help me with this please and thank you
Step-by-step explanation:
a.
1) if A(2;9) and B(6;17), then it is possible to make up the equation of the required line according
2) the rule:
[tex]\frac{x-X_A}{X_B-X_A} =\frac{y-Y_A}{Y_B-Y_A};[/tex]
3) if to substitute the coordinates of A&B into the rule, then:
[tex]\frac{x-2}{6-2}=\frac{y-9}{17-9}; \ => \ \frac{x-2}{4}=\frac{y-9}{8}; \ => \ \frac{x-2}{1}=\frac{y-9}{2};[/tex]
or 2x-y+5=0 or y=2x+5 (slope-interception form).
P.S. note, the suggested solution is not the shortest one. This task can be solved if to make up the system of two equations in slope-interception form.
b. see the attached picture (the required line is red colour);
c. f(4)=13. Short explanation: if to substitute the coordinate x=4 into the equation y=2x+5, then y=2*4+5=13;
d. the domain is (-∞;+∞), the range is (-∞;+∞).
Suppose that $1,000 is invested at an annual interest rate of 8%, compounded quarterly. Find the
the total amount in the account after 10 years if no withdrawals are made.
What is the other endpoint of the segment with midpoint (-3) and endpoint (-7)?
O 4
O 1
0-11
0-5
Answer:
1
Step-by-step explanation:
From -3 to -7 the distance is 4 (-3--7=4). Midpoint means that point -3 bisects the segment into two equal parts. So, the other endpoint is 4 units away from -3. Since -3+4=1, 1 is answer.
What’s 9x12 divided by 6 x8
Answer:
60
Step-by-step explanation:
9*12=108
6*8=48
108-48=60
Robert is making a photo album. 12 photos fit on a page. How many pages will he need for 432 photos?
Answer:
12 photos fit on page = 1
432 photos fit on page = 432/12
= 36 pages
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
Answer:
36 pages
Step-by-step explanation:
There are 12 photos per page, and Robert has 432 photos. So, we can divide the number of photos he has by the number of photos that fits on each page. By doing so, you'll calculate the number of pages he needs. This calculation is shown below:
[tex]\frac{432 \ photos}{1} *\frac{1 \ page}{12 \ photos} = 36 \ pages[/tex]
You can see that the units for photos cancel out, resulting in units for pages.
So, Robert will need 36 pages in order to fit all 432 photos into his photo album.
PLEASE ASAP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!11
Answer:
3/2
Step-by-step explanation:
Finding the slope of a line on a graph is easier if you can identify places where the line crosses grid intersections. We see two of those to be ...
(4, 1) and (6, 4)
The second of these points is 4-1 = 3 grid squares higher than the first point. It is also 6 -4 = 2 grid squares to the right. The slope is the ratio of these values:
slope = "rise"/"run" = 3/2
The slope of the graphed line is 3/2.
can y'all help me with this. Thanks
Answer:
x = 64°
Step-by-step explanation:
180 makes up a trinagle. For this triangle, two sides aproaching 52 degrees. Meaning The other two angles will be the same. So, 180-52 to get 128. Then, because there is 2 needing an angle, then you divide 128 by 2 to get 64. 64° for each side thats not labeled. So the answer is, x=64°
The Stock Market Nadia is a stockbroker. She earns 13% commission each week. Last week, she sold $5,300 worth of stocks. How much did she make last week in commission? If she averages that same amount each week, how much did she make in commission in 2011?
Answer:
34
Step-by-step explanation:
The value of an autographed baseball card increased from $39 to $65.
What is the percent increase in value of the baseball card? Round to the nearest hundredth of a percent.
Answer: The percent of increase is 66.67%.
Step-by-step explanation:
Find the percent of increase of baseball cards.
Step 1: Subtract the starting value from the final value.
65 - 39 = 26
Step 2: Take the value you get and divide it by the starting value.
26 ÷ 39 = 0.666667
Step 3: Multiply what you get by 100.
0.666667 × 100 = 66.6667
Step 4: Round what you get the nearest hundredth of a percent.
66.6667 → 66.67%
Prompt: It's 5:30 AM, and as a helicopter pilot you've just been told there's an injured man on a boat you need to get to a hospital . The boat is going towards where you are a at 10 mph, but is currently 400 miles away. You need to get him as soon as possible, but you only have 6600 lbs of fuel in your helicopter, which burns 1200 lbs per hour and always travels at 150 mph. Also, you need to account for 30 min of fuel spent hovering over the boat to get the man into the helicopter and 1 extra hour of fuel due to helicopter standards. Therefore, when can you depart your station to get the man as soon as possible?
Answer:
leave at 1:30 PM
Step-by-step explanation:
10 mph 40 hours 6600/1200 5.5 hr 40/15 2 hr 40 mins 5.5 -.5 =
After two hours there at the meeting place, the helicopter must depart at 1:30 pm to join the boat.
What is Speed ?Speed is the rate an object travels in a predetermined period of time.
Its speed is expressed in km/h.
