-12u+168b is the answer
While painting the side of his house, Jason positioned his ladder so that the top was 16 feet
above the ground, while the bottom was 12 feet away from the base of the wall. To reach a
spot higher up on the house, Jason moved the ladder so that the top was 18 feet above the
ground. How much closer to the house is the bottom of the ladder now?
The bottom of the ladder is now 96 feet closer to the house compared to its initial position.
To solve this problem, we can use the concept of similar triangles. Let's denote the distance between the bottom of the ladder and the base of the wall as x (in feet). We are given the following information:
Initial ladder position:
Top of the ladder is 16 feet above the ground.
Bottom of the ladder is 12 feet away from the base of the wall.
New ladder position:
Top of the ladder is 18 feet above the ground.
Since the triangles formed by the ladder, the ground, and the wall are similar, we can set up a proportion to find the new distance between the bottom of the ladder and the base of the wall.
Using the initial position of the ladder:
(16 ft) / (x + 12 ft) = (18 ft) / (x)
Cross-multiplying:
16 ft * x = 18 ft * (x + 12 ft)
Expanding:
16x = 18x + 216 ft
Moving the terms involving x to one side:
16x - 18x = 216 ft
Simplifying:
-2x = 216 ft
Dividing by -2:
x = -108 ft
Since distance cannot be negative, we discard the negative solution. The distance between the bottom of the ladder and the base of the wall is 108 ft.
Now, to find how much closer to the house the bottom of the ladder is, we can subtract the initial distance (12 ft) from the new distance (108 ft):
108 ft - 12 ft = 96 ft
for such more question on triangles
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Which solution is correct? Be sure to check for extraneous solutions.
2/x / 1/4 = 1/x
a) x=2
b)no solution
c)x=-1
d)x=-4
The black graph is the graph of y=f(x). Choose the equation for the red graph
Answer:
a. y= f(x-1)
Step-by-step explanation:
___________
Find x.
[tex] \frac{x}{x + 7} = \frac{16}{22} [/tex]
The equals is for proportionate I couldn't find the symbol for it.
According to the property of proportions,
Product of means = Product of extremes
x and 22 are extremes. (x + 7) and 16 are means.So, simply we did cross multiplication.
Step-by-step explanation:
56/3 is the answer. Refer to the attachment for the solution. :)
!! Solve for the following equation step by step and justify your steps when using an exponential property.
(7^(x))^(4)=(7^(2)*7^(3))/(7^(3x))
Answer:
x = 5/7
Step-by-step explanation:
Here, we want to get the value of x
Firstly, according to indices;
(a^m)^n = a^(m * n) = a^mn
Also;
a^m * a*n = a^(m + n)
a^0 = 1 (any number raised to zero as its power is 1)
And lastly;
a^m divided by a^n = a^(m-n)
So using these we can have;
7^4x = 7^( 2 + 3)/7^3x
7^4x = 7^5/7^3x
7^4x = 7^(5-3x)
Since we have the same bases, we have to equate the powers
4x = 5-3x
4x + 3x = 5
7x = 5
x = 5/7
Trigonometry help please show work. Due soon please help
Answer:
Step-by-step explanation:
Point B has coordinates (3,1). the x-coordinate of point A is -1. The distance between point A and point B is 5 units. What are the possible coordinates of point A?
Answer:
-1.3+2 that is point A to find ir
how would i analyze this ???
Answer:
2018
Step-by-step explanation:
Solve for x
−4(2x+5)+5x−1= −48
Answer:
x=9
Step-by-step explanation:
−4(2x+5)+5x−1= −48
-8x-20+5x-1=-48
-3x-21=-48
-3x=-27
x=-27/-3
x=9
pls help me solve this question
Answer:
1 . x 3 + 3 x 2 y + 3 x y 2 + y 3
2. x 3 - 3 x 2 y + 3 x y 2 - y 3
3. a + b
4 . a - b
Step-by-step explanation:
Hope this answer helps you :)
Have a great day
Mark brainliest
what is the slope of the line that passes through the points (3,-20) and (5,8)?
Answer:
14
Step-by-step explanation:
The equation to find slope is [tex]\frac{y_{2} -y_{1}}{x_{2}-x_{1}}[/tex]. You plug in the values to get [tex]\frac{8-(-20)}{5-3}[/tex]. This simplifies to [tex]\frac{28}{2}[/tex], which is 14.
when the input to a function is -2,the output is 4.
Which statement about this function must be true?
A. an input of -2 has infinitely many possible outputs.
B. an input of -2 has exactly one possible output.
C. an output of 4 has infinitely many inputs.
D. an output of 4 has exactly one input.
Answer:
B)
Step-by-step explanation:
For which situation could flipping a coin be
used to generate a random sample?
A to predict if a machine will be
defective or not
B to predict student performance on an
exam
C to predict the number of peanuts in a
container
D to predict which of four players will
win a golf tournament
Which verbal expression best represents the algebraic expression 3n-4n ?
A
three less than four times a number
B
four less than three times a number
C
three times four subtracted from a number
D
four times the difference of a number and three
Answer:
B. four less than three times a number
two mechanics worked on a car. The first mechanic worked for 10 hours, and the second mechanic worked for 5 hours. Together they charged a total of $1600. what are the rate charged per hour by each mechanic. if the sum of the two rates are $215 per hour.
The rate charged per hour by the first mechanic = $105,
And the rate charged per hour by the second mechanic = $110.
Use the concept of ratio defined as:
A ratio indicates how many times one number contains another number. The ratio of two numbers is written as x: y, which is equivalent to x/y.
Where x and y are individual amounts of two quantities.
And, the Total quantity gives after combining as x + y.
Given that,
Two mechanics worked on a car.
The first mechanic worked for 10 hours.
The second mechanic worked for 5 hours.
Together, they charged a total of $1600.
The sum of the two rates charged per hour is $215.
Assume that,
The rate charged per hour by the first mechanic is = x dollars,
The rate charged per hour by the second mechanic is = y dollars.
The first mechanic worked for 10 hours,
The total amount earned by the first mechanic would be 10 times their hourly rate = 10x dollars.
Similarly,
The second mechanic worked for 5 hours,
The total amount earned by the second mechanic would be 5 times their hourly rate = 5y dollars.
Set up two equations based on the given information:
The first equation is the sum of the two rates, which is,
x + y = 215 ......(i)
The second equation is the total amount earned by both mechanics,
10x + 5y = 1600 .....(ii)
Use substitution to find the values of x and y:
From the first equation, we can express x in terms of y as,
x = 215 - y
Substitute this value of x into the second equation:
10(215 - y) + 5y = 1600
Expanding the equation, we get,
2150 - 10y + 5y = 1600
Combining like terms, we have:
-5y = 1600 - 2150
-5y = -550
Dividing both sides of the equation by -5, we get:
y = 110
Now that we have the value of y,
Substitute it back into the first equation to find x:
x + 110 = 215
Subtract 110 from both sides, and we get:
x = 105
Hence,
The rate charged per hour by the first mechanic is $105, & the rate charged per hour by the second mechanic is $110.
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help asap plzz!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
[tex]\huge{ \mathfrak{ \underline{ Answer} \: \: ✓ }}[/tex]
Figure - 1 :
The given triangles are similar, so their corresponding sides will be proportional.
Let the missing side be x
[tex] \dfrac{45}{3x + 9} = \dfrac{20}{16} [/tex][tex]3x + 9 = 45 \times \dfrac{16}{20} [/tex][tex]3x + 9 = 45 \times \dfrac{4}{5} [/tex][tex]3x + 9 = 9 \times 4[/tex][tex]3x = 36 - 9[/tex][tex]x = \dfrac{27}{3} [/tex][tex]x = 9 \: \: units[/tex]_____________________________
Figure - 2 :
The given figure is a Cylinder :
[tex] \large \boxed{ \mathrm{volume = \pi {r}^{2}h }}[/tex]
[tex] \dfrac{22}{7} \times 9 \times 9 \times 5[/tex][tex] \dfrac{8910}{7} [/tex][tex]1272.3 \: \: yd {}^{3} [/tex]_____________________________
[tex]\mathrm{☠ \: TeeNForeveR \: ☠}[/tex]
Multiply the binomials (5x-2)(x+3)
Answer:
5x² + 13x - 6
Step-by-step explanation:
F - First ( multiply the first terms from each bracket )
I - Inner ( multiple the last term of the first bracket and the first term of the second bracket )
O - Outter ( multiply the outer terms i.e the first term of the first bracket with the last term of the 2nd bracket )
L - Last ( multiply the last terms of the brackets i.e the last term in the second bracket and the last term in the second bracket )
dont forget to take sign convention into consideration .
A runner runs a distance of 640 metres in a time of 80 seconds.
What is his average speed?
Answer:
8 meters per second
Step-by-step explanation:
We can divide meters by seconds to get his average speed in meters per second. -- 640 m / 80s = 8 m/sec (meters per second). We can also figure out his average speed in minutes by multiplying 8 by 60 (because there are 60 seconds in a minute), 8 * 60 = 480 m/min (meters per minute).
Answer:
8m/s
Step-by-step explanation:
Speed is equal the distance upon time.
640/80
so speed is equal to 8m/s
Use the figure and follow the directions below
Answer:
The answer is B
Step-by-step explanation:
Please help me with either one, (all both) I’ve been struggling with this
Answer:
x = 12, x = 7
Step-by-step explanation:
The 2 legs of the triangle are congruent, both 2x + 7, then
2x + 7 + 2x + 7 + x + 11 = 85 ← equation for perimeter
5x + 25 = 85 ( subtract 25 from both sides )
5x = 60 ( divide both sides by 5 )
x = 12
-----------------------------------------------------------
Opposite sides are congruent, then
2(2x) + 2(5x + 3) = 104 ← distribute and simplify both sides
4x + 10x + 6 = 104
14x + 6 = 104 ( subtract 6 from both sides )
14x = 98 ( divide both sides by 14 )
x = 7
Answer:
x=12 x=7 yup thank me later
Given the function defined in the table below, find the average rate of change, in simplest form, of the function over the interval
4
≤
x
≤
7
4≤x≤7.
Please help, thank you!
Answer:
D
Step-by-step explanation:
The very first thing you have to realize is that the temperature goes further down the minus scale which means that only A and D can be correct. That's because time in this question is positive.
So if you just try the first value (x = 3), you will get
-3/2 * 3 = -9/2 which would mean that you would add -4 1/2 onto - 10 which is much larger than - 10
A: is not the answer.
-2/3 * 3 - 10 = -6/3 - 10 = -2 - 10 = - 12
That is the answer you should get. The answer is D.
What is the equation of the line that passes through the points (4,-1 ) and (-7,4 )?
Answer:
[tex] \large{ \tt{❃ \: STEP- BY - STEP \: EXPLANATION}} : [/tex]
Let the equation of line passes through the points A ( 4 , - 1 ) and B ( - 7 , 4 ) . Let A ( 4 , -1 ) be ( x₁ , y₁ ) & B ( - 7 , 4 ) be ( x₂ , y₂ )[tex] \large{ \tt{❁ \: LET'S \: START}} : [/tex]
Using two - point form of the equation of straight line , we have :[tex] \boxed{ \large{ \bf{❀ \: y -y _{1} = \frac{y_{2} - y_{1} }{x_{2} - x_{1}} (x - x_{1)}}}}[/tex]
- Plug the values :
[tex] \large{ \bf{⇢ \: y - ( - 1) = \frac{4 - ( - 1)}{ - 7 - 4}(x - 4) }}[/tex]
[tex] \large{ \bf{⇢y + 1 = \frac{4 + 1}{ - 11} (x - 4)}}[/tex]
[tex] \large{ \bf{⇢ \: y + 1 = - \frac{5}{11} (x - 4)}}[/tex]
[tex] \large{ \bf{⇢y + 1 = - \frac{5}{11}x + \frac{20}{11} }}[/tex]
[tex] \large{ \bf{⇢y + 1 = \frac{ - 5x + 20}{11} }}[/tex]
[tex] \large{ \bf{⇢11(y + 1) = - 5x + 20}}[/tex]
[tex] \large{ \bf{⇢11y + 11 = - 5x + 20}}[/tex]
[tex] \large{ \bf{⇢5x + 11y + 11 - 20 = 0}}[/tex]
[tex] ⇢ \boxed{\large{ \bold{\bf{5x + 11y - 9 = 0}}}}[/tex]
♕ Hence , 5x + 11y - 9 = 0 is the required equation of the line.✺ The two most important days in your life are the day you are born and the day you find out why ! ♪
♡ Hope I helped! ツ
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A manager at a shipping company will purchase boxes in the shape of right rectangular prisms. He wants the volume of each box to be exactly 98 cubic feet. Which figure shows a box with the dimensions, in feet (ft), that the manager will purchase?
You have 4 options... which one do you think is correct
winner gets brainlest!! along with 50 points
Answer:
the first one
Step-by-step explanation:
To find the answer we want to find the volume of each rectangular prism
Which ever prism has an exact volume of 98 is the correct answer
( note that volume of a rectangular prism = length times width times height )
For the first answer choice
4 * 3.5 * 7 = 98
We get an outcome of 98, which means that the first one could possibly be the correct answer however lets find the volume of the rest of the prisms just to be safe.
For the second one
6.25 * 7 * 2 = 87.5
87.5 ≠ 98 therefore the second choice is not correct
For the third one
3 * 6.5 * 5 = 97.5
97.5 ≠ 98 therefore the third choice is not correct
For the fourth one
7.5 * 1 * 14 = 105
105 ≠ 98 therefore the fourth choice is not correct
So we can conclude that the first answer choice is correct
F=110+0.12dF=110+0.12dF, equals, 110, plus, 0, point, 12, d What is the increase in price for every 100100100 meters climbed? \$
Answer:
$12
Step-by-step explanation:
At Simba Travel Agency, the price of a climbing trip to Mount Kilimanjaro includes an initial fee plus a constant fee per meter. F(d), models the fee (in dollars) for climbing d meters. F(d)=110+0.12d, What is the increase in price for every 100 meters climbed?
Given:
F(d) = 110 + 0.12d
Where,
F(d) = the fee (in dollars)
d = number of meters climbed
What is the increase in price for every 100 meters climbed?
F(d) = 110 + 0.12d
$110 is the fixed fee
0.12 is the increase in price per meter.
Increase in price per 100 meters climbed = 0.12d
= 0.12 × 100
= 12
Increase in price per 100 meters climbed = $12
You have an assignment due in 2 hours, 30 minutes (150 minutes total). The assignment has 25 problems for you to complete. If you have not started yet and spend the same amount of time on each problem, how much time can you spend on each problem and complete all 25 problems in time?
Create and solve a linear inequality to determine how much time you can spend on each problem.
What does your solution from part (a) represent/mean?
PLEASE HELP !!!!!!!!!!!!!!!!!!!
Answer:
[tex]t \le 6[/tex] min
Step-by-step explanation:
The time to do 25 problems should take less than (or equal to) the 150 minutes available.
[tex]25t \le 150\\t \le 6[/tex]
please help me i suck at this
Answer:
x = 10
Step-by-step explanation:
We know that in a parallelogram base angles are supplementary angle (add up to 180°)
Given that;
∠U = 9x + 15
∠V = 6x + 15
we can say that:
∠U + ∠V = 180°
(9x + 15) + (6x + 15) = 180
Combining like terms we get;
15x + 30 = 180°
15x = 180 - 30
15x = 150
x = 150/15
x = 10
Hope this helps!
PLEASE HELP ME ILL MAKE BRAINLIEST HURRY
The table below shows a proportional relationship between the cost of movie tickets and number of tickets purchased.
What is the constant of proportionality?
A
5.5
B
9.5
C
8.5
D
17
Answer:
D.17
Step-by-step explanation:
One number is six less than a second number. Twice the first is 4 more than times 6 the second. Find the numbers.
Answer:
[tex]\text{First number: }-10, \\\text{Second number: }-4[/tex]
Step-by-step explanation:
We can write the following system of equations:
Let the first number be [tex]f[/tex] and the second number be [tex]s[/tex]:
[tex]\begin{cases}f+6=s, \\2f-4=6s\end{cases}[/tex]
Solving, we get:
[tex]\int\limits^a_b {x} \, dx \begin{cases}f+6=s, \\2f-4=6s\end{cases},\\2f-4=6(f+6),\\2f-4=6f+36,\\-40=4f,\\f=\boxed{-10}[/tex]
Solving for [tex]s[/tex]:
[tex]f+6=s,\\-10+6=s,\\s=\boxed{-4}[/tex]
5. Cost to store: $65
Markup: ?
Selling price: $91
Answer:
40 %
Step-by-step explanation:
the difference between cost and selling price:
91 - 65 = 26
Find the percentage:
26/65 = 0.4 --> 40%
Markup = 40%
Hope this answer helps you :)
Have a great day
Mark brainliest