The distance from the tree house that the ball strike the ground is 10feet
Equation of a parabolaGiven the path of the ball expressed by the parabola equation:
y = -2x^2+14x +60
The point where the ball strikes the ground is the point where y = 0. Substitute into the equation to have:
-2x^2+14x +60 = 0
x^2 - 7x - 30 = 0
Factorize the result
x^2 - 10x + 3x - 30 = 0
x(x-10)+3(x-10) = 0
x - 10 =0
x = 10
Hence the distance from the tree house that the ball strike the ground is 10feet
Learn more on function here: https://brainly.com/question/25638609
Which statement correctly maps AB to A′B′
x,y)↦(x+7,y−8)(x,y)↦(x+7,y−8)
(x,y)↦(x+8,y−7)(x,y)↦(x+8,y−7)
(x,y)↦(x−8,y+7)(x,y)↦(x−8,y+7)
(x,y)↦(x−7,y+8)
Answer:x+8, y-7
Step-by-step explanation:
HELP PLEASE!!
Discuss the steps that you used
to create your tangent line.
What was the most important
step?
Give an example of tangents in
the real world that have not
been presented in this lesson.
Explain how you know the
tangent and the radius are
perpendicular.
Answer:
You need to have both the opposite and adjacent side of the right angled triangle. Tan = Opp/Adj
Step-by-step explanation:
Tangents are pretty much everywhere. A good example is maybe a slide at the playground. You’d need the tangent to figure out the angle of the slide and how it is.
The radius from the center of a circle to the point of tangency point shows that it would be perpendicular to the tangent line considering that anything with a radius is circular and the tangent line is… a line, making it impossible to be parallel.
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Step-by-step explanation:
y - x = 4x (vertically opposite angles)
y = 5x
4x+ y+x = 180
5x+5x = 180
x = 18
y = 90
show complete solution
Step-by-step explanation:
You can find the complete solution
You should use cross multiplication to solve
I hope it helped you
Porter drove due east 20 miles on Interstate 23, then due south 23 miles on Interstate 77. To the nearest hundredth of a mile, how far was he from his starting point?
A. 30.48 mi
B. 26 mi
C. 11.36 mi
D. 43 mi
Answer: D. 30.48 miles
Step-by-step explanation:
You basically use Pythagorean Theorem!
a2 + b2 = c2
Square root 20^2 +23^2
=√20^2 + 23^2
=20 x 2 + 23 x 2
= 929
And round it=
30.48 miles.
Use the proof above to answer the question: What reason can be used to prove that the triangles are congruent?
A. AAS B. ASA C. AAA D. SAS E. SSS
Answer:
E. SSS
Step-by-step explanation:
AB=BC (Given)
AD=CD (Midpoint)
BD=BD (common)
Therefore answer is : SSS
in 1961 yuri gagarin became the first man to orbit the sun he traveled for 108 minutes at an average speed of 235 miles per minute how many miles did he travel
Answer:
25,380 miles
Step-by-step explanation:
108 minutes × 235 = 25,380
De 17 estudiantes 4 hablan frances, si se seleccionan 3, ¿cuál es la probabilidad de que ninguna habla frances?
Esta es una cuestión de probabilidad condicional, y la resolución podría ser la siguiente:
Estudiantes seleccionados ÷ ninguno habla francés3 / (17 - 4) = 3/13¿Qué es la probabilidad condicional?Corresponde a un concepto matemático que involucra la probabilidad de que ocurran dos eventos, es decir, la probabilidad de que ocurra el evento A, sabiendo que el evento B ya ocurrió.
Por lo tanto, la probabilidad de que ningún estudiante hable francés es 3/13 o 23%.
Encuentre más información sobre la probabilidad condicional aquí:
https://brainly.com/question/18735028
During a sale at the electronics store, movies sold for $3 and CDs sold for $2.50. Isla spent $24 and bought a total of 9 movies and CDs. How many of each did she buy?
x^2+6x+8÷x^2-16 simplify
Answer:
The answer is in the file below, I wasn't able to make it in text form.
WILL GIVE BRAINLIEST
Find the exact value of the indicated trigonometric functions using the given information.
Given: tan a=2.4, and π/2Find the exact value of the indicated trigonometric functions using the given information.
Given: tan a=2.4, and π/2find sin a and cot a
Answer:
Viewed as a right angled triangle
tan
(
x
)
=
5
12
can be thought of as the ratio of opposite to adjacent sides in a triangle with sides
5
,
12
and
13
(where
13
is derived from the Pythagorean Theorem)
So
sin
(
x
)
=
5
13
and
cos
(
x
)
=
12
13
Step-by-step explanation:
How many TRIANGLES can be constructed with sides measuring 8 cm, 9 cm, and 11
cm ?
Answer:
1 -- Triangle
Step-by-step explanation:
Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Also remember to rate answers to help other students, While leaving thanks to answers that help you. Have a great day!
Solve for X
Pls give your working out as well x
[tex]3^{x-2} = \left(\dfrac 13 \right)^{\sqrt x}\\ \\\implies 3^{x -2} = \left(3^{-1} \right)^{\sqrt x} \\\\\implies 3^{x-2} = 3^{-\sqrt x}\\\\\implies x -2 = -\sqrt x\\\\\implies (x-2)^2 = \left(-\sqrt x \right)^2\\\\\implies x^2 -4x +4 = x\\\\\implies x^2 -5x +4 =0\\\\\implies x^2 -4x-x+4=0\\\\\implies x(x-4) -(x-4)=0\\\\\implies (x-1)(x-4)=0\\\\\implies x = 1~~~~~~;[x = 4 ~ \text{Does not satisfy the original equation}]\\\\\text{Hence, x =1 is the solution.}[/tex]
An automotive website would like to estimate the percentage of drivers who own their cars, rather than lease their cars. Which of these survey methods would not provide a convenience sample to estimate the percentage who own their cars?
a survey of adults at an auto parts store
a survey of all adults attending a car show
a survey of people in a car dealership
an online survey for sharing data about their cars
A survey of all adults attending a car show would not provide a convenience sample to estimate the percentage of drivers who own their cars, rather than lease their cars.
What is a survey?A survey is a research method used to gather information from a sample of individuals about their opinions, behaviors, experiences, or demographic characteristics.
This is because a car show attracts a diverse group of people, including car enthusiasts, potential car buyers, and families looking for entertainment.
Therefore, a survey of all adults attending a car show would provide a more representative sample of the population, compared to the other options listed, which are more likely to provide a convenience sample.
A survey of adults at an auto parts store, a survey of people in a car dealership, and an online survey for sharing data about their cars are more likely to provide a convenience sample because they are only capturing the opinions of people who happen to be present at a particular place or who choose to participate in an online survey.
To know more about the survey follow
https://brainly.com/question/18273502
#SPJ7
The mean of the values in a data set is c. If each of the values in the data set
a
were multiplied by 6, what would be the mean of the resulting data?
O A. 5c
O B. 6c
ос. 7с
D. C
Answer:
B 6c.
Step-by-step explanation:
The mean will be c multiplied by 6.
Drag each equation to its equivalent fact. DUE TODAY
Answer:
left left right
Step-by-step explanation:
rearange the formula as normal
So can someone explain how the heck does 4 x 4 x 4 = 64??
Cause I keep on getting 12 so like wth??
Answer:
it is more like, 4x4=16
16x4=64
Step-by-step explanation:
I know it can be confusing, but you will eventually get it :)
i think you were adding 4+4+4=12, but that is not what you are supposed to do here.
Hope i helped :)
GIVING BRAINLIEST!! need this rlly soon thank you so much!
Answer:
Large - PR - 15 and QR - 9 Missing degrees is P - 37
Small - Missing degree is 53
They are similar because they have the exca same degrees and if you divided by 3 on each side of the larger triangle you get the small triangle.
Step-by-step explanation:
Pythagorean theorem
+3=17
x
+
3
y
=
17
−+2=8
−
x
+
2
y
=
8
Step 1: Find the LCM to eliminate the x.
Step 2: Write the new equation.
Step 3: Divide to solve for y.
Answer:
1
Step-by-step explanation:
The expression below is a sum of cubes.
64x^3 + 125
A. True
B. False
Answer:
A True
Step-by-step explanation:
[tex]4^{3} x ^{3} + 5^{3} [/tex]
What is the median for the following set of data?
4, 4, 6, 10, 12, 13, 15, 16
a 12
b 10
c 11
d 16
Answer:
C
Step-by-step explanation:
The median is where we find the number that is in the middle of the data set. In this case, there cannot be a single number in the middle because the number of numbers in this data is even.
Knowing this, we need to add the two numbers that are in the middle (10 and 12). We add these two numbers and divide them by 2
[tex]\frac{10+12}{2} =\frac{22}{2} =11[/tex]
8. A megaphone is formed by taking a cone with radius of 18 centimeters and an edge length of 60 centimeters from tip to base
and cutting off the tip. The
cut is made 12 centimeters along the edge from the tip and is parallel to the base. The cut produces
a new radius of 4 centimeters. Round your answers to the nearest tenth.
Hint: A megaphone is hollow, so do not include the base.
a. What is the surface area of the whole cone?
b. What is the surface area of the tip that is removed?
카
cone
megaphone
whole cone
C.
What is the surface area of only the megaphone?
The Surface area of the whole cone is 4408.56 cm²
The Surface area of the tips that is removed is 376.8 cm²
The Surface area of the megaphone(hollow) is 2712.96 cm²
What is surface area?Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape.
Therefore,
Surface area of the whole cone = πr² + πrl
Therefore,
Surface area of the whole cone = πr(r + l)
where
r = radius = 18 cml = edge length = 60 cmSurface area of the whole cone = 3.14 × 18(18 + 60) = 4408.56 cm²
Surface area of the tips that is removed = 3.14 × 4 (18 + 12) = 376.8 cm²
Surface area of the megaphone(hollow) = πrl
Surface area of the megaphone(hollow) = 3.14 × 18 × (60 - 12) = 2712.96 cm²
learn more on surface area here: https://brainly.com/question/7410402
When rounded to the ten thousands place, which of the
numbers below round to 110,000? Select all that apply.
A) 113,450
B) 95,678
C) 104,298
D) 94,560
E) 106,789
Answer:
e
Step-by-step explanation:
Answer:
a, e
Step-by-step explanation:
a would round to 110,000 because 113,450 rounded to the ten thousand round down to 110,000
95,678 would round up to 100,000 not 110,000
104,298 would round down to 100,000 not 110,000
94,560 would round down to 90,000
106,789 would round up to 110,000 because 6 rounds up because 5 and up is rounded up
I need to know the answer now please and thank you
Which lines are the directrices of the ellipse?
x = −4.25 and x = 8.25
x = −3.25 and x = 9.25
y = −4.25 and y = 8.25
y = −3.25 and y = 9.25
The lines that are the directrices of the ellipse is B. x = −3.25 and x = 9.25.
How to calculate the ellipse?From the information given, the equation of parabola will be:
= (x - 3)²/5² + (y - 2)²/3² = 1
Hence, h = 3, k = 2, a = 5, b = 3
e = ✓1 - ✓3²/5²
E = 4/5 = 0.8
The directix will be:
x = 3 + 5/0.8
x = 9.25
x = 3 - 5/0.8
x = -3.25
Therefore, lines that are the directrices of the ellipse is x = −3.25 and x = 9.25.
Learn more about ellipse on:
https://brainly.com/question/16904744
A researcher collected the heights of male seniors at a high school. The data collected are normally distributed with a mean of 70.21 inches and a standard deviation of 1.35.
What is the z-score of a high school senior who is 68 inches tall?
Enter your answer rounded to the nearest hundredth, like this: 4.23
Three neighbors plan to complete fencing projects this spring. As shown in the diagrams below, Neighbor A plans to fence in his rectangular backyard with a 6-foot tall wooden privacy fence. Neighbor B plans to construct a circular chain link fence around his pool. And, Neighbor C is putting a vinyl fence around three side of his front yard. Note: Diagrams are not drawn to scale. Intended fences are marked with a dashed line.
Neighbor A:
Neighbor B:
Neighbor C:
Neighbor A can put up three 8 foot sections of wood fencing in two hours.
Neighbor B can put up 15 feet of chain link fencing each hour.
Neighbor C can put up 1 yard of vinyl fencing in half an hour.
Which neighbor's fencing project will take the least amount of time to complete?
Which neighbor's fencing project will take the most amount of time to complete?
Answer:
i think c
Step-by-step explanation:
Answer:
Neighbor C will take the least amount of time and Neighbor B will take the most amount of time. Let me know if i'm right!
Step-by-step explanation:
I hope this helps! Have a good weekend!! :)
In the graph the horizontal axis says “proportion of heads”. Write a more accurate label for these values in terms of babies and toy preference.
The more accurate label for the x-axis of the Histogram should be the proportion of babies who love toys.
What is the Chart Label of an Axis in Statistics?A chart label is a name given to the factors represented by the axis of a chart.
Typically, a chart has two axes. In some cases, three.
Regardless of the number of axes that a chart has, it is important to properly label them for purposes of comprehension and accurate representation of the data on them.
The referrenced chart is attached.
Learn more about Chart labels at:
https://brainly.com/question/5543915
Hi my name is Leah and I need help with my homework that's on Ken Academy I'm in the 5th grade and I need help with this screenshot Can anybody give me an answer? it's due today!
Which of the following values in the set below will make the equation 4x + 2 = 18 true?
{0, 1, 2, 3,4}
^^ those are the input numbers
Answer:
4
Step-by-step explanation:
subtract 2 on both sides you will get 4x=16 because 18-2=16 then divide both sides by 4 to get ×=4
4x+2=18
-2. -2
4×=16
4. 4
x=4
