What is the slope of a line that is perpendicular to the line whose equation is 8y−5x=118y−5x=11?
Answer:
The slope of a line that is perpendicular to the line whose equation is [tex]8y-5x=11[/tex] is [tex]m=-\frac{8}{5}[/tex]
Step-by-step explanation:
Given : Equation [tex]8y-5x=11[/tex]
To find : What is the slope of a line that is perpendicular to the line whose equation is given?
Solution :
First we find the slope of the given line,
The general slope form of line is [tex]y=mx+b[/tex] where m is the slope of the line and b is the y-intercept.
Re-write the given equation into general form,
[tex]8y-5x=11[/tex]
Take 5x to another side,
[tex]8y=5x+11[/tex]
Divide both side by 8,
[tex]y=\frac{5}{8}x+\frac{11}{8}[/tex]
On comparing with general form,
The slope of the line is [tex]m=\frac{5}{8}[/tex]
We know,
When two line are perpendicular one slope is negative reciprocal of another.
If the slope of line is [tex]m=\frac{5}{8}[/tex]
Then the slope of perpendicular line on this line is [tex]m=-\frac{8}{5}[/tex]
Therefore, The slope of a line that is perpendicular to the line whose equation is [tex]8y-5x=11[/tex] is [tex]m=-\frac{8}{5}[/tex]
The Moon is about 240,000 miles from the Earth what is the distance written as a whole number multiplied by a power of 10
John read the first 114 pages of a novel, which was 3 pages less than 1/3 of the novel. Write an equation to determine the total number of pages (p) in the novel. And find the total number of pages in the novel
Answer:
351
Step-by-step explanation:
If we add 3 pages to 114, we get a number that is [tex]\frac{1}{3}[/tex] the total number of pages in the novel (p). Thus, we can write:
[tex]114+3=\frac{1}{3}p[/tex]
Solving for p gives us the total number of pages in the novel. So:
[tex]114+3=\frac{1}{3}p\\117=\frac{1}{3}p\\p=\frac{117}{\frac{1}{3}}\\p=117*3=351[/tex]
Thus, total number of pages in the novel is 351.
You have a 5" by 7" photo that you would like to have enlarged to fit an 8" by 10" frame. Would the two photographs be similar? Explain
The two jar are geometrically similar.The height are 25cm and 10cm.The diameter of the larger jar is 7.5cm.Find the diameter of the smaller jar.
25/10 = 7.5/x
75/25x
x=75/25 = 3
diameter of smaller jar = 3 cm
2
4-(28 divided 7)+111
Which expression is equivalent to 6(14)? 6(10 + 4) 6(10 + 14) 6(1 + 40) 6(10 + 40)
What is the slope of a line that is perpendicular to the line whose equation is 7x−3y=107x−3y=10?
Walter had 2/4 yard of string. He used 3/6 of it on a school project. How much string did he use?
2/4 reduces to 1/2
3/6 reduces to 1/2
so he used 1/2 of 1/2 yard
1/2 * 1/2 = 1/4
he used 1/4 yard
Ernesto tried to determine the solution for the system of equations using substitution. His work is shown below. x – y = 7 3x – 2y = 8 Step 1: x = y + 7 Step 2: 3(y + 7) – 2y = 8 Step 3: 3y + 7 – 2y = 8 Step 4: y + 7 = 8 Step 5: y = 1 In which step did Ernesto make the first error?
Answer:
answer C
Step-by-step explanation:
The table shows the estimated number of deer living in a forest over a five-year period. Which type of function best models the data? Write an equation to model the data. Year Estimated Population 0 100 1 79 2 62 3 49 4 39
We are given the following data:
Year Estimated Population
0 100
1 79
2 62
3 49
4 39
Just by looking at the data we can see that the relationship of year and estimated population is not linear. The decrease in the population does not follow a linear path, that is:
79 – 100 is not equal to 62 – 79
-21 is not equal to -17
Therefore, the relationship must be exponential. Let us find the common ratio by dividing the population in year 1 and year 0:
common ratio, r = 79 / 100 = 0.79
This means that the population decreases by 21% every year.
