Answer:
A
Step-by-step explanation:
d1 = 5.9 km
d2 = 4.9 km
d_av = (5.9 + 4.9)/2 = 10.8/2 = 5.4 km I think that's A
8 + 2 + (1/2) + (1/8) +...... Find the sum of the infinite series.
Triangle ABC is defined by the points A(2,9), B(8,4), and C(-3,-2).
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Complete the following equation for a line passing through point C and perpendicular AB.?
Answer:
5y - 6x = 8 or y = 6x/5 + 8/5
Step-by-step explanation:
let M1= gradient of line AB and M2= gradient of the second line
When two lines are perpendicular, the product of their gradients is -1
i.e, M1M2= -1
M2= -1/M1
A(2,9) and B(8,4)
gradient= (y2-y1)/(x2-x1)
M1= (4-9)/(8-2)
= -5/6
M2= -1÷ -5/6
-1 × -6/5= 6/5
Equation of the line passing through C(-3,-2)
[y-(-2)]/[x-(-3)= 6/5
(y+2)/(x+3)= 6/5
5(y+2)= 6(x+3)
5y+10=6x+18
5y= 6x + 8
y= 6x/5 + 8/5
As per the slope-intercept form of a straight line, the equation of the required line is 5y = 6x + 8.
What is the slope-intercept form of a straight line?The slope-intercept form of a straight line is: y = mx + c
Here, m = slope of the line , c = y-intercept
What is the relation between the slope of a line perpendicular to another line?If the slope of a line is 'a', then the slope of the line that is perpendicular to the given line is (- 1/a).
The given coordinates of the points A, B, C are (2, 9); (8, 4); and C(- 3, - 2) respectively.
Therefore, the slope of the line AB is (m)
= (y₂ - y₁)/(x₂ - x₁)
= (4 - 9)/(8 - 2)
= (- 5)/6
Slope of the required line is perpendicular to AB.
Therefore, the slope of the required line is
= - 1/(- 5/6)
= 6/5
This line passes through point C(- 3, - 2).
- 2 = - 3(6/5) + c
⇒ c = -2 + 18/5
⇒ c = 8/5
The equation of the required line is
y = (6/5) x + (8/5)
⇒ 5y = 6x + 8
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Identify the vertical asymptotes of f(x) = quantity x plus 6 over quantity x squared minus 9x plus 18. X = â’6 and x = â’3 x = â’6 and x = 3 x = 6 and x = â’3 x = 6 and x = 3.
The vertical asymptotes of the function are 3 and 6
Given the function
[tex]\frac{x+6}{x^2-9x+18}[/tex]
The vertical asymptotes of the function occur at the point where the denominator is zero.
Equate the denominator to zero.
x^2 - 9x + 18 = 0
Factorize the quadratic expression:
x^2 - 3x - 6x + 18 =0
x(x-3)-6(x-3) = 0
(x-3)(x-6) = 0
x - 3 = 0 and x - 6 = 0
x = 3 and 6
Hence the vertical asymptotes of the function are 3 and 6
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Will mark brainly :)
Which interval contains all the x-values where f(x)=log0.75x is positive?
x>0.75
0 1
0
Given the function f(x) = log 0.75x
The interval that contains all the x-values must be greater than 1.333
For the function to be positive, the expression 0.75x must be greater than and equal to 1 as shown:
0.75x ≥ 1Divide both sides by 0.75
0.75x/0.75 ≥ 1/0.75
x ≥ 1/0.75
x ≥ 1.333
Hence the interval that contains all the x-values must be greater than 1.333
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Match each verbal description with the algebraic expression it represents.
Answer:
Brainly.com
Question
Match each expression to the correct verbal description.
Answer · 12 votes
(7x)3+8 8 added to the cube of 7x(7x+8)3 The cube of the sum of 7x and 87(x+8)3 7 times the cube of the sum of x and 87x3+8 8 added to 7 and x cubed
Malin and Shawn begin with the same number, $t$. Malin subtracts $6$ from $t$ and then divides the result by $6$. Shawn adds $7$ to $t$ and then divides the result by $7$. If Malin's final answer is the same as Shawn's final answer, what was the number $t$
Answer:
t=84
Step-by-step explanation:
Malin's answer is $\frac{t-6}{6}$. Shawn's answer is $\frac{t+7}{7}$. We know these are equal, so we have the equation
$$\frac{t-6}{6} = \frac{t+7}{7}.$$
To eliminate denominators from the problem, we multiply both sides by $6\cdot 7$:
$$\frac{6\cdot 7\cdot (t-6)}{6} = \frac{6\cdot 7\cdot (t+7)}{7},$$
then simplify to get
$$7\cdot (t-6) = 6\cdot (t+7).$$
The parentheses are important here! For example, the parentheses on the left side of the equation tell us that it is $t-6$, not just $t$, which is multiplied by $7$.
Now we expand using the distributive property:
7t - 7\cdot 6 &= 6t + 6\cdot 7;\\
7t - 42 &= 6t + 42.
Adding $42$ to both sides gives
$$7t = 6t + 84,$$
then subtracting $6t$ from both sides gives $t=\boxed{84}$.
(We can check that starting from $t=84$, Malin and Shawn do indeed get the same final answer -- namely, $13$.)
please help and show work I'll mark you brainliest if I can
Answer: If your talking about the angle degree it is 45°
Step-by-step explanation:
Find the gradient of the line segment between the points (10,-4) and (6,-16).
Use the graph to describe what transformation has taken place. List your answer below.
Please help! I'll give brainliest.
Answer:
Reflection over y-axis (-x,y)
Step-by-step explanation:
Reflection over y-axis (-x,y)
A (-2 , 4) , A'( 2,4)
you can check the rest.
Evaluate P(3, 3)
A. 1
B. 9
C. 6
Answer:
6
Step-by-Step explanation:
P (n,k) where n=k is equal to n!
So, P (3,3) = 3! = 6
Generally, P (n,k) = n!/(n-k)!
A side length of a regular nonagon is an integer. The perimeter of the nonagon is 80
when rounded to the nearest ten. Determine the integer side length.
If the side length is n, then the perimeter is 9n. The closest multiple of 9 to 80 is 81, so n = 9.
Step-by-step explanation:
A nonagon is a shape with 9 sides. A regular shape means that all angles and sides of the shape is equal. That means let call the side of the nonagon, n. That means the perimeter which is 80, which means all side, n will add up.
[tex]n + n + n + n + n + n + n + n + n = 80[/tex]
or
[tex]9n = 80[/tex]
Solve for n
[tex]n = \frac{80}{9} [/tex]
This rounded would make our interger side, 9
At what point does the terminal side of the angle 7pi /4 in standard position intersect the unit circle
Answer: it’s A
Step-by-step explanation: I just did the quiz
simplify the expression.
Answer:
-6m^2 *n^2
Step-by-step explanation:
formula: (m^x)/(m^y)= m^(x-y)
apply formula for (4m^2)/(2m^-3)
=(4m^(2--3)/(2)
=4m^5/2
divide 4/2
=2m^5
next part 3n^5/(-mn)^3
3n^5/(-mn)^3
expand
=3n^5/ (-m^3*n^3)
=3n^(5-3)/ -m^3
=3n^2/ -m^3
both parts:
(2m^5* 3n^2)/ -m^3
= -(2m^5* 3n^2)/ m^3
= -(2m^(5-3)* 3n^2)/ 1
= -(2m^2* 3n^2)
= -(6m^2*n^2)
= -6m^2 *n^2
Complete all 4 problems
Answer:
7)-6a
8)7
9)x-1
10)8-k
Step-by-step explanation:
Here in every steps we took like terms to be added and finally there are no more like terms we cannot add nor subtract and we get answer
Answer:
7. -6a
8. 6x +5
9. x + 1
10. -k + 8
Step-by-step explanation:
7. A=1 1-7= -6 a - - 7a = -6a
8. 3x + 3x= 6x
6-1=5
6x+5
9. -8x + 9x = x
3-2 =1
x+1
10. 4+4 =8
k- 2k= -k
-k + 8
if a= { } b= {1,2} then n(a×b) is
Answer:
A={a,b,c}
B={1,2}
A×B={(a,1),(a,2),(b,1),(b,2),(c,1),(c,2)
Mir. White has a beach lot that is 60 feet wide.
What is the width of his lot in yards?
Answer:
20 Yards
Step-by-step explanation:
3 feet = 1 yard
60 / 3 = x yards
20 yards
Can someone help me with this one I would appreciate it very much!!
Answer:
12.5 pounds
Step-by-step explanation:
16 ounces = 1 pound
200 ounces = 1 × 200/16 = 12.5 pounds
Colby worked three more hours
on Tuesday than he did on Monday. On
Wednesday, he worked one hour more
than twice the number of hours that he
worked on Monday. If the total number
of hours is two more than five times the
number of hours worked on Monday,
how many hours did he work on
Mondav?
Alondra says that (12 + 31) × 5 is equivalent to 12 + 31 × 5 because of the associative property. Determine if Alondra is correct. Justify your answer.
Answer:
No
Step-by-step explanation:
(12 + 31) × 5 = 215
12 + 31 × 5 = 167
order of operations are the rules that state the sequence in which the multiple operations in an expression should be solved.
Order of Operations :
1. Parentheses
2. Exponents
3. Multiplication and Division
4. Addition and Subtraction
PLEASE HELP QUESTION IN PICTURE 15 POINTS
math question help plsss
Alisha has a five–year car loan of $15,000 with an interest rate of 6 percent. If the interest is compounded annually, how much will she pay in total for her car?
Answer:
$20,073.38
Step-by-step explanation: Step 1: Find the percentage. The formula for annual compound interest is A = P(1 + r)^t, where A = amount (total amount), P = principal (initial amount), r = rate (percentage), and t = time (in years). Our rate is 6%, which is 0.06 in decimal form. Add it to 1. 1 + 0.06 is 1.06.
Step 2: Raise 1.06 to the 5th power. Because we are finding the amount in 5 years, we do that step. 1.06^5 is 1.3382255776.
Step 3: Do not delete the decimal from the calculator. Multiply it by 15,000 to find the total amount. When you do, you get 20,073.383664 or 20,073.38 when rounded to the nearest hundredth.
Kinsey adds -1 7/8 and it's opposite
Answer:
0
Step-by-step explanation:
the opposite is 1 -7/8 when you add them together they cancel out to zero
When you multiply a number by 25, subtract the result from 2000, and divide everything by 5, you will get 150. What is the initial number?
Answer:
110
Step-by-step explanation:
150*5=750
750+2000=2750
2750/25=110
Answer:
The number is 110
Explanation:
To find the number you have to reverse everything so we will start by the number 150, it says that after dividing by 5 we get 150 so we will multiply 150 with 5 because the opposite of decision is multiplication the answer we get is 750. Then you go a step back again and it says to subtract 2000 and the opposite of subtraction is addition so we add 2000 to 750 and we get 2750. Now we go a step back again and it says to multiply by 25 and the opposite of multiplication is division so we will divide 2750 with 25 and we get 110
Step by step:
150×5= 750
=> 750+2000= 2750
2750÷25= 110
Determine whether the lines 3x+2y=6 and 4y=-6x-12 are parallel, intersect, or coincide
Answer:
parallel
Step-by-step explanation:
3x + 2y = 6 can be written as y = -3/2x +3
4y = -6x -12 can be written as y= -3/2x-3
same slope different y intercept so parallel
Hello can some one please help me
In order to make a specific shade of green paint, a painter mixes 1/2
of a gallon of blue paint with 4/5
of a gallon of yellow paint.
How many gallons of each color are needed to make 26 total gallons of this color?
10 gallons of blue paint was mixed with 16 gallons of yellow paint to make 26 total gallons.
Let x represent the total amount of paint.
(1/2)x + (4/5)x = 26
1.3x = 26
x = 20
Therefore:
Amount of blue paint = (1/2)x = (1/2)*20 = 10 gallons
Amount of yellow paint = (4/5)x = (4/5)*20 = 16 gallons
10 gallons of blue paint was mixed with 16 gallons of yellow paint to make 26 total gallons.
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how to find the intervals of increasing and decreasing
Answer:
Given a function f(x), for determining in what intervals the function is increasing (or decreasing) you can calculate its derivative f'(x) and put it greater than 0 (or smaller than 0). It will give you some intervals.
A photographer charges $12 for a set of 20 pictures. Each picture cost the same amount. At this rate, how many pictures cost $30?
Answer:
Step-by-step explanation:
20/12 = 1 2/3
30 ÷ 1 2/3
= $18
Select all equations that represent this question:
Priya is stacking building blocks to make a tower. She takes a break when the tower is 2 1/2 feet tall, which is 5/8 of the hight of the tower she wants ti build. How tall is the tower when finished?
Answer:
4 feet tall
Step-by-step explanation:
First find the unit rate of how close she is to being completed / the height of the tower
2.5/5 =.5
Next, multiply .5x8 = 4 feet fall when she is done