Answers
The equation of the line that is perpendicular to y = -5/2 x + 1 and passing through (10, 3) will be y = 2/5 x + 1.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
The equation of the perpendicular line will be given as
y = mx + c
The given equation is y = -5/2 x + 1.
The slope of the line is -5/2.
Then the product of the slope of the perpendicular lines is a negative one.
-5/2 × m = - 1
m = 2/5
Then the equation will be
y = 2/5 x + c
Then the equation is passing through (10, 3). Then we have
3 = 2/5 × 10 + c
3 = 2 + c
c = 1
Then the equation is y = 2/5 x + 1.
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Related Questions
HELP! I'll give brainliest.
2x+6 ≤x+3<3x+11
Solve the inequality, and please show your work. Thanks in advance!
Answers
Answer:
-4 < x ≤ -3
Step-by-step explanation:
The compound inequality needs to be separated into its two parts in order to obtain a solution.
__
We can do a little preliminary work to make the solutions easier.
2x +6 ≤ x +3 < 3x +11 . . . . . given
x +3 ≤ 0 < 2x +8 . . . . . . . . subtract x+3
left sidex +3 ≤ 0
x ≤ -3 . . . . . . . subtract 3
right side0 < 2x +8
0 < x +4 . . . . divide by 2
-4 < x . . . . . . subtract 4
solutionNow, we can rearrange these back into a compound inequality.
-4 < x ≤ -3
_____
The graphing calculator shows the same solution.
It was a busy evening at the restaurant. Ron waited on 48 tables for 3 hours. Joe served 45 customers in 5 hours. Sue waited on 34 tables for 2 hours. Who had the busiest day serving the most number of customers per hour?
Answers
Answer:
Sue
Step-by-step explanation:
34/2= 17 which is the highest out of them all.
Question 1-3
Which gives the exact value of the equation 15x=3?
Answers
Answer:
The value of x in 15x=3, is 1/5 or 0.2
At the beginning of each month, $200 is deposited into a retirement fund. The fund earns 6% annual interest, compounded monthly, and paid into the account at the end of the month. How much is in the account if deposits are made for 10 years?
Answers
Answer:
this one hard
Step-by-step explanation:
3. Look at the system below. What value could you use for "m" to make the lines
perpendicular?
1
y= +8
y = m2 - 6
Answers
Answer:
what would make the lines perpendicular is using the first y as a another oart of the end of the second why
Step-by-step explanation:
y= = m2-6+8
If sample bias exists, then we can easily trust using the sample as representative of the
whole population. True or False
Answers
Explanation:
If the sample is biased, then it does not represent the population. A biased sample favors one or more groups over others.
For example, if the sample consisted of only men, then the sample is biased toward men and leaves out women from the group. Hence, this sample does not represent everyone.
Question 14(Multiple Choice Worth 1 points)
(03.03 MC)
The map shows the location of a mall, library, and school in a city:
Coordinate grid shown from negative 16 to positive 16 on x axis at intervals of 2, and negative 10 to positive 10 on y axis at intervals of 2. A triangle is shown with vertices labeled Library, Mall, and School. Library is the ordered pair negative 15, 6, Mall is the ordered pair 15, 6, and School is the ordered pair 15 and negative 10.
Mike traveled from the school to the mall and then from the mall to the library. Henry traveled from the school to the library. How many more miles did Mike travel than Henry?
10 miles
12 miles
34 miles
46 miles
Answers
Answer: mike traveled 34 miles
a bag of suger costs $2.12 & contains 145 tablespoons of suger. what is the cost per tablespoon?
Answers
Answer:
0.01462069 cost per tablespoon
Step-by-step explanation:
a bag of sugar costs $2.12
145 tablespoons of sugar
145:2.12 is the ratio
1:x where x represents per tablespoon cost
2.12 / 145 = 0.01462069 which rounds up to 0.02
Check if it correct:
145 x 0.01462069 = 2.12
What’s 2 x 2^18 divided 329 + 512789
Answers
Answer:
1.021769
Step-by-step explanation:
(2 x 2^18 )/(329 + 512789)
=(2 x 262.144)/(513118)
=(524.288)/(513118)
=1.021769
Help with a exit ticket
Answers
Answer:
4. 132°
5. 41°
Step-by-step explanation:
Q4
The arc length is twice the measure of the inscribed angle∡RP = 68° × 2 = 132°Q5
2∠ABC = ∡AC2(5x + 11) = 16x - 2610x + 22 = 16x - 2616x - 10x = 22 + 266x = 48x = 6∠ABC = 5(6) + 11∠ABC = 41°mRP
The angle will be twice the m<Q
So
it's
2(68)136°#2
2(5x+11)=16x-2610x+22=16x-2648=6xx=8m<ABC
5(8)+1140+1151Determine the equation of the circle graphed below.
Answers
Answer:
x^2 + y^2 = 49
Step-by-step explanation:
The equation of a circle is given by
( x-h) ^2 + (y-k) ^2 = r^2
(h,k) is the center of the circle and r is the radius
The circle is centered and (0,0) and the radius is 7
( x-0) ^2 + (y-0) ^2 = 7^2
x^2 + y^2 = 49
Average Allowance Amount $20, $15, $10, $5 with frequency ll, 5, 10, 3. What is the range of the allowance amounts?
Answers
Answer:
$15
Step-by-step explanation:
Range = Highest number- Lowest number
Range=20-5
=$15
What is the value of x?
A. 10.4
B. 52
C. 61.6
D. 92
Answers
Answer:
A. 10.4
Step-by-step explanation:
180-128=52÷5=10.4
A tractor tire has a radius of 28 inches. If the tire is rotating at 80 degrees per second (i.e. it takes 9/2 seconds to make one revolution), how fast is the tractor traveling in miles per hour? Round your answer to the nearest 0.01 mph. Do not include units in your answer.
Answers
The speed of the tractor's tire by means of the information given is; 547.06.
How fast is the tractor moving?According to the task content;
It follows that the radius of the tire is; 28 inches and the period taken for one revolution is; 4.5s.On this note, the speed of the tractor is;
Speed = (πr²) ÷ 4.5
Speed = (3.14×28²)/4.5
Speed = 547.06
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What is the solution of x = 2 + StartRoot x minus 2 EndRoot?
Answers
Answer:
x = 2 and x = 3
Step by step explanation:
[tex]~~~~~~x = 2 +\sqrt{x-2}\\\\\implies x -2 =\sqrt{x-2}\\\\\implies (x-2)^2 = x-2 ~~~~~~~~~~~~~~~;[\text{Square both sides}]\\\\\implies x^2 -4x+4-x +2 = 0\\\\\implies x^2-5x+6 = 0\\\\\implies x^2-3x-2x+6=0\\\\\implies x(x-3)-2(x-3) = 0\\\\\implies (x-2)(x-3) = 0\\\\\implies x =2,~~x = 3\\\\\textbf{Verifying solutions:}\\\\\text{For x =2,}\\\\2= 2+\sqrt{2-2} \implies 2 = 2~ \\\\ \text{So, x = 2 is a solution.}\\\\\text{For x =3,}\\\\3 = 2+\sqrt{3-2}\implies 3=2+1 \implies 3=3\\ \\[/tex]
[tex]\text{So, x = 3 is a solution.}[/tex]
I can not figure out the length of xy
Answers
Answer:
The segment bisector is MN
Step-by-step explanation:
MN divides XY into two equal lengths
so, the two dashes on the lines, the | represent those two portions are equal. also it alr says that MN is the segment bisector, and bisector means that something is split in half.
so, this basically means we can set 3x+1 and 8x-24 equal to each other
3x+1=8x-24
so we need to split up the numbers so x is on one side. the easiest way to do this is to move the -24 to the other side. to do this, we need to balance the equation. if we move one thing to one side, we need to flip the sign. so -24 is negative, so we need to make it +24 and add it to 1
3x+25=8x
now, move 3x to the other side, but since it’s positive, make it -3x. subtract it from 8x
25 = 5x
now, x is attached to 5 by multiplication so we need to do the opposite of multiplication, division. divide 25 by 5 to isolate x
5 = x
so since x = 5, we can plug it back in to any of the segments ill pick 3x+1
3(5)+1
that equals 16
since we know both lines are equal in length, we can double 16, which equals 32
Solve the following simultaneous equations in ELIMINATION way
Answers
Answer:
Here is the solution...hope it helps:)
can you please help?
Answers
Tim is playing a game. His score in round 1 is 1.7 points, in round 2 is 5.1 points, in round 3 is 15.3 points, and it continues to increase in the same way. Is his score a geometric sequence? If so, write a recursive definition for the sequence.
Answers
The recursive definition for the geometric sequence is given as follows:
[tex]a_n = 3a_{n-1}, a_1 = 1.7[/tex]
What is a geometric sequence?A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.
The nth term of a geometric sequence is given by:
[tex]a_n = a_1q^{n-1}[/tex]
In which [tex]a_1[/tex] is the first term.
The recursive definition of a geometric sequence is given by:
[tex]a_n = qa_{n-1}[/tex]
In this problem, we have that the first term and the common ratio are given, respectively, by:
[tex]a_1 = 1.7, q = \frac{15.3}{5.1} = \frac{5.1}{1.7} = 3[/tex].
Hence the recursive definition is given by:
[tex]a_n = 3a_{n-1}, a_1 = 1.7[/tex]
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“the product of 6 and
9 decreased by 8"
Answers
Answer:
46
Step-by-step explanation:
“the product of 6 and 9 decreased by 8"
“the product of 6 and 9" = 6 * 9
"decreased by 8" = - 8 (subtract 8 from whatever, in this case 6 * 9)
“the product of 6 and 9 decreased by 8" = 6 * 9 - 8 = 46
what is the area of the regular polygon shown below?
Answers
Because the apothem will always be half of the length of one side. The length of one side is 28 in.
