Segment CD is shown on the graph. Which shows how to find the y-coordinate of the point that will divide CD into a 5:2 ratio

Answers

Answer 1

Answer:

C. y=[5/7](3-1)+1

Explanation:

Segment CD is shown on the graph. Which shows how to find the y-coordinate of the point that will divide CD into a 5:2 ratio

A. y=[5/2](3-1)+1

B. y=[5/2](3+4)-4

C. y=[5/7](3-1)+1

D. y=[5/7](3+4)-4

The coordinates of point C is (-4,1) and the coordinate of point D is (3,3)

The formula for dividing a line XY in ratio a:b, with point X at (x₁, y₁) and Y at (x₂, y₂) is given by the equation:

[tex]y=\frac{a}{a+b} (y_2-y_1)+y_1[/tex]

Point C is (-4,1) = (x₁, y₁), therefore x₁ = -4 and y₁ = 1. point D is (3,3), therefore x₂, = 3 and y₂ = 3.

The ratio = 5:2, therefore a= 5 and b = 2.

Substituting into the formula gives:

[tex]y=\frac{a}{a+b} (y_2-y_1)+y_1\\y=\frac{5}{5+2} (3-(1))+(1)\\y=\frac{5}{7} (3-1)+1[/tex]


Related Questions

What are the four main reasons as to why, despite having an abundance of minerals and natural resources, Pakistan has been unable to realize its potential and has not been able to succeed like other countries having similar resources? (its argent)

Answers

Answer:

In the Explanation

Explanation:

History of growth in Pakistan is patchy.

GDP growth rate remained near 7% during 1958–68.

Then Pakistan faced debacle of East Pakistan. It was the failure of the political system that we remained unable to resolve political differences by dialogue.

From the day one, Pakistan faced real or projected existential threat. Leaders from India like Patel prophesied that Pakistan wouldn’t withstand the looming catastrophic challenges to her economy, defence and internal linguistic & political differences.

Water from Eastern Rivers was stopped from headworks situated in India. Pakistan was put to face starvation. Pakistan lost Quaid e Azam the visionary leader and his successors were not competent enough to steer the ship.

Constitution couldn’t be framed until 1956 and basic issues of Provincial Autonomy and national language couldn’t be resolved. Pakistan had no industrial base and faced severe food shortages and essential commodities. Around eight million refugees were in camps with no assets and livelihood.

Gradually Pakistan rose from shambles. GDP growth rate remained fluctuating and especially from 1970 onward till 2020 Pakistan’s GDP growth remained much lowere than India, China, Korea, Vietnam etc and even Bangladesh.

PAKISTAN’S ECONOMIC GROWTH 1972-2010

Pakistan’s average annual real GDP Growth in the period 1972 to 2010 is about 5.2 percent by contrast the average annual real GDP growth in the period 1980 to 2008 was 9.9 percent for China and 6.4 percent for India.

Pakistan’s Real GDP Growth Rates and Net Current Account as Percentage of GDP

Democratic values couldn’t gain foot. USA always encouraged dictatorships in Pakistan whenever there was a political and strategic expediencies in the region. To use Pakistan’s strategic location to defeat Russia in Afghanistan and contain communism in Cold War era USA encouraged dictatorships in Pakistan to deal affairs with one man and make Army to Army collaboration easy and smooth.

But it is very strange to note that in the eras of three dictatorships Ayyoub 1958–59, Zia-Ul-Haq 1977–88 and Parwaiz Musharraf1999–2008 the growth rate remained around 7%. In democratic eras, it never rose above 5% rather it always remained less than 5%. Pakistan’s history is very strange and full of mysteries. It is a history of successes and failures.

We had a very strong inimical neighbour India. India always tried to put Pakistan in troubles. Instead of creating cordial relationships, India always depicted Pakistan as a rouge state forgetting that with such an inimical neighbourhood, India can’t reach the status of really welfare state. Pakistan, India and Bangladesh can do miracles. They had the potential much more than China. China was a poor country in 1947. If Pakistan couldn’t gain the full benefits of her resources, India is much behind her actual potential.

It is an era of friendships and trade. China, India, Pakistan with other South & South Eastern countries in Asia can lead the world if they stop playing in the hands of USA. If Pakistan was wrong to stand with USA, how India would be considered on the right side gain benefits for playing a subordinate role in India-Pacific Policy of USA. I have stated more than five reasons. In short:

1: We couldn’t resolve our issue of Provincial Autonomy and national language.

2: We couldn’t establish real democratic, participative and inclusive institutions

3: We couldn’t revamp our educational institutions to impart modern, scientific and innovative approach.

4: We spent much less to improve our human resource and couldn’t understand that a refined human resource earns much more than an ailing and illiterate person.

Yes, Pakistan has the potential but we are sluggish and lazy people to grab this opportunity. CPEC is a game changer. Pakistan must relocate Chinese industrial concerns at proposed eight Special Economic and Industrial Zones( SEIZs) on or near to CPEC. Pakistanis Governments failed criminally to expedite the establishment of these zones. Pakistan’s bureaucracy couldn’t resolve this complex issue. Identification of suitable industries that China will relocate, provision of requisite infrastructure and civic amenities, training of efficient man power especially youth without employment and which would require are challenges which we couldn’t resolve.

CPEC will be very useful for India as well. Pakistan provides land link to CARs& Afghanistan which are rich in energy resources India need badly. Without cheap energy resources, India can’t attain sustainable development goals.

Yes, Pakistan couldn’t rise to occasion like other similar countries. No plausible defence for it. No reason other than our laziness and sluggishness, lack of visionary leadership, perfect strategy and planning. But there is a silent resurrection. Pakistanis feel they are not where they should have been there. Destination is affront. Target is obvious. Dreams are vivid.

A secular government seeks to separate its decisions and policies from __________ influences. A. legislative B. religious C. political D. executive Please select the best answer from the choices provided. A B C D

Answers

Answer:

religious

Explanation: hope this helps ✊✊✊✊✊✊ (づ ̄3 ̄)

Answer:

It's B!

Explanation:

Took the test on edge :)

which best describes the difference between christianity and judaism

Answers

Answer:

they worship different god

dont mind this but here you go

Jews believe in individual and collective participation in an eternal dialogue with God through tradition, rituals, prayers and ethical actions. Christianity generally believes in a Triune God, one person of whom became human. Judaism emphasizes the Oneness of God and rejects the Christian concept of God in human form.

Other Questions
A well-known industrial firm has issued $1,000 bonds that carry a 4% coupon interest rate paid semiannually. The bonds mature 20 years from now, at which time the industrial firm will redeem them from $1,000 plus the terminal semiannual interest payment. From the financial pages of your newspaper you learn that the bonds may be purchased for $715 each ($710 for the bond plus a $5 sales commission). What nominal annual rate of return would you receive if you purchased the bond now and held it to maturity 20 years from now Nationalism led to major conflicts following world war 1 Which line of code will only allow a non-decimal point to be stored in a variable? candyCost = float(input("How much is the candy?")) candyCost = input("How much is the candy?") candyCost = int(input("How much is the candy?")) candyCost = str(input("How much is the candy?")) A student working on their science experiment places four potato squares into solutions of Iodine and measures how far the Iodine diffuses into the potato. The measurements are: 2.1 mm, 1.8 mm, 2.3 mm, and 2.2 mm. What is the average diffusion distance? A circuit contains two elements, but it is not known if they are L, R, or C. The current in this circuit when connected to a 120-V 60 Hz source is 5.3 A and lags the voltage by 65.Part A. What are the two elements? Part B. What are their values? Express your answer using two significant figures which of the following is a energy consuming process a. excretion b. anabolism c. both a and b d. catabolism A 13.0-L helium tank is pressurized to 26.0 atm. When connected to this tank, a balloon will inflate because the pressure inside the tank is greater than the atmospheric pressure pushing on the outside of the balloon. Assuming the balloon could expand indefinitely and never burst, the pressure would eventually equalize causing the balloon to stop inflating. What would the volume of the balloon be when this happens? Assume atmospheric pressure is 1.00 atm. Also assume ideal behavior and constant temperature. i got 338L for he whole thing but that is the volume of the entire sample of helium. But you need to consider that 13.0 liters of that is still in the 13.0-L tank. A helium tank is able to inflate balloons if the inside pressure is greater than the atmospheric pressure. can you explain how to do this Determine the value of the missing exterior angle. options: A) 104 B) 256 C) 72 D) 92 The Security Configuration Wizard saves any changes that are made as a __________ security policy which can be used as a baseline and applied to other servers in the network. a. user- or server-specific b. port- or program-specific c. role- or function-specific d. file or folder-specific I think of number. Add 2. Then Multiply it by 6. After that I square it. Assume the number as x. Write the correct algebraic form. What activity level should participants be in when exercising in their target heart rate zone 5.The total length of 2 pieces of rope is108cm. If one piece is 18cm shorter, what isthe length of the longer piece? Which of the following groups founded Harvard University? A- the pilgrims B- the separatists C- the puritans D- the anglicans ASAP _______ had developed a democratic political system, which all citizens were able to vote on laws and for elected officials. Which of the binomials below is a factor of this trinomial?X2-16x + 28O A. x+7O B. x2 + 7O c. x+4O D. X-14 Which detail from the BEST reveals that the tarcliraptor is not what Cyprus and Lutra has expected What is the product?112642783063278 3066478 30632391566439 30 What is the decimal multiplier to decrease by 1.7%? In what ways, according to David Ramsay, does the formation of governments in the United States differ from precedents in other times and places? A portfolio consists of $13,600 in Stock M and $19,400 invested in Stock N. The expected return on these stocks is 8.10 percent and 11.70 percent, respectively. What is the expected return on the portfolio