2 × x × x × 3 × y × y × y
how do i do this?

Answer:

A)positive

Step-by-step explanation:

All quantities greater than zero will be positive, although zero itself is not considered negative or positive. Also, debt means that something would be owed. This would mean the number is negative and therefore not correct.

9514 1404 393

Answer:

  (81/43, -31/43) ≈ (1.884, -0.7209)

Step-by-step explanation:

The orthocenter is the intersection point of the altitudes of the triangle. Since this is not a right triangle, you need to find the equations of the altitude lines, then find where those intersect.

If we call the points A, B, C in the order given, the attached figure shows the altitude lines from B perpendicular to AC, and from C perpendicular to AB.

We can find the equation of the perpendicular line using the form ...

  ∆x·x +∆y·y = c

where ∆x and ∆y are the differences in coordinates between the points on the "side" and the value of constant 'c' is determined by evaluating the expression using x and y as the coordinates of the opposite vertex.

__

For line AC, we have ...

  (∆x, ∆y) = C - A = (2, -1) -(-3, 0.5) = (2+3, -1-0.5) = (5, -1.5)

Then the equation of the first altitude line is ...

  5x -1.5y = 6(3) -1.5(3) = 10.5

Multiplying by 2 puts this in standard form:

  10x -3y = 21

__

For line AB, we have ...

  (∆x, ∆y) = B - A = (3, 3) -(-3, 0.5) = (3+3, 3-0.5) = (6, 2.5)

Then the equation of the second altitude line is ...

  6x +2.5y = 6(2) +2.5(-1) = 9.5

Multiplying by 2 puts this in standard form:

  12x +5y = 19

__

Then the orthocenter is the solution to the system of equations ...

  10x -3y -21 = 0

  12x +5y -19 = 0

This set of equations can be solved a number of ways. One is the "cross-multiplication" method.

  1/(10·5 -12·(-3)) = x/(-3·(-19) -5·(-21)) = y/(-21(12) -(-19)(10))

  x = 162/86 = 81/43

  y = -62/86 = -31/43

The orthocenter is (81/43, -31/43) ≈ (1.884, -0.7209).

_____

Additional comment

The "cross multiply method" is based on cross products when the equations  are written in standard form:

  ax +by +c = 0

  dx +ey +g = 0

Usually, the coefficients are written in two rows of four, with the first column repeated at the end:

  a  b  c  a

  d  e  g  d

Then cross products are formed, where diagonal down is positive and diagonal up is subtracted from that:

  p1 = (ae -db), p2 = (bg -ec), p3 = (cd -ga)

These give the solution to the equations when put in the form ...

  1/p1 = x/p2 = y/p3   ⇒   x = p2/p1   and   y = p3/p1

If you look at videos of this "cross multiply method," they will put the 1/p1 at the end of the string of equalities, and they will use the coefficients in the order starting with b instead of a. I find the arrangement here easier to remember, so less likely to get confused.

Further comment

You can, of course, find the slopes of the lines, and their opposite reciprocals, then use a point-slope form or some other method for writing the equations of the altitude lines. The solution to the equations can proceed by substitution or elimination. No doubt these methods are somewhat familiar. The method used here tries to get to the answer much more quickly with a lot less writing. (Unfortunately, it takes a bit of writing to explain it all.)

Answer:

Step-by-step explanation:

7a^4 + 3a^4 is 10a^4

Answer:

11.31

Step-by-step explanation:

Answer:

B 11.31

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Answer:

Step-by-step explanation:

-3x+10

To graph:

Plot points at (0,10) and (10/3,0) and draw the line.

Answer:

$2.80

Step-by-step explanation:

17-3=14

14 divided by 5=

2.8

Add 0 since it's about money.

$2.80

Answer:

y=2 x=5

Step-by-step explanation:

3x-2y=11

2x-3y=4

you multiply both equations to cancel one variable out. in this case you multiply the first equation by 2 and the second by -3

     6x-4y=22

+    -6x-9y=12

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

0x+5y=10

y=2

you plug that in either equation

3x-2(2)=11

3x-4=11

3x=15

x=5

Answer:

A

Step-by-step explanation:

for the two of them, the first answer is the answer

Answer:

#1 - First option: y + 7 =  [tex]\frac{-1}{4}[/tex](x -4)

#2 - First option: y = 2x - 5

Step-by-step explanation:

#1

Given: (x1,y1) = (4,-7) and m = [tex]\frac{-1}{4}[/tex];

To find the point slope form which is

y - y1 = m(x - x1); substitute (x1,y1) and m

y - (-7) = [tex]\frac{-1}{4}[/tex](x -4)

y + 7 =  [tex]\frac{-1}{4}[/tex](x -4)

#2

Given: points (x1,y1) = (0, -5) and (x2,y2)=(4,3)

To find the slope we use

m = [tex]\frac{(y2-y1)}{(x2-x1)}[/tex] = [tex]\frac{(3-(-5))}{(4-0)}[/tex] = [tex]\frac{8}{4}[/tex] = 2

Now pick a number to find b

y = mx + b

y1 = mx1 + b

-5 = 2(0) + b

b = -5

now plug into y = mx + b; which is

y = 2x - 5

Answer:

The ratios in their simplest form are:

A 25:24

B 19:24

C 23:24

D 11:16

Step-by-step explanation:

The ratios are in their simplest form are the ratios that cannot be simplified further.

We will check all the ratios one by one

A 25:24

Cannot be further simplified so it is in the simplest form

B 19:24

Cannot be simplified further.

C 23:24

Cannot be simplified further

D 11:16

Cannot be simplified further

E 27:18

[tex]27:18\\3:2[/tex]

Further simplified, so it was not in simplest form.