The formula for the area is:
Area = (number of sides × length of one side × apothem)/2
Working out:
A = (7 times 28 times 14) divided by 2 = 1372 in. squared
Hope this helps!
Please give Brainliest!
What is the measure of angle θ in the graph?
angle drawn in standard position on the unit circle, extending counterclockwise in the second quadrant
Group of answer choices
−135°
45°
135°
225°
Answers
The measure of the angle θ in the graph as described in the task content is; 135⁰.
What is the measure of angle θ in the graph?From the task content, it follows that we are required to determine the measure of angle θ in the graph as described.
Since, angle θ transverses the first quarter in the counterclockwise direction, it follows that the measure of angle θ by convention is; 90+45 = 135⁰.
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10. What's the volume of a block of ice measuring 3 meters long, 1.5 meters wide, and 2 meters high?
© A. 12 cu. m
O B. 900 cu. m
0 C. 6cu. m
• D. 9 cu. m
Answers
Answer:
D.9 cu.m
Step-by-step explanation:
measurements varies,so it is a cuboid
volume of cuboid= length×breadth×height
=3×1.5×2
=9 cu.m
A piece of paper is 10 1 2inches long. If you put 3 2inch sticky notes end to end across the length of the paper, how many sticky notes will fit?
Answers
10 1/2 by 2.
How to multiply 10x 3 1/2
Answers
Answer:
35
Step-by-step explanation:
put 3 1/2 as a decimal = 3.5, now move the dot one place to the right to times by ten = 35.
What is the approximate value of the correlation coefficient for the given graph?
Price of the Car ($1,000)
40
35•
30. •
25. •
20. •
15. •
10. •
5. •
0 1 2 3 4 5 6 7
Number of Years
A. 1
B. 5
C. 3
D. -1
Answers
Answer:
the answer is a bc the 1 in this makes sense
Step-by-step explanation:
thats is the best answer i think
The approximate value of the correlation coefficient for the given graph is 5.
To calculate the correlation coefficient, we first need to determine the equation of the line that passes through the points (0, 35) and (6, 5).
The formula for the equation of a straight line is y = mx + b, where "m" is the slope and "b" is the y-intercept.
Given two points (x₁, y₁) = (0, 35) and (x₂, y₂) = (6, 5), we can find the slope "m" as follows:
m = (y₂ - y₁) / (x₂ - x₁)
m = (5 - 35) / (6 - 0)
m = -30 / 6
m = -5
Now that we have the slope "m" as -5, we can find the y-intercept "b" by using one of the given points, say (0, 35):
y = mx + b
35 = -5(0) + b
35 = b
So, the equation of the line is y = -5x + 35.
Now, we can use this line to calculate the correlation coefficient "r" for the given graph.
The correlation coefficient "r" is given by the formula:
r = ∑((xᵢ - x')(yᵢ - y')) / √(∑(xᵢ - x')² ∑(yᵢ - y')²)
where (xᵢ, yᵢ) are the data points, x' is the mean of the x-values, ȳ is the mean of the y-values, and ∑ represents the sum.
Without actual data points, we can still deduce the correlation coefficient from the slope "m" of the line. The correlation coefficient for a linear relationship is equal to the square root of the coefficient of determination (R-squared), which is the square of the slope "m" in this case.
So, the correlation coefficient (R) is:
R = √((-5)²) = √25 ≈ 5
Therefore, the approximate value of the correlation coefficient for the given graph is 5.
The correct option is: B. 5
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Complete Question:
What is the approximate value of the correlation coefficient for the given graph?
A. 1
B. 5
C. 3
D. -1
sally picks seashells by the seashore.she lost 17 of them on her way home.with the remaining seashells,she planned to fill 5 jars with the same number of seashells in each.how many seashells did she originally pick?
Answers
Answer:
5
Step-by-step explanation:
PLEASE HELP PLEASE I WILL GIVE BRIANLIEST
Answers
Answer:
2:3
Explanation:
We can simplify the ratio 600 : 900 by dividing both terms by the greatest common factor (GCF).
The GCF of 600 and 900 is 300.
Divide both terms by 300.
600 ÷ 300 = 2
900 ÷ 300 = 3
Therefore:
600 : 900 = 2 : 3
Answer:
2:3
Step-by-step explanation:
hope it helps :>
5. Presidential elections are held every
4 years. There were Presidential
elections in 1840, 1844, 1848, and 1852.
When were the next three Presidential
elections? Describe a feature of
the pattern.
Answers
Answer:
1856, 1860, 1864
Step-by-step explanation:
add four to the previous year to get the year of the next elections
Answer:
1856, 1860, 1864
Step-by-step explanation: Pretty sure this is correct.
40 points!!! Please help me solve
Answers
Answer:
34.6
Step-by-step explanation:
In this triangle we have an angle which is 38° and the side opposite to it which is 27 and we have to find the adjacent side
There is only one formula which have these two sides
tan
tan∅ = opposite ÷ adjacent
tan 38° = 27 ÷ x
x = 27 ÷ (tan 38°)
x = 34.56
x≈ 34.6