please help asap!!! i dont understand it

Please Help Asap!!! I Dont Understand It

Answers

Answer 1

Answer:

a

Step-by-step explanation:

A perpendicular bisector, intersects a line at its mid point and is perpendicular to it.

Calculate slope m using the slope formula

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

with (x₁, y₁ ) = (- 7, 1) and (x₂, y₂ ) = (9, 13)

m = [tex]\frac{13-1}{9-(-7)}[/tex] = [tex]\frac{12}{9+7}[/tex] = [tex]\frac{12}{16}[/tex] = [tex]\frac{3}{4}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{3}{4} }[/tex] = - [tex]\frac{4}{3}[/tex] ←  slope of perpendicular bisector

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

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

using (x₁, y₁ ) = (- 7, 1) and (x₂, y₂ ) = (9, 13) , then

midpoint = ( [tex]\frac{-7+9}{2}[/tex], [tex]\frac{1+13}{2}[/tex] ) = ( [tex]\frac{2}{2}[/tex], [tex]\frac{14}{2}[/tex] ) = (1, 7 )

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - [tex]\frac{4}{3}[/tex] , then

y = - [tex]\frac{4}{3}[/tex] x + c ← is the partial equation

To find c substitute the midpoint (1, 7) into the partial equation

7 = - [tex]\frac{4}{3}[/tex] + c ⇒ c = [tex]\frac{21}{3}[/tex] + [tex]\frac{4}{3}[/tex] = [tex]\frac{25}{3}[/tex]

y = - [tex]\frac{4}{3}[/tex] x + [tex]\frac{25}{3}[/tex] ← equation of perpendicular bisector


Related Questions

Hi! i need some help with this question, you don't need to help with the 2 parts, just any 1. Thank you!!

y varies is directly as 3x – 4, and y = 33 when x = 5
Find:
a) y when x = 2
b) x when y = 15​

Answers

Answer:

See explanation

Step-by-step explanation:

y = k * (3x - 5)

Where,

k = constant of proportionality

y = 33 when x = 5

y = k * (3x - 5)

33 = k * (3 * 5 - 5)

33 = k * (15 - 5)

33 = 15k - 5k

33 = 10k

k = 33/10

k = 3.3

a) y when x = 2

y = k * (3x - 5)

y = 3.3(3 * 2 - 5)

= 3.3(6 - 5)

= 3.3(1)

y = 3.3

b) x when y = 15​

y = k * (3x - 5)

15 = 3.3(3x - 5)

15 = 9.9x - 16.5

15 + 16.5 = 9.9x

31.5 = 9.9x

x = 31.5/9.9

x = 3.18

I NEEDDDD HELPPPP ITSSSS URGENTTTT!!!!!

Answers

Answer: 75.4

Step-by-step explanation:

The equation for the circumference for a circle is diameter times pi. 24 times pi is 75.3982236862. Rounded to the nearest tenth would make it 75.4.

a. 75.4, hope this helps:)

PLS HURRY I NEED THE ANSWER FAST

Answers

Answer:

16

notice how a right triangle was formed, and the Pythagorean theorem could be used to solve this :

a^2 + b^2 = c^2

a^2 + 15^2 = 17^2

a^2 + 225 = 289

a^2 = 64

a= 8

multiply it by 2 to get the side of the base

8 * 2 = 16

Which ordered pair is the best estimate for the solution of this system of linear equations?
A.(-6, -2)
B.(-3, 2)
C. (4,-4)
D. (6,8)​

Answers

Answer:

B. (-3, 2)

Step-by-step explanation:



Kasonga's TV plan costs $59.99 per month plus $5.49 per first-run movie. How many first-run movies can he watch if he wants to keep his monthly bill to be a maximum of $100?

Answers

Answer:

7

Step-by-step explanation:

We can solve this problem by making an equation for the monthly bill. First, the cost is $59.99 per month, and that cannot be decreased, so we must add all costs to that amount. Next, it costs $5.49 per first run movie, so for each first run movie, we add $5.49 to the total. Therefore, we can write our equation as

59.99 + 5.49 per first run movie = monthly bill

Representing the number of first run movies as r, we can say

59.99 + 5.49 * r = monthly bill

Next, the monthly bill should be less than or equal to 100, so we can say

monthly bill ≤ 100

59.99 + 5.49 * r = monthly bill ≤ 100

Moreover, we want to maximize r, or the amount of first run movies. Because we add money to the monthly bill for each movie, to maximize r, we have to find the maximum money we can spend on the monthly bill that is still less than or equal to 100. To do this, we set the monthly bill to its maximum limit, or 100, so we have

59.99 + 5.49 * r = 100

subtract 59.99 from both sides to isolate the f and its coefficient

40.01 = 5.49 * r

divide both sides by 5.49 to isolate the variable

r ≈ 7.29

Since we can't buy .29 of a movie, and rounding up to 8 movies would cause us to go past 100 dollars, the maximum movies he can watch if he wants to keep his monthly bill ≤ 100  is 7

proof of basic proportionality theorem ​

Answers

Answer:

Basic proportionality theorem: If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points then the other two sides are divided in the same ratio. and DE intersects AB and AC at D and E respectively. ... Hence we can say that the basic proportionality theorem is proved.

