A set of symbols that expresses a mathematical rule is called a ___________.

[tex]=======================================[/tex]

parallel lines have the same slope; it means that if we have a line with a slope of -8, then the line parallel to the given line has the same slope (-8)

now, we are also given a point that the line passes through:

(9, 7)

we can use point-slope form:

[tex]\pmb{y-y1=m(x-x1)}[/tex]

[tex]\pmb{y-7=-8(x-9)}[/tex] (point-slope form)

now, convert to slope-intercept form, if necessary:

[tex]\pmb{y-7=-8x+72}[/tex]

[tex]\pmb{y=-8x+72+7}[/tex]

[tex]\pmb{y=-8x+79}[/tex]

[tex]================================[/tex]

Hope everything is clear; if you need any more explanation, kindly let me know.

Answer:

7 x 6 = 42, 42 divided by 2 (x 1/2) = 21 meters

Step-by-step explanation:

Formula of area of a triangle:

BH x 1/2

base x height x 1/2(basically just dividing by 2)

Answer:21 m2

Step-by-step explanation:

h= 6

b= 7

6x7= 42

42 divided by 2 = 21

Area= 21m

Answer:

b

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer: D

Step-by-step explanation:

A function is a relation where each input value is assigned to only one output value.

The domain of a function is the set of all input values, or x-values, for which the function is defined.

The range of a function is the set of all output values, or y-values, for which the function is defined.

Which A, B, & C are wrong. So D, is the one that makes the most sense.

Answer:

B is correct option

Step-by-step explanation:

The graph of an even function is symmetric about the y-axis. The graph of an odd function is symmetric about the x-axis. It is possible that the use of these two words originated with the observation that the graph of a polynomial function in which all variables are to an even power is symmetric about the y -axis.

Answer:

1, 3, and 4 would be correct answers

Step-by-step explanation:

1.) -x - 2x - 3y - 2y + 1 + 1 = -3x -5y + 2

2.) -3x + 2y + 3y + 2 = -3x + 5y + 2

3.) -3x - y - y - y - y - y + 2 = -3x - 5y + 2

4.) -x - x - x - y - y - y - y - y + 1 + 1 = -3x - 5y + 2

5.) x + x + x + y + y + y + y + y + 1 + 1 = 3x + 5y + 2

Hope this helps!

This is where the diagonal line crosses the vertical y axis.

The y intercept always occurs when x = 0. The location of the y intercept in (x,y) form is (0,-1)

12-32+[5-1]x2

-20+4x2

-20+8

=-12

The simplified form of the given expression is -12. Therefore, option A is the correct answer.

Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.

The given expression is 12-32+(5-1)2.

Here, 12-32+4×2

= -20+8

= -12

Therefore, option A is the correct answer.

Learn more about the simplification here:

brainly.com/question/2804192.

#SPJ6

I just answered a so let's start with b :

______________________________

b. The equivalent resistance of series

resistances is equal to their sum

Thus :

equivalent resistance = 480 + 360

equivalent resistance = 840

_______________________________

c.

I = V ÷ R

I = 120 ÷ 840

I = 0.1428 A

_______________________________

d. 0.1428 A

_______________________________

e. 480 ===》 120 - ( 480 × 0.1428 ) =

120 - 68.544 =

51.456

360 ===》 120 - ( 360 × 0.1428 ) =

120 - 51.408 =

68.592

_______________________________

f. 480 ===》68.544 lower than battery

360 ===》 51.408 lower than battery

Answer:

radius = 17 units

equation of the circle =( x -h)^2 +(y -k) ^2 = r^2

or , (8 -(-7))^2 + (7-(-1))^2 = r^2

or, (8+7)^2 + (7 + 1)^2 = r^2

or, (15)^2 + (8)^2 =r^2

or, 225 + 64 = r^2

or 289 =r^2

or, 17^2 = r^2

or, r = 17 units

Please check the point by inserting centre(-7,-1) in place of (h,k ) and point in (x , y) and radius in r in the following equation

(x-h)^2 + (y - k)^2 = r^ 2.