As per the given information in the question,
If the boat goes to the station ,
Speed of the boat = 10mph
it will take 400/10 = 40 hours.
The helicopter has, 6600 lbs of fuel.
It will take 30 minutes to clean the fisherman and an additional hour to get enough fuel.
1.5 × 1200 = 1800 lbs of fuel.
So, the amount of fuel helicopter now has
6600 - 1800
= 4800 lbs of fuel.
This will allow it to fly for 4 hours as:
4800 lbs/1200 lbs per hour, It can only travel at 150 mph for two hours one way.
= 300 miles distance from the station.
The boat is available at 400 miles, and its maximum flight time at 150 mph is two hours going one way, which is 100 miles from where it is now,
So,
100/10 = 10 hours, the journey to the meeting location will take the boat ten hours.
To reach the boat, which will require 10 hours, the chopper must take off after 8 hours since it will take 2 hours.
So 8 hours of time from 5:30 am will be equal to 1:30 pm.
To know more about Speed:
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Your question seems incomplete, probably the complete question is:
A crewman on a fishing boat was injured and needs to be treated in a hospital right away. You are with a Coast Guard station nearest to the boat, but you are 400 miles away. The boat travels at a rate of 10 mph. It is 5:30 A.M. You have a helicopter that can hold 6600 lbs. of fuel, consumes 1200 pounds of fuel an hour, and travels 150 mph. However, you need to save a minimum of 1 hour worth of fuel for landing problems at the Coast Guard station, and you need to have 30 minutes’ worth of fuel to remove the crewman from the boat. You have to create a plan for extracting the crew member. When would you leave and why? Fully explain your answer.
Bobby and Garnetta thought of four consecutive odd integers such that 5 times the sun
of the first and the third was 22 greater than the product of 8 and the sum of the second
and the fourth. Find the numbers.
The four consecutive odd numbers are - 11, - 9, - 7, - 5.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Let the four consecutive integers be n, (n + 2), (n + 4), and (n + 6).
Given, 5 times the sum of the first and the third was 22 greater than the product of 8 and the sum of the second and the fourth.
∴ 5(n + n + 4) = 8(n + 2 + n + 6) + 22.
5(2n + 4) = 8(2n + 8) + 22.
10n + 20 = 16n + 64 + 22.
10n - 16n = 86 - 20.
- 6n = 66.
n = - 11.
So, The numbers are - 11, - 9, - 7, - 5.
learn more about numerical expressions here :
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i think i did this problem wrong can someone help
Total area of the rectangle = 12 × 24 = 288
The non-shaded regions make up a semicircle with radius 12, so the non-shaded region has area = 1/2 × π × 12² = 72π
The area of the shaded region is then 288 - 72π.
The probability of picking a point in the shaded region is then
(288 - 72π) / 288 ≈ 0.215
write an equation in
Slope-int form
m=9, b=4
Answer:
y=9x+4
Step-by-step explanation:
9 is the slope and 4 is the y-intercept, or the "b"
A bakery can make 4 cheesecakes for every 5 blocks of cream cheese. Which table represents the relationship between the number of cheesecakes the bakery makes and the number of blocks of cream cheese the bakery uses?
Answer:
where is the picture of the tables?
Step-by-step explanation:
The quotient of 2 and the sum of a number and 1
Answer:
2/(x + 1)
Step-by-step explanation:
y=1/3-1/2x what is the slope and y-intercept
Answer:
slope is -1/2 and y- intercept is 1/3
Step-by-step explanation:
use y=mx+b
m=slope
b= y-intercept
rearrange your equation
y=1/3-1/2x
y=-1/2x+1/3
Rewrite the 4cm: 8km as a ratio in the form 1: n
Answer:
1 : 200000
Step-by-step explanation:
4 cm ⇒ 8 km
4 cm ⇒ 8 × 1000m
4cm ⇒ 8000m
4 cm ⇒ 8000 × 100 cm
4 cm ⇒ 800000cm
4 : 800000
[tex]\frac{ 4 \:\::\:\ 800000}{4}[/tex]
1 : 200000
Therefore,
1 : n
1 : 200000
Hope this helps you.
Let me know if you have any other questions :-)
Each of the 256 solid-colored marbles in a box is either blue, green, or purple. What is the ratio of the number of blue marbles to the number of purple marbles in the box
Solve for b: A = 1 2 (a + b)h.
Answer:UwU
Step-by-step explanation:
Find the sum of a third of (a+b) and a fifth of (a-b)
Step-by-step explanation:
As per linear equation, the required sum is [tex]\frac{2(a+4b)}{15}[/tex].
What is a linear expression?A linear expression is an expression where the variable has the highest power of 1.
Given liner expression is:
[tex]\frac{a+b}{3}-\frac{a-b}{5}\\= \frac{5(a+b)-3(a-b)}{15}\\= \frac{5a+5b-3a+3b}{15}\\= \frac{2a+8b}{15}\\= \frac{2(a+4b)}{15}[/tex]
Therefore, the required sum is [tex]\frac{2(a+4b)}{15}[/tex].
