Answer:
x =(2+√40)/18=(1+√ 10 )/9= 0.462
or:
x =(2-√40)/18=(1-√ 10 )/9= -0.240
Consider the line y=9x-5. Find the equation of the line that is perpendicular to that line and passes through the point (-3,-3)
Answer:
y=(-1/9)x-(10/3)
Step-by-step explanation:
Since the line is perpendicular to y=9x-5, the slope of that line would be the opposite of the reciprocal of the original slope value. In this case, the slope of the line would be -1/9. So we have y=(-1/9)x+? Since we know a point, (-3, -3), we can input this back into our original equation and we have: -3=(1/3)+? We simplify and we have ?=-10/3. Therefore the final equation of the line that is perpendicular to that line and passes through the point (-3,-3) is y=(-1/9)x-(10/3).
please help worth a lot
Answer:
(-2, -3)
Step-by-step explanation:
when its relected its just flipping over the horizontal axis (x-axis) so in turn that is the answer! :) hope this helped you
How many different 4 letter passwords can be created if the letters can be
repeated?
Answer:358800
Number of dispositions of 4 letters without repetitions of the alphabet (26 letters): 26*25*24*23=358800
Step-by-step explanation:
Translate the sentence into an inequality.
The sum of six times a number and five is greater than the difference of three times a number and two.
3. Consider the straight line x + y = 1 and the family of straight lines that pass
through the origin given by y = mx. As m changes the line rotates about the
origin. Solve these two systems of linear equation and find their points of inter-
section. Is there always a solution - If yes, briefly explain why. If not - for what
a
values of m is there no solution.
Answer:
solution: (1/(1+m), m/(1+m))no solution for m = -1 (lines are parallel)Step-by-step explanation:
Two distinct lines will always have a point of intersection, provided they are not parallel. That is, the system of equations {x +y = 1, y = mx} will have a unique solution as long as m ≠ -1.
The solution to the system can be found by substitution:
x +mx = 1
x(1 +m) = 1 . . . . factor out x
x = 1/(1+m) . . . . . divide by the coefficient of x; we must have m ≠ -1
y = m/(1+m) . . . . find the y-coordinate of the solution
The point of intersection is (1/(1+m), m/(1+m)).
__
The above solution is undefined when the denominator is zero: m = -1. There is no solution for m = -1.
Which segments are perpendicular to
CD.
Answer:
GF where G is at (6,5) and F is at (10,2)
Step-by-step Explanation:
Perpendicular lines always have the negative reciprocal as the other line as their slope. This is such that (1/3) × (-3/1) = -1, so -3/1 is the negative reciprocal to 1/3.
This means we are looking for a line with the slope -3/4, and we can find the slopes by using the formula (y2 - y1)/(x2 - x1).
For the first option, LM, we get (9 - 3)/(-10 - 2) = 6/-12 = -1/2, so it is not this.
For the second option, GF, we get (2 - 5)/(10 - 6) = -3/4, which is the slope we were looking for. This means that the second option is our answer.
I hope this helps!
Find the product of -8y^2(2y^2+7y-5) PLEASE HELP
What is the solution to 4(y–3)+19=8(2y+3)+7 ? A. −12 B. 12 C. −2 D. 2
Answer:
C. -2
Step-by-step explanation:
4(y–3)+19=8(2y+3)+7
4y-12+19=16y+24+7
4y+7=16y+31
-12y=24
12y=-24
y=-2
Answer:
4(y-3)+19=8(2y+3)+7
4y -12 +19=16y+24+7...
-12+19-24-7=16y-4y
-24=12y÷12
-2=y...
•
•. • C.-2...
Explain why knowledge of statistics is important.
Answer:
Statistical knowledge helps you use the proper methods to collect the data, employ the correct analyses, and effectively present the results. Statistics is a crucial process behind how we make discoveries in science, make decisions based on data, and make predictions.
Saraid is dividing 1/4 pound of cashews into 5 plastic bags. What
fraction of a pound of cashews will be in each plastic bag?
Draw a model to help you solve.
(Please draw a model )
Answer: 20 Pounds
Step-by-step explanation:
1/4 X 5 = 1/20 then reverse it
20/1 = 20 Pounds
(may not be correct!!!)
write as many mathematical expressions or equations as you can about the image include a fraction, a decimal number, or a percentage in each.
Fundraiser
our Goal
250,000
Answer:
110/250
Step-by-step explanation:
If the fraction goal is 250 then put the 250 as the denomanator and the 110 as the top common denomanator.
Percentage of funds raised is 44 % , Fraction of funds raised is (11/25) and Fraction of funds raised in decimal form is 0.44.
What is Percentage?To find the % of a number, divide it by its value, then multiply the result by 100. Percentage is a relative value that denotes one tenth of any quantity. As one percent (symbolised as 1%) is equal to one tenth of anything, 100 percent stands for everything, while 200 percent refers to double the amount specified.
As per the given data:
In the diagram given, we can find the total amount of funds to be raised and the amount of fund which is raised currently.
Total amount to be raised = $250,000
Amount already raised = $110,000
Percentage of funds raised = (110,000/250,000) × 100 = 44 %
Fraction of funds raised = (110,000/250,000) = (11/25)
Fraction of funds raised in decimal form = 0.44
Hence, Percentage of funds raised is 44 % , Fraction of funds raised is (11/25) and Fraction of funds raised in decimal form is 0.44
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(The question is incomplete, the complete question is given below.)
If b-10 = 5, what is the value of b-6?
The answer is 21. Hope this Helps!
the smiths spend 11% of their budget on entertainment. their total budget this year is $1,000 more than last year, and this year they plan to spend $4,620 on entertainment. what was their total budget last year?
Answer: $41000 Was the Smiths family budget last year.
Step-by-step explanation:
First you take $4620 and DIVIDE it by .11 you will get $42000 and since last year had $1000 less to spend you subtract $1000 from $42000 to get $41000 for the budget last year.
The difference between 2.4 and a number is 1.61, as shown below. What number should go in the box to complete the subtraction problem?
Answer:
4.37
Step-by-step explanation:
23.8+ 4.37= 28.17
The bike store marks up the wholesale cost of all of the bikes they sell by 30%.
Andre wants to buy a bike that has a price tag of $125. What was the wholesale cost of this bike?
The wholesale price was $
( 10 / 13 ) * 125 = original price
( 10 / 13 ) * 125 = 96.15
A promissory note for $3600.00 dated May 15, 2012, requires an interest payment of $370.00 at maturity. If interest is at 9.6% compounded monthly, determine the due date of the note. (hint: find n then convert it into days and use excel sheet to add it to issue date)
In the box below show these parameters:
PV=....., FV=.....
The due date of the promissory note is May 24th 2013.
Data;
Present Value (PV) = $3600Interest = $370Future Value (FV) = PV + I = $3600 + $370 = $3970Due Date of the NoteTo calculate the due date of the note, we can use the formula of future value of the note.
[tex]FV = PV (1 + \frac{r}{n})^d\\ 3970 = 3600 (1 + \frac{9.6}{12})^d\\3970 = 3600(1+0.008)^d\\\frac{3970}{3600} =(1.008)^n[/tex]
Let's take the natural log of both sides
[tex](1.008)^n = (\frac{3970}{3600})\\ n\ln(1.008) = \ln(\frac{397}{360})\\ n = 12.28[/tex]
This is approximately 12 months and 9 days.
The due date of the promissory note is May 24th 2013.
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Solve for x.
[tex] \: \: \: [/tex]
[tex] \: \: \: \: \: [/tex]
Step-by-step explanation:
In the figure,
145° and 3x - 5 are vertically opposite angles which are equal, so
=> 3x - 5 = 145°
=> 3x = 145 + 5
=> 3x = 150°
=> x = 150°/3
=> x = 50°
Hope it helps you!!Answer:
x = 50
explanation:
vertically opposite angles are of equal measure.
solve:
3x - 5 = 145
3x = 145 + 5
3x = 150
x = 50
if the sides of a triangle QRS are QR=10X-6, RS=6X-15,QS=X+24, find a range of possible values for X?
The range of the possible values for X will be;
⇒ X < 5
What is mean by Triangle?
A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
The sides of a triangle QRS are;
⇒ QR=10X - 6,
⇒ RS = 6X - 15,
⇒ QS = X + 24,
Now,
We know that;
The sum of two sides of a triangle is always greater than the third side.
So, We can formulate;
⇒ 10X - 6 < (6X - 15) + (X + 24)
⇒ 10X - 6 < 7X + 9
⇒ 10X - 7X < 9 + 6
⇒ 3X < 15
⇒ X < 5
Thus, The range of the possible values for X will be;
⇒ X < 5
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Find the surface area of a triangular prism
Answer:
The formula that is used to calculate the surface area of a triangular prism is, Surface area = (Perimeter of the base × Length of the prism) + (2 × Base Area) = (S1 + S2+ S3)L + bh; where 'b' is the bottom edge of the base triangle, 'h' is the height of the base triangle, L is the length of the prism and S1, S2 and S3 are the edges of the base triangle.
Can i have help with i cant figure this out
Answer:
The circumference of a circle with radius 48 is 301.6(*)
Step-by-step explanation:
Formulas:
d = 96C = 302C = 2·π·r C = π·d C = √4·π·A π = 3.1415A = area of the circleC = circumference or perimeterr = radius, d = diameterStep-by-step Solution:
Circumference of a cicle in terms of radius:Circumference = 2·π·r = 2·3.14·48 = 301.58(*)In terms of diameter:Circumference = π·d = 3.14·96 = 301.44(*)In terms of area:Circumference C = √4·π·A = √4·π·7238 = 301.58(*)(*) 301.6 cm exactly or limited to de precision of this calculator (13 decimal places).
Note: for simplicity, the operations above were rounded to 2 decimal places and π was rounded to 3.14.
A circumference of 301.6 centimeters is equal to:
0.003016 kilometers (km)3.016 meters (m)3016 millimeters (mm)0.00187406 miles (mi)3.29834 yards (yd)9.89501 feet (ft)118.74 inches (in)Answer:
301.6
Step-by-step explanation:
circumference = πD
Diameter = r x 2
diameter = 48 x 2 = 96
96 x π = 301.592895
301.6 to 1dp
If you need further help, let me know!
- profparis
What is the name of our number system?
decimal system is the name of our number system.
Answer:
Our Number System is Hindu Arabic Number System.
The digits are: 0,1,2,3,4,5,6,7,8,9
A triangle has side lengths of 54, 72 & 90. Is it a right triangle? Explain.
No, there always has to be an odd number for it to work out to be a right triangle.
No, it is obtuse.
No, it is acute.
Yes, the Pythagorean Theorem works out to be equal.
Yes, because 52 + 72 > 90.
Answer: C: Yes, the Pythagorean Theorem works out to be equal.
Step-by-step explanation:
to test if a triangle is right angled or not, just use the Pythagorean Theorem:
a²+b²=c², where a and b are the two shorter sides of the triangle, and c is the longest side.
plugging this in:
54²+72² ?= 90²
2916 + 5184 ?= 8100
8100 = 8100
Yes! Its correct, so we know that this triangle is a right triangle. the justification is C: Yes, the Pythagorean Theorem works out to be equal.
i need help with this question
Answer:
60
Step-by-step explanation:
10x = (21x - 3)/2
20x = 21x - 3
x = 3
measure of arc HF = 21x - 3 = 21(3) - 3 = 60
Which algebraic property is used to rewrite 2(x + 3) as 2x + 6? (1 point)
Answer:
The distributive property
Step-by-step explanation:
2 is being used to multiply both terms (x and 3)
Hope this helps!
Answer:
Distributive property
Step-by-step explanation:
Distributive property: a*(b + c) =(a*b) + (a*c)
2(x + 3) =2*x + 2*3
=2x + 6
How much of a premium do you pay for a steel house worth $190,000 with $49,000 worth of content in a suburban area?
A. $1258.70
B. $1372.70
C. $1589.90
D. $2304.70
Answer:
D. $2304.70
Step-by-step explanation:
a typical 2000 square foot house may cost anything from $200000 to $300000
Hope it helps!!!brainliest pls!!!!Step-by-step explanation:
How much of a premium do you pay for a steel house worth $190,000 with $49,000 worth of content in a suburban area?
B. $1372.70
Write the equation which is the sum of the three numbers y, y l and y 2.
Answer:
3y + 3 or 3(y+1)
Step-by-step explanation:
y + y + 1 + y + 2
= 3y + 3
= 3(y+1)
Find the area of the polygon
Answer:
Area of a regular polygon formulas
Step-by-step explanation:
area = n * a * ri / 2 , having ri - incircle radius (it's also an apothem - a line segment from the center to the midpoint of one of its sides)
area = perimeter * ri / 2 , given ri and polygon perimeter.
area = n * (ri)² * tan(π/n) , given ri.
A regular octagon has an apothem of approximately 3.5 cm and a perimeter of approximately 23.2 cm.
Find the area of the octagon.
Answer:
81.2 cm
Step-by-step explanation:
A number is greater than or equal to three times another number. what are the numbers?
Answer:
THE AWNSWER IS A≥3B
Step-by-step explanation:
A≥3B
Min50 , Q1 62, median 84, Q3 96, Max 99
Using the interquartile range, which of the following are outliers? Select all correct answers.
Select all that apply:
3
6
21
60
Answer:
3 and 6
Step-by-step explanation:
IQR = Q3-Q1=96-62=34
Lower Outlier = Q1 - 1.5*IQR = 62 - 1.5*34 = 11
Any Value under 11 is Considered as Outlier
Then 3 and 6 are Outliers
Upper Outlier = Q3 + 1.5*IQR = 96 + 1.5*34 = 147
Any Value Above 147 is Considered as Outlier
There is no Value above 147
The Only Outliers are 3 and 6