So the model for this data can be written as:
yn = y0 * r^n
Where,
yn = is the population after n years
y0 = initial population
r = growth rate = decreasing
n = number of years
According to the chart, from 1976-1986, unintentional drug overdose deaths per 100,000 population stayed relatively stable. The numbers for each year are, roughly, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2. What is the mean of these statistics?
Answer: 1.09
Step-by-step explanation:
Given that according to a chart from 1976-1986, unintentional drug overdose deaths per 100,000 population stayed relatively stable.
The numbers for each year are, roughly, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2.
We know that mean =[tex]\frac{\text{sum of all data values}}{\text{number of data values}}[/tex]
[tex]\\\Rightarrow\text{Mean}=\frac{1+1+1+1+1+1+1+1+1+1+2}{11}\\=\frac{12}{11}=1.09[/tex]
Thus the means of these statistics= 1.09
How many toothpicks are used to create Figure 10? Describe how you found the answer.
which statement is always true about an isosceles triangle A.it has 1 right angle B.it has 2 congruent angles C.it has no sides that are congruent D.the sum of all 3 angles in 360 degrees
It has 2 congruent angles, is always true about an isosceles triangle
What is Isosceles Triangle?
A triangle with two equal sides is said to be isosceles. Also equal are the two angles that face the two equal sides. In other terms, an isosceles triangle is a triangle with two sides that are the same length.
Angles of Isosceles Triangle:Contrary to the equal sides, two of the isosceles triangle's three angles have equal measures. One of the angles is therefore not equal. Assume that if we are given the measure of an unequal angle, we can quickly determine the other two angles using the angle sum property.
Properties of Isosceles Triangle:Since this triangle's two sides are equal, the base of the triangle is the side that is not equal.
The triangle's two equal sides' opposing angles are always equal.
The vertex (topmost point) of an isosceles triangle is where the altitude of the triangle is calculated.
The third angle of a right isosceles triangle is 90 degrees.
Hence, the answer (b) it has 2 congruent angles
Learn more about the Isosceles Triangle here:
https://brainly.com/question/1475130
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How can the order of operations be used to simplify expressions?
Mr. Rifkin had 240 digital and manual cameras. After donating 82 digital cameras and 26 manual cameras, he had 3 times as many digital cameras as manual cameras left. How many digital cameras did he have first?
Mr. Rif-kin initially had 181 digital cameras.
Let's denote:
- [tex]\( x \)[/tex] as the initial number of digital cameras.
- [tex]\( y \)[/tex] as the initial number of manual cameras.
According to the given information:
1. Mr. Rif-kin had a total of 240 digital and manual cameras initially:
[tex]\[ x + y = 240 \][/tex]
2. After donating 82 digital cameras and 26 manual cameras, he had 3 times as many digital cameras as manual cameras left:
[tex]\[ (x - 82) = 3(y - 26) \][/tex]
We can set up a system of equations with these two equations and solve for [tex]\( x \)[/tex] and [tex]\( y \)[/tex].
1. From Equation 1:
[tex]\[ y = 240 - x \][/tex]
2. Substituting [tex]\( y \)[/tex] from Equation 1 into Equation 2:
[tex]$\begin{aligned} & x-82=3((240-x)-26) \\ & x-82=3(214-x) \\ & x-82=642-3 x \\ & 4 x=724 \\ & x=181\end{aligned}$[/tex]
Now that we have found [tex]\( x \)[/tex], we can find [tex]\( y \)[/tex] using Equation 1:
[tex]$\begin{aligned} & y=240-x \\ & y=240-181 \\ & y=59\end{aligned}$[/tex]
So, Mr. Rif-kin initially had [tex]\( 181 \)[/tex] digital cameras and [tex]\( 59 \)[/tex] manual cameras.
The complete question is here:
Mr. Rif-kin had 240 digital and manual cameras. After donating 82 digital cameras and 26 manual cameras, he had 3 times as many digital cameras as manual cameras left. How many digital cameras did he have at first?
If x = 49 , what is the value of x(x-10)
replace 49 for x so
x(x-10) becomes 49(49-10) =
49*39 = 1911
A cylindrical well is 25 meters deep and has a diameter of 1.8 meters. Approximately how many cubic meters of soil were dug out to make the well?
(Use π = 3.14.)
