Answers
find the location of the points, multiply the y by 1/3
draw the new triangle using the new points you calculated.
Related Questions
What are the x-intercepts of the graph of the function f(x) = x2 + 5x − 36?
Answers
Answer:
x intercepts are (4,0) and (-9,0)
Step-by-step explanation:
The given function graphed f(x) = x² + 5x -36 and we have to find the x-intercepts.
Since x intercepts means points on x-axis which will have y-coordinates as zero.
so f(x) = x² + 5x - 36 = 0
x² + 9x - 4x - 36 = 0
x(x+9) - 4(x-9) = 0
(x-4)=0 ⇒ x = 4
or ( x+9) = 0 ⇒ x = (-9)
Therefore, x intercepts are (4,0) and (-9,0)
Considering the definition of function quadratic and roots, the roots or x-intercepts of the graph of the function f(x) = x² + 5x − 36 are 4 and -9.
Function quadraticThe function f(x) = ax² + bx + c
with a, b, c real numbers and a ≠ 0, is a function quadratic expressed in its polynomial form (It is so called because the function is expressed by a polynomial).
Definition of rootsThe roots are those values of x for which the expression is 0, so it graphically cuts the x-axis.
This can be solved by:
[tex]x1, x2=\frac{-b+-\sqrt{b^{2} -4ac} }{2a}[/tex]
x-intercepts of f(x) = x² + 5x − 36In this case you know that a=1, b= 5 and c= -36. So the roots can be determined as:
[tex]x1=\frac{-5+\sqrt{5^{2} -4x1x(-36)} }{2x1}[/tex]
[tex]x1=\frac{-5+\sqrt{25 +144} }{2}[/tex]
[tex]x1=\frac{-5+\sqrt{169} }{2}[/tex]
[tex]x1=\frac{-5+13}{2}[/tex]
[tex]x1=\frac{8}{2}[/tex]
x1= 4
and
[tex]x2=\frac{-5-\sqrt{5^{2} -4x1x(-36)} }{2x1}[/tex]
[tex]x2=\frac{-5-\sqrt{25 +144} }{2}[/tex]
[tex]x2=\frac{-5-\sqrt{169} }{2}[/tex]
[tex]x2=\frac{-5-13 }{2}[/tex]
[tex]x2=\frac{-18 }{2}[/tex]
x2= -9
Finally, the roots or x-intercepts of the graph of the function f(x) = x² + 5x − 36 are 4 and -9.
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during a baseball game, a player's ball hit into the outfield is modeled by the equation h=-16t^2 + 65t. A bird flying across the field follows the path modeled by the equation h=8t+20. let t be the time since the ball is hit and h be the height. what do the intersection points of the equations represent?
Answers
8t+20=-16t^2+65t
16t^2-57t+20=0, using the quadratic equation for expediency:
t=(57±√4529)/32 and since we know t>0
t≈3.88 seconds (at a approximate height of 51 feet)
Answer:
Intersection points are
(0.39,0) and (3.16,0)
Step-by-step explanation:
The equation of the outfield is [tex]h=-16t^2 + 65t[/tex]
The path equation is [tex]h=8t+20[/tex]
To find intersection of two equations , we make them equal and solve for t
[tex]-16t^2+65t= 8t+20[/tex]
Subtract 8t from both sides
[tex]-16t^2+57t=20[/tex]
Subtract 20 on both sides
[tex]-16t^2+57t-20=0[/tex]
Divide whole equation by -1
[tex]16t^2-57t+20=0[/tex]
Apply quadratic formula to solve for t
[tex]t=\frac{-b+-\sqrt{b^2-4ac}}{2a}[/tex]
a= 16, b=-57 and c=20
[tex]t=\frac{57+-\sqrt{(-57)^2-4(16)(20)}}{2(16)}[/tex]
[tex]t=\frac{57+-\sqrt{1969}}{32}[/tex]
[tex]t=\frac{57+\sqrt{1969}}{32}=3.16[/tex]
[tex]t=\frac{57-\sqrt{1969}}{32}=0.39[/tex]
The hypotenuse of a right triangle is 37 mm. One leg of the right triangle is 12 mm. What is the length of the other leg?