Hence,

The ratios in their simplest form are:

A 25:24

B 19:24

C 23:24

D 11:16

Answer:

We are given the rule: the speed is the ratio between the distance and the time. So we have

s = d/t = 100/2.5

Answer:

Step-by-step explanation:

Answer:

Negative 5 and 7 over 8

Step-by-step explanation:

5.875 look at this: 5 "5".87" 5" || and '5.8"7"5'  7 || over '5."8"75 8', you don't need to write the other five 5.87"5" because it is in the beginning of the number/ whole number "5".875

Answer:

Friction is a force between two surfaces that are sliding, or trying to slide, across each other.

Step-by-step explanation:

For example, when you try to push a book along the floor, friction makes this difficult.

Answer:

Friction is the force that opposes motion between any surfaces that are in contact. There are four types of friction: static, sliding, rolling, and fluid friction. Static, sliding, and rolling friction occur between solid surfaces. Fluid friction occurs in liquids and gases.

Step-by-step explanation:

Answer:

the answer is A

Step-by-step explanation:

I have a feeling in my genitals

Answer:

B. $0.88

Step-by-step explanation:

x = number of bananas

y = cost of bananas in dollars

Given that 4 bananas cost $3.52, the constant of proportionality that relates cost of bananas, y, to the number of pounds of bananas, x = y/x

y = 3.52

x = 4

Therefore:

Constant of proportionality = [tex] \frac{3.52}{4} = 0.88 [/tex].

Answer

1.386 billion.

Step-by-step explanation:

The answer is C!

- Got it right on edge :)

- Have a good day !

Answer:

identity

Step-by-step explanation:

it states that any number times 1 is equal to itself. so when u have 14y, you can multiply it by 1 and it will remain the same.

Answer:

identity

Step-by-step explanation:

Answer:

Step-by-step explanation:

C. Solve for y

Answer: 2/9

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

Answer:

go near the bottom tight of the screen the  you will see 13 sorry i cant help more then that

Step-by-step explanation:

Answer:

y = x - 23

Step-by-step explanation:

Answer:

Question 1: Option C: y -6 = 8(x+4) is the correct answer.

Question 2: Option B: y-1=0 is the correct answer.

Step-by-step explanation:

Question 1(In Picture):

Given point is: (-4,6) and

Slope: m = 8

The point-slope form of equation of a line is given by:

[tex]y - y_1 = m(x-x_1)[/tex]

Here (x1,y1) are the coordinates of the point from which the line passes. Putting (-4,6) in the equation and slope

[tex]y -6 = 8(x+4)[/tex]

Hence,

Option C: y -6 = 8(x+4) is the correct answer.

Question 2:

Given point is: (3,1) and

Slope: m = 0

The point-slope form of equation of a line is given by:

[tex]y - y_1 = m(x-x_1)[/tex]

Here (x1,y1) are the coordinates of the point from which the line passes. Putting (-4,6) in the equation and slope

[tex]y -1 = 0(x-3)\\y-1 = 0[/tex]

Hence,

Option B: y-1=0 is the correct answer.

Step-by-step explanation:

x= -2,

(x - 5) / 2= -6

( (-2) - 5) / 2= -6

(-7) / 2 = -6

-3.5 = - 6

right hand side not equal to left hand side of this equation.so,x= -2 cannot exist for this equation.

x=2,

(x - 5) / 2= -6

(2 - 5) / 2= -6

(-3) / 2= -6

-1.5 = - 6

right hand side not equal to left hand side of this equation.so,x= 2 cannot exist for this equation.

x= -17

(x - 5) / 2= -6

( ( -17) - 5) / 2= -6

(- 22) / 2= -6

-11 = -6

right hand side not equal to left hand side of this equation.so,x= -17 cannot exist for this equation.

x= -7,

(x - 5) / 2= -6

( ( -7) -5) / 2= -6

(-12) / 2= -6

-6= -6

right hand side equal to left hand side of this equation.so,x= -7 exist for this equation.

Answer:

The value of the expression is, [tex]\frac{1}{x+6}[/tex].

Step-by-step explanation:

The expression is as follows:

[tex]\frac{5x^{2}+6x+1}{x^{2}+7x+6}\div (5x+1)[/tex]

Solve as follows:

[tex]\frac{5x^{2}+6x+1}{x^{2}+7x+6}\div (5x+1)=\frac{5x^{2}+6x+1}{x^{2}+7x+6}\times \frac{1}{5x+1}[/tex]

                               [tex]=\frac{5x^{2}+5x+x+1}{x^{2}+6x+x+6}\times\frac{1}{5x+1}\\\\=\frac{(5x+1)(x+1)}{(x+6)(x+1)}\times\frac{1}{5x+1}\\\\=\frac{1}{x+6}[/tex]

Thus, the value of the expression is, [tex]\frac{1}{x+6}[/tex].

Answer:

20 miles

Step-by-step explanation:

Let

x = total number of miles she wish to run the end of this month

If Carrie is 55% of the way to achieving her goal and she has already run 11 miles

55% of her total miles = 11 miles

55% of x = 11 miles

55/100 * x = 11 miles

0.55x = 11

Divide both sides by 0.55

x = 11 / 0.55

= 20

x = 20 miles

x = total number of miles she wish to run the end of this month = 20 miles

She is trying to run 20 miles by the end of this month

Answer:

the answer is 40 dollars

Step-by-step explanation:

all you have to do is multiply 15x2 and then add 10

Answer:

$40 dallors.

Step-by-step explanation:

First you would do, 2 times 15 and get 30.

Then do 30 plus 10 to get $40 dallors.

Answer:

sanaol matalino

Step-by-step explanation:

kase dehins matalino