Find the slope of the line that passes through the points given in the first column and match them with the appropriate result. (10,7) and (1,2)\left(10,7\right)\ and\ \left(1,2\right)(10,7) and (1,2)
Answers
Answer:
Step-by-step explanation:
1) The slope of line with the coordinate points (10, 7) and (1, 2) is [tex]\frac{5}{9}[/tex].
2) The slope of line with the coordinate points (9, 9) and (1, 16) is [tex]-\frac{7}{8}[/tex].
3) The slope of line with the coordinate points (9, 3) and (2, 1) is [tex]\frac{2}{7}[/tex].
4) The slope of line with the coordinate points (8, 8) and (1, 2) is [tex]\frac{6}{7}[/tex].
The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The formula to find the slope of a line is slope = [tex]\frac{(y_2-y_1)}{(x_2-x_1)}[/tex]
From the given table, we have
1) The coordinate points are (10, 7) and (1, 2)
Here, slope [tex]=\frac{(2-7)}{(1-10)}[/tex]
[tex]=\frac{5}{9}[/tex]
2) The coordinate points are (9, 9) and (1, 16)
Here, slope [tex]=\frac{(16-9)}{(1-9)}[/tex]
[tex]=-\frac{7}{8}[/tex]
3) The coordinate points are (9, 3) and (2, 1)
Here, slope [tex]=\frac{(1-3)}{(2-9)}[/tex]
[tex]=\frac{2}{7}[/tex]
4) The coordinate points are (8, 8) and (1, 2)
Here, slope [tex]=\frac{(2-8)}{(1-8)}[/tex]
[tex]=\frac{6}{7}[/tex]
Therefore,
1) The slope of line with the coordinate points (10, 7) and (1, 2) is [tex]\frac{5}{9}[/tex].
2) The slope of line with the coordinate points (9, 9) and (1, 16) is [tex]-\frac{7}{8}[/tex].
3) The slope of line with the coordinate points (9, 3) and (2, 1) is [tex]\frac{2}{7}[/tex].
4) The slope of line with the coordinate points (8, 8) and (1, 2) is [tex]\frac{6}{7}[/tex].
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Related Questions
From 7x^2+5xy-3y^2 subtract the sum of 2x^2+3xy-5y^2 and x^2-7xy-4y^2
Answers
Answer:
4x^2 +9xy +6y^2
Step-by-step explanation:
Combine like terms. I find it useful to factor out the variable part of the expression so I can see what coefficients are being combined.
7x^2+5xy-3y^2 - (2x^2+3xy-5y^2 + x^2-7xy-4y^2)
= (7 -2 -1)x^2 +(5 -3+7)xy +(-3 +5 +4)y^2
= 4x^2 +9xy +6y^2
A school needs to buy new notebook and desktop computers for its computer lab. The notebook computers cost $225 each, and the desktop computers cost $250 each. How many total computers would someone buy if they get 19 notebooks and 12 desktop computers? How many total computers would someone buy if they get
n notebooks and
d desktop computers? (n+d)
Answers
Answer:
n=19
d=12
$225n+$250d=
$225(19)+$250(12)=
4275+3000
=7275
Step-by-step explanation:
help please 6(l+3)<3(2l+6)
Answers
Answer:
No solution
Step-by-step explanation:
Expand and simplify both expressions:
6l+18 < 6l+18
6l+18-18 < 6l+18-18
6l < 6l
0 < 0
Therefore, there is no solution
The height and age of
a child.
Student Recording Sheet
Is it positive correlation, No correlation , or negative correlation ?
Answers
Answer: positive correlation
Step-by-step explanation:
sorry if im wrong
can someone help me. these are due tonight.
Answers
Answer:
x = 4
Step-by-step explanation:
3x-4 = 8
3x = 12
x = 4
good luck
Answer:
x = 4
Step-by-step explanation:
3x - 4 = 8
3x = 8 + 4
3x = 12
x = 4
You guys are awesome with these questions I'm really struggling with this one p[lease help me out.
Answers
Try 12.
Hope it helps?
Answer:
12
Step-by-step explanation:
12 x 4 = 48
48 + 9 = 57
Giving brainliesttttttt
Answers
Answer:
I think it is the line D as a thought
I cannot figure this out. Any help would be appreciated.
Answers
90+x+15+3x+15=180
4x=60
X = 15
LMN = 15+15
LMN = 30
hopefully this is correct :)
Does anybody know how to does this pleaseee helppppp. The first 2 my teacher did them for me but I’m still confused pleaseee helpppp
Answers
Answer:
below
Step-by-step explanation:
A triangle can only be a triangle if the two shortest sides add up to be greater than the longest side.
For example on the first one, the segments 1 2 and 3 will not make a triangle as 1 + 2 = 3 and if the two smallest sides of a triangle are equal to the longest side it will not be a triangle at all.
So to make this easy, out of the three numbers given: add the two smallest numbers. This number has to be greater than the third number given, and it cannot be equal.
For question three: 3+9 = 12
And 12 is greater than 11, therefore this can make a triangle.
The graph shows how the number of hats in your collection increased since you began collecting 6 months ago. How many hats did you collect during the second month? Hat Collection A graph has time (months) on the x-axis, and total number of hats on the y-axis. Lines connect points (0, 0), (1, 3), (2, 5), (3, 8), (4, 9), (5, 10), (6, 12). hats
Answers
Answer:
Step-by-step explanation:
Two hats were collected in the second month (5-3) =2.
(10²)²
(EXPONENT FORM ONLY)
(i think it's 10⁴ but im not sure)
Answers
Answer: 10^4
Step-by-step explanation:
You can multiply the exponents to get 10^4.
What is the value of the expression below when z=
5?
5z - 4
Answers
Answer:
Well we’ll just substitute
So 5z-4
And z is 5
5*5-4
25-4=21
The value is 21
Given that(16 watermelons cost $48) which of these are equivalent ratios of number of watermelons to cost in dollars? Choose all that apply. (A) 16:48 B) 3:1 C 1:3 D 48:16 E) 3:9 le 5
Answers
Answer:
A, C, and E
Step-by-step explanation:
if 16 watermelons cost 48, then 1 watermelon costs 3$ meaning A C and E apply to that.
Im so confused of what to do?
if you're good at maths please help
with steps
Answers
Answer:
you need to show the number is prime
Step-by-step explanation:
To show 2^7 -1 is prime, you have to show it is not divisible by any prime less than its square root. That root is approximately 2^(7/2) = 2^3×√2 ≈ 11.3.
The primes of in that range are 2, 3, 5, 7, 11. The prime we're testing is ...
2^7 -1 = 128 -1 = 127
The sum of digits is 10, which is not a multiple of 3: not divisible by 3.
The units digit is 7, not 0 or 5: not divisible by 5.
The test for divisibility by 7 is to subtract twice the units digit from the rest of the number: 12 -2(7) = -2. This is not 0 or a multiple of 7, so 127 is not divisible by 7.
We know that 11² = 121, so 127 is not divisible by 11.
All of the tests for primality pass, so 2^7 -1 is a Mersenne prime.
_____
Additional comment
It is known that 2^n -1 being prime requires n to be prime. (The converse is not true: 2^11 -1 = 2047 = 23×89 is not prime.) The discovery of Mersenne primes is an ongoing process involving thousands of computers around the world. Only about 50 such primes are known.
You will notice that we have made use of some divisibility rules in order to simplify the process of dividing by small numbers. These can be helpful in many situations, so can be useful to learn.
What is 22.6% of 65
Answers
22.6/100 = 0.226
0.226 x 65 = 14.69
Answer:
14.69
Step-by-step explanation:
22.6% = 0.226
65 × 0.226 = 14.69
HEYYYY I NEED HELPPPP AS SOON AS POSSIBLE
Answers
half of the 40 is 20 so 3/2 of the area is 60
Can you help me, please?
Answers
Answer:
listen picture is not clear
EASY 25 POINTS
IF YOU GET IT WRONG I WILL NOT MARK BRAINLYEST
Answers
Answer: minimum: free
maximum: infinite
the sum of two numbers is 68. the larger number is 14 more than the smaller number. what are the numbers?
Answers
Answer:
The numbers are 27 and 41.
Hope you could get an idea from here.
Doubt clarification - use comment section.
Answer:
The numbers would be 41 and 27
Step-by-step explanation:
It would be 41 and 27 because the number we know is 64 so if you divide that by 2 you have 34 (34+34=68) and if you then take half of 14 (14 comes from this part of the question "the larger number is 14 more than the smaller number".) (14/2=7) 7 from one side and add it to the other side you get 41+27=68
(we can also fact check this because your smaller number 27 plus 14 equal 41, then and 41 plus 27 equals 68)
the Following table shows alexandra's investment options over the course of three years. Her initial investment was $1,000 . write one function for each option to describe the value of the investment f(n), in dollars, after n years.
Answers
The pattern in the given series of amount in the account are in the form of
arithmetic and geometric progression.
The function for Option 1 is; [tex]\underline{ f(n) = 1,100 + (n - 1) \cdot 100}[/tex]The function for Option 2 is; [tex]\underline{f(n) = 1,100 \times 1.1^{(n - 1)}}[/tex]Reasons:
The given table of values is presented as follows;
[tex]\begin{tabular}{c|c|c|c|}Number of years&1&2&3\\Option 1 (Amount in dollars)&1,100&1,200&1,300\\Option 2 (Amount in dollars)&1,100&1,210&1,331\end{array}\right][/tex]
In Option 1, the amount in dollars for each year has a common difference of d = 100
The first term, a = 1,100
Therefore;
The Option 1 can be represented as an arithmetic progression , A.P. in the
form, tₙ = a + (n - 1)·d as follows;
For the Option 1, we have;
The amount in dollars after n years, [tex]\underline{ f(n) = 1,100 + (n - 1) \cdot 100}[/tex]For Option 2, it is possible to find;
1,331 ÷ 1,210 = 1,210 ÷ 1,100 = 1.1
Therefore;
The terms in the Option 2 have a common ratio of r = 1.1
The Option 2 is a geometric progression, G.P.
The first term in Option 2 is a = 1,100
Which gives, the nth term, tₙ = a·r⁽ⁿ ⁻ ¹⁾
Therefor;
The function for the Option 2 is; [tex]\underline{f(n) = 1,100 \times 1.1^{(n - 1)}}[/tex]Learn more about arithmetic and geometric progression here:
https://brainly.com/question/8932895
https://brainly.com/question/22977503
At Simba Travel Agency, the price of a climbing trip to Mount Kilimanjaro includes an initial fee plus a constant fee per meter.
The variable f models the fee (in dollars) for climbing d meters.
f=110+0.12d
What is the initial fee?
Answers
110 is the initial fee.
intial fee is the y-intercept.
help ASAP please which too answers are correct
Answers
Answer:
20 (30 + d)
Step-by-step explanation:
your welcome :)
Answer:
2 and 4th one.
Step-by-step explanation:
Hopes This Helps :)
On the first day of the trip, Robert canoes for 3 hours. How far did Robert travel?
I need help I don't know how to solve this please help
Answers
Answer:
9 miles per hour
Step-by-step explanation:
He goes 3/4 of a mile in 15 minutes, so multiply x 4 to get how far per hour. 3/4 x 4 = 12/4 = 3 miles per hour. He went for 3 hours, so 3 x 3 = 9.
If 3 is added to three quarter of a certain number, the result is 30.find the original number.
Answers
Answer:
Original number is 36
Step-by-step explanation:
Let,
Number be x
3x/4 + 3 = 30
3x + 12/4 = 30
3x + 12 = 30 × 4
3x + 12 = 120
3x = 120 - 12
3x = 108
x = 108/3
x = 36
Let's find the unknown variables in the following cases. ) (a) If C.P. Rs 150 and profit = Rs 12, find profit percent
Answers
Answer:
solution, cp=Rs150 profit=Rs12 Now, profit percent=profit% of cp or,profit percent=12/100 x Rs150 Therefore,profit percent =18%
Step-by-step explanation:
Answer:
8%
Step-by-step explanation:
We know that
Profit% = Profit/CP × 100
=> 12/150 × 100
=> 12/15 × 10
=> 4/5 × 10
=> 8%
State what information is required to know that the triangles are congruent.
-GEOMETRY
Answers
[tex]\huge \bf༆ Answer ༄[/tex]
The additional information needed to prove that the triangles are congruent is ~ A
[tex] \sf \angle M \cong \angle V \: \: or \: \: \angle N \cong\angle U[/tex]Answer: Choice A
Explanation:
The shorthand AAS stands for "angle angle side". The diagram shows we have a pair of congruent angles, which takes care of one "A" of "AAS". So we need info about another pair of angles to take care of that other "A".
One possible pair is angle M and angle V, or we could go for angle N and angle U. Whichever option you go for, the tickmarked sides are not between the angles mentioned. If the side was between the angles, then we'd have to use ASA which is slightly different from AAS. The order matters.
Choose all the number lines that show equivalent fractions.
A.
+
1
0
j
1
B.
o
+
1
이고
0
1
+
+
+
1
D.
0
1
-
AU E.
0
+
1
Plz help me this is my exam no links
Answers
Answer:
a and d
Step-by-step explanation:
Colin invests £2350 into a savings account. The bank gives 4.2% compound
interest for the first 4 years and 4.9% thereafter. How much will Colin have after
10 years to the nearest pound?
Answers
Answer:
Answer:
£3692
Step-by-step explanation:
A = p(1 + r/n)^nt
Where,
A = future value
P = principal = £2350
r = interest rate = 4.2% = 0.042
n = number of periods = 1(annual)
t = time = 4 years
A = p(1 + r/n)^nt
= 2350(1 + 0.042/1)^1*4
= 2350(1 + 0.042)^4
= 2350(1.042)^4
= 2350(1.5789)
= 2770.42
A = £2770.42
Total years = 10
Remaining years = 10 – 4
= 6 years
Remaining 6 years
P = £2770.42
r = 4.9% = 0.049
n = 1
t = 6
A = p(1 + r/n)^nt
= 2770.42(1 + 0.049/1)^1*6
= 2770.42(1 + 0.049)^6
= 2770.42(1.049)^6
= 2770.42(1.3325)
= 3691.59
A = £3691.59
Approximately £3692
Thank you!
There is a bag with only red marbles and blue marbles. The probability of randomly choosing a blue marble is 59. There are 45 marbles in total in the bag and each is equally likely to be chosen. Work out how many red marbles there must be.
Answers
There are 20 red marbles
Since the probability of randomly choosing a blue marble is 5/9, then the probability of choosing a red marble will be:
= 1 - 5/9
= 4/9
If there are 45 marbles in total, the number of red marbles will be:
= 4/9 × 45
= 20
Therefore, there are 20 red marbles.
Please helpppppppppp
Answers
Answer:add 126 and 21 and 1.19
Step-by-step explanation:
126+21+1.19=
hope this helped
Answer:
7.14
Step-by-step explanation:
126 miles divided by 21 miles is 6 miles
So 6 gallons for 126 miles
1.19 times 6 is 7.14