[tex] \boxed{ \sf \: Basic \: Proportionality \: Theorem \: (BPT)}[/tex]

This theorem states that if a line is drawn parallel || to one side of a triangle ∆ to intersect the other 2 sides in distinct points, the other 2 sides are divided in the same ratio.

From the figure, with the help of this proof, we can see that :-

[tex]\sf \: \frac{AD}{AE} = \frac{AE}{EC} \\ [/tex]

Refer to the attached pictures for the proof & the figure.

_____

Hope it helps.

RainbowSalt2222

Polygon ABCDEF has 6 sides. A is 170° C is 133° D is 102° he is 117° and F is 90°. What is the measure of b?

Answers

Answer:

[tex]B = 134^o[/tex]

Step-by-step explanation:

[tex]n = 6[/tex] --- sides

[tex]A = 170^o[/tex]

[tex]C = 107^o[/tex]

[tex]D = 102^o[/tex]

[tex]E = 117^o[/tex]

[tex]F = 90^o[/tex]

Required

The measure of B

The interior angles of a polygon is:

[tex]Angles = (n - 2) * 180[/tex]

So, we have:

[tex]Angles = (6 - 2) * 180[/tex]

[tex]Angles = 4 * 180[/tex]

[tex]Angles = 720^o[/tex]

The measure of B is calculated using:

[tex]A + B + C + D + E + F = 720[/tex]

Substitute known values

[tex]107 + B + 170 + 102 + 117 + 90 = 720[/tex]

Collect like terms

[tex]B + 107 + 170 + 102 + 117 + 90 = 720[/tex]

[tex]B + 586 = 720[/tex]

Collect like terms

[tex]B = 720 - 586[/tex]

[tex]B = 134^o[/tex]

What is the volume of the rectangular prism.

A. 16in. 3
B. 22 1/2in. 3
C. 200 in. 3
D. 212 1/2in. 3

Answers

Answer:

C: 200

Step-by-step explanation:

Just multiply 12.5 x 8 x 2 to get the answer.

Answer:

C. 200 in.^3

Step-by-step explanation:

The volume is given by

V = l*w*h

V = 12 1/2 * 8*2

V = 25/2 *8*2

  = 25*8

  = 200 in ^3

DOES A TRANSLATION PRESERVE ITS LENGTH, SHAPE, SIZE, AND ORIENTATION? EXPLAIN.

Answers

Step-by-step explanation:

Yes. A translations preserve it's. length, shape,size and orientation. WHY?

, A translation is a rigid transformation so it preserve it physical features of the shape( both pre image and current image).A translation can be used to show if two figures are congruent so it preserve it shape.

Divide $128 in the ratio 2:3:7​

Answers

Answer:

21.33: 32: 74.67

Step-by-step explanation:

2:3:7

The total is 2+3+7 = 12

Divide 128 by 12

128/12 = 32/3

Multiply each number by 32/2

2*32/3 : 3*32/3  :7*32/3

64/3 : 32 : 224/3

Rounding to the nearest cent

21.33: 32: 74.67

please answer this question!!​

Answers

Answer:

3

Step-by-step explanation:

A = C

6x + 11 = 3x +20

3x = 9

x = 3

Write the solution set of the inequality graphed below as a com-
pound inequality using the variable g.

Answers

Answer:

-17 < g [tex]\leq[/tex] 8

Step-by-step explanation:

'g' is within the range of numbers that are greater than -17 and less than or equal to 8. we know that it is less than or equal to because the circle is closed or filled in, at 8.

Find the value of x. Round to the nearest tenth

Answers

Answer:

70.5

Step-by-step explanation:

Refer to attached image

What is the value of the variable result after these lines of code are executed?

>>> a = 3
>>> b = 2
>>> c = 0
>>> result = a * b - c * b

Answers

Answer:

the answer is 6

Step-by-step explanation:

3×2-0×2=6

what is 14.005 as a fraction

Answers

Answer:

[tex]14 \frac{5}{1000} [/tex]

Step-by-step explanation:

[tex]14.005 = 14 \frac{5}{1000} [/tex]

proper frac 14 1/200

improper frac 2801/200

Find: (6m5 + 3 – m3 – 4m) – (–m5 + 2m3 – 4m + 6)

Answers

Answer: 7m⁵ -3m³ - 3

Working:

= (6m⁵ + 3 - m³ - 4m) -(-m⁵ + 2m³- 4m +6)

= 6m⁵ + 3 - m³ - 4m +m⁵-2m³+4m - 6

= 6m⁵ + m⁵-m³ -2m³ -4m + 4m - 6 +3

= 7m⁵ -3m³ - 3

Answered by Gauthmath must click thanks and mark brainliest

What is the volume of the pyramid below?

