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3 years ago

6

What is: −6 − (−4)? i need to know

2 answers:

olga_2 [115]3 years ago

6 0

Answer:

-2

Step-by-step explanation:

Make it simpler: -6 + 4
-6 + 4 = -2

Why:

When you subtract a negative, it automatically becomes a positive. That's why when we were making it simpler above, we canceled out the two minus signs (subtractions sign and negative sign) to make a positive 4. That's why we added a positive instead of subtracting a negative.
A negative plus a positive will get bigger. That's why -6 + 4 = -2. The -2 is larger than -6 when you look at it on a number line. It's closer to 0 and the positives.

nignag [31]3 years ago

5 0

Answer:

-2

Step-by-step explanation:

-6-(-4)

-6+4

-2

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Maths trig functions <br> please help

Nikitich [7]

1. According to the plots, the curves intersect when $x=90^\circ$ and $x=360^\circ$ .

We can confirm this algebraically.

$\sin(x) + 2 = -\cos(x) + 3$

$\sin(x) + \cos(x) = 1$

$\sqrt2 \sin\left(x + 45^\circ\right) = 1$

$\sin\left(x + 45^\circ\right) = \dfrac1{\sqrt2}$

$x + 45^\circ = \sin^{-1}\left(\dfrac1{\sqrt2}\right) + 360^\circ n \text{ or } x + 45^\circ = 180^\circ - \sin^{-1}\left(\dfrac1{\sqrt2}\right) + 360^\circ n$

(where $n$ is an integer)

$x + 45^\circ = 45^\circ + 360^\circ n \text{ or } x + 45^\circ = 135^\circ + 360^\circ n$

$x = 360^\circ n \text{ or } x = 90^\circ + 360^\circ n$

We get the two solutions we found in the interval [0°, 360°] with $n=1$ in the first case, and $n=0$ in the second case.

2. We have $\sin(x)=0$ when $x \in \{0^\circ, \pm 180^\circ, \pm360^\circ, \ldots\}$ . For the given plot domain [0°, 360°], this happens when $180^\circ < x < 360^\circ$ .

3. The domain for both equations is all real numbers in general, but considering the given plot, you could argue the domains would be [0°, 360°].

$\sin(x)$ is bounded between -1 and 1, so $\sin(x) + 2$ is bounded between -1 + 2 = 1 and 1 + 2 = 3, and its range is [1, 3].

Likewise, $-\cos(x)$ is bounded between -1 and 1, so that $-\cos(x)+3$ is bounded between -1 + 3 = 2 and 1 + 3 = 4, so its range would be [2, 4].

3 0

1 year ago

Using f(x) = 8x + 5 and g(x) = 7x - 2, find:f(g(4))

Vinvika [58]

Answer:

f(g(4)) = 213

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right<u> </u>

<u>Algebra I</u>

Functions
Function Notation
Composite Functions

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

f(x) = 8x + 5

g(x) = 7x - 2

<u>Step 2: Find f(g(4))</u>

Substitute in <em>x</em> [Function g(x)]: g(4) = 7(4) - 2
Multiply: g(4) = 28 - 2
Subtract: g(4) = 26
Substitute in function value [Function f(x)]: f(g(4)) = 8(26) + 5
Multiply: f(g(4)) = 208 + 5
Add: f(g(4)) = 213

3 0

3 years ago

Read 2 more answers

Help Please I'm Out Of Time ;(

trasher [3.6K]

Answer:

Total area = 31.5 unit²

Step-by-step explanation:

Assume 1 block = 1 unit²

Divide diagram into 3 part

1. 5 by 5 block square

2. 2 by 2 block triangle(1)

2. 3 by 3 block triangle(2)

Area of square = side × side

Area of square = 5 × 5

Area of square = 25 unit²

Area of triangle(1) = [1/2][base][height]

Area of triangle(1) = [1/2][2][2]

Area of triangle(1) = 2 unit²

Area of triangle(2) = [1/2][base][height]

Area of triangle(2) = [1/2][3][3]

Area of triangle(2) = 4.5 unit²

Total area = Area of square + Area of triangle(1) +Area of triangle(2)

Total area = 25 unit² + 2 unit² + 4.5 unit²

Total area = 31.5 unit²

6 0

3 years ago

September 6 is a Read Book Day.Polina read 5 times as many pages as Marcus read.Together,the read 108 pages.How many pages did e

Gemiola [76]

Answer:

The number of pages that Polina read was 90 and the number of pages that Marcus read was 18

Step-by-step explanation:

Let

x -----> number of pages that Polina read

y ----> number of pages that Marcus read

we know that

x+y=108 ----> equation A

x=5y -----> equation B

substitute equation B in equation A and solve for y

$5y+y=108\\6y=108\\y=18$

Find the value of x

$x=5y -----> x=5(18)=90$

therefore

The number of pages that Polina read was 90 and the number of pages that Marcus read was 18

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2 years ago

What is the slope-intercept form of the equation of the line ? Please answer !!!!

blsea [12.9K]

Y = -3/2x + 4

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3 years ago