Two numbers have a sum of - 6 and a product of 9.
Use the quadratic equation n^2 - 6n + 9 = 0 to determine the two numbers.
n2 - 6n + 9 = 0
Answer:
3, 3
Step-by-step explanation:
[tex]n^2 - 6n + 9 = 0 \\ n^2 - 3n - 3n+ 9 = 0 \\ n(n - 3) - 3(n - 3) = 0 \\ (n - 3)(n - 3) = 0 \\ n - 3 = 0, \: \: n - 3 = 0 \\ n = 3, \: \: n = 3[/tex]
Thus, the two numbers are 3, 3
PLSSSS HELPPPPPP 20 POINTS
the 180 days of school last year. Grace was absent 15 days . What percent of the days was she absent
Problem ID: PRABEAF4
Suppose that during its flight, the elevation e (in feet) of a certain airplane and its time t, in minutes since takeoff, are related by a linear equation. Consider the graph of this equation, with time represented on the horizontal axis and elevation on the vertical axis. For the following situation, decide if the slope is positive, zero, or negative:
The plane is cruising at an altitude of 37,000 feet above sea level.
A soccer ball is kicked from the ground with an initial upward velocity of 90 feet per second. The equation h=-16t^2+90t gives the height h of the ball after t seconds.
a. Find the maximum height of the ball.
b. How many seconds will it take for the ball to reach the ground?
The ball reaches a height of 126.58 ft after 2.8125 seconds
Step-by-step explanation:
The maximum height of a parabola can always be found by looking for the vertex. You can find the x value (or in this case the t value) of a vertex by using -b/2a in which a is the coefficient of x^2 and b is the coefficient of x.
-b/2a
-(90)/2(-16)
-90/-32
2.8125 seconds
Now to find the height, we input that value in for t
h = -16t^2 + 90t
h = -16(2.8125)^2 + 90(2.8125)
126.58 feet
HELPPP ASAP 10 POINTS
The polynomial x3 + 8 is equal to
(x + 2)(x2 – 2x + 4).
(x – 2)(x2 + 2x + 4).
(x + 2)(x2 – 2x + 8).
(x – 2)(x2 + 2x + 8).
Answer:
(x+2)(x2-2x+4).
Step-by-step explanation:
Answer:
A) (x + 2)(x2 – 2x + 4).
Step-by-step explanation:
on edge
The square root of x is less than or equal to 6, select all that apply. Answers: 22 77 1296 -2 17 36
Answer:
The answer is "36"
Step-by-step explanation:
Given:
[tex]\to \bold{\sqrt{x} \leq 6}[/tex]
Square the above value:
[tex]\to (\sqrt{x})^2 \leq (6)^2\\\\\to x \leq 36\\\\[/tex]
Sherry and Karl both started their hike with a small bottle filled with water. Tia started her hike with a larger that was 1/2 full. At the end of the hike, Sherry and Tia’s bottles were each half filled with water. Karl’s bottle was filled 1/3 filled with water. Who has the most water left? Construct a math argument to support your answer.
Answer:
The person with the most water left is;
Tia
Step-by-step explanation:
The parameters given in the question are;
The volume of water Sherry and Karl both started their hike with = 1 small bottle each
The volume of water Tia started her hike with = 1/2 of a larger bottle of water
The volume of water Sherry had at the end of the hike = 1/2 of the small bottle of water
The volume of water Tia had at the end of the hike = 1/2 of the large bottle of water
The volume of water Karl had at the end of the hike = 1/3 of the small bottle of water
Let 'x' and 'y' represent the sizes of the bottles of water with Sherry and Karl respectively and let 'Z' represent the size of the bottle of water Tia started the hike with, we have;
The volume water with Tia at the end of the hike = 1/2·x
The volume water with Karl at the end of the hike = 1/2·y
The volume water with Tia at the end of the hike = 1/2·Z
Given;
Z > x
Z > y
∴ 1/2·Z > 1/2·x
1/2·Z > 1/3·y
Therefore, Tia with half of the larger bottle of water at the end of the hike, 1/2·Z has the most water left.