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Y=2x-1 và y=3x+2 khi
Answer:
x = 3, y= 5
Step-by-step explanation:
y = 2x - 1 -----(1)
y = 3x + 2 ----(2)
From (1)
2x - y = 1 ----(3)
From (2)
3x - y = -2 -----(4)
Solving (3) and (4) simultaneously
2x - y = 1
- 3x - y = -2
___________
x = 3
subst. x = 3 in (1)
2(3) - y = 1
6 - y = 1
y = 6-1
y = 5
Hence, x = 3, y = 5
ABC is a straight line.
The length AB is five times the length BC .
AC =90 cm.
Work out the length AB .
(3 marks)
Answer:
75 cmStep-by-step explanation:
According to segment addition postulate we have:
AC = AB + BCWe are given:
AB = 5 BCThen substitute values into the first equation:
AC = 5 BC + BC90 = 6 BCBC = 90/6 = 15 cmFind the length of AB:
AB = 5*15 cm = 75 cmThe farmer bought 2.5 sacks of fertilizer for $2.20 per sack and 4.5 sacks of essential soil for $1.80 for each sack from the supplier. If he gave a $15 bill to the supplier, how much would his change be?
Answer:
$0.50 or 50 cents
Step-by-step explanation:
If he bought 2 and a half sacks of fertilizer for $2.20 that means u multiply 2.20 2 and a half times so first lets divide 2.20 by 2 to find the solution of the "0.5" which is 1.10
2.20 times 2 equals 4.40 then we add the 1.10 so 4.40 plus 1.10 is $5.50.
For the 4.5 sacks of 1.80 we will do the same technique half o 1.80 is 90 cents so 0.90 and 4.5 times 1.80 is $8.10 we then add the 90 cents making it $9.
We then add the 2 totals of $9 and $5.50 which equals $14.50, the change would be 50 cents which in decimal form would be $0.50
law of indices , show working
1. 10^8 × 10^4
2. (11^5)^4
3. 8^6 ÷ 8^3
4. (12^2) × 12^4
5. (13^4) ÷ 13^5
6. (5^2 × 5^3) ÷ 5^4
7. 18^4 ÷ 18^6
8. (19^2)^4 ÷ 19^8
Answer:
Below.
Step-by-step explanation:
1. 10^8 × 10^4 = 10(8+4) = 10^12.
2. (11^5)^4 = 11^(5*4) = 11^20.
3. 8^6 ÷ 8^3 = 8^(6-3) = 8^3.
4. (12^2) × 12^4 = 12^6.
5. (13^4) ÷ 13^5 = 13^(4-5) = 13^-1.
6. (5^2 × 5^3) ÷ 5^4 = 5^5 / 5^4 = 5.
7. 18^4 ÷ 18^6 = 18^-2.
8. (19^2)^4 ÷ 19^8 = 19^8 / 19^8 = 18^(8-8) = 18^0 = 1.
Ashley plays in the band. She brought eighty-four snacks to school for her band friends and she has twenty-one friends. How many snacks does each person receive?
Answer:
B. 4 steps
Step-by-step explanation:
[tex]84 \div 21 = 4[/tex]
just divide total number of steps by number of friends to derive the answer.84 snacks
21 friends
to find:how many snacks each of her friend gets.
solution:[tex] \frac{84}{21} [/tex]
[tex] = 4[/tex]
hence, each of her friend will get 4 snacks.
answer= option B
divide 24 apples between Roopa and Amita in ratio 5:7
Answer:
Roopa: 10
Amita: 14
Step-by-step explanation:
5x+7x=24
12x=24
x=2
5x=10
7x=14
Answer:
Step-by-step explanation:
5/7*24
=5/7*24
=17.14 apples
Pls help me i dont really understand
Answer:
y - 5
12x + 18y
Step-by-step explanation:
6) five less than y
y - 5
7) six times the quantity of two x plus 3 y
2x + 3y
six times the above exp
6(2x + 3y)
= 12x + 18y
How does simple
interest show proportional reasoning and
relate to the percent equation?
Answer:
Ratios are proportional if they represent the same relationship. One way to see if two ratios are proportional is to write them as fractions and then reduce them. If the reduced fractions are the same, your ratios are proportional.
Step-by-step explanation:
negative three over eight divided by five over nine..
Answer:
- 27/40
Step-by-step explanation:
A line containing the points (x, 1) and (2, 4) has a slope of 1/4. Find the value of x.
Answer:
Step-by-step explanation:
Givens
m = 1/4
y2 = 4
y1 = 1
x2 = 2
x1 = x
m = (y2 - y1) / (x2 - x1)
Solution
1/4 = (4 - 1) / (2- x) Simplify
1/4 = 3 / (2 - x) Cross multiply
2- x =12 Subtract 1 from both sides
-x = 12 - 2
-x = 10 Multiply by -1
x = -10
Check
1/4 = (4 - 1) / (2 - - 10)
1/4 = 3/(2 + 10)
1/4 = 3 / 12
1/4 = 1/4
Odd as the answer is, it does check.