Answers

Answer:

we can find volume of a pyramid when we use this formule: area of triangle*high/3

Step-by-step explanation:

let's we put the data (8*6/2)*7/3= (48/2)*7/3=56

fill in the blanks □+0=3/4.also mention the property used.
plz answer fastly and give correct answer and I can understand .​

Answers

Answer:

3/4 + 0 = 3/4 Additive Neutral Property

Step-by-step explanation:

2. The lines shown in the figure are parallel lines cut by a transversal. Angles a and e are:
b
a
d
8
h

Answers

Answer:

Corresponding Angles

Step-by-step explanation:

Angles a and e are corresponding angles and they are also congruent.

tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

A pole that is 2.7 m tall casts a shadow that is 1.56 m long. At the same time , a nearby building casts a shadow that is 38.25 m long. How tall is the building ? Round your answer to the nearest meter.

Answers

Set up a ratio of height/ shadow

2.7/1.56 = x/38.25

Cross multiply:

1.56x = 103.275

Divide both sides by 1.56

X = 66.2

Round to nearest meter = 66

Answer: 66 meters

a 60kg person climbs stairs of total height of 20m in two minutes calculate the power delivered [g = 10ms^2].​

Answers

Answer:

she's I'll ccgmf

Step-by-step explanation:

for the next day and night and it was so yitd cash check out j vfkcnc gjjx xh

CAN YOU GUYS HELP ME PLS IM FAILING GET THIS CORRECT PLS IM FAILING BADDD ITS PYTHAGOREAN THEOREM

Answers

Answer:

the answer will be 10.81

if.you round of to the nearest tenth then 10.8 feet will be the distance from slide to the monkey bar

8x+4=3(x-1) +7 solve​

Answers

Answer:

x = 0

Step-by-step explanation:

8x + 4 = 3(x − 1) + 7

Simplify both sides of the equation:

8x + 4 = (3)(x)+ (3)(−1) + 7

8x + 4 = 3x + (−3) +7

Combine like terms:

8x + 4 = (3x) + (−3+7)

8x + 4 = 3x + 4

Subtract 3x from both sides:

8x + 4 − 3x = 3x + 4 − 3x

5x + 4 = 4

Subtract 4 from both sides:

5x + 4 − 4 = 4 − 4

5x =0

Divide both sides by 5:

5x/5 = 0/5

x = 0

Given AB= CD, and mAB = 134 find mCD​

Answers

Answer:

arc CD = 134°

Step-by-step explanation:

Given 2 equal chords in a circle then the minor arcs are equal, that is

arc CD = arc AB = 134°

The value of mCD is 134°.

What is an arc?

The arc is a portion of the circumference of a circle.

Given data as :

chord AB = chord CD, and

mAB = 134°

The minor arcs are equal if there are two similar chords in a circle.

So, arc CD = arc AB

Substitute the value of mAB = 134° in the above equation,

⇒ mCD = 134°

Hence, the value of mCD is 134°.

Learn more about arc of circle here:

brainly.com/question/1577784

#SPJ2

Find the sum of the first 40 terms of an arithmetic series whose first term is 7 and 40th term is 115. Type answer as an integer (no decimals)
arithmetic sum formula:
Sn = (a1 +
+ an)
geometric sum formula:
az (1 - p)
S =
1-r
Answer:

Answers

Answer:

2440

Step-by-step explanation:

an=115

a=7

Sn=n/2(a+an) [Where n is no. of terms]

   = 40/2(7+115)

   = 20(122)

   = 2440

The base of the pyramid is a regular hexagon. Find the volume of the pyramid. Round your answer to the nearest tenth.

pls pls help answer

Answers

Answer:

216.5

Step-by-step explanation:

Pyramid volume=(area of the base)*(height)/3

Pyramid volume=(area of hexagon with side 5)*(height)/3

Area of hexagon is 3*sqrt(3)*(side)^2/2=75*sqrt(3)/2

Pyramid volume=10*(75*sqrt(3))/(2*3)=216.5

Please find the missing number for the surface area. I will mark brainiest if correct. 2.

Answers

It is 18 because it is a square so all the sides have to be the same so that would make it 18

Simplify the square root of –75

Answers

Answer:

5 i √ 3

Step-by-step explanation:

Find the missing side of triangle

Answers

Answer:

x = 50

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other two sides , then

x² = 48² + 14² = 2304 + 196 = 2500 ( take the square root of both sides )

x = [tex]\sqrt{2500}[/tex] = 50

48^2 + 14^2 = x^2
X= 50

The lengths of the sides of a triangle are 4,5 and 6 if the length of the longest side of a similar triangle is 15,what is the length of the shortest side of the triangle

Answers

Answer:

The length of the shortest side of the triangle is 10.

Step-by-step explanation:

Given that the lengths of the sides of a triangle are 4, 5 and 6, if the length of the longest side of a similar triangle is 15, to determine what is the length of the shortest side of the triangle, the following calculation must be performed :

6 = 15

4 = X

4 x 15/6 = X

10 = X

Therefore, the length of the shortest side of the triangle is 10.

Other Questions
The base of a triangular prism has an area of 35 m2. This triangular prism has a height of 7 m. What is the volume of this triangular prism? Match the following description with the appropriate type of respiration: a. occurs in the mitochondria b. resting muscles depend on this type of respiration c. lactic acid builds up in muscle fibers d. rapidly produces ATP for short time periods e. produces large quantities of ATP but takes longer to synthesize1. anaerobic respiration 2. aerobic respiration Four wires (red,green, blue and yellow) need to be attached to a circuit board. A robotic device will attach the wires. The wires can be attached in any order, and the production manager wishes to determnine which order would be the fastest for the robot to use. Required:Use the multiplication rule of counting to determine four choices for the first wire, three for the second wire, two for the third and only one for the fourth. what is bigger 35% or 2/5 Giving mouth-to-mouth resuscitation to a drowning victimLow riskO High risk in huckleberry finn when does he find a call to adventure You go fishing and obtain some lead weights for your trip. Since you are the smartest chemistry studentin the land, you know that lead's density is 11.34 g/mL. If there are 50 weights in a 250. mL box, what isthe mass of each weight?Pls show work if u can! The Maryland General Assembly is divided into the senate and theA. congressO B. board of public worksO C. house of delegatesO D. house of representativesSUBMIT 4571119?a. 41b. 35c. 23d. 29 1.Convert 340 cm into m *(answer=0.34m)2.What is the weight of potatoes of mass 75kg on the surface of the earth? *(ans=735 N) [g=9.8 m/s^2 [g=9.8 m/s^2]3.The weight of body is 420 N.Calculate its mass. *(42.857 kg)*Answers are all given so i just need the process please (i will mark you brainliest please.. Tinh thn yu nc ca nhn dn ta.Gii thiu i nt v tc gi v hon cnh sng tc ca tc phm. 1) Esses textos tm em comum o fato de * 1 ponto A) serem textos informativos. Ambos os textos esto centralizados em fatos/acontecimentos. B) serem textos argumentativos. Ambos os textos narram histrias envolvendo personagens. C) serem textos epistolares. O TEXTO 01 uma carta pessoal e o TEXTO 02 uma carta aberta. D) serem textos epistolares. O TEXTO 01 uma carta aberta e o TEXTO 02 uma carta pessoal. 2) No TEXTO 01, a expresso "Muito cordialmente," utilizada na despedida tpica da linguagem * 1 ponto A) cientfica. B) coloquial. C) formal. D) regional. Assertion: Atomic mass of aluminium is 27 Reason: An atom of aluminium is 27 times heavier than 1 / 12th of the mass of the C 12 atoms. How successful have conservatives been in achieving their goals of defending "American" culture against an influx of immigrants in the 21st Century? WRITINGA storyWrite a story. The story must end with the words:'Thanks, you saved my life!'Write 120-150 words. Assuming a specific single project with normal cash flows and a cost of capital of 10%, which of the following statements will ALWAYS be true?a. If NPV > 0 at the stated cost of capital (i.e., 10%), then NPV will also be > 0 at a cost of capital of 12%.b. If NPV > 0, then Profitability Index > 0.c. If NPV > 0, then Payback Period > 0.d. If NPV > 0, then a simple sum of the cash inflows of the project will always be greater than the cost of the project (i.e, the year 0 cash flow).e. If NPV > 0, then IRR > 0. In how many ways can 10 people be divided into three groups with 2, 3, and 5 people respectively? The question is in Japanese, moderators please don't delete it..! Harry said to Marge, "I have a ring once owned by Marilyn Monroe. Would you like to buy it for $500?" Marge pays for the ring, but the next day a friend tells her that Harry had recently purchased the ring at a local department store. Marge enjoys wearing the ring and wears it constantly for twelve months. Finally, she goes to Harry and says, "Here is the ring you lied about. Give me my $500." Most likely Marge will: Which of the following is NOT a characteristic of an effective leader? A. willingness to sacrifice B. commitment to education and learning C. desire to serve D. a focus on self-preservation