Jillian wants to figure out how much water will fit inside the water tower that is by her house. So she wants to find the volume of the water tower. True or false?
Answer:
I'm going to say true because that's the most logical answer
Step-by-step explanation:
Alguien que hable ESPAÑOL :)
Answer:
yo
Step-by-step explanation:
Triangle DAN is graphed on the set of axes below.
The vertices of ADAN have coordinates D(-6,-1),
A(6,3), and N(-3,10).
The area of the triangle DAN is 60 square units if the vertices of ΔDAN have coordinates D(-6,-1), A(6,3), and N(-3,10) option first is correct.
What is the triangle?The triangle can be defined as a three-sided polygon in geometry and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.
We have triangle DAN which is graphed on the set of axes.
The vertices of ΔADN have coordinates:
D(-6, -1), A(6, 3), and N(-3, 10)
We can find the area of the triangle using the coordinates of the triangle such as:
[tex]\rm Area \ of \ the \ triangle = \frac{1}{2} [x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)][/tex]
Let's denote the coordinates N(-3, 10), D(-6, -1), andA(6, 3), and with
[tex]\rm (x_1, y_1), (x_2, y_2), \ and \ (x_3,y_3)[/tex] respectively.
Put these points in the above expression, we get:
[tex]\rm Area \ of \ the \ triangle = \frac{1}{2} [-3(-1-3)-6(3-10)+6(10-(-1))][/tex]
[tex]\rm Area \ of \ the \ triangle = \frac{1}{2} [-3(-4)-6(-7)+6(11)][/tex]
[tex]\rm Area \ of \ the \ triangle = \frac{1}{2} [12+42+66][/tex]
[tex]\rm Area \ of \ the \ triangle = \frac{1}{2} [120][/tex]
Area of the triangle = 60square units
Thus, the area of the triangle DAN is 60 square units if the vertices of ΔDAN have coordinates D(-6,-1), A(6,3), and N(-3,10) option first is correct.
Learn more about the triangle here:
brainly.com/question/25813512
GIVING BRAINLIEST AND THE REST OF MY POINTS! PLS HELP :((
Lions and cheetahs prey on wildebeests that graze in the grasslands of the African savanna. What likely effect would increased rainfall over
several rainy seasons have on the populations of wildebeests, lions, and cheetahs?
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Answer:
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........................
Answer:
Step-by-step explanation:
All three populations would increase. The wildebeest population would decrease, and the lion and cheetah populations would increase.
The frequency,f kilohertz of a radio wave is inversely proportional to its wavelength, Ym. The frequency of a radio wave that has a wavelength of 3000m is 100 kHz. Find (i) The frequency of a radio wave that has a length of 500m (ii) The wavelength of a radio wave that has a frequency of 800kHz
Step-by-step explanation:
The frequency of a radio wave that has a wavelength of 3000m is 100 kHz
(a) Wavelength = 500 m
We know that,
[tex]f=\dfrac{c}{\lambda}\\\\f=\dfrac{3\times 10^8}{500}\\\\f=600\ kHz[/tex]
(b) Frequency, f = 800 kHz
[tex]\lambda=\dfrac{c}{f}\\\\\lambda=\dfrac{3\times 10^8}{800\times 10^3}\\\\\lambda=375\ m[/tex]
Hence, this is the required solution.
- 16 – - 22,what is the difference
Answer is 6.
Explaination:
When subtracting a negative number, the number becomes positive and the minus sign to a plus sign.
Sonia walks to her aunt's house. She leaves home at 1025. She walks a total of 12km at an average speed of 5km/h. Work out the time Sonia arrives at her aunt's house.
Answer: 1249 hrs
Step-by-step explanation:
Sophia walked for 12 km to get to her aunt's house.
She did this at a speed of 5km/h which means that the time taken was:
Time = Distance / Speed
= 12 / 5
= 2.4 hours
2.4 in hours:
= 0.4 * 60 minutes
= 24 minutes
= 2 hours 24 minutes
If she left at 1025, she would arrive at:
= 1025 + 2 hours 24
= 1249 hrs
How many anime have you watched and name 10 of them if you can :D
Answer:
the best anime is death note.
