Answer:
$3.25
Step-by-step explanation:
12c = 39
12/12 =0
39/12 = 3.25
c = 3.25
A line segment AB has the coordinates A (2,3) AND B ( 8,11) answer the following questions (1) What is the slope of AB? (2) What is the length of AB? (3) What are the coordinates of the mid point of AB?(4) What is the slope of a line perpendicular to AB ?
Answer:
1) The slope of the line segment AB is [tex]\frac{4}{3}[/tex].
2) The length of the line segment AB is 10.
3) The coordinates of the midpoint of the line segment AB is [tex]M(x,y) = (5,7)[/tex].
4) The slope of a line perpendicular to line segment AB is [tex]-\frac{3}{4}[/tex].
Step-by-step explanation:
1) Let [tex]A(x,y) = (2,3)[/tex] and [tex]B(x,y) = (8,11)[/tex]. From Analytical Geometry, we get that slope of AB ([tex]m_{AB}[/tex]), dimensionless, is determined by the following formula:
[tex]m_{AB} = \frac{y_{B}-y_{A}}{x_{B}-x_{A}}[/tex] (1)
If we know that [tex]x_{A} = 2[/tex], [tex]x_{B} = 8[/tex], [tex]y_{A} = 3[/tex] and [tex]y_{B} = 11[/tex], the slope of the line segment is:
[tex]m_{AB} = \frac{11-3}{8-2}[/tex]
[tex]m_{AB} = \frac{4}{3}[/tex]
The slope of the line segment AB is [tex]\frac{4}{3}[/tex].
2) The length of the line segment AB ([tex]l_{AB}[/tex]), dimensionless, can be calculated by the Pythagorean Theorem:
[tex]l_{AB} =\sqrt{(x_{B}-x_{A})^{2}+(y_{B}-y_{A})^{2}}[/tex] (2)
If we know that [tex]x_{A} = 2[/tex], [tex]x_{B} = 8[/tex], [tex]y_{A} = 3[/tex] and [tex]y_{B} = 11[/tex], the length of the line segment AB is:
[tex]l_{AB} = \sqrt{(8-2)^{2}+(11-3)^{2}}[/tex]
[tex]l_{AB} = 10[/tex]
The length of the line segment AB is 10.
3) The coordinates of the midpoint of the line segment AB are, respectively:
[tex]x_{M} = \frac{x_{A}+x_{B}}{2}[/tex] (3)
[tex]y_{M} = \frac{y_{A}+y_{B}}{2}[/tex] (4)
If we know that [tex]x_{A} = 2[/tex], [tex]x_{B} = 8[/tex], [tex]y_{A} = 3[/tex] and [tex]y_{B} = 11[/tex], the coordinates of the midpoint of the line segment AB are, respectively:
[tex]x_{M} = \frac{2+8}{2}[/tex]
[tex]x_{M} = 5[/tex]
[tex]y_{M} = \frac{3+11}{2}[/tex]
[tex]y_{M} = 7[/tex]
The coordinates of the midpoint of the line segment AB is [tex]M(x,y) = (5,7)[/tex].
4) From Analytical Geometry we can determine the slope of a line perpendicular to line segment AB as a function of the slope of the line segment:
[tex]m_{\perp} = -\frac{1}{m_{AB}}[/tex] (5)
If we know that [tex]m_{AB} = \frac{4}{3}[/tex], then the slope of a line perpendicular to AB is:
[tex]m_{\perp} = - \frac{1}{\frac{4}{3} }[/tex]
[tex]m_{\perp} = -\frac{3}{4}[/tex]
The slope of a line perpendicular to line segment AB is [tex]-\frac{3}{4}[/tex].
given that 3 feet equal 1 yard, how many yards equals 1 feet ?
Answer:
0.333333
Step-by-step explanation:
Hope this helps and have a great day!
Solve the following for y: 9x − 3y = 18 (5 points) y = −3x − 6 y = 3x − 6 y = −3x + 6 y = 3x + 6
Answer:
Y = 3x - 6
Step-by-step explanation:
- 3y = -9x + 18
divide by -3
y = 3x - 6
Need urgent help on this! my grade is falling :(
Answer:
the answer is b
Step-by-step explanation:
Find the distance across the bridge
On Monday, Byron spent $8.00 on lunch to purchase two tacos and one burrito. On Wednesday, he purchased one enchilada, one taco, and one burrito and spent $8.50. On Friday, it cost Byron $10.00 for two enchiladas and two tacos. If t represents the cost of a taco, b represents the cost of a burrito, and e represents the cost of an enchilada, which system of equations can be used to find the cost of each?
Answer:
2t+b=8.00
e+t+b=8.50
2e+2t=10.00
Step-by-step explanation:
What is the equation for the line in slope-intercept form?
Enter your answer in the box. _____
4
Step-by-step explanation:
so the slope equation is y2-y1 over x2-x1 so by that logic 11-7 =4 and 4-3= 1 therefore it would equal all to 4 over 1 and by dividing that you get 4.
Plz help ASAP this is important
Answer:
Option 3
Step-by-step explanation:
10x11=110 +3=113
113/11
Answer:
30/11
Step-by-step explanation:
this answer is 30/11
i need help with this slope...
Answer:
The slope is 3/2
Step-by-step explanation:
(x1,y1)=(12,16)
(x2,y2)=(34,49)
m= y2−y1 /x2−x1
49−16 /34−12
33 /22
3 /2
Answer:
-3/2
Step-by-step explanation:
y1-y2 / x1-x2
16- 49/12-34
33/22 or -3/2
I hope this helped, Have a Wonderful Day!!
On a map, the scale is ½ inch to 300 miles. If the trip from Corpus Christi to El Paso is 600 miles, how far apart will those cities appear on the map (in inches)?
