Find an equation of the perpendicular bisector of the line segment whose endpoints are given.
(0,1) and (-10,5)
The equation is
andard form)

Find An Equation Of The Perpendicular Bisector Of The Line Segment Whose Endpoints Are Given.(0,1) And

Answers

Answer 1

Answer:

The equation of the perpendicular bisector line

5 x - 2 y + 31 =0

Step-by-step explanation:

Explanation:-

Given points are ( 0,1) and (-10,5)

The Midpoint of given two points

             [tex](\frac{x_{1}+x_{2} }{2} , \frac{y_{1}+y_{2} }{2} )[/tex]

             (-5 , 3)

The Slope of the line

 m =        [tex]\frac{y_{2} -y_{1} }{x_{2}-x_{1} } = \frac{5-1}{-10} = \frac{-2}{5}[/tex]

The perpendicular slope

    =   [tex]\frac{-1}{m} = \frac{-1}{\frac{-2}{5} } = \frac{5}{2}[/tex]

The equation of the perpendicular bisector line

 [tex]y - y_{1} = m (x - x_{1} )[/tex]

 [tex]y - 3 = \frac{5}{2} ( x-(-5))[/tex]

  2 y - 6 = 5( x +5)

    5 x + 25 -2y +6 =0

   5 x - 2 y + 31 =0


Related Questions

need help asap please

Answers

Step-by-step explanation:

We know that opposite sides of parallelogram are equal so

t + 10 = 3t

3t-t = 10

2t = 10

t = 10/ 2

t = 5

Therefore the value of the should be 5 so that it makes a parallelogram.

Hope it will help :)

2). Parents and doctors wish to compare a child's he
children's heights of the same age. The height is the variable. Yes or NO

Answers

Answer:

Yes

Step-by-step explanation:

Yes it is the variable

What the slope of this please help :)

Answers

Answer:

-0.1

Step-by-step explanation:

Answer:

The answer to the question provided is:

[tex] - \frac{1}{10} [/tex]

i attached a picture please tell me where she made a mistake i am really struggling thanks.

Answers

Answer:

step 1 is wrong ........

If Log 20 = 1.301 what is the value of Logsub100 20?

I need the step by steps! I can’t find anything videos online to teach this to me

Answers

Answer:

[tex]log_{100}20 = 0.6505[/tex]

Step-by-step explanation:

log20 = 1.301 (when you see only "log" with no base, it is taken as a base 10)

This basically means:

[tex]10^{1.301} = 20[/tex]  (This is the log in exponential form)

Since we don't know what  [tex]log_{100}20[/tex]  is equal to, we will say  [tex]log_{100}20[/tex] = x

So to solve for [tex]log_{100}20[/tex] = x, you do the same thing. (convert to exponential form)

[tex]100^{x} =20[/tex]

Now you will notice that both of these equations are equal to 20.

Since 20 = 20,

we can say [tex]100^{x}[/tex] = [tex]10^{1.301}[/tex]

Another way of saying 100, is [tex]10^{2}[/tex] (make the bases the same)

Now we get [tex]10^{2x} = 10^{1.301}[/tex]      

(we get 2x because an exponent to the power of an exponent ([tex]2^{x}[/tex]) is the same as 2 * x)

Because you have the same base, you can just ignore the 10s and focus on the exponents. So you get:

2x = 1.301

x = 0.6505

Write the following equation in slope-intercept form: y-3=2x. *

Answers

Answer:

y = 2x + 3

Step-by-step explanation:

Slope- intercept form: y = mx + b

y - 3 = 2x

     y = 2x + 3

Which is an x-intercept of the graph of the function Y = Cot(3x)?

Answers

Answer:

A on ed 2021

Step-by-step explanation:

if you go on Desmos graphing calculator and graph y = cot(3x)

then graph the points

A. (pi/6, 0)

B. (pi/3, 0)

C. (3pi, 0)

D. (6pi, 0)

POINT A. (pi/6, 0) is the only point that intercepts the graph

The x-intercept of the graph of the function y = cot(3x) is ,

⇒ (π/6, 0)

What is mean by Function?

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Here, The graph of the function is given as:

y = cot(3x)

Now, To determine the x-intercept of the graph, we set the graph to 0.