Answer:

x=28.9

Step-by-step explanation:

tan(61)=x/16

Answer:

=48

Step-by-step explanation:

Answer:

k/-8=-6

k=-6*-8

k=48

Step-by-step explanation:

Answer:

a.) Marginal Product (MP) = 120

b.) Average Product = 126

c.) At x = 12, the output is maximum.

d.) After 5 levels of inputs diminishing returns set in.

Step-by-step explanation:

Given that,

Q = 72x + 15x² - x³

a.)

Marginal Product is equal to

[tex]\frac{dQ}{dx} = 72 + 30x - 3x^{2}[/tex]

At x = 8

MP = 72 + 30(8) - 3(8)²

     = 72 + 240 - 192

     = 120

∴ we get

Marginal Product (MP) = 120

b.)

Average Product is equals to

= [tex]\frac{Q}{x}[/tex]

= 72 + 15x - x²

At x = 6

Average Product = 72 + 15(6) - 6²

                             = 72 + 90 - 36

                             = 126

∴ we get

Average Product = 126

c.)

For Maximizing Q,

Put [tex]\frac{dQ}{dx} = 0[/tex]

⇒72 + 30x - 3x² = 0

⇒24 + 10x - x² = 0

⇒x² - 10x - 24 = 0

⇒x² - 12x + 2x - 24 = 0

⇒x(x - 12) + 2(x - 12) = 0

⇒(x + 2)(x - 12) = 0

⇒x = -2, 12

As items can not be negative

∴ we get

At x = 12, the output is maximum.

d.)

Now,

For Diminishing Return

[tex]\frac{d(MP)}{dx} = \frac{d^{2}Q}{dx^{2} } < 0[/tex]

⇒30 - 6x < 0

⇒-6x < -30

⇒6x > 30

⇒x > 5

∴ we get

For x > 5, the diminishing returns set in

i.e.

After 5 levels of inputs diminishing returns set in.

Answer: 36

Step-by-step explanation: using long division you take 11 divide into 398 so first, 11 goes into 39, 3 times

you have 6 left, so keep the 6 and drop down the other 6

next 11 goes into 66, 6 times making it 396/11= 36  

hope this helps

Answer:

36

Step-by-step explanation:

396 divided by 11 is equal to 36

      36

11/[tex]\sqrt{396\\}[/tex]

   - 33

      066

    -  66

         0

Answer:

try doing 18.1

Step-by-step explanation:

hope this helps

Answer: change, position, shape

Step-by-step explanation:

Step-by-step explanation:

(-3y^2+24y)(-6y^2-3y)

open the bracket and collect the like terms

-3y^2-6y^2+24y-3y

-9y^2+21y

Answer:

Yes

Step-by-step explanation:

Answer:

$200.00

Step-by-step explanation:

because if you do a ratio:

12=40

60=?        

60 divided by 12 is 5, and whatever you do to the top you must do to the bottom, so then you gotta do 40 times 5=200

Answer:

7.75+1.25x=31.50

Step-by-step explanation:

so in the end the answer is 19

Answer:

19 refills

Step-by-step explanation:

7.75+1.25x=31.50

Subtract the 7.75 on the other side..

1.25x=23.75

Then divide 1.25 from the 23.75

So, x which is the refills equal 19

Answer and Step-by-step explanation:

The answer is acute.

Acute angles are angles that have a degree that is less than 90 degrees.

Obtuse angles are angles that have a degree that is more than 90 degrees.

Right angles are angles that are 90 degrees.

Our triangle has all angles that are less than 90 degrees, so it is an acute triangle.

#teatrmees #PAW (Plant And Water)

Answer:

A = 1,4

B = 2,1

C = -4,-5

Step-by-step explanation:

The 90 degree anticlockwise rotation around the origin (0,0) would over lap the y axis around 1 and due to this the formation would show C point at -4,-5

Answer:

He might have dropped it.

Step-by-step explanation:

If the manager didn't have any 5 dollar bills then he could have given him 3 dollars in ones and one 2 dollar bill. 2 dollar bills are rare now, he wanted the 2 dollar bill to keep for himself and also dropped one of the single dollar bills.

Answer:

Skateboard costs 125.73$

Step-by-step explanation:

Answer:

multiple by pie or 3.14........

Answer:

38 or 37.7 when not rounded

Step-by-step explanation: