\\\\y-2=-x\\\\x+y=2$

As the shaded region is towards the origin.

Hence, the inequality will be:

x+y<2.

Solid line:

The line passes through (-2,0) and (0,4).

hence equation of line is:

$y-0=\dfrac{4-0}{0-(-2)}\times (x+2)\\\\$

i.e

$y=\dfrac{4}{2}\times (x+2)\\\\y=2\times (x+2)\\\\y=2x+4\\\\-2x+y=4$

Now, as the shaded region is away from the origin hence the inequality which will be used is:

$-2x+y\geq 4$

Hence, option: D is the correct answer.

D. –2x + y ≥ 4

x + y < 2

8 0

3 years ago

Read 2 more answers

1)What are the first five terms of the sequence given by the formula an=4n+1 ?

koban [17]

Answer:1) c. 5,9,13,17,21

2) a. a1=8, an=an-1 -2

Step-by-step explanation: 1) an=4n+1

⇒ a1=4×1+1=5

a2=4×2+1=9

a3=4×3+1=13

a4=4×4+1=17

a5=4×5+1=21

2) clearly a1=8 and then the terms of series are decreasing by 2

so, an=an-1 -2

4 0

3 years ago

Read 2 more answers

Which of the following statements is the best definition of a triptych?

slega [8]

It might be a. A painting on three panels. I am not sure, so don't blame me if I get it wrong.

8 0

3 years ago

Which of the following is true of the discriminant for the graph below?

Sonbull [250]

Answer:

Option C. It is zero

Step-by-step explanation:

The graph represents a quadratic equation

The quadratic equation has the form ⇒a x² + b x + c

The discriminant of the quadratic equation is D = b² - 4ac

From the discriminant of the quadratic equation, we can know the type of roots of the quadratic equation.

If D > 0 ⇒ Two real roots.
If D = 0 ⇒ one real roots
If D < 0 ⇒ Two imaginary roots.

The roots of the quadratic equation are the x-intercepts of the function.

As shown at the figure, the quadratic equation has only one point of intersection with the x-axis

So, the function has only one root ⇒ D = 0

So, the discriminant of the quadratic equation = 0

The answer is option C. It is zero

7 0

3 years ago

5×12÷[-12÷{15+(4-13)}]​

5×12÷[-12÷{15+(4-13)}]