First find the equation of y.
[tex]y=mx+n=\frac{\Delta y}{\Delta x}x+n[/tex]
Find the slope m.
[tex]m=\frac{5-9}{-1-3}=\frac{-4}{-4}=1[/tex].
Pick one point, I'll pick (-3, 9). Insert coordinates in equation then compute n.
[tex]9=1(-3)+n\implies n=12[/tex].
The equation of a line y is:
[tex]y=x+12[/tex].
The perpendicular line [tex]y_{\perp}[/tex] is same like the normal line except its slope m becomes:
[tex]k=-\frac{1}{m}=-1[/tex].
The equation of a perpendicular bisector is thus:
[tex]y_{\perp}=-x+12[/tex].
Hope this helps.
Answer:
[tex]y = \frac{1}{2} x + 3[/tex]
Step-by-step explanation:
Using the given points, first find the slope:
m = (₂ - y₁) / (x₂ - x₁)
= (5 - 9) / (-1 - (-3))
= -4 / 2
= -2
Find y-intercept by using anyone of the give points and slope from above:
y = mx + b
5 = -2(-1) + b
5 = 2 + b
b = 3
With the m and b, you can make equation of line:
y = mx + b
y = -2x + 3
To find the perpendicular slope, make it opposite and inverse it.
m = -2 becomes 1/2
Regular equation of line:
y = -2x + 3
Perpendicular equation of line:
[tex]y = \frac{1}{2} x + 3[/tex]
Ella swims four times a week at her club's pool. She swims the same number of laps on Monday, Wednesday, and Friday, and 15 laps on Saturday. She
swims a total of 51 laps each week. How many laps does she swim on Monday
Kimberly tracked the cartoons shown on the channel her kids watch for a week. The probability that the show had animals in it was 0.7 . The probability that the show aired more than 10 times was 0.4. The probability that the show had animals in it and aired more than 10 times was 0.2. Which equation shows the correct use of the addition rule to determine the probability that a randomly selected show had animals in it or aired more than 10 times?
Answer:
p(A or more than 10) = 0.7 + 0.4 - 0.2 = 0.9
Step-by-step explanation:
Given the following probabilifu distribution :
Probability that show had animals in it :p(A) = 0.7
Probability that show aired more than 10 times : p(more than 10) = 0.4
Probability that show had animals and aired more than 10 times: p(A n more than 10) = 0.2
Recall:
P(A or B) = p(A) + p(B) - p(A n B)
Hence,
p(A or more than 10) = p(A) + p(more than 10) - p(A n more than 10)
p(A or more than 10) = 0.7 + 0.4 - 0.2 = 0.9
Here are three different rules:
number of tiles = position x 1 + 1
number of tiles = position x 3 + 1
number of tiles = position x 5 + 1
How are these pattern rules the same?
How are these pattern rules different?
Answer:
they all add one
and...
the position is multiplied by different numbers
need help asap at this question so what's the area of the shaded shape
Answer:
Step-by-step explanation:
area of shaded region=area of whole region-area of white space
=9×13-5×[13-(3+2)]
=117-5×8
=117-40
=77 m²
When Joe started his job at the laundromat five years ago, his wage was $6.00 an hour. Today, his wage is $8.50 an hour. If Joe started his job in the base year, and his real wage is the same as when he started, what is the Consumer Price Index (CPI) today
Answer:
142
Step-by-step explanation:
The computation of the Consumer Price Index (CPI) today is shown below:-
Real Salary today / Real Salary 5 years ago = CPI today ÷ CPI 5 years ago
CPI today ÷ 100 = 8.50 ÷ 6
= 142
Therefore for computing the Consumer Price Index (CPI) today we simply applied the above formula and the same is to be considered
2. Explain and correct the error made by a student who simplified this expression.
–2x + 7x + 8
(–2 + 7 + 8)x
13x
Please answer correctly !!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!
Answer: 13x-1
Step-by-step explanation:
Which two expressions are
equivalent to 18p-36?
(Pick two choices)
3(9p-12)
9(2p-4p)
2(9p-18)
18(p-2)
Answer:
9(2p-18) and 2(9p-18)
Step-by-step explanation:
The equivalent expression to the expression 18p - 36 are,
9(2p - 4p) and 2(9p - 18).
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.
Given, An expression 18p - 36.
We know the distributive property states a(b + c) = ab + ac.
Now, The factors of 18 are, 1, 2, 3, 6, 9, 18.
Therefore,
18p - 36 can be written as,
9(2p - 4p) and 2(9p - 18).
learn more about numerical expressions here :
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-k/5 = 7/5 can someone help with this?
Answer:
k = -7
Step-by-step explanation:
Step 1: Write equation
-k/5 = 7/5
Step 2: Solve for k
Cross multiply: -5k = 35Divide both sides by -5: k = -7Step 3: Check
Plug in k to verify it's a solution.
-(-7)/5 = 7/5
7/5 = 7/5
please help me!!
will mark brainliest!!
Use the drawing tool(s) to form the correct answer on the provided graph.
The graph of f(x) = x is shown on the coordinate plane. Function g is a transformation off as shown below.
g(x) =3/4 f(x)
Graph function g on the same coordinate plane.
The graph of the function g(x) = 3/4 f(x) on the same coordinate plane as f(x) = x is attached below.
What is a graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
To graph the function g(x) = 3/4 f(x) on the same coordinate plane as f(x) = x, we need to perform the transformation of stretching the graph of f(x) by a factor of 3/4.
Determine the scale factor for the transformation. In this case, the scale factor is 3/4.
Starting at the x-intercepts and y-intercepts (if there are any), plot the points on the coordinate plane using the scale factor to stretch or shrink the graph as needed.
For example, the point (0,0) on the graph of f(x) becomes the point (0,0) on the graph of g(x). The point (1,1) on the graph of f(x) becomes the point (1, 3/4) on the graph of g(x).
Connect the plotted points with a smooth curve to obtain the graph of g(x).
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The picture is above.
Seven times a number is forty-two less than the number. What is the number?
Answer:
7x=42=6
Step-by-step explanation:
7x=42
x=42/7
x=6
Answer:
- 7Step-by-step explanation:
x ← a number
7x ← seven times the number
x - 42 ← forty-two less than the number
Seven times a number is forty-two less than the number.
7x = x - 42
-x -x
6x = -42
÷6 ÷6
x = -7
A set of 4 consecutive integers has a sum of 234. What is the least of the 4 integers?
Answer:
57 is the least out of the 4 numbers or integers here
Step-by-step explanation:
57,58,59,60
hope this helps ;)
"The model can be used to solve 6×3.27. Select the partial products from the drop-down lists" i have no clue what to do, can someone explain to me?
Answer:
The partial products are:
18 + 1.2 + 0.42
The sum: 19.62
Step-by-step explanation:
This has to do with understanding what place value is.
3 ones = 3 * 1 = 3
6 * 3 ones = 18
2 tenths = [tex] 2 * \frac{1}{10} = 2*0.1 = 0.2 [/tex]
6 * 2 tenths = 1.2
7 hundredths = [tex] 7 * \frac{1}{100} = 7*0.01 = 0.07 [/tex]
6 * 7 hundredths = 0.42
The partial products are:
18 + 1.2 + 0.42
The sum = 19.62
Answer:
Answer:
The partial products are:
18 + 1.2 + 0.42
The sum: 19.62
Step-by-step explanation:
This has to do with understanding what place value is.
3 ones = 3 * 1 = 3
6 * 3 ones = 18
Step-by-step explanation:
Graph Y equals -5/6x -4
Step-by-step explanation:
y = -5/6x - 4
(0,-4) is the y intercept
the slope is -5/6, it descends 5 and goes 6 horizontally.
need help ...............................
which is the best estimate for (8.9 x 10^8)(3.3 x 10^4 written in scientific notation?
Answer:
3 x10^4
Step-by-step explanation:
I NEED HELP RIGHT NOW!!
Jenine is twice as old as her brother Mark. If the sum of their ages is 24, How hole is Jenine?
– 3х + 10 = 2
— 3х + Зу = 9
Answer: A! x=-1 2/5, y= 1 3/5
Step-by-step explanation:
First put -3x+3y=9 into slope-intercept form(y=mx+b)
3y=-3x+9
then solve for y
y=-1x+3
enter your y-intercept into the equation below..
2x-7(-1x+3)=-14
2x+7x-21=-14
2x+7x=-14+21(when changing sides it changes signs that's why 21 is now a positive)
2x-7x=7
-5x=7 divide -5 into 7
7/5
x=-1 and 2/5
then input x back into the first equation
-3(7/-5)+3y=9
21/5+3y=9
3y=9-21/5
3y=24/5
divide 3 into 24/5
=24/15=1 and 9/15 reduce it anddd
y=1 and 3/5
what is the slope of a line that is perpendicular to the line y= -1\2x+ 5
Answer:
-1/2
Step-by-step explanation:
Answer:
-1/2
Step-by-step explanation:
Use the statement for the next 2 question: "If it is hot, then it is summer." 1) write
the hypothesis.
Answer:
simply no
Step-by-step explanation:
Answer: Hypothesis is "It is hot"
The general form of a conditional is "If hypothesis, then conclusion"
You may see it as "If P, then Q". P and Q are placeholders
In this case, the conclusion is "It is summer".
What is the answer?
he microsphere nanoscope is a powerful tool that allows humans to see structures 9 × 10–9 meter in diameter.
How is this number expressed in standard form?
A truck driver has traveled for hours (4, h) south down a highway 50 kilometers per hour (50 km/h) How far as the delivery driver traveled?
Answer:
200 kilometers
Step-by-step explanation:
since the driver goes 50 kilometers at a constant rate for 4 hours, you multiply it by 4, and you get 200.
An easy way to multiply these numbers is to multiply the 4 and 5, which equals 20, then add the extra zero from the 50.
HELP NEEDED!!!!!!
Marley used 7 cups of water to make 4 loaves of French bread.
What equation can be used to model the total cups of water needed y for making x loaves of French bread? Write the equation in the form y =kx .
Answer:
Step-by-step explanation:
y=kx
7/4=1.75
6/4=1.5
The equation in the form y =kx will be as y = 7/4 x .
What are Proportional?Proportional the type of relationships between two variables where their ratios are equivalent.
In a proportional relationship, one variable is always a constant value by the other. That constant is known as the constant of proportionality.
A proportional relationship between the variables x and y is written as:;
y=k.x
For the given problem, y represents the cups of water needed for making x loaves of French bread.
We know that Marley used y=7 cups of water to make x=4 loaves of French bread. Substituting into the equation;
7=k.4
Solving for k:
k = 7/4
The equation to model the problem;
y = 7/4 x
More can be learned about proportions at;
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5×+6×12-3= -3×6×-15
xf es para hoy
Need help ASAP! Tysm
Answer:
36
Step-by-step explanation:
Substitute a and b
3|-9-3|
3|6|
Multiply your answer and you get 36
Name an angle adjacent to ZHGJ.
D
H
G
F
ZFGD
ZEGH
O ZEGD
O ZIGF
HELP
89 times what is 6285
Answer:
71
Step-by-step explanation:
6285 ÷ 89 = 71
If m 4 = 48° and m28 = 3x + 9
Answer:
x = 109
Step-by-step explanation:
m4 =48
m =48/4
m = 12
now
m28 = 3x+9
12*28 = 3x + 9
336-9 = 3x
327/3 = x
109 = x