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3 years ago

Why do two negatives equal a positive when adding?

1 answer:

4 0

Two negatives do not equal a positive when adding. If you're in debt and you add more debt, does that get you out of debt?

Two negatives do equal a positive when you're multiplying them together though. This makes sense if you imagine multiplication as squishing or stretching a particular number on the number line. For example, imagine multiplying 2 x 1/2 as squishing the number 2 two times closer to 0. When you multiply 2 by a negative number, say, -1, you squish it so far down that you flip it to the negative side of the number line, bringing it to -2. You can imagine a similar thing happening if you multiply a number like -4 by -2. You squish -4 down to zero, and then flip it to the positive side and stretch it by a factor of 2, bringing it to 8.

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Can someone please help me on this one problem?

UNO [17]

The angles of a quadrilateral sum to 360 degrees. A pentagon's exterior angles are 108 degrees. A hexagon's exterior angles are 60 degrees. So, <BAL AND <KLA are 60+108 or 168. 168 + 168 = 336. 360-336 = 24. If you write m<ABK as x, you can write the sum of <ABK and <LKB as 2x. If 2x=24, x=12. So, m<ABK is 12 degrees.

4 0

3 years ago

What is an equation of the line that passes through the points (0, -4) and (-4, 6)?

olganol [36]

Answer:

The equation of the line is.

$y=-\frac{5}{2}x-4$

Step-by-step explanation:

Given:

The given points are (0, -4) and (-4, 6)

The equation of the line passing through the points $(x_{1},y_{1})$ and $(x_{2},y_{2})$ is.

$\frac{x-x_{1}}{x_{2}-x_{1}}=\frac{y-y_{1}}{y_{2}-y_{1}}$

Thus, the equation of the line that passes through the points (0, -4) and (-4, 6) is

$\frac{x-0}{(-4)-0}=\frac{y-(-4)}{6-(-4)}$

$\frac{x}{-4}=\frac{y+4}{6+4}$

$-\frac{x}{4}=\frac{y+4}{10}$

$-\frac{10x}{4}=y+4$

$-10x=4(y+4)$

$-10x=4y+16$

$4y=-10x-16$

The above equation is divided by 2 both sides.

$2y=-5x-8$

$y=-\frac{5}{2}x-4$

Therefore, the equation of the line that passes through the points (0, -4) and (-4, 6) is $y=-\frac{5}{2}x-4$

8 0

3 years ago

Draw and label a picture to show how knowing 7+7 helps you find 7+8

madreJ [45]

Lets say we have 7 items, and we add 7 more.
Then, in the next situation, we have 7 items and we add 8 more. Now we know that 8 = 7 + 1, so we are actually performing 7 + 7 +1. Our diagram already shows us the value of 7 + 7 so we just add 1.
The items can be represented by circles, triangles etc

3 0

4 years ago

If you apply the changes below to the absolute value parent function, f(x) = [xl,

Rus_ich [418]

Answer:

B: g(x) = Ix - 4I + 6

Step-by-step explanation:

First, let's describe in a general way the transformations.

Vertical shift.

For a function f(x), a vertical shift of N units is written as:

g(x) = f(x) + N

If N is positive, the shift is upwards

If N is negative, the shift is downwards.

Horizontal shift.

For a function f(x), a horizontal shift of N units is written as:

g(x) = f(x + N)

If N is positive, the shift is to the left.

If N is negative, the shift is to the right.

Now we have the function:

f(x) = IxI

And we first have a shift of 4 units to the right, this is written as:

g(x) = f(x - 4)

Now we have a shift of 6 units up

This is written as:

g(x) = f(x - 4) + 6

Now, knowing that f(x) = IxI, we can write

g(x) = Ix - 4I + 6

Option B.

7 0

3 years ago

Ok, 2nd time I asked this...

viktelen [127]

Answer: a) (5x - 1) (x + 6)

Explanation:
5x² + 29x − 6 = (5x - 1) (x + 6)

5x \ / -1 -x
\/
/\
x / \ 6 30x
--------------------------------
5x² -6 29x
-------------------------------

7 0

3 years ago