Answer:
Step-by-step explanation:
How many miles from El Paso to Corpus Christi?
The total driving distance from El Paso, TX to Corpus Christi, TX is 699 miles or 1 125 kilometers.
Answer:
1 inch
Step-by-step explanation:
1/2 inch = 0.5 inch
0.5/300 = n/600
0.5 * 600 = n * 300
300 = 300n
1 = n or n = 1
7x+8y=-23
3x - 16y= 29
Answer:
(-1, -2)
Step-by-step explanation:
PLZ HELP NOW!!!! PLEASEE
Is it A or B or C or D
The answer is A because it makes both triangles congruent
A baseball weighs 25.75 ounces less than a bat. Write an equation the represents the relationship between the weight of a baseball and a bat in terms of the weight of the box,w.
Answer:
Step-by-step explanation:
So if a baseball weighs 25.75 ounces less than the bat and it says what is the relationship between the ball and the bat so if the baseball weighs less than the bat then that would be 25.75<B=W I believe
Right triangle FGH has midsegments of 15,36, and 39 centimeters given that area of a triangle is represented by the formula A=1/2bh determine the area of triangle FGH
A.180cm2
B.1080cm2
C.1170cm2
D.2160cm2
Answer:
Step-by-step explanation:
according to the midsegment theorem, a midsegment of a triangle is parallel to a side of a triangle and its length is 1/2 length of the side.
1/2FG= 15, SO FG=30,
1/2 GH=36 SO GH=72
AREA = 1/2(72*30)=1080 CM^2
Answer:
1/2(72*30)=1080 CM^2
Step-by-step explanation:
don't rember how i got it, just remeber having this question on my work.
Samantha invested $670 in an account paying an interest rate of 5.5% compounded daily. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $1,740?
Answer:
17 years
Step-by-step explanation:
The formula for the value of an account earning compound interest can be used to find the number of years. That formula is ...
A = P(1 +r/n)^(nt)
where P is the principal invested at annual rate r compounded n times per year for t years.
__
Solving for t, we find ...
A/P = (1 +r/n)^(nt) . . . . . . divide by P
log(A/P) = nt·log(1 +r/n) . . . . take logarithms
t = log(A/P)/(n·log(1 +r/n)) . . . . . divide by the coefficient of t
For the given values, the time required is ...
t = log(1740/670)/(365·log(1 +0.055/365)) ≈ 17.353
It would take about 17 years for the account value to reach $1740.
_____
Additional comment
The time-value-of-money (TVM) apps of your calculator or spreadsheet can be used to find the time period of interest. Here, setting P/Y = 1 gives N in years.
I need your help pls help me I make u big brain\
4 or d object is moving away at an increasing speed
What is 39/20 written as decimal ?
Answer:
1.95
Step-by-step explanation:
Evaluate: 12y+9d if y = 5 and d = 7
Answer:
123
Step-by-step explanation:
Substitute values of y and d into equation.
12y+9d = 12(5) + 9(7)
Evaluate.
12(5) + 9(7) = 60 + 63
Simplify.
60 + 63 = 123
Answer:
123
Step-by-step explanation:
12y + 9d
12(5) + 9(7)
60 + 63
123
Walt Disney creates Mickey Mouse. convert to passive voice
Answer:
Mickey mouse was created by Walt Disney.
Step-by-step explanation:
Active voice = Walt Disney creates Mickey Mouse. (subject, verb, object)
passive voice = Mickey mouse was created by Walt Disney. (object, verb, subject).
Help me out here pleaseeeeeeeeee
-5y + 6x = 40
3y - 8x = -46
Answer:
-2y-2x=-6
Step-by-step explanation:
-5y = 3y = -2y
6x - 8x = -2y
40 - 46 = -6
Answer:
Answer:
X=5
Y=-2
Step-by-step explanation:
trust the process
Which of the following is not necessarily true?
Answer:
A
Step-by-step explanation:
If RX = 2y + 2x, XT = 3y - 1, and US = 28 find the values of x and y.
Answer:
Step-by-step explanation:
The question is in this image.
A recipe for 45 biscuits uses
5
2
cups of flour. How many biscuits are made from each cup of flour?
Answer:
18
Step-by-step explanation:
Please give brainliest!
Answer:
18
Step-by-step explanation:
15
0 23.7
O 25.9
0 27.5
0 29.5
Answer:
Bro just look up trig triangle calculator
Step-by-step explanation
Answer:
27.5
Step-by-step explanation:
sin(33) = 15/x
x=15/sin(33)
Evaluate the limit, if it exists. PLEASE SHOW WORK
lim x 5 x^2-3x-10\2x-10
Answer:
-350
Step-by-step explanation:
5×2-3×-10/2×-10
=10-3×-50
=7×-50
=-350
which one of these is a rational number
A. square root of 9/2
B. square root of 13/16
C. square root of 34
D. square root of 49
Seven friends went out to lunch. The meal subtotal was $91.22, including tax. The restaurant has a policy that for parties of six or more, 18% tip is automatically added in. What is the total cost of the meal, including tip?
Answer:
$ 74.80
Step-by-step explanation:
The subtotal cost of the meal was $91.22 including tax.
The 18% tip is added for six or more.
The tip added should reduce the meal subtotal by 18 %
Reduce $91.22 by 18% to get ;
82/100 * 91.22 = $ 74.80
A bedroom measures 13.62 feet long and 11.5 feet wide. What is the most accurate measure of the area of the bedroom, in square feet?
Answer:
156.63 ft squared
Step-by-step explanation:
The bedroom is a rectangle.
Area of a rectangle- A=length times width
multiply the two numbers and you will get 156.63.
Be sure to add the units (feet).