5Find the equation of the line through (-2, 2) andperpendicular to the line y = x - 5. Put inуslope-intercept form.1=3-
Answers
The slope-intercept form of a line is:
y = mx + b
Where m is the slope and b is the y-intercept.
Two lines having slopes m1 and m2 are perpendicular if
m1 * m2 = -1
We are given the equation of one line:
\(y=\frac{1}{3}x-5\)It's required to find the equation of another line that is perpendicular to it. We have m1 = 1/3, let's find the other slope:
\(\begin{gathered} m_1\cdot m_2=-1 \\ \frac{1}{3}\cdot m_2=-1 \\ Thus\colon \\ m_2=-3 \end{gathered}\)The slope of the required line is -3. Now we use the point through which the line passes (-2, 2).
We use the point-slope form of the line:
y - k = m( x - h)
Where (h,k) = (-2, 2) is the point. Substituting:
\(y-2=-3(x+2)\)Operating:
\(\begin{gathered} y-2=-3x-6 \\ \text{Adding 2:} \\ \boxed{y=-3x-4^{}} \end{gathered}\)Related Questions
Please help! I dont get how to get the answer
Answers
The value of angle x in the triangle is 15°
How to find the value of x in the triangle?Given: the triangle ABC with equal sides of 9 units.
Since the triangle has equal sides, it will also have equal angles (i.e. it is an equilateral triangle).
Thus, <A = <B = < C = 4x°
Since the sum of angles in a triangle is 180°. We have:
<A + <B + < C = 180°
4x + 4x + 4x = 180°
12x = 180
x = 180/12
x = 15°
Therefore, the value of x is 15°
Learn more about angles in a triangle on:
https://brainly.com/question/7620723
#SPJ1
helpppp meeeee plz thee timee
Answers
Answer:
the triangle is congruent by sss.
Answer:
they are congruent by s.s s axiom
Properties of a rhombus
Answers
Answer:
Properties: Isotoxal figure, Convex polygon
Step-by-step explanation:
In plane Euclidean geometry, a rhombus is a quadrilateral whose four sides all have the same length. Another name is equilateral quadrilateral, since equilateral means that all of its sides are equal in length.
Solve.
4 There are 42 tubes of oil paint on trays. Each tray
holds 6 tubes. How many trays of tubes are there?
Show your work.
7
Answers
Answer: 7
Step-by-step explanation:
Since there are 42 tubes and each tray can hold 6 tubes, it will be 42/6 which is 7.
I need help. 18 = a/2
Answers
\(a = 36\) ✔
Step-by-step explanation:
\(18 = \frac{a}{2} \\ ➡ \: a \: = 18 \times 2 \\ ➡ \: a = 36\)
\(\bold{ \green{ \star{ \orange{Hope\:it\:helps.}}}}⋆\)
Answer choices)
A. (2/3x, 2/3y)
B. (3/2x, 3/2y)
C. (1/2x, 1/2y)
D. (2x, 2y)
Please help me :((
Answers
9514 1404 393
Answer:
B. (3/2x, 3/2y)
Step-by-step explanation:
It is perhaps easiest to see that B' is 3 grid squares from the origin while B is 2 grid squares from the origin. The scale factor is the ratio of these distances:
3/2
Dilation about the origin multiplies each coordinate value by the scale factor:
(x, y) ⇒ (3/2x, 3/2y)
work out 13-4(3+6) and show the workings
Answers
Answer:
-23
Step-by-step explanation:
13-4(3+6)
13-4x9
13-36
-23
Isabella left a 15% tip for a meal. The total cost of the meal, including the tip, was $23. What was the cost of the meal before the tip was added?
Answers
Answer:
the meal was $3.45
Step-by-step explanation:
Answer: cost before tip is $20
Step-by-step explanation:
Tip=20(0.15)
= 3
Total = Cost + Tip
= 20 + 3
= 23
I need to find the x of the triangle.
Answers
Hi can someone help me pls
Answers
Answer:
f(x) = 45x + 5
Step-by-step explanation:
The parking fee for a minibus at an event is $5 entering the parking lot. There is an extra charge of $45 per passenger.
The formula that simulates the parking fee for this sentence is
f(x) = 45x + 5
This is because 45x represents the charge per passenger and we are using addition because the $5 minibus parking fee; to enter the parking lot - increases the total cost of the parking fee.
Please help asap!! These line plots show the results of a survey of 10 boys and 10 girls about how many hours they slept the previous night. Show your work for credit!
What are the Medians?
Answers
The median number of hours slept by boys the previous night is 6.5 hours, while the median number of hours slept by girls the previous night is 7 hours.
The given line plots display the results of a survey of 10 boys and 10 girls regarding the number of hours they slept the previous night. To find the median, follow these steps:Put the observations in ascending order.Divide the data into two equal parts.
To locate the median of the data, find the value that is at the center of the data when ordered.To calculate the medians of the given line plots, we must first arrange the observations in ascending order and divide them into two equal parts.
We have 10 boys and 10 girls in total, so we will have 20 observations for each line plot: Boys’ line plot: 4, 5, 6, 6, 6, 7, 7, 8, 9, 10Girls’ line plot: 5, 5, 6, 7, 7, 7, 7, 8, 8, 10When arranged in ascending order,
the observations are as follows: Boys’ line plot: 4, 5, 6, 6, 6, 7, 7, 8, 9, 10Girls’ line plot: 5, 5, 6, 7, 7, 7, 7, 8, 8, 10 Now,
we must determine the medians for each data set. Since each data set has an even number of observations, the median is the average of the two middle values.
The medians for each data set are as follows: Boys’ line plot: (6 + 7) / 2 = 6.5Girls’ line plot: (7 + 7) / 2 = 7
To learn more about : median number
https://brainly.com/question/26177250
#SPJ8
Which is the graph of the function f/x )= x 2 2x 3?; Which graph represents the function f/x )= 4 x?; How do you find a function on a graph?; Which is one of the transformations applied to the graph of f/x )= x2 to change it into the graph?
Answers
The graph of the function f(x) = x² + 2x + 3 is a parabola with vertex (-1, 2).
You can use the vertical line test on a graph to determine whether a relation is a function. If it is impossible to draw a vertical line that intersects the graph more than once, then each x-value is paired with exactly one y-value. So, the relation is a function.
Given, the function is f(x) = x² + 2x + 3
We have to find the graph of the function.
Let y = x² + 2x + 3
Put x = -3
y = (-3)² + 2(-3) + 3
= 9 - 6 + 3
= 9 - 3
y = 6
Put x = -2
y = (-2)² + 2(-2) + 3
= 4 - 4 + 3
y = 3
Put x = -1
y = (-1)² + 2(-1) + 3
= 1 - 2 + 3
= 4 - 2
y = 2
Put x = 0
y = (0)² + 2(0) + 3
= 0 + 0 + 3
y = 3
Put x = 1
y = (1)² + 2(1) + 3
= 1 + 2 + 3
= 3 + 3
y = 6
We can plot the graph using the points.
The graph of the function f(x) = x² + 2x + 3 is a parabola with vertex (-1, 2).
Learn more about graph of quadratic equation at :
https://brainly.com/question/16191913
#SPJ4
Find the sum and difference (first mixed number minus the second mixed number) for the following pair of mixed numbers. The answer should be written as a mixed number.
Answers
Answer:
Sum = 15 8/15, Difference = 1 2/15
Step-by-step explanation:
8⅓, 71/5
A. Sum
8⅓ + 7 1/5
Convert to improper fraction
25/3 + 36/5
Find the LCM of 3 and 5. The result is 15. Divide 15 by the denominator of each fraction and multiply the result obtained with the numerator. The result is shown below:
[(25×5) + (36×3)] / 15
[125 + 108] / 15
233 / 15
Convert to mixed fraction
15 8/15
B. Difference
8⅓ – 7 1/5
Convert to improper fraction
25/3 – 36/5
Find the LCM of 3 and 5. The result is 15. Divide 15 by the denominator of each fraction and multiply the result obtained with the numerator. The result is shown below:
[(25×5) – (36×3)] / 15
[125 – 108] / 15
17 / 15
Convert to mixed fraction
1 2/15
SUMMARY:
Sum = 15 8/15, Difference = 1 2/15
What is an expression that compares two or more numbers
Answers
Select the correct answer.
Fiona has to plot a histogram of the given data.
82, 83, 89, 67, 65, 88, 66, 69, 83, 81, 94, 68, 82, 69, 86, 83, 88, 62, 64, 93
Which frequency table should she use for the histogram?
A.
Interval 60-70 70-80 80-90 90-100
Frequency 8 0 10 2
B.
Interval 56-63 63-70 70-77 77-84 84-91 91-98
Frequency 1 7 0 5 5 2
C.
Interval 50-70 70-80 80-85 85-90 90-100
Frequency 8 0 6 4 2
D.
Interval 60-75 75-90 90-105
Frequency 8 10 2
Answers
Answer:
I think it B.
Step-by-step explanation:
I think it B.