10.17 cubic meters
21.19 cubic meters
63.59 cubic meters
70.65 cubic meters
Answer:
The answer is C. 63.59 cubic meters
Hope This Helps!
(05.01)A company makes triangular plates for individual slices of pizza. For each plate, the base is 9 inches and the height is 14 inches. The area of the top of the plate is ____ inches squared.
Answer:
63
Step-by-step explanation:
if PA=14 and PD=10 what is the length of PC
To find the length of PC when PA=14 and PD=10, apply the cosine rule formula in trigonometry.
The length of PC can be calculated using trigonometry and the given information.
Since PA=14 and PD=10, we can use the cosine rule to find the length of PC.Applying the cosine rule formula, PC = √(PA2 + PD2 - 2*PA*PD*cos(θ)).Calculate the length of PC by substituting the values: PC = √(142 + 102 - 2*14*10*cos(θ)).Antoine and Tess have a disagreement over how to compute a 15% gratuity on $46.00. Tess says, “It is easy to find 10% of 46 by moving the decimal point one place to the left to get $4.60. Do that twice. Then add the two amounts to get $4.60 + $4.60 = $9.20 for the 15% gratuity.”
Tess is correct about figuring 10% but he added 2 of them together which is like adding 10% +10% which is 20% not 15%.
he should have taken 1/2 of the 4.60 for 5% since 5 is half of 10
half of 4.60 = 2.30
then add that to the 4.60
4.60 +2.30 = 6.90 is 15%
Answer:Tess 20%
Step-by-step explanation:
At Wayne College, 3/4 of the students are enrolled in an art class. Of the students enrolled in an art class, 1/4 are enrolled in a painting class. What fraction of the students at Wayne College are enrolled in a painting class?
A jacket costs $35 and has an 8 percent tax rate. Which expression will find the cost of the tax on the jacket
Why do some merchants, particularly smaller businesses, set a minimum purchase of $10 for any credit card transaction, or simply refuse to take any sort of bank card from consumers?
Answer:
Just look at the one above me
Step-by-step explanation:
Please help me!! find the solution of this system of equations -x + 5y=-18 5x - 9y= 10
Use <,>,or = to compare 0.36 and 0.4.
NEED HELP ASAP DUE TOMORROW AND ITS REALLY LATE WHERE I AM
How much is Pete's 12% commission on $50,00 in sales
The longest straight line that can be drawn to connect two point on the circumference of a circle whose radius is 9 inches is
Answer:
18 inches.
Step-by-step explanation:
We can connect two points of a circle in many ways, as you can see in the picture below.
The longest straight line that you can draw to connect two points is the diameter, that is, the straight line that passes through the center of the circle.
If the circle has 9 inches of radius the diameter will be 9+9 = 18 inches.
A restaurant catered a party for 40 people. A child’s dinner (c) cost $11 and an adult’s dinner (a) cost $20. The total cost of the dinner was $728. How many children and adults were at the party? Use the table to guess and check.
8 children and 32 adults
9 children and 31 adults
10 children and 30 adults
12 children and 28 adults
a+c=40
c=40-a
11c +20a=728
11(40-a)+20a=728
440-11a +20a=728
440+9a=728
9a = 288
a=288/9 = 32
32 adults
8 children
Question 4(Multiple Choice Worth 5 points)
(05.03 MC)A graph is shown below:
A graph is shown. The values on the x axis are 0, 3, 6, 9, 12, and 15. The values on the y axis are 0, 9, 18, 27, 36, and 45. Points are shown on ordered pairs 0, 36 and 3, 27 and 6, 18 and 9, 9 and 12, 0. These points are connected by a line
What is the equation of the line in slope-intercept form?
y = 36x − 3
y = −3x + 36
y = −3x + 12
y = −12x + 3
Answer:
y = -3x + 36
Step-by-step explanation:
first let's start with a formula.
y = mx + b
m equals the slope and b equals the y intercept.
slope can also be indetified as a rate of change.
so, looking at the graph we can see that the y intercept is (0, 36) or 36 and the rate of change is 3 subtracted.
sorry if this is wrong im not too sure myself. and sorry this is 5 years late, but alas it's too late to turn back now since i have already wrote all this.