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2 years ago

X+3=-x-3 what does x equal

Mathematics

2 answers:

lana [24]2 years ago

7 0

Answer:

x=-3

Step-by-step explanation:

X+3=-x-3

(add x to x)

2x+3=-3

(subtract 3 from -3)

2x=-6

(divide -6 by 2)

x=-3

wlad13 [49]2 years ago

6 0

Answer:

x=-3

Step-by-step explanation:

Place like terms on the same side.

Keep in mind when a term is moved from its original position, it changes sign.

x+x=-3-3

2x=-6

x=-3

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Quadrilateral ABDE is a rectangle. DE = 4 in. and BD = 6 in. If the rectangle is rotated about a line through CF, cylinder Y is

postnew [5]

Answer:

1 in. is the answer.

Step-by-step explanation:

Solution: A Rectangle ABDE in which DE=4 inches and BD= 6 inches

There are two kinds of rotations

1. one along the Breadth, side having length 6 inches,i.e rotated along line GH, Cylinder Z is created.

Radius of cylinder Z=6/2= 3 inches

2. Second along the Length, Side having length 4 inches,i.e rotated about a line CF, cylinder Y is created.

Radius of cylinder Y= 4/2= 2 inches

Difference in Radii= Radius of cylinder Z - Radius of cylinder Y

= 3 - 2= 1 inches

Diagram shown below of both the cases:

7 0

3 years ago

Read 2 more answers

The relationship between the slopes of two lines that are parallel is _____________.

a_sh-v [17]

They are the same slope

they are negative inversees (they multily to get -1)

2

-1/2

use the square viewer (on TI)

The relationship between the slopes of two lines that are parallel is they are the same. The relationship between the slopes of two lines that are perpendicular is they are negative inverses of each other (they multiply to -1).
A line that is parallel to a line whose slope is 2 has slope 2.
A line that is perpendicular to a line whose slope is 2 has slope -1/2.

What must be done to make the graphs of two perpendicular lines appear to intersect at right angles when they are graphed using a graphing utility?

8 0

3 years ago

Read 2 more answers

(-4, -7) and (-6, 9) in slope-intercept form. Show work

BigorU [14]

Answer:

Equation of line in slope-intercept form is: y = -8x-39

Step-by-step explanation:

Given points are:

(-4, -7) and (-6, 9)

The slope-intercept form is given by the equation

$y = mx+b$

Here m is the slope of the line and b is the y-intercept.

m is found using the formula

$m = \frac{y_2-y_1}{x_2-x_1}$

Here

(x1,y1) = (-4-7)

(x2,y2) = (-6,9)

Putting the values in the formula

$m = \frac{9+7}{-6+4} = \frac{16}{-2} = -8$

Putting slope in general equation

$y = -8x+b$

Putting (-6,9) in the equation

$9 = -8(-6)+b\\9 = 48+b\\b = 9-48\\b = -39$

Putting the value of b we get

$y = -8x-39$

Hence,

Equation of line in slope-intercept form is: y = -8x-39

5 0

3 years ago

A candle is 9 inches long. Ronnie lights the candle and records the height of the candle, y inches, for x hours.

DochEvi [55]

In the future, please post the full problem with all included instructions. After doing a quick internet search, I found your problem listed somewhere else. It mentions two parts (a) and (b)

Part (a) asked for the equation of the line in y = mx+b form

That would be y = -2x+9

This is because each time y goes down by 2, x goes up by 1. We have slope = rise/run = -2/1 = -2. This indicates that the height of the candle decreases by 2 inches per hour. The slope represents the rate of change.

The initial height of the candle is the y intercept b value. So we have m = -2 and b = 9 lead us from y = mx+b to y = -2x+9

----------------------------------------------------------------

Part (b) then asks you to graph the equation. Because this is a linear equation, it produces a straight line. We only need 2 points at minimum to graph any line. Let's plot (0,9) and (1,7) on the same xy grid. These two points are the first two rows of the table. Plot those two points and draw a straight line through them. The graph is below

7 0

2 years ago

2. What is the effective annual rate of an investment that pays 6% for 5 years, compounded semiannually?

Ede4ka [16]

Answer:

effective annual rate is 6.16 %

Step-by-step explanation:

given data

rate = 6 % = 0.06

time 5 year = 10 semi annually

to find out

effective annual rate

solution

we know formula for annual effective rate of interest is

rate of interest = $(1+ r/n)^{n}$ -1

put here all value

rate of interest = $(1+ 0.06/10)^{10}$ -1

rate of interest = 0.061646

so effective annual rate is 6.16 %

8 0

3 years ago