0p
2. Milk is on sale for 45 % off when it is normally $3.75 per gallon. How much will a gallon of milk cost?
O $1.69
$2.06
$2.05
$2.10
Answers
Answer:
A-$1.69
Step-by-step explanation:
45% of 3.75 is 1.6875
1.6875 needs to be rounded to the nearest hundredth
So it would make 1.68
Answer:
2.05
Step-by-step explanation:
x/3.75=45/100 cross multiply. x= about $1.7 but that's not the answer. to find the amount a gallon of milk costs, subtract 3.75 by 1.7, which gives you 2.05.
What is the value of x in this proportion? 27=−5x+3 Responses x=−2012 x equals negative 20 and 1 half x=−19 x equals negative 19 x=−16 x equals negative 16 x=−1412
Answers
The value of x in the equation 27=−5x+3 is -24/5
The given equation is 27=−5x+3
We have to find the value of x
Subtract 3 from both sides
27-3=-5x
24=-5x
Divide both sides by 5
x=-24/5
Hence, the value of x in the equation 27=−5x+3 is -24/5
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ1
What is the mode of the data represented in this line plot?
Enter your answer in the box.
5 - xx
6 - xxxx
7 - xxx
8 - xxxxxx
9 - xx
10 - xxxx
11 - xx
Answers
The mode of the data represented in this line plot will be 8.
Simply counting how several times each number looks in the data set can help you identify the mode, which is the integer that repeats the most frequently in the collected data. The figure with the largest total is the mode.
The value that appears the most frequently in data collection is its mode. By examining the line plot, we can observe that the number 8 and the six Xs above it are the most commonly occurring values. Consequently, 8 represents the data set's mode.
More about the mode of the data link is given below.
https://brainly.com/question/11163338
#SPJ1
A scientist places 20 mg of bacteria in a culture for an experiment and he finds that the mass of the bacteria triples every day.
a.)Each day that passes, the mass of bacteria in the culture changes by what percent?
Answers
Answer: 300%
Step-by-step explanation:
Multiplying something by 3 is the same as 300% of that number
20 x 3 = 60
60 = 300% x 20
If the Federal Reserve sells $60,000 in Treasury bonds to a bank at 8%
interest, what is the immediate effect on the money supply?
A. It is increased by $64,800.
B. It is decreased by $60,000.
C. It is increased by $60,000.
D. It is decreased by $64,800.
Answers
If the Federal Reserve sells $60,000 in Treasury bonds to a bank at 8% interest, the immediate effect on the money supply is B. It is decreased by $60,000.
What decreases the money supply?One of the monetary factors that decreases the money supply in the economic is when the Federal Reserve raises the banks' reserve requirements.
Another factor that can decrease the money supply is the sale of treasury bonds to banks.
Raising the interest rates also decreases the money supply.
Thus, by selling $60,000 in Treasury bonds to a bank at 8% interest, it decreases the money supply.
Learn more about the money supply at https://brainly.com/question/3625390.
#SPJ1
a plumber will reroute pipes at your house. The company charges the customer a service fee plus the price for each feet of pipe needed to finish the job. A customer pays 106.00 for 11 feet of pipe and a second customer pays 127.00 for 22 feet if pipe how many feet of pipe did a customer need if they paid 292.00?
Answers
The customer who paid $292.00 needed 2 feet of pipe.
What is the amount?Taking it that the service fee would be the same for the customers, we put the service fee to be x.
Now, we have for the first customer;
(cost per foot) = (total cost - service fee) / (feet of pipe) = (106 - x) / 11
For the second customer we have;
(cost per foot) = (total cost - service fee) / (feet of pipe) = (127 - x) / 22
Solving simultaneously would give;
(106 - x) / 11 = (127 - x) / 22
Solving for x, we get:
x = 42
Then we have;
for a customer who paid $292.00:
(292 - 42) / (106 - 42) = 2
Learn more about proportion:https://brainly.com/question/30657439
#SPJ1
(nearest dime)
$3.47 x 10 =
Answers
Answer:
$34.70
Explanation:
$3.47 x 10 = 34.7
Hope this helps ^-^
-Isa
What is 42% of 17?
round up
Answers
Hello
42. ?
100 17
We use cross product.
