Which could be the length of DB​

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.)

It is B and D because it is the only one that matches the input and outputs. D shows a perfect graph of the points while B shows the points themselves. They cannot be a linear function since they are not linear so it is not E or F.

Step-by-step explanation:

5x+2y=29

5x-2y=41

add the equations

10x=70

divide both sides by ten

x=7

substitute 7 in the first equation

5(7)+2y=29

simplify

35+2y=29

subtract 35 from both sides

2y=-6

simplify

y=-3 x=7

3x+2y=9

5x+2y=12

subtract the equations

-2x=-3

simplify

x=1.5

substitute

3(1.5)+2y=9

simplify

4.5+2y=9

subtract 4.5 from both sides

2y=4.5

simplify

y=2.25 x=1.5

5x+2y=-9

2x-3y=4

multiply first equation by three and second by two

15x+6y=-27

4x-6y=8

add equations

19x=-19

simplify

x=-1

substitute

15(-1)+6y=-27

simplify

-15+6y=-27

add 15 to both sides

6y=-12

simplify

y=-2 x=-1

Answer :need the options you choose frome

Step-by-step explanation:

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:

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)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.

Answer:

The correct answers are: 1 and -15

Step-by-step explanation:

Let a be a point on number line and b be the second point on number line.

The distance between two numbers on number line is calculate by subtracting the smaller number from larger number.

Here

AB = 8

B = -7

We have to look at the options one by one.

For A = -1

As A>B

[tex]AB = B-A = -1-(-7) = -1+7 = 6[/tex]

For A = 1

As A>B so

[tex]AB = A-B = 1-(-7) = 1+7 = 8[/tex]

So with A = 1 , AB = 8

This is one of the right answers.

For A=15

As A>B

[tex]AB = A-B = 15-(-7) = 15+7 = 22\\[/tex]

For A=-15

As B>A

[tex]AB = B-A = -7-(-15) = -7+15 = 8[/tex]

As with A=1 and A=-15, the distance between AB is 8 so these are the correct answers.

Hence,

The correct answers are: 1 and -15

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: y=-8/5x-4

Step-by-step explanation:

8x+5y=-20

-8x         -8x

5y=-8x-20

/5     /5

y=-8/5x-4

Answer:

$162

Step-by-step explanation:

Step 1: Multiply 540 by .3 (convert 30% to a decimal)

540 x 0.3= 162

Answer:

300 million

Step-by-step explanation:

Answer:

5,000 people = 1520000%

Step-by-step explanation:

Answer:

Y = 5x -7

Step-by-step explanation:

That is written in slope intercept form, which I'm assuming is what you need. If not comment on my answer.

Answer:

y = 5x - 7

Step-by-step explanation:

y-3= 5(x-2)

y-3 = 5x - 10

y=5x -7

This is the answer if you have anymore questions please ask

Answer:

False

Step-by-step explanation:

Answer:

sanaol matalino

Step-by-step explanation:

kase dehins matalino

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 = x - 23

Step-by-step explanation:

Answer:

the numbers are missing here, so I looked for a similar question:

Print-O-Rama

# shirts    total  cost

10                $95

50             $375  

a. Does either pricing model represent a proportional relationship between the quantity of t-shirts and the total cost? Explain.

Value T’s and More offers a proportional relationship since each t-shirt costs $8 regardless of the number of t-shirts

b. What is the constant of proportionality of Value T’s and More? What does it represent?

$8 per t-shirt

f(c) = $8t

the function of total cost = $8 times the number of t-shirts ordered

c. How much is Print-o-Rama’s set-up fee?

using the high-low method

variable cost = ($375 - $95) / /50 - 10) = $7 per t-shirt

fixed cost (set-up fee) = $375 - (50 x $7) = $25

d. If you need to purchase 90 shirts, write a proposal to your teacher indicating which company the team should use. Be sure to support your choice. Determine the number of shirts that you need for your team.

purchasing 90 t-shirts at Print-o-Rama costs = $25 + (90 x $7) = $655

purchasing 90 t-shirts at Value T’s and More costs = 90 x $8 = $720

you should purchase the t-shirts at Print-o-Rama since the cost is lower.

Answer:

AD ≅ BC                                         | Given

AD ║ BC                                         | Given

AC ≅ AC                                         |  Reflexive Property

∠DAC ≅ ∠ACB                               | If 2 || lines are cut by a trans., the                                                                       |  alternate interior ∠s are congruent.

ΔADC ≅ ΔBCA                               | S.A.S  Postulate

BA ≅ DC                                         | Corresponding sides of congruent Δs

So, quad. ABCD is a ║gm             | If a quad. has its opposite sides

                                                      | congruent, the quad. is a parallelogram.

Step-by-step explanation:

Step-by-step explanation:

Sorry I'm late I hope that helps:)

Answer:

Step-by-step explanation:

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

Answer:

C. Circle B and circle H are similar.

Step-by-step explanation:

From Euclidean Geometry we remember that all circles are similar to each other and from Analytical Geometry we know that all circles are characterized by two things: Center and radius. Both circles B and H are known for having a respective radius and center.

In consequence, we conclude that correct answer is C.

Answer: 2/9

Step-by-step explanation:

Answer:

20x^2 - 107x - 10.

Step-by-step explanation:

8x - 108x - 10 - (9x^2 + 7x -29x^2)

simplifying:

-100x - 10 - (7x - 20x^2)

20x^2-100x - 7x - 10

20x^2 - 107x - 10

Answer:

−9x

2

+x−8

Step-by-step explanation:

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:

bla bla bal bala bla bla bla bla hahahahhahahahhhehehhehehehheheh joke png

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:

Step-by-step explanation:

C. Solve for y