Answers
[tex]a^2+b^2=c^2[/tex]
[tex]12^2+b^2=37^2[/tex]
[tex]144+b^2=1369[/tex]
[tex]b^2=1225[/tex]
[tex] \sqrt{b^2} = \sqrt{1225} [/tex]
[tex]b=35[/tex]
Your answer is 35mm.
Answer:
35 they are right
Step-by-step explanation:
How to round 4.253 to the nearest hundredths
Answers
Answer: 4.25
Hope this helps :)
Please give brainliest
Bryce collected data about the amount of time each student in history class spends studying. if the range is 1, what does this reveal about the data?
Answers
The ratio between the number of children (c) on a field trip and number of teachers (t) on the trips is (14)/(3). There are 70 children on the field trip. How many teachers are on the grip?
Answers
5*3=15
15 teachers
3(n+11)-5n=-2(n-12)+9
Answers
3(n + 11) + -5n = -2(n + -12) + 9
Reorder the terms:
3(11 + n) + -5n = -2(n + -12) + 9
(11 * 3 + n * 3) + -5n = -2(n + -12) + 9
(33 + 3n) + -5n = -2(n + -12) + 9
Combine like terms: 3n + -5n = -2n
33 + -2n = -2(n + -12) + 9
Reorder the terms:
33 + -2n = -2(-12 + n) + 9
33 + -2n = (-12 * -2 + n * -2) + 9
33 + -2n = (24 + -2n) + 9
Reorder the terms:
33 + -2n = 24 + 9 + -2n
Combine like terms: 24 + 9 = 33
33 + -2n = 33 + -2n
Add '-33' to each side of the equation.
33 + -33 + -2n = 33 + -33 + -2nCombine like terms: 33 + -33 = 0
0 + -2n = 33 + -33 + -2n
-2n = 33 + -33 + -2n
Combine like terms: 33 + -33 = 0
-2n = 0 + -2n
-2n = -2n
Add '2n' to each side of the equation.
-2n + 2n = -2n + 2n
Combine like terms: -2n + 2n = 0
0 = -2n + 2n
Combine like terms: -2n + 2n = 0
0 = 0
Solving
0 = 0
Couldn't find a variable to solve for.
This equation is an identity, all real numbers are solutions.
The given equation simplifies to -2n + 33 = -2n + 33, where both sides are equal, hence 'n' can be any real number. Thus the equation has infinitely many solutions.
Explanation:This question pertains to solving a linear equation. The given equation is 3(n+11)-5n=-2(n-12)+9.
Let's solve this step by step:
First distribute 3 and -2 in the brackets (Order of Operations - BIDMAS/BODMAS). This will result in: 3n+33-5n = -2n + 24 + 9.Combine like terms on both sides of the equation to obtain: -2n + 33 = -2n + 33.Lastly you can see that both sides of the equation are equal, this means that n can be any real number.This indicates that we have infinitely many solutions because any value of 'n' satisfies this equation.
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what is the slope of (4,3.5),(-4,3.5)
Answers
** if ur x values would have been the same, instead of ur y values, then u would have had a vertical line with an undefined slope.
answer both questions for brain
Answers
SA of a cylinder = (2 * π * r²) + (2 * π * r * h)
SA = (2 * π * 5²) + (2 * π * 5 * 20)
SA = (2 * π * 25) + (2 * π * 5 * 20)
SA = (2 * π * 25) + (2 * π * 5 * 20)
SA = (157) + (628)
SA = 785
The answer is
A. 785 square meters.
20.
SA of a rectangle = 2(wl + hl + hw)
w = 15
l = 4
h = 14
SA = 2(15*4 + 14*4 + 14*15)
SA = 2(60 + 56 + 210)
SA = 2(326)
SA = 652
The answer is
B. 652 square centimeters
Answer:
19.SA of a cylinder = (2 * π * r²) + (2 * π * r * h)SA = (2 * π * 5²) + (2 * π * 5 * 20)SA = (2 * π * 25) + (2 * π * 5 * 20)SA = (2 * π * 25) + (2 * π * 5 * 20)SA = (157) + (628)SA = 785The answer is A. 785 square meters.20.SA of a rectangle = 2(wl + hl + hw)w = 15l = 4h = 14SA = 2(15*4 + 14*4 + 14*15)SA = 2(60 + 56 + 210)SA = 2(326)SA = 652The answer is B. 652 square centimeters.
