Answer: s= -8
Step-by-step explanation:
The gradient of the ski slope can ge used as the slope (literally) of a line equation:
y = mx + b,
where m is the slope and b the y-intercept (the value of y when x = 0).
The first slope would be y = -(1/3)x + b.
The slope is (-1/3) since the ski run is headed downhill. The second ski slope is assumed to have the same gradient ("two parallel straight ski slopes").
y' = -(1/3)x' + b
We may assume that b is the same for both slopes - they start and end at the same point.
We can find b by using the given point (2,-3):
y' = -(1/3)x' + b
-3 = -(1/3)(2) + b
-3 = -(2/3) + b [Add -(2/3) to both sides: (-3 + 2/3 = -9/3 + 2/3 = -7/3]
-7/3 = b
b = -(7/3)
The second ski slope, y', thus has the equation
y' = (1/3)x' -(7/3)
We want the value of s in (s, -5).
y' = (1/3)x' -(7/3)
-5 = (1/3)s -(7/3)
(1/3)s = -5 +(7/3) [-15/3 + 7/3 = -8/3]
(1/3)s = -(8/3) [Multiply both dies by 3]
s = -(24/3)
s = -8
Conor earns $9 an hour for yard work. He raked leaves one afternoon and earned $29.25.
How much does Conor earn for each minute he does yard work?
Hint: There are 60 minutes in 1 hour.
29.25 divided by 9 is 3.25. You have to take the total amount of money he made $29.25 and divide it by the amount he gets every hour $9. So 29.25 divided by 9 is 3.25 or 3 hours and 15 minutes.
Answer:
15 cents a minute
Step-by-step explanation:
9 ÷ 60 = $0.15
Give coordinates for three possible pairs of points for the other two verticies...
Answer:
A) (-1,3) and (4,3)
B) (-1,-7) and (4,-7)
C) (1.5, .5) and (1.5, -4.5)
Step-by-step explanation:
For 1 and 2, because the y-values of the points are the same, the length of the square can be found by subtracting the x-coordinates.
4-(-1)=4+1=5
The length of the side of the square is 5.
1. For the first set of points, the square is above the two given points so just add 5 to the y-values
-2+5=3
This gives you the points:
(-1,3) and (4,3)
2. For the second set of points, the square is below the two given points so subtract 5 from the y-values.
-2-5=-7
This give you the points:
(-1,-7) and (4,-7)
3. The third answer is when the two given points are on opposite corners
of the square.
Here the diagonal is equal to 5 since they are on opposite corners of the square.
The diagonal of a square can be found with the pythagorean theorem
Since we have the diagonal we can find the side lengths we need.
[tex]2s^2=25[/tex]
s=[tex]\sqrt{\frac{25}{2} }[/tex]
s=3.5355
We want the new vertices to be in the middle of the other vertices x-coordinates
[tex]\frac{4-(-1)}{2} =\frac{5}{2} =2.5[/tex]
The new vertices will be 2.5 units away from the other vertices
-1+2.5=1.5
The new vertices will be at x=1.5
Now we need the pythagorean theorem again to find the y-values
[tex](2.5)^2+h^2=(3.5355)^2[/tex]
[tex]6.25+h^2=\frac{25}{2}[/tex]
[tex]h=\sqrt{\frac{25}{2} -6.25}[/tex]
h=2.5
The new vertices will be:
(1.5, -2+2.5)=(1., .5)
(1.5, -2-2.5)=(1.5, -4.5)
a break on the earth crust that is a result of movement or shaking refers to
Answer:
A fault
Step-by-step explanation:
A fault is a crack in the Earth's crust that allows chunks of the crust to move relative to one another along its length.
What is the Slope of the line containing the points (3,4) and (5,6)? Please help
Answer:
1
Step-by-step explanation:
Y2-Y1/X2-X1 would become 4-6/3-5 which would become-2/-2 and that equals 1 because its a whole number and when you divide or add two negative numbers, it becomes a positive
Solve for Z:
4 > 5Z + 34
help me so hard
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form:
Z < − 6
Interval Notation:
( − ∞ , − 6 )
Step-by-step explanation:
Answer:
z<-6
Step-by-step explanation:
4-5Z>34
-5z>34-4
-5z>30
z<-6
can somebody tell me if these answers are correct?
If represents the number of entry tickets sold and the hours of space rental, which inequality represents the constraints in the situation
2000000000017827272626728182
Answer:
no question or any number or question available
Find the coordinates of the point 1/3 of the way from A to B
PLEASE HELP WILL MARK BRAINLIEST
Answer:
A
Step-by-step explanation:
Expressing the identity in terms of a and b
(a + b)³ = a³ + b³ + 3ab(a + b)
Subtract 3ab(a + b) from both sides , then
a³ + b³ = (a + b)³ - 3ab(a + b) ← substitute given values
a³ + b³ = 12³ - 3(7)(12) = 1728 - 252 = 1476
Step-by-step explanation:
I hope you get it. you have to substitute and also find the value of a3 + b3
Graph the line with the equation y = 6/5x-2
Answer:
Step-by-step explanation:
The graph of equation is shown in figure.
What is Equation of line?
The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
The equation of line is,
⇒ y = 6/5x - 2
Now,
Since, The equation of line is,
⇒ y = 6/5x - 2
Clearly, The slope = 6/5
And, The y - intercept = - 2
Thus, The graph of equation is shown in figure.
Learn more about the equation of line visit:
https://brainly.com/question/18831322
#SPJ2
plz help will mark as brainliest
Step-by-step explanation:
18 cm is the correct answer
!!!!!!!!!!!!!!!!!!!!!!!!!!!!5
Find the inverse function in slope-intercept form (mx+b):
f(x) = -x - 5
Answer:
In order to find the inverse of a function, we flip it over the line y=x, or we switch the x and y values in the equation and solve it for y. So let's do the latter:
m(x) = 5x - 5
y = 5x - 5
x = 5y - 5
5y = x + 5
y = (x + 5)/5
Step-by-step explanation:
hope this is helpful
Answer: f ^−1(x)=x+5
Help given the graph of the function below what happens to f(x) when x is a small positive number?
Answer:
A
Step-by-step explanation:
Martin charges $10 for every 5 bags of leaves he rakes. Last weekend, he raked 28 bags of leaves. How much money did he earn?
Answer:
$48
Explanation:
24 Divided by 5 = 4.8 times 10 =48
Answer:
$56
Step-by-step explanation:
$10 divided 5＝$2
one bag $2
28bags＝$2 multiply 28＝$56
5/9 rounded to the nearest thousand
kate has $2.95 in quarters and nickels and the total number of ocins is 23 how many quarters and how many nickels does kat have
Answer: 9 quarters and 14 nickels
Step-by-step explanation:
9*25=225
14*5=70
225+70=295
The total number of nickels is 14 and the total number of quarters is 9 and this can be determined by forming the linear equation.
Given :
kate has $2.95 in quarters and nickels and the total number of coins is 23.
The following steps can be used in order to determine the total number of quarters and nickels Kat have:
Step 1 - Let the total number of quarters be 'x' and the total number of nickels be 'y'.
Step 2 - Remember one quarter is equal to $0.25 and one nickel is $0.05.
Step 3 - The total amount of money Kat has:
0.25x + 0.05y = 2.95 --- (1)
Step 4 - Total number of coins is given by:
x + y = 23
x = 23 - y --- (2)
Step 5 - Substitute the value of 'x' in equation (1).
0.25(23 - y) + 0.05y = 2.95
5.75 - 0.25y + 0.05y = 2.95
2.8 = 0.20y
y = 14
Step 6 - Now, substitute the value of 'y' in equation (2).
x = 23 - 14
x = 9
So, the total number of nickels is 14 and the total number of quarters is 9.
For more information, refer to the link given below:
https://brainly.com/question/11897796
Help I need a helping hand
A boat travels at a rate of 30 miles per hour for 3.5 hours. Let y be the distance, in miles, the boat travels for a given amount of time, x, in hours. This situation can be modeled by a linear function. What is the domain of the function?
Question 11 options:
0≤y≤30
0≤y≤3.5
0≤x≤3.5
0≤x≤30
Answer:
Step-by-step explanation:
Recall that distance = (rate)(time). Here the rate is 30 mph and the time 3.5 hr. The distance traveled is proportional to the time passing by. The graph of the distance function is a straight line with slope equal to the "rate" named above:
d(x) = (30 mph)x
Since x (elapsed time) can't be negative in this situation, we write the domain as 0 ≤ x ≤ 3.5 hr.
Given: AB is perpendicular to BD. Find m<1
See picture for full problem. Please and thank you!
Step-by-step explanation:
angle 5 = supplementary to 89 = 180-89 = 91°
the sum of all angles in a triangle is always 180°.
so,
angle 3 = 180 - 51 - 91 = 38°
angle 2 = complementary to 38 = 90-38 = 52°
therefore,
angle 1 = 180 - 38 - 52 = 90°
Is 1/3 greater than, less than, or equal to 1?
Answer:
1/3 is less than 1
Step-by-step explanation:
3/3=1
1/3<1
please help me with this. I will give brainliest to whoever gets the question right. attachment below.
Answer:
22100
Step-by-step explanation:
First you would add the truckloads of concrete for both playgrounds (3 5/8 + 3 5/8 + 1 9/10). Then you would divide that by 1/2. Finally multiply that number by 2000. (Pls mark me the brainliest)
Zach goes on holiday. The ratio of the costsflights: hotels = 3 : 8. The cost of the flightsis $861. Workout the total cost of flightsand hotels.
total cost of the hotels is 2,296
Answer:
hahshdbdndjksosondndndud
A watch company estimates that the profit (in peso)
for selling a particular model is given by
P(x)=4x^3-31x^3-10058x+158040 for 0 < x < 50
where x is the advertising expense (in tens of thousands of pesos).
What kind of polynomial is described by the equation?
A.quadratic
B.constant
C.cubic
D.quintic
I need an answer right now thank you.
The leading degree of the polynomial is 3. This shows that the polynomial described by the equation is a cubic polynomial
The standard form of a polynomial expression is written as:
[tex]a_nx^n+ a_{n-1}x^{n-1}+ a_{n-2}x^{n-2}+...[/tex]
A polynomial function has a leading degree that is greater than 2;
Given the polynomial function
[tex]P(x)=4x^3-31x^3-10058x+158040[/tex]
From the given polynomial, the leading degree of the polynomial is 3. This shows that the polynomial described by the equation is a cubic polynomial
Learn more here:https://brainly.com/question/19809286
Find the slope of the line that passes through each pair of points (8,2) (8, -1)
Answer:
Undefined
Step-by-step explanation:
Use the following formula to solve for slope:
[tex]\frac{y_2-y_1}{x_2-x_1} =m[/tex]
[tex]m=\frac{(-1)-2}{8-8}[/tex]
[tex]m=\frac{-3}{0}[/tex]
The equation is not a function and therefore the slope is undefined because there are multiple y values for a single x value.
I’ll give brainliest, thanks and 5 stars.
Answer:
First, you can break 6 into 3 * 2.
[tex]\frac{6^4*15^3}{3^3*2^4} =\frac{3^4*2^4*15^3}{3^3*2^4}[/tex]
Then, cancel out the common factor of [tex]3^3[/tex]:
[tex]\frac{3^4*2^4*15^3}{3^3*2^4} =\frac{3*2^4*15^3}{2^4}[/tex]
Next, cancel out the common factor of [tex]2^4[/tex].
[tex]\frac{3*2^4*15^3}{2^4} =3*15^3[/tex]
You can evaluate it as 10125 if you'd like.
Describe the steps you used to solve the equation and
find the amount of Carrie's allowance.
Linear
equation: 1/4 a + 1/3 a+ 8 = 22
Answer: 22
Step-by-step explanation: 1/4a + 1/3a + 8 = 22
Answer:
Sample Response: First, the like terms had to be combined using the lowest common denominator (LCD). Then the subtraction property of equality was used to isolate the variable term. Finally, both sides of the equation were multiplied by the reciprocal of the coefficient to solve for a.
Step-by-step explanation:
the total of this is 297197401415÷842035
Answer:
Approximately 352,951.36
Answer:
Step-by-step explanation:
= 297197401415+842035
= 297198243450
=297197401415/842035
=352951.363
The (least common multiple, greatest common factor) of 5 and 10 is 5.
Answer:
the Greatest common factor is 5
An arithmetic sequence is given below.
15, 19, 23 ,27 …
Write an explicit formula for the nth term an
Step-by-step explanation:
arithmetic sequence means every new term is the previous term plus a certain constant.
as we can see, this constant is +4 in our case.
15 + 4 = 19
19 + 4 = 23
23 + 4 = 27
...
so, we have
a1 = 15
a2 = a1 + 4 = 15 + 4 = 19
a3 = a2 + 4 = a1 + 4 + 4 = a1 + 2×4 = 15 + 8 = 23
...
an = an-1 + 4 = a1 + (n-1)×4 = 15 + (n-1)×4
7+(4x8)-9
i need help this is weird
Answer:
30
Step-by-step explanation:
7+(4*8)-9
Multiply first inside the parentheses
7+(32)-9
Then add and subtract from left to right
39 - 9
30
Answer:
If x is a variable then the answer is 4x⁸ - 2
If x is a multiplication representation then the answer is 30
Step-by-step explanation:
If x is a variable:
1) Eliminate redundant parentheses
[tex]7+(4x^{8} )-9\\7+4x^{8} -9[/tex]
2) Subtract the numbers
[tex]7+4x^{8} -9\\-2+4x^{8}[/tex]
3) Rearrange Terms
[tex]-2+4x^{8} \\4x^{8} -2[/tex]