So, we have:

cot(3x) = 0

Take the arccot of both sides;

3x = arccot(0)

Evaluate the arccot of 0

3x = π/2

Divide both sides by 3

x = π/6

Hence, the x-intercept of the graph of the function y = cot(3x) is

⇒ (π/6, 0)

Learn more about x-intercepts at:

brainly.com/question/3951754

#SPJ7

pls help, i need this in 5 mins!

Answers

Answer:

85

Step-by-step explanation:

15-a=20 what value would make this true

Answers

Answer:

a = -5

Step-by-step explanation:

15 - a = 20

Move the constant of 15 to the other side by subtracting it.

-a = 5

Divide by -1 to make a positive.

a = -5

Check.

15 - (-5) = 20

15 + 5 = 20

20 = 20

Answer:

-5

Step-by-step explanation:

15-(-5)=20

5 turns into a positive

15+5=20

What is the length of segment DB?

Answers

i believe it’s 82

8x=3x+8+4x+10
x=18

4•18+10=72+10=82

I will mark brainliest please help ​

Answers

3.75 quarts=15 cups

Find the missing side or angle.
Round to the nearest tenth.
B=18°
C=152°
b=4
c=[ ? ]

Answers

Answer:

c = 6.1

Step-by-step explanation:

Given that: B = 18° , C = 152°,  and b = 4.

The missing side, c, can be determined by applying the sine rule which states that:

[tex]\frac{b}{Sin B}[/tex] = [tex]\frac{c}{Sin C}[/tex]

[tex]\frac{4}{Sin 18^{o} }[/tex] = [tex]\frac{c}{Sin 152^{o} }[/tex]

c = [tex]\frac{4* Sin 152^{o} }{Sin 18^{o} }[/tex]

 = [tex]\frac{1.8779}{0.3090}[/tex]

 = 6.0773

c = 6.1

Therefore,  the value of the missing side, c, is 6.1

what is 14/25 as a decimal and as a percent?

Answers

Answer: 0.56 as a decimal 56% as a percentage

Step-by-step explanation:

14/25 = (14×4)/(25×4) = 56/100 = 0.56
0.56 = 56%

Which graph is the graph of y-2=4(x+5)

Answers

Answer:

The answer is C

Answer:

A

Step-by-step explanation:

y=4(x+5)+2

y=4x+20+2

y=4x+22

The Y-intercept is going to be 22, so we can already eliminate D and C. and so the difference between A and B is that B is a negative line and A is not. And since the slope is not negative in the equation, B cannot be the answer, so A is the answer.

Mylo started making this graph to relate the number of hours he works with the amount of money he is paid. A point representing which information could be added to the graph to show a proportional relationship? A. $16 for working 2 hours B. $36 for working 4 hours C. $40 for working 5 hours D. $58 for working 6 hours\

Answers

Answer:

I can confirm that  the awnser is B

Step-by-step explanation:

I got a 100%

Answer:

B

Step-by-step explanation:

the other person said it was B

The Equation of line K is y=8/7x+3 perpendicular to line k is line L which passes through (-8,3) what is the slope of the equation of line l

Answers

Answer:

mathm waaayys can help you

Step-by-step explanation:

plzzz help: The sequence graphed below can be generated using which formula?

Answers

Answer:

The answer is A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Edge2021

What is the distance between the points (-9,5) and (8,5)

Answers

Answer:

17 units

Step-by-step explanation:

Use distance formula, [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex], to find the distance between (-9, 5) and (8, 5):

Let,

[tex] (x_1, y_1) = (-9, 5) [/tex]

[tex] (x_2, y_2) = (8, 5) [/tex]

Plug in the values into the distance formula:

[tex] d = \sqrt{(8 - (-9))^2 + (5 - 5)^2} [/tex]

[tex] d = \sqrt{(17)^2 + (0)^2} [/tex]

[tex] d = \sqrt{(289 + 0)} [/tex]

[tex] d = \sqrt{289} [/tex]

[tex] d = 17 [/tex]

Jason keeps track of the money he earns and spends in the table below. A positive number
means money earned. A negative number means money spent. Which list shows the
amounts in dollars ordered from least to greatest?

Answers

Need more info to solve this

Which linear function represents the line given by the point-slope equation y + 7 = -2/3 (x+6)?
O f(x) = -x-11
O fx) = x-1
O f(x) = 2x+3
O fx) = 2x + 13

Answers

Answer:

A- f(x) -x-11

Step-by-step explanation:

The top equation y+7= -2/3(x+6) has a

Y-intercept of (0,-11)

Slope=-2/3

Answer A has the the same

y-intercept (0,-11)

Slope of -1

Answer is the only one with the same y-intercept.

simplify the expression (-6i)(-6i)​

Answers

Answer:

36i^2 i think that's right

SUP= 125 UPE=110 SRE=85 find SUR

Answers

Answer:

m∠SUR = 15°

Step-by-step explanation:

m∠UPE = 110°

m∠UPR = m∠EPR [Given]

m∠UPR = [tex]\frac{1}{2}(m\angle UPE)[/tex]

             = [tex]\frac{1}{2}(110)[/tex]

             = 55°

Since, m∠SRU = m∠UPR [Given in the picture]

m∠SRU = 55°

m∠SRE = m∠SRU + m∠URP + m∠PRE

85° = 55° + m∠URP + m∠PRE

m∠URP + m∠PRE = 30°

Since, m∠URP = m∠PRE

m∠URP + m∠URP = 30°

m∠URP = 15°

Since, m∠URP = m∠SUR [Given in he picture]

m∠SUR = 15°

does anyone understand this i never get it

Answers

Answer: 18

Step-by-step explanation:

6 ÷ 2 = 3

162 ÷ 54 = 3

The constant ratio is 3

6 × 3 = 18

Hope I helped!

What is the value of the expression (2/5+2/5)×3/10?
HELP

Answers

What is the value of the expression (2/5+2/5)×3/10?

ANSWER

[tex] \frac{6}{25} [/tex]

EXPLANATION:

[tex]( \frac{2}{5} + \frac{2}{5} ) \times \frac{3}{10} [/tex]

[tex] \frac{4}{5} \times \frac{3}{10} [/tex]

[tex] \frac{6}{25} [/tex]

Decimal Form:

[tex]0.24[/tex]

HopeItHelps you

#CarryOnLearning

Question
If f(x) = x^2 + 7x and g(x) = 3x - 1, what is f(g(x))?
O 9x2 + x + 1
9x2 + 15x - 6
9x2 + 21x-6
9x2 - 27x
Help please

Answers

Answer:

9x^2 + 15x -6

Step-by-step explanation:

Your problem → If f(x) = x^2 + 7x and g(x) = 3x - 1, find f(g(x))?

f(x)=x2+7x,g(x)=3x-1,fog(x)=?

g(x)=3x-1,f(x)=x2+7x

fog(x)=f(g(x))

=f(3x-1)

 =(3x-1)2+7⋅(3x-1)

=(3x-1)2+21x-7

=(9x2-6x+1)+21x-7

=9x2+15x-6

fog(x)=9x2+15x-6

If 2^3x-1 = 32 then x = (image included)
a. 5
b. -2
c. 2
d. 4/3
e. -4

Answers

Answer:

x is equal to two.

Step-by-step explanation:

We know that 32 is a power of 2.  It is in fact two to the power of five.  So we can re-express that as:

[tex]2^{3x - 1} = 2^5[/tex]

Because they have the same constant as a base, we can toss the base altogether, and equate the exponents:

[tex]3x - 1 = 5\\3x = 6\\x = 2[/tex]

5 + r = 7
what does r =

Answers

Answer:

2

Step-by-step explanation:

5+2=7

need help asap please

Answers

Answer:

[tex]\displaystyle yes[/tex]

Step-by-step explanation:

If the angle of elevation is congruent in both triangles, then both smaller legs are congruent.

I am joyous to assist you at any time.

9. What is the best model for the data?
Answer choices:
Linear
Exponential
Quadratic

Answers

Answer:

Exponential

Step-by-step explanation:

I think this is the answer but not correct me if I'm wrong

I will mark you Brainly-est pls! I need this done by tomorrow :) it’s 55 points btw

Answers

Answer:

Step-by-step explanation:

9. 1.6f + 0.4j - 13

11. -6y + 13

13. -1/2j + 15

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