\( \frac{42 \times 17}{100} = 7.14\)
42% of 17 => 7.14
Have a nice day ;)
\(\huge\text{Hey there!}\)
\(\huge\textbf{Question reads....}\)
\(\large\textbf{What is 42\% of 17?}\)
\(\huge\textbf{Answering your question}\)
\(\mathbf{42\% \ of \ 17}\)
\(\huge\textbf{Translating it to easier to terms}\)
\(\mathbf{42\% \ of \ 17}\)
\(\mathbf{= 42\%\times 17}\\\)
\(\mathbf{= \dfrac{42}{100}\times 17}\)
\(\mathbf{= \dfrac{42\div2}{100\div2}\times17}\)
\(\mathbf{= \dfrac{21}{50}\times17}\)
\(\mathbf{= \dfrac{21}{50} \times \dfrac{17}{1}}\)
\(\mathbf{= \dfrac{21\times17}{50\times1}}\)
\(\mathbf{= \dfrac{357}{50}}\)
\(\mathbf{= 357 \div 17}\)
\(\mathbf{= 7.14}\)
\(\huge\textbf{Answer }\bf \huge\boxed{\downarrow}\)
\(\huge\text{Therefore, your answer should be: \boxed{\mathsf{7.14}}}\huge\checkmark\)
\(\huge\text{Good luck on your assignment \& enjoy your day!}\)
~\(\frak{Amphitrite1040:)}\)
DUE TODAY!!! What is the difference between the longest and shortest distances the gliders flew? Dominick said that 32 1/2 is an outlier do you agree with him? explain
Answers
The following is the distance that separates the longest from the shortest:
46 feet - 28 feet = 18 feet.
How come we measure distance?Knowing an object's distance from us allows us to estimate its true size. You can calculate how much space an object takes up in the sky. Then, in order to determine an object's actual size, distance is required. When something is farther away, it appears smaller.
The shortest and the longest distances are roughly 28 and 46 feet, respectively. As a result, the following is the distance that is the greatest and shortest:
46 feet - 28 feet = 18 feet
To know more about Distance visit:
https://brainly.com/question/30701405
#SPJ1
Winnie wants to find the zeros of the function
g(x) = 8(x) = 8x2 + 14x – 15. Which of the following equations could Winnie use to find the zeros of
g(x)?
1.) (X - 5)(8x + 3) = 0
2.) (x + 1)(8x – 15) = 0
3.) (4x + 15)(2x - 1) = 0
4.) (4x – 3)(2x + 5) = 0
Answers
g(x) = 8(x) = 8x2 + 14x – 15. Which of the following equations could Winnie use to find the zeros of
g(x)?
1.) (X - 5)(8x + 3) = 0
2.) (x + 1)(8x – 15) = 0
3.) (4x + 15)(2x - 1) = 0
4.) (4x – 3)(2x + 5) = 0
2.x+1)
y = 5/7x +2
y = 5/7x - 30
These lines are...
Answers
Answer:
Parallel
Step-by-step explanation:
I just used desmos, which is an online graphing calculator
Answer:
the lines are parallel
the phone company charges $33 for having a smartphone plus $9.95 a month for 2gb. IF mark has only $146.43 to spend on a phone, how many months can he have the phone? inequalities
Answers
The number of months Mark can have the phone is given by the equation
A = 11.4 months
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number of months be represented as = A
Now , the equation is
Now , the total amount with Mark = $ 146.43
The initial amount for the smartphone = $ 33
The amount per month for 2GB is = $ 9.95
So , the amount for A months = $ 9.95 ( A )
So , the equation will be
Initial amount for the smartphone + the amount for A months = total amount with Mark
Substituting the values in the equation , we get
33 + 9.95 ( A ) = 146.43 be equation (1)
On simplifying the equation , we get
Subtracting 33 on both sides of the equation , we get
9.95 ( A ) = 113.43
Divide by 9.95 on both sides of the equation , we get
A = 11.4 months
Therefore , the value of A is 11.4 months
Hence , the number of months is 11.4 months
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ1
8^1/6 x 2^x = 32^1/2
Work out the exact value of x.
Answers
Answer:
I think 2
Step-by-step explanation:
It depends on whether 8^1/6 really actually means (1/6) the fraction... or (8^1)/6
I took it as 8^(1/6) meaning to the power of a fraction
6. Janet spent $25, $30, $10, and $8 for
recreation in the last four weeks. What
was her average weekly expense for
recreation?
A. $12.50
B. $18.25
C. $25.25
D. $36.50
Answers
Answer:
B
Step-by-step explanation:
Total money spent = 25 + 30 + 10 + 8 = 73
Per week = 73 / 4 = 18.25
sketch y-2x = 3 showing both intercepts on both axes
Answers
Given:
\(y-2x=3\)To find:
We need to draw the given line with y-intercept and x-intercepts.
Explanation:
Recall that the y-intercept is the point where the line crosses the y-axis.
Substitute x=0 in the given equation to find the y-intercept.
\(y-2(0)=3\)\(y=3\)The y-intercept is (0,3).
Recall that the x-intercept is the point where the line crosses the x-axis.
Substitute y=0 in the given equation to find the s-intercept.
\((0)-2x=3\)\(-2x=3\)Dividing both sides by -2, we get
\(x=-\frac{3}{2}\)\(x=-1.5\)The x-intercept is (-1.5,0).
Mark points (0,3) and (-1.5,0) on the graph and join them by ray.
The graph of the line:
