The equation of the line with the points (-21, -10) and (-74, 11) is
y = (-/12)x - 26.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
(-32,-10) and (-74,11)
The equation of a line is given as,
y = mx + c
m = (11 + 10) / (-74 + 32)
m = 21 / -42
m = -1/2
Now,
(-32, -10) = (x, y)
-10 = (-1/2)(-32) + c
-10 = 16 + c
c = -10 - 16
c = -26
Now,
The equation of the line is y = (-/12)x - 26.
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The speed of sound is approximately 720 miles per hour at sea level. At this rate, how many feet does it travel in 20 seconds? Use 1 mile=5280 feet.
Answer: 21120 feet.
Step-by-step explanation: We start with the fraction 1/180, found by putting 20 seconds over one hour. Then, we need to get the amount of miles the speed of sound travels in 20 seconds. We can use the fraction above as a ratio to get it. 720/1 x 1/180 = 4 miles. Then, we'll just do 4 times 5280, which is 21120.
The distance travelled by sound in 20 seconds is 21120 feet.
What is speed?In unit time the distance covered by any object is called speed.
In mathematical term, Speed is express as S=D/T,
where S=speed, D=distance, T= time.
Given that,
The speed of sound = 720 miles per hour.
According to given condition,
1 hour = 720 miles
Since, 1 hour = 60 minutes
60 minutes = 720 miles
1 minute = 12 miles.
1 minute = 60 seconds
60 second = 12 miles
1 second = 12 / 60 = 1/5 miles
20 second = 20 / 5 = 4 miles
According to given condition,
1 mile = 5280 feet
Therefore,
20 second = 5280 x 4 = 21120 feet
The distance travelled in 20 seconds is 21120 feet.
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A carpet measures 7 meters 3 decimeters in length and 4 meters 2 decimeters in width. What is its area in square meters?
Answer:
C
Step-by-step explanation:
change decimetres into metres
length - 7.3m
Width - 4.2m
to find an area, do length times width
7.3 x 4.2 = 30.66 square metres
I hope this helped :)
Answer:
C. 30.66 square meters
Step-by-step explanation:
The equation for area is A = L × W
L = length
W = width
Because a demimeter is 1 tenth of a meter your new measurements are 7.3 and 4.2.
multiply the measurements to find the area of 30.66² meters
Easy maths question 20 points and brainliest
Answer:
a = 2; b = 1 and c =3
Step-by-step explanation:
2(q +p) = 1 + 5q
2q + 2p = 1 + 5q
2p = 1 + 3q
2p - 1 = 3q
[tex]\frac{2p -1}{3} = q[/tex]
What should a bank statement include
⇒
A bank statement is a list of all transactions for a bank account over a set period, usually monthly. The statement includes deposits, charges, withdrawals, as well as the beginning and ending balance for the period.
The top of a bank statement generally shows the name of the account holder along with sensitive information such as bank account number and branch number. It also contains a summary table that shows the time period, opening balance, deposits, withdrawals, and closing balance.
- BRAINLIEST answerer
Determine the percentage of the square that belongs to each of the four regions. (image included)
help!!
Step-by-step explanation:
maybe you can try to measure each of the ways maybe and you can get the equation
five times a number increased by seven is equal to forty-seven what is the number
Answer: The number is 8
Please mark brainliest
Step-by-step explanation:
8 is the value of the unknown number 'x' from the equation 5x + 7 =47.
What is linear equation?
" Linear equation is defined as the algebraic expression which has highest power of the given variable equals to one."
According to the question,
'x' represents the unknown number.
As per the condition given linear equation we get,
5x + 7 = 47
Add (-7) both the sides
5x + 7 + (-7) = 47 + (-7)
⇒5x = 40
Divide by 5 both the sides we get,
(5x) / 5 = 40 / 5
⇒ x = 8
Hence, 8 is the value of the unknown number 'x' from the equation 5x + 7 =47.
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please help asap…………
Answer: linear
Step-by-step explanation:
can someone please help
E, C, F are the answers.
GHOST FACE CULT!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! help me
Answer:
it would be A
Step-by-step explanation:
because 4x-7=1
x=2
4(2)-7=1
8-7=1
I hope this helps you
There were 280 members in the ski
club last year. The membership
DECREASED by 25%. How many
total members are in the club now?
Answer:
210
Step-by-step explanation:
25% can also be written as .25. If you multiply .25 by 280 you get 70. 70 is 25% of 280. If you take 70 from 280 you get 210.
If the height of a cone is 7.5 cm and the radius is 2 cm, find the approximate volume of the cone.
WILL MARK BRAINLIEST AND IS WORTH 100 POINTS
Answer:31
Step-by-step explanation:
BD bisects ABC. m ABC = (5x – 4) CBD = (3/2x+21) what's kind if angle is ABC
Answer:6 this is the answer
steve has 18 more dollors than joe. what the algebraic expression that represents the amount of dollors steve has
Answer: s = j + 18
Step-by-step explanation:
Let's say Steve's money can be represented as s, and Joe's money as j. Because Steve has 18 more dollars than Joe, simply add 18 to Joe's money to solve for s.
Hope it helps :) and let me know if you want me to elaborate.
Find the measure of angle x in the figure.
Answer:
8
Step-by-step explanation:
We know that angles in a triangle add up to 180, so:
5x-60+2x+40+3x-80=180
Simplify
10x-100=180
Solve
Subtract 100 from both sides
10x=80
Divide 80 by 10 to find x
x=8
help me find a please
Answer:
Ok, so the total answer in going to be 180 degrees. You have that 180 degrees between the two angles divided by 5. Once you divide 180 by 5, you will get the answer that is A=36
how do you convert decimal to fraction
you convert decimals to fractions by how much more numbers are after the point the more 0Answer:
for example 0.2=2/10 and0.25= 25/100
and if a zero is infront of the number like this 0.02 then it will be the same except it will be 2/100
Step-by-step explanation:
Find the number whose 1/3 part exceeds its 1/4 part by 12
Answer:1/5
Step-by-step explanation:
not entirle sure but yeah
Can anyone convert the following to an index expression:'
3=log6(216)
9514 1404 393
Answer:
6 = ∛216
Step-by-step explanation:
The equivalent exponential form is ...
6³ = 216
Then the index form is ...
6 = ∛216
find the measure of each angle indicated.
HELP ME ANSWER THIS PLEASE
Answer:
I think it is -162
Step-by-step explanation:
the ramp measures 20 feet long and is 5 feet from the ground what is the slope of the ramp?
HELP PLEASE FAST!!!!
Answer:
Domain = (-5,1,3)
Range = ( -4,-2,0,2,4)
This is not a function
Step-by-step explanation:
Domain = (-5,1,3)
Range = ( -4,-2,0,2,4)
Since one x value gives two points for y
this is not a function
Actually the answer is 7560.Because 3 1/2 X 2x4 X 4, 4 1/2 X x5 X 1=7560
Answer:
k
Step-by-step explanation:
10495 divide 530 x 48939 - 283 + 38920 =?
Answer:
1007721.54
Step-by-step explanation:
You first divide 10495 divide 530 which equals 19.8. Then you multply it by 48939 and get 969084.53. Then you add 38637 to 969084.53. Coulda just used a caculator.
7.4{5[2 +16 ÷ (4× 2) − 3]− 4}− 24 =
Two parallel chords PQ and MN are 3 cm apart on the same side of a circle where PQ = 7 cm
and MN = 14 cm. Calculate the radius of the circle.
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what are possible ratios for 16 to 32
Answer:
1:3
Step-by-step explanation:
To simplify the ratio 16:32, we find the greatest common divisor of 16 and 32, and then we divide 16 and 32 by the greatest common divisor.
The greatest common divisor that you can use to simplify 16:32 is 16. Which means the answer to ratio 16:32 simplified is: 1:2
Hope it helps
Solve the equation the square root of the quantity x plus 4 minus 3 equals 1 for the variable. Show each step of your solution process. (10 points) SOLVE FOR X
x + 4 - 3 = 1
x + 1 = 1
x = 0
Answer:
x = 8
Step-by-step explanation:
√x + 4 - 3 = 1
1) Move constant terms to the opposite side of the equation: √x + 4 = 1 + 3
2) Simplify the right side: √x + 4 = 4
3) Now square both sides to eliminate the square root: (√x + 4)^2 = 4^2 (x + 4) = 16
4) Move the constant term to the other side: x + 4 = 16 – 4
5) Simplify the right side: x + 4 = 12
6) Move constant side to the other side: x = 12 – 4
7) Finally, after simplifying the right side again, you get: x = 8
Therefore, the solution to the equation √(x + 4) - 3 = 1 is x = 8.
Five more than seven time a number is ninerty-six.what is the number?
Answer:
5x + 6 ≥ 21
Step-by-step explanation:
Answer:
13
Step-by-step explanation:
How can you write and evaluate numbers with exponents?
Answer:
an exponent is the small number written above and to the right of a number
on a keyboard it is written like (^) that
ex. If you were saying 2 to the power of 2, you would write it as 2^2
when you see that number, that number is telling you how many times you multiply that number by itself, ex. 2^2 is telling you to multiply 2 by itself
Step-by-step explanation: