Answer: (3 , 7)
Step-by-step explanation: When rotating a point 180 degrees counterclockwise about the origin our point A(x,y) becomes A'(-x,-y). So all we do is make both x and y negative. Since x and y are already negative, they become positive due to the double negative rule.
PLEASE HELP QUESTION IN PICTURE 15 POINTS
if f(x)=4(3x-5), find f^-1(x)
Answer:
f^-1(x) = (x+20) / 12
Step-by-step explanation:
f(x) = 4(3x-5)
Let y be the image of f.
y = 4(3x-5)
y = 12x-20
y+20 = 12x
x = (y+20) / 12
f^-1(y) = (y+20) / 12, so
f^-1(x) = (x+20) / 12
Urgent!
18. A tennis ball is launched straight upward with an initial velocity of 24.5 m/s from the edge of a cliff that is 117.6 meters above the ground. Which quadratic equation could be used to correctly determine when the ball will hit the ground:
4.9t2 + 24.5t + 117.6 = 0
-4.9t2 - 24.5t + 117.6 = 0
-4.9t2 + 24.5t - 117.6 = 0
4.9t2 + 24.5t - 117.6 = 0
-4.9t2 + 24.5t + 117.6 = 0
19. Solve the equation you chose in question 18 to determine when the ball will hit the ground. (HINT: If you don't get one of the answers listed for this question, then maybe you chose the wrong equation in #18. Use this opportunity to double check your work!)
t = 8 seconds
t = 4 seconds
t = 3 seconds
t = -3 seconds
The ball will never reach the ground.
20. Using the same equation, determine when the ball is at a height of 49 meters.
Step-by-step explanation:
18.
the last one.
-4.9t² + 24.5t + 117.6 = 0
the ball starts at 117.6 meters height. then, during the first seconds the thrust upwards is adding height, until finally, with more and more seconds passing, gravity will win with a vengeance and pulls the ball down faster and faster than any other force in any other direction.
19.
the general solution for a quadratic equation
y = ax² + bx + c
is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
x = t
a = -4.9
b = 24.5
c = 117.6
t = (-24.5 ± sqrt(600.25 - -4×4.9×117.6))/-9.8 =
= (-24.5 ± sqrt(600.25 + 2304.96))/-9.8 =
= (-24.5 ± sqrt(2905.21))/-9.8 = (-24.5 ± 53.9)/-9.8
t1 = (-24.5 + 53.9)/-9.8 = -3
t2 = (-24.5 - 53.9)/-9.8 = 8
a negative time does not make any sense, so the real solution is : the ball reached the ground after 8 seconds.
20.
now the equation is
-4.9t² + 24.5t + 117.6 = 49
but this is quickly transformed again into a "= 0" equation :
-4.9t² + 24.5t + 68.6 = 0
t = (-24.5 ± sqrt(600.25 - -4×4.9×68.6))/-9.8 =
= (-24.5 ± sqrt(600.25 + 1344.56))/-9.8 =
= (-24.5 ± sqrt(1944.81))/-9.8 = (-24.5 ± 44.1)/-9.8
t1 = (-24.5 + 44.1)/-9.8 = -2
t2 = (-24.5 - 44.1)/-9.8 = 7
again, negative time does not make sense.
the ball will be at 49 m height after 7 seconds.
Could someone help. Please show work
Answer:
x=-2 and y=5
x=-1 and y=4
Step-by-step explanation:
hope tha work
there were 8000 people at a festival. people bought their tickets online, by phone, or in person.based on a random sample of people at the festival, 60% bought their tickets online, 15% bought their tickets by phone, and the rest bought their tickets in person
Answer:
People who bought tickets = 100%
= 8000
People who bought their tickets in person = (100%-60%-15%) × 8000
= 2000
The number of tickets sold online is 4800, by phone is 1200, and in person is 2000.
What is the percentage?The Percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that there were 8000 people at the festival. people bought their tickets online, by phone, or in person. based on a random sample of people at the festival, 60% bought their tickets online, and 15% bought their tickets by phone.
The number of the tickets will be calculated as below:-
Total tickets = 8000
Online tickets = 60% of 8000 = 8000 x 0.6 = 4800
By phone = 15% of 8000 = 8000 x 0.15 = 1200
In-person = 25% x 8000 = 0.25 x 89000 = 2000
Therefore, the number of tickets sold online is 4800, by phone is 1200, and in person is 2000.
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The opposite of −358 is on the
(same or opposite)
side of zero on a number line as −358. The opposite of 429is on the
(same or opposite)
side of zero on a number line as 429.
Answer:
A: Opposite
B: Same
Step-by-step explanation:
I'm not really sure, please tell me if I'm incorrect
Find the slope of the line whose equation is 2x + y = 5.
Answer:
Slope is -2x
Step-by-step explanation:
2x + y =5
2x-2x +y= 5 -2x
y= 5 -2x
so y= -2x+5
and the slope is -2x so the answer is -2x
Find the value of x.
6x+3(-3x+4)=13
Answer
Well I’d distribute first
So if simplified you’d get
6x-9x+12=13
-3x+12=13
-3x=1
x= 1/-3
X is - 1/3
A car travels 182 kilometers in 4 hours with the constant speed. how much time will it take traveling 42 kilometers
Answer:
55.38 min
Step-by-step explanation:
A car travels,
182 km ⇒ 4 hours
And we have to find the time that it takes to travel 42 km .
Lets make a equation.
Let the unknown time be x
182 km ⇒ 4 hours
42 km ⇒ x
To make easy let's km in to meters and hours in to minutes
182000 m ⇒ 240 min
42000m ⇒ x
Now use cross multiplication.
[tex]182000x=240*42000\\[/tex]
[tex]182000x=10080000[/tex]
[tex]\frac{182000x}{182000} =\frac{1008000}{182000}[/tex]
[tex]x =55.38min[/tex]
Hope this helps you.
Let me know if you have any other questions :-)
Suppose that n is a positive number and Log10 n = q. Which expression always equals the value of Log10 n^2?
2q
Answer:
solution given:
[tex]log_{10} n=q[/tex]
now
[tex] Log_{10 }n^2=?[/tex]
by using property of logarithms
[tex]log_{a} n^p=p log_{a}n [/tex]
now
[tex] Log_{10 }n^2=2 Log_{10 }n[/tex]
=2q
since [tex]log_{10} n=q[/tex]
Step-by-step explanation:
What is 12xq+35x14/455
x=multiply
+= addition
/= divide
Answer:
ı wanna learn abot it
Step-by-step explanation:
ı think u should make -b/2a and b^2-4ac
How many planes appear in the figure?
Answer:
5
Step-by-step explanation:
Shane is following an English recipe for scones. The recipe calls for 1.2 kilograms of flour. How many pounds of flour, to the nearest tenth of a pound, does he need?
Answer:
Bilemedim fotoğrafını çeksen daha iyi olur kankacim çok güzel birisin
There are 2.6 pounds of flour.
What is Measurement unit?
A measurement unit is a standard quality used to express a physical quantity. Also it refers to the comparison between the unknown quantity with the known quantity.
Given that;
The recipe calls for 1.2 kilograms of flour.
Now,
Since, The recipe calls for 1.2 kilograms of flour.
We know that;
⇒ 1 kg = 2.2 pounds
So, 1.2 kg = 1.2 × 2.2 pounds
= 2.6 pounds
Thus, There are 2.6 pounds of flour.
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help me with this pls
Answer:
Johnathan started out with 17 videogames
25-8=17
3. Mama has her opinions about things concerning Walter. Determine which statements are TRUE/FALSE about what Mama thinks.
Answer:
False
Step-by-step explanation:
Hope this helped
Solve. \sqrt{8x} -8-8=4
Answer:
x=50
Step-by-step explanation:
Let's solve your equation step-by-step.
√8x - 8 - 8 = 4
√8x - 16 = 4
Step 1: Add 16 to both sides.
√8x - 16 + 16 = 4 + 16
√8x = 20
Step 2: Solve Square Root.
√8x = 20
8x = 20^2 ( Square both sides )
8x = 400
8x/8 = 400/8 (Divide both sides by 8)
x = 50
HOPES THIS HELP :)
This is a 45-45-90 triangle.
What is the measure of x?
Х
14
Х
x = [?]V
Answer:
x = 14[tex]\sqrt{2}[/tex]
Step-by-step explanation:
Since the triangle is 45- 45- 90 then it is isosceles with the 2 legs being congruent, both 14
Using Pythagoras' identity in the right triangle
x² = 14² + 14² = 196 + 196 = 392 ( take square root of both sides )
x = [tex]\sqrt{392}[/tex] = [tex]\sqrt{196(2)}[/tex] = [tex]\sqrt{196}[/tex] × [tex]\sqrt{2}[/tex] = 14[tex]\sqrt{2}[/tex]
Answer please................................
Answer:
1 and 4
Step-by-step explanation:
find the measure of angle A
Answer:
60° is your answerStep-by-step explanation:
the sum of the interior angles of a triangle is 180°
180 - 70 = 110
110 = 12x + 2 + 15x
108 = 27x
108 : 27 = 4°
4 * 15 = 60° is your answer
check
15 * 4 + 12 * 4 + 2 + 70 = 180
60 + 48 + 72 = 180
the answer is good
y varies directly as x . when x=3 , then y=12 . find y when x=20.
Answer:
Congress. would equal 80 due to x being worth 1/4 of y's total.
Plz help with this question
Answer:
a) 72cm²
b) 9 cm²
c) 9 cm²
d) 54 cm²
Step-by-step explanation:
a) The area A of a rectangle is given by the formula, A=lw
12 * 6 = 72cm²
b) To calculate the area of a triangle, multiply the height by the width (this is also known as the 'base') then divide by 2.
(6 * 3) : 2 = 9 cm²
c) To calculate the area of a triangle, multiply the height by the width (this is also known as the 'base') then divide by 2.
(6 * 3) : 2 = 9 cm²
d) To find the area of the parallelogram, multiply the base of the perpendicular by its height.
(12 - 3) * 6 = 54 cm²
Given: AB IS CONGRUENT TO CD
PROVE: CD CONGRUENT TO AB
Answer:
Because of the definition of congruent
Step-by-step explanation:
This problem may sound tricky, but it's not actually that hard. We now congruent means two things are the same, so for this problem, think of it as an equal sign. (Congruent doesn't mean equal, as an equal sign denotes the relationship that two things are the same if we know the concrete value of it.) So if AB=CD, CD=AB as you can swap two sides of an equation around and get the same answer. It's like saying 2=x ∴ x=2 (The dots mean therefore in math.)
Please consider a brainliest! Thank you!
how to solve improper fractions to mixed numbers with example?
Answer: If it was the other way around I would have helped you
Step-by-step explanation:
e.g.
If a dozen exercise books cost $144, what will 14 of the same books cost? *
Answer:
$168
Step-by-step explanation:
1 dozen = 12
proportions
12 books ⇔ $144
14 books ⇔ $B
B = 144*14/12
B = $168
Which graph represents the solution set of the system of inequalities?
{y<2x+2x+y≥−3
Answer: the first graph (A)
Step-by-step explanation: are you actually low IQ or intellect this is the most easiest question I have ever seen I just finished this topic in my honor math class like last month in a week. BTW I am in the 9th grade
Now I got to tutor you so here you can use the process of elimination which you can see that < without the line below it means that the line is dotted and is the only one with a y-intercept of +2 is A and D are the only ligament answer now you dumc as i can't curse due to that i will get reported, so anyways go up 2 and go 1 to the right because it is 2x which is 2/1x rise/run and it is positive which means D is wrong because it has a negative slope which the only answer for this is A now get your (can't say) together and study.
The total bill was 56.25. how much would the bill be if 7 % tax was added
what is the scale factor of 3x + 2, 3y -1?
(will give brainliest)
21 Line is mapped onto line m by a dilation centered at the origin with a scale factor of 2. The equation of line is 3x − y = 4. Determine and state an.
The scatter plot shows the number of minutes since several celebrities have posted a photo compared to the number of likes the photo has received. If a celebrity posted a photo 6.5 minutes ago, which is the best prediction of the number of likes it has received?
Answer:
is there a photo of a scatter plot?
Step-by-step explanation:
7. One serving of Ms. Scott's tomato soup is 0.75 cup. How many servings are in the 72-cup pot? 104.2. servings 10.42 servings 96 servings O 9.6 servings
Answer:
96 Servings
Step-by-step explanation:
Divide the total 72 cups by the serving, 0.75 cup, which equals 96 servings
Answer:
96 servings
Step-by-step explanation:
Divide the total amount, 72 cups, by each serving, .75 cups, to get the amount of servings, 96.
[tex]\frac{72}{0.75} = 96[/tex]
what inequality does the number line graph represent
Answer: what number line
Step-by-step explanation: