Answer: m= -1/5
Step-by-step explanation:
Find the Slope (4, 2) and (9, 1)
Slope is equal to the change in y over the change in x, or rise over run.
change in y
m = _________
change in x
The change in x is equal to the difference in x-coordinates (also called run), and the change in y is equal to the difference in y-coordinates (also called rise). y₂ − y₁
m = _____
x₂ − x₁
Substitute in the values of x and y into the equation to find the slope.
1 − (2)
m = _____
9 − (4)
Simplify the numerator.
−1
m = _____
9 − (4)
Simplify the denominator.
−1
m = _____
5
Move the negative in front of the fraction.
−1
m = _____
− 5
Answer:
The slope of the line is [tex]\displaystyle -\frac{1}{5}[/tex].
Step-by-step explanation:
We are given two coordinate points:
[tex](4, 2)[/tex][tex](9, 1)[/tex]We are asked to find the slope of the line.
We can use the rise-over-run formula to solve for the slope of the line.
[tex]\displaystyle \text{slope} = \frac{\text{rise}}{\text{run}}\\\\\text{slope} = \frac{y_2-y_1}{x_2-x_1}[/tex]
However, we firstly need to name our coordinate points.
In math, we can label our coordinates using the following label system:
[tex](x_1, y_1), (x_2, y_2)[/tex]
Therefore, we can also label our coordinates as such:
[tex]x_1 = 4[/tex][tex]y_1 = 2[/tex][tex]x_2 = 9[/tex][tex]y_2 = 1[/tex]Now, we can supply these values into the formula and solve for our slope, or a better known variable, m.
[tex]\displaystyle m = \frac{1 - 2}{9 - 4}\\\\m = \frac{-1}{5}\\\\m = -\frac{1}{5}[/tex]
Therefore, our slope is [tex]\displaystyle -\frac{1}{5}[/tex].
simplify
7^8 x 7^3 x 7^4
---------------------
7^9 x 7^5
Step-by-step explanation:
According to the power law of indices, when base numbers are the same and multiplying,add their exponents but when base numbers are the same and dividing, subtract their exponents.
Applying the above rule to the numerators,we have 7^(8+3+4)=7^15
Applying to the denominators we have,
7^(9+5)=7^14
Now we have 7^15/7^14=7
What does the "5" represent in 132/5
Answer:
the denominator
Step-by-step explanation:
So, say if you have 132 circles, and 5 are shaded in. That would be what 5 represents!
Hopefully, this helps! :D
Ask your question below.
Solve the system of linear equations by graphing
y=1/3x+5
y=2/3x+5
What is the solution
Answer:
We have the system of equations:
y=1/3x+5
y=2/3x+5
To solve it graphically, we need to graph both lines and see in which point the lines intersect.
You can see the graph below, and you can see that the lines intersect in the point (0, 5)
Now, we can also solve this analytically.
We can use the fact that for the solution, we need y = y.
Then we can write:
(1/3)*x + 5 = (2/3)*x + 5
First, we can subtract 5 in both equations to get:
(1/3)*x = (2/3)*x
This only has a solution when x = 0.
Replacing x = 0 in one of the equations, we get:
y = (1/3)*0 + 5 = 5
Then the solution is x = 0, and y = 5, as we already could see in the graph.
WILL GIVE BRAINLIEST!! How do we calculate relative frequencies?
Answer:
When we look at relative frequency, we are looking at the number of times a specific event occurs compared to the total number of events.
Step-by-step explanation:
Hey now you can give me a brainliest for actually giving an answer haha :)
what is 9+10+10000000000000000+2000000000000000000+99999999999999999999999999999999999999999999
Answer:
1e+44
Step-by-step explanation:
Answer:
1e+44
Step-by-step explanation:
11.43 round to the nearest number.
Answer:
11
Step-by-step explanation:
Since 4 is not 5 or higher you round down so it is just 11
Answer:
11.4
Step-by-step explanation:
give a step by step instructions
(just show ur work you don’t have to explain it)
it’s due today please help ;-;
Answer:
1. X-intercept is 5 Y-intercept is 4 (Red Line)
2. X-intercept is 1 Y-intercept is 2 (Blue Line)
3. X-intercept is -2 Y-intercept is 4 (Green Line)
Step-by-step explanation:
DESMOS graphing calculator. Here is the graph showing my work:
Any help? Explanation would help massively too! Work out the length of AB
Answer:
Exact length = 2*sqrt(137) cm
Approximate length = 23.409 cm
====================================================
Work Shown:
Use the Pythagorean theorem
a^2 + b^2 = c^2
8^2 + 22^2 = c^2
64 + 484 = c^2
548 = c^2
c^2 = 548
c = sqrt(548)
c = sqrt(4*137)
c = sqrt(4)*sqrt(137) ..... use the rule sqrt(x*y) = sqrt(x)*sqrt(y)
c = 2*sqrt(137) .... this is the exact length
c = 23.4093998214392 ... use your calculator to find the approximate length
c = 23.409
I rounded to three decimal places, but feel free to round however you want. Or be sure to follow any rounding instructions your teacher provides.
Triangle ABC has coordinates A(-2, -3), B(1, 1), and C(2, -1). If the triangle is translated 4 units up, what are the coordinates of A'?
Answer:
The coordinates of point A' will be: A'(-2, 0)
Step-by-step explanation:
We know that a translation is basically a transformation that occurs when an object is moved from one place to another place.
Translation does not change the size, orientation, or shape of the original object.
Translating a point P(x, y) 4 units up means we need to add to use P'(x, y+4), that is adding 4 units to the y-coordinate of the point P'(x, y).
Now we have to translate the triangle 4 units up. So, use the formula
P(x, y) → P'(x, y + 3)
Thus, the coordinates of point A' will be:
A(-2, -3) → A'(-2, -3+3) → A'(-2, 0)
Therefore, the coordinates of point A' will be: A'(-2, 0)
help me and ill give you like and brainliest
Answer:constrictive intergers
Step-by-step explanation:
Answer:
[tex]140,141,142,143[/tex]
Step-by-step explanation:
[tex]Let \: x \: be \: the \: lowest \: number .\\ We \: have \: an \: equation:x + (x + 1) + (x + 2) + (x + 3) = 566 \\ \Leftrightarrow 4x + 6 = 566 \\ \Leftrightarrow 4x = 560 \\ \Leftrightarrow x = 140 \\ \Rightarrow 4 \: consecutive \: numbers:140,141,142,143[/tex]
The volume of vegetable soup in a serving is proportional
to the mass of the serving. A 290 mL serving of vegetable
soup has a mass of 180 g. What is the mass of a 348 mL
serving of soup?
Answer:150
Step-by-step explanation:
The mass of 348mL serving soup is 216 grams
The serving is proportional; so, we have:
[tex]\mathbf{290mL = 180g}[/tex]
[tex]\mathbf{348mL = x}[/tex]
Where x represents the mass of 348mL serving soup.
Cross multiply.
So, we have:
[tex]\mathbf{x \times 290mL = 180g \times 348mL}[/tex]
Cancel out common units
[tex]\mathbf{x \times 290 = 180g \times 348}[/tex]
[tex]\mathbf{x \times 290 = 62640g}[/tex]
Divide both sides by 290
[tex]\mathbf{x = 216g}[/tex]
Hence, the mass of 348mL serving soup is 216 grams
Read more about proportional equations at:
https://brainly.com/question/894687
What is the answer to this equation
Find the slope and the y-intercept of the graph of y + 1 = x.
Answer: The slope is 4/3
Step-by-step explanation:
Whatever number is attatched to the "x" is the slope.
Answer:
Slope: M = 4/3
Y-Intercept: : (0,−1)
Step-by-step explanation:
A music club charges an annual membership of $35.65 plus $12.99 for each CD purchased. If Naomi's total bill for the year was 178.54, how many CDs did she purchase.
Answer:
Step-by-step explanation:
178.54-35.65=142.89
then you do 142.89/12.99=11
She bought 11 CDs
If you answer both I will give Brainliest they have to be correct.Good luck
Answer:
3
Step-by-step explanation:
Answer:
5) 2 7) 4
Step-by-step explanation:
3/5 x 25 = 15
15 - 1 = 14 / 7 = 2 = x
25 20
--- = ----
40 7x+4
25 x 4/5 = 20
40 x 4/5 = 32
32 - 4 = 28 / 7 = 4 = x
Determine if the following equations are linear or non linear.
1. x4 + x = 14
2. 5.3x + y = 42
PLEASE HELP ASAP THIS IS DUE IN 4 HOURS
Answer:
1)x⁴+x=14 (non linear)
2)5.3x+y=42 (linear)
Step-by-step explanation:
1)as it has only one variable
2)as it has more than one variable
What is the value of x in the solution to this system of equations?
3x+5y=94
x=2y−9
Enter your answer in the box.
Answer:
x=13
Step-by-step explanation:
PLEASE HELPPPPP ME
What are the slope and y-intercept of the line?
A. The slope is approximately 3 and the y-intercept is 2.
B. The slope is approximately 1.33 and the y-intercept is 2.
C. The slope is approximately 2 and the y-intercept is 3.
D.The slope is approximately 2 and the y-intercept is 1.33.
Answer:
B.The slope is approximately 1.33 and the y-intercept is 2.
Step-by-step explanation:
On the graph we are going based off where the line starts and in this case it starts on the y line and that shows our y-intercept is 2. The line also doesn't have a rate of change that is directly being put onto an intersecting point like (2,2) which would make it a decimal 1.33.
Answer:
B. The slope is approximately 1.33 and the y-intercept is 2.
Step-by-step explanation:
We can eliminate answers C and D because the y-intercept is 2.
The slop is approximately 1.33 because if we go over 1 unit, we must go up approximately 1.33 units to follow the line.
y = (x-4) (x+5) what is the x intercept and the x coordinate of vertex?
Answer: x = (4,0) (-5,0)
Step-by-step explanation: You Have To Use The 5 and the 4 to graph the points and since those were the only number They Stay At (4,0) and (-5,0)
How many 0.1 slices of portabella mushroom will go on each boot long hoagie? 1.2 lbs of portabella divided by 0.4 lb
Answer:
3
Step-by-step explanation:
Answer:
Step-by-step explanation:
Answer is 4
The height of 2 ball in meters is given by the quadratic equation y= -5+² +14t +3, where t is the time in seconds. After how many
seconds will the ball hit the ground?
Answer: after 3 seconds
when the ball hit the ground => - 5t² + 14t + 3 = 0
⇔ (5t + 1)(t - 3) = 0
⇔ t = 3 or t = -1/5
but t is a positive integer => t = 3
so the ball will hit the ground after 3 seconds
Step-by-step explanation:
PLEASE HELP!
functions:
w(x)=-2x+12
m(x)=1/2x-4
find m(2w(x))
Answer:12
Step-by-step explanation:
At a local school, students who cut classes receive detention. If they cut more classes, they spend more time in detention.
c = the number of classes cut
t = the amount of time spent in detention
Which variable is the independent variable?
Answer:
C is the independent variable, because the amount of time you spend in class, depends on how many classes are cut
Step-by-step explanation:
Please please help on the first question only! Will mark brainliest :)
Answer:
y=-25x+15
Step-by-step explanation:
I just used the y=mx+b equation and plugged in the numbers we know by the graph.
Customers at an ice-cream shop took a survey. The results showed that 144 customers rated the shop as being “very satisfactory.” This number represented 45% of the total number of customers who took the survey. What was the total number of customers who took the survey?
Answer:
320 Customers took the survey
Step-by-step explanation:
Answer:
Step-by-step explanation:
144 is 45% of the total customers who took the survey.
Total customers who took survey= 144 × 100/45 = 320
To change the 0.32 into percentage, I need to
Move to dot to the right once
Move to dot to the left twice
Move to dot to the left once
Move to dot to the right twice
The following triangles are similar. What is the missing side length x?
PLEASE HELP ME FASTT Lily likes to collect records. Last year she had 15 records in her collection. Now she has 18 records.
What is the percent increase of her collection?
Answer: it’s a 16.667% increase
Step-by-step explanation:
Because you increased from 15 to 18 which is 3 over a total of 18 now.
3/18=1/6=16.667%
Answer:
20%
Step-by-step explanation:
.15 is 1 percent of 15. .15 x 20 = 3. 15 + 3 = 18 PLS MARK ME BRAINLIEST
3/4(3x+6)−14(5x−24) How do I solve this
Answer:
1362−271x/4
Step-by-step explanation:
STEP 1 :
Equation at the end of step 1
(3/4 * (3x+6))-14*(5x-24)
STEP 2 :
Simplify 3/4
Equation at the end of step 2 :
3
(— • (3x + 6)) - 14 • (5x - 24)
4
STEP
3
:
STEP
4
:
Pulling out like terms
4.1 Pull out like factors :
3x + 6 = 3 • (x + 2)
Equation at the end of step
4
:
9 • (x + 2)
——————————— - 14 • (5x - 24)
4
STEP
5
:
Rewriting the whole as an Equivalent Fraction
5.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 4 as the denominator :
14 • (5x - 24) 14 • (5x - 24) • 4
14 • (5x - 24) = —————————————— = ——————————————————
1 4
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
5.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
9 • (x+2) - (14 • (5x-24) • 4) 1362 - 271x
—————————————————————————————— = ———————————
4 4
Final result :
1362 - 271x
———————————
4
two thousand brown trout are introduced into a small lake. the lake has a volume of 20,000 cubic meters. use a table to find the probability that three brown trout are found in any given cubic meter of the lake.
a. find the average number of brown trout per cubic meter.
b.identify µ and x
c. use table 3 in appendix B to find the poison probability
d. interpret the results
e. determine whether the event is unusual. explain