Step-by-step explanation: I did the math and this is what I got.
write an equation to represent the relation. Then solve the equation. A number decreased by 30 is the same as 14 minus 3 times the number
Answers
x-30 =14-3x
subtract 1 x from each side
-30 =14-2x
subtract 14 from each side
-44 = 2x
x=-44/2 = -22
x=-22
check:-22-30 = -52
14-3(-22) = 14-66 =-52
both equations equal
X = -22
What is P(0.6 ≤ z ≤ 2.12)?
Answers
P( 0.6≤ z≤ 2012) is the probability or area (of the bell shaped curve) between the value of z = 2.212 & z = 0.6.
To that end for z₁ = 2.12 you find an area = 0.9830 and
for z₂ = 0.6 you find an area = 0.7257
Subtract those values z₁ - z₂ = 0.9830 - 0.7257 = 0.2573
and P( 0.6≤ z≤ 2012) = 0.2573 (0r 25.73%)
The value of P(0.6 ≤ z ≤ 2.12) is, 26%
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
To Calculate the percent of a number , divide the number by whole number and multiply by 100.
Given that;
To find the value of P(0.6 ≤ z ≤ 2.12).
Now, We can simplify as;
P(0.6 ≤ z ≤ 2.12) = P( z ≤ 2.12) - P(z < 0.6)
So, From the Cumulative Standardized Normal Distribution table,
P( z ≤ 2.12) = 0.9830
P(z < 0.6) = 0.7257
Hence, We get;
P(0.6 ≤ z ≤ 2.12) = P( z ≤ 2.12) - P(z < 0.6)
P(0.6 ≤ z ≤ 2.12) = 0.9830 - 0.7257
P(0.6 ≤ z ≤ 2.12) = 0.2573
P(0.6 ≤ z ≤ 2.12) = 0.26
P(0.6 ≤ z ≤ 2.12) = 26%
Thus, The value of P(0.6 ≤ z ≤ 2.12) is, 26%
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A survey showed that 30% of students bring their lunch to school. The survey polled 300 students. How many of the 300 students do Not bring their lunch to school?
Answers
600 is 10 times as much as
Answers
How do variables help you model real-world situations? Give an example
Answers
Use long division to convert -45/8 to a decimal.
A. -5.625
B. -6.252
C. 5.625
D. 6.252
Answers
16pie/9inches
64pie/9inches
What two-dimensional cross-sections could we create by slicing a sphere?
Answers
what number is 26.8% of 67.5?
and
325% of what is 78.65?
Answers
26.8% as a number is 0.268 (if you don't know how I got this, just divide that percentage by 100, and a 1.00 is equal to a 100%) and 0.268 * 67.5 is 18.09.
(You can round that)
Now 325% as a number is 3.25 (it's bigger than 100% so its increasing)
3.25 * 78.65 is 255.6125.
2. We assume, that x is the value we are looking for.
3. If 78.65 is 100%, so we can write it down as 78.65=100%.
4. We know, that x is 325% of the output value, so we can write it down as x=325%.
5. Now we have two simple equations:
1) 78.65=100%
2) x=325%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
78.65/x=100%/325%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for what is 325% of 78.65
78.65/x=100/325
(78.65/x)*x=(100/325)*x - we multiply both sides of the equation by x
78.65=0.307692307692*x - we divide both sides of the equation by (0.307692307692) to get x
78.65/0.307692307692=x
255.6125=x
x=255.6125
now we have:
325% of 78.65=255.6125
1. We assume, that the number 67.5 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 67.5 is 100%, so we can write it down as 67.5=100%.
4. We know, that x is 26.8% of the output value, so we can write it down as x=26.8%.
5. Now we have two simple equations:
1) 67.5=100%
2) x=26.8%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
67.5/x=100%/26.8%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for what is 26.8% of 67.5
67.5/x=100/26.8
(67.5/x)*x=(100/26.8)*x - we multiply both sides of the equation by x
67.5=3.73134328358*x - we divide both sides of the equation by (3.73134328358) to get x
67.5/3.73134328358=x
18.09=x
x=18.09
now we have:
26.8% of 67.5=18.09.
Hope this helped
A gardener uses a tray of 6 conical pots to plant seeds. Each conical pot has a radius of 3 centimeters and a depth of 8 centimeters. About how many cubic centimeters of soil are needed to plant the full tray? Round to the nearest cubic centimeter.
Answers
By definition, the volume of a cone is given by:
[tex] V = (\frac{1}{3}) * (\pi) * (r ^ 2) * (h)
[/tex]
Where,
r: radius of the circular base
h: height of the cone
Since we have 6 conical pots, then the total volume is:
[tex]Vt=6V[/tex]
[tex] Vt = 6 * (\frac{1}{3}) * (\pi) * (r ^ 2) * (h)
[/tex]
Substituting values we have:
[tex] Vt = 6 * (\frac{1}{3}) * (3.14) * (3 ^ 2) * (8)
Vt = 452.16 cm ^ 3
[/tex]
Rounding to the nearest cubic centimeter:
[tex] Vt = 452 cm ^ 3
[/tex]
Answer:
are needed 452 cm^3 of soil to plant the full tray
The cubic centimeters of soil are needed to plant the full tray is approximately 452cubic in
Volume of a coneThe formula for calculating the volume of a cone is expressed as:
V = 1/3πr²h
r is the radius = 3cm
h is the height = 8cm
Substitute
V = 1/3 * 3.14 * 3^2 * 8
V = 75.36 cubic cm
Since the gardener uses a tray of 6 conical pots to plant seeds, the total volume will be expressed as:
T = 6(75.36)
T = 452cubic in
Hence the cubic centimeters of soil are needed to plant the full tray is approximately 452cubic in
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Please I need help with number 9 !!!! For brainlest answer and thanks !!!!!
Answers
Isolate s by subtracting 2.8 from both sides. What you do to one side, you must do to another in an equation.
s+2.8-2.8= 6.59-2.8
s= 3.79
Final answer: B
seven subtracted from 4 times a number (x) is more than 13
Answers
4n>20 divide both sides by 4
n>5
In this equation, you will use subtraction, multiplication, and addition.
A refrigerator contains 11 drinks 5 lemons drinks 3 apple drinks and 3 orange drinks. Abby is first in the line for drinks. Telly is second. What is the probability that Abby will get a lemon drink and Telly will get an orange drink.
Answers
P(LO)=3/22
Identify all sets to which the number 3.1214122144 . . . belongs. Choose from irrational,rational,whole,and integer
Answers
hope this helps:)
please mark thanks and brainleist:)
The ratio of trumpet players to tuba players at a high school is 5:2 Which statement is true?
A.2/5 of the total tuba and trumpet players are tuba players.
B.The number of trumpet players is 2.5 times the number of tuba players.
C.There are 2 trumpet players for every 5 tuba players.
D.If there are a total of 100 trumpet and tuba players, 52 of them are tuba players.
Answers
The ratio of trumpet players to tuba players at the high school is 5:2. There are 2 trumpet players for every 5 tuba players.
Explanation:The ratio of trumpet players to tuba players at a high school is 5:2. This means that for every 5 trumpet players, there are 2 tuba players. Therefore, option C is correct, which states that there are 2 trumpet players for every 5 tuba players.
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What is the área of a circule with a radious of 3 meters use 3.14
Answers
Area= 3.14(3^2)
Area=3.14• 9
Area = 28.26.
The formula to find the area of a circle using 3.14 for [tex] \pi [/tex] would be,
[tex]A=3.14*r^2[/tex]
For this question, the area of a circle would be,
[tex]A=3.14*3^2[/tex]
Let's simplify it.
A ≈ 28.26
Since we are using an approximation, we have to use the approximation sign (≈)
Thanks!
-TetraFish
Lucy has to run two errands. She starts from home and travels 3 miles south to the post office. From the post office, she travels 4 miles east to the gas station. Then, from the gas station, she travels 5 miles to return home. The entire trip forms a triangle.
What was the smallest angle made in her trip?
It is at the gas station.
It is at Lucy’s home.
It is at the post office.
It depends on the direction Lucy is traveling.
Answers
Lucy starts from home and travels 3 miles south to the post office. From the post office, she travels 4 miles east to the gas station. As it is known south and east directions form right angle. Since the entire trip forms a triangle, this triangle is right with right angle at post office.
Call the vertices of this triangle P - post office, G - gas station, H - home. Then HP and PG are legs of this triangle and GH is hypotenuse.
From the given data:
HP=3;PG=4;GH=5;∠P=90°.The smallest angle is opposite to the smallest side. The smallest side is leg HP, so the smallest angle is G that is the angle at gas station.
Answer: correct choice is A.
In this exercise we have to mark the correct alternative corresponding to the location, so we have:
Letter A
The following information was then given by the statement:
Lucy starts from home and travels 3 miles south to the post officeFrom the post office, she travels 4 miles east to the gas station.Imagining the paths made by lucy as a triangle, we know that the longest path that corresponds to the hypotenuse will be from the gas station to her house, so:
HP=3;PG=4;GH=5;P=90°.We have:
[tex]180-90=90\\90/2=45\\45-15=30[/tex]
The smallest angle is at the gas station.
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part 2
Fred bakes 10 dozen cookies for the bake sale. He makes the following types of cookies:
. 1/2 chocolate chip
. 1/4 peanut butter
. 1/8 sugar cookies
. 1/8 oatmeal raisin cookies
4. How many of each type of cookie did Fred make? Show your work.
Chocolate chip_________
Peanut Butter _______
Sugar cookies ________
Oatmeal raisin_______
5. Unfortunately, Fred had some trouble in the kitchen and 3/5 of the peanut butter cookies were burned.
a. How many peanut butter cookies does Fred have left to sell? _____
b. Explain how you know this is correct.
Answers
12*10= 120 cookies
chocolate chip is 1/2
1/2 of 120 is 60
60 chocolate chip cookies
Peanut Butter is 1/4 (or half of 1/2)
1/2=60 so that means 1/4=30
30 PB cookies
Sugar and oatmeal raisin are both 1/8 (half of 1/4)
1/4= 30 so that means 1/8=15
15 Sugar Cookies
15 Oatmeal Raisin
3/5 of PB were burned
Original PB was 30
3/5 of 30 is 18
18 cookies were burnt
30-18=12 (which were salvaged)
12 PB cookies remain
Hope this helps
which whole number is closest to √149
Answers
For normally distributed data, what proportion of observations have z-scores satisfying the following conditions:
0.62 < z < 2.92
Answers
P(z<=0.62) = 0.7324
P(z<=2.92) = 0.9983
Therefore
P(0.62 < z <2.92) = 0.9983 - 0.7324 = 0.2659
The required proportion is 0.2659 or 26.6%
Answer: 0.266 or 26.6%
Avery owns stocks in Ever Rise Corporation. The stock price increased by 120% over the past week. If the stock price was p last week, write two equivalent expressions that represent the current stock price and explain what their equivalence means. Substitute one or more variables into the expressions to prove them equivalent.
Answers
Answer:
Expression 1. P+1.2p
Expression 2. 2.2p
Step-by-step explanation:
These 2 equivalent expressions state that increasing a value by 120% is the same as multiplying the original value by 2.2.
Example: assume that p=50. The first expression gives p+1.2p=50+1.2(50) =110. The second expression gives 2.2p=2.2(50)=110
The two expressions 1.2p and p + 0.2p are equivalent, as they both represent the same relationship between the current stock price and the stock price last week.
What is the expression?
Expressions are defined as mathematical statements that have a minimum of two terms containing that variables or numbers.
If the stock price increased by 120% over the past week, then the current stock price is 120% of the stock price last week. This can be represented by the equation:
current price = 1.2p
Another way to represent the same relationship is to say that the current price is the stock price last week plus 120% of the stock price last week. This can be represented by the equation:
current price = p + 0.2p
To prove that these two expressions are equivalent, we can substitute a value for p into both equations and show that they give the same result. For example, if the stock price last week was $100, then:
current price = 1.2100 = $120
current price = 100 + 0.2100 = $120
Therefore, the two expressions are equivalent, as they both represent the same relationship between the current stock price and the stock price last week.
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8;7 ratio is boys out of 195 campers