Step-by-step explanation:
Answer:
My hero Achadamia is my fav. um Attack of the titan Black Clover and Fruits basket thats all i can name lol
Step-by-step explanation:
i need help with this
Answer:
1) 0.04, 3.6
2) 0.35, 49
Step-by-step explanation:
Answer:
1. 90x0.04= 3.6
2. 140x0.35=49
Step-by-step explanation:
convert to decimal to calculate the percent.
you deposit $1050 into an account that pays 7.25% interest per year. find the amount after six year given the following:
a) compounded semiannually b) compounded monthly
Liz can paint a house in 13 hours. Carlos can paint the same house in 11 hours. How long would it take to work together?
5 hours and 40 min
5 hours and 13 min
5 hours and 22 min
5 hours and 58 min
Answer:
5.9 hours
Step-by-step explanation:
1/13+1/11=1/x
looking for x
x= 5.9
are you clear?
number 7 pls im dead I need help
Answer:
c
Step-by-step explanation:
divide the two numbers.
What's the surface area if the radius of a cylinder is 6 and the height is 10 in ?
Answer:
A≈603.19in²
Step-by-step explanation:
sorry if it's wrong
Answer:
603.19
Step-by-step explanation:
For the function a(-5) = -2, and a(-2) = -5. If y = a(x), what is the value of y when x = -2?
A resposta é -5, como diz na pergunta.
A company’s board of directors took a random sample of 10% of the company’s employees and surveyed them about their happiness at work. What would most likely happen if they decided to randomly sample 15% of the company’s employees instead?
A. The sample mean would more closely model the population mean.
B. The sample mean would not be affected.
C. There is not enough information to determine how the sample mean would be affected.
D. The sample mean would less closely model the population mean.
Answer:
The sample mean would more closely model the population mean.
Step-by-step explanation:
Can the sides of a triangle have lengths of 3, 8, and 3
Explain??
Answer:
no
Step-by-step explanation:
the triangle rule is the sum of any two sides of a triangle MUST be larger than the third, in this case 3+8 > 3, but 3+3 < 8 so it cannot be a triangle
Answer:
An isosceles triangle has two side lengths that are the same and one side length that is different. Soo... basically to sum it up in a word, yep.
Step-by-step explanation:
3x-5>-41
Solving inequality
Answer:
x [tex]\geq 11[/tex]
Step-by-step explanation:
x can equal anything -11 and above
A pyramid at a museum has a height of 21 meters and a square base with side lengths of 30 meters. 21 m 30 m What is the approximate volume of the pyramid?
Answer: 6,300 m^3
Step-by-step explanation:
Put numbers into calculator
Ernie is . All of these points on the same line because the slope between (0, 0) and (3, 3) equal to -4.
Answer:
Ernie is incorrect.
Step-by-step explanation:
I suppose that we want to see if Ernie statement is correct or not.
Suppose that we have a line that passes through the points (x₁, y₁) and (x₂, y₂)
The slope of that line can be calculated as:
slope = (y₂ - y₁)/(x₂ - x₁)
In this case, we know that the line passes through (0, 0) and (3, 3), then the slope of this line is:
slope = (3 - 0)/(3 - 0) = 3/3 = 1
Then Ernie got the slope wrong, which means that he is wrong.
so is not 30 so what is it? I’ll mark brainliest
Answer:
15
Step-by-step explanation:
in a triangle
base (b) = 5 cm
height (h) = 6 cm
Area of the triangle
= 1/2 * b * h
= 1/2 * 5 * 6
= 5 * 3
= 15 cm²
hope it helps :)
For the function g(x) = -3x - 8, find the value of x when g(x) = 10.
Answer:
-6
Step-by-step explanation:
substitute -6 for x in the equation g(x)=-3x-8
= -3(-6) -8
=18-8
=10
hope this helped!