please please do a step by step of how to solve the equation and the answer! please and thank you!
Answers
Answer:
Value of x using quadratic formula (x = -4) and (x = -5)
Step-by-step explanation:
Given:
Equation
x² + 9x + 20 = 0
Find:
Value of x using quadratic formula
Computation:
Quadratic formula = [-b±√b²-4ac] / 2a
Given equation;
x² + 9x + 20 = 0
a = 1 , b = 9 , c = 20
By putting value
[-9±√9²-4(1)(20)] / 2(1)
[-9±√81-80] / 2
[-9±√1] / 2
(-9 + 1) / 2 , (-9 - 1) / 2
-8 / 2 , 10 / 2
-4 , - 5
Value of x using quadratic formula (x = -4) and (x = -5)
Related Questions
Ellen is drawing two polygons. One of the polygons has 3 more angels then the other. What shapes could she be drawing?
Answers
Answer:
Step-by-step explanation:
This is quite and easy one, but also vague at the same time.
A polygon is a shape with 5 or more sides, so, if she were drawing a pentagon, then the second polygon has to be an octagon. A pentagon has 5 sides, and an octagon has 5 + 3 sides
In the same vein, if she were drawing a hexagon, with 6 sides, the other polygon has to be monsoon, with 6 + 3 sides.
A heptagon also gives us a 7 + 3 polygon, in decagon.
All in all, it depends on the first polygon she's drawing as the question is vague in that aspect.
Select the scenario that could be modeled by each of the given equations. For each equation, the variable c represents the cost and the variable n represents the number of items.
Answers
Answer:
c = 1.41n i think lol
Step-by-step explanation:
Answer:
The correct answers are these.
Step-by-step explanation:
A light bulb consumes 1800 watt-hours per day. How long does it take to consume 8100 watt-hours?
Answers
Answer:
8100/1800 = 4.5 days
Step-by-step explanation:
A trapezoid with a height of 8 ft base measuring 11 ft has an area of 112ft find the length of the other base
Answers
Answer:
1.27272727273 I think
Step-by-step explanation:
The perimeter of an equilateral triangle is 60 centimeters. The length of the altitude of the triangle is XV3 centimeters. What is the value of x?
Answers
9514 1404 393
Answer:
x = 10
Step-by-step explanation:
Half of the triangle makes a 30°-60°-90° "special" triangle. We know the side ratios of that are 1 : √3 : 2. The long side is 1/3 of the perimeter, so is 60/3 = 20 = 10×2. Then the altitude is 10 times the middle ratio value: 10√3 ≈ 17.32.
Comparing this with x√3, we find x = 10.
Answer:
X = 25
Step-by-step explanation:
To solve this question, we'll first of all find determine the side length of the triangle from the perimeter.
Perimeter of an equilaterial triangle = 3 * s
S = side length
Perimeter = 150cm
150 = 3s
S = 150 / 3
S = 50cm
The side lengths are 50cm each since they are all equal.
To find x,
We have to divide the triangle equally into two different part.
Check the first attachment for better illustration on how the equilaterial triangle is.
Check the second attachment for better illustration on the triangle when its divided into a right angle triangle.
From the right angle triangle, we can use pythagorean theorem to solve for x
a² = b² + c²
a = 50cm
b = 25cm
c = x√(3)
50² = [x√(3)]² + 25²
2500 = x² * 3 + 625
2500 - 625 = 3x²
1875 = 3x²
X² = 1875 / 3
X² = 625
X = √(625)
X = 25
HOPE THIS HELPS
if so please give me a brainlist
Please help with this
Answers
Answer:
1, 2, 3, 6, 9, 18, 27, 54
Step-by-step explanation:
For which of the following equations does n = 5?
I. 3n = 15
II. n2 = 25
III. 2n = 32
Answers
Answer:
1) 3n = 15
Step-by-step explanation:
15 divided by 3 is 5
The circumference of the inner circle is 270.04 miles. What is the area of the shaded region?
Answers
area of a circle = [tex]\pi r^{2}[/tex]
circumference =[tex]2\pi r[/tex]
Okay so the center of the circle is the same for both of the circles lets take that value as m so the radius of the inner circle is 54 - m
we have the circumference of the inner circle which is 270.04 we can find the value of m using that
[tex]270.04=2\pi (54-m)\\270.04= 339.2-6.28m \\6.28m = 339.2-270.04\\m= 11.02[/tex]
the radius of the inner circle is therefore 42.98
and the full circle has a radius off 65.02
area of shaded region = area of full circle - area of inner circle
area of shaded region = [tex]\pi (65.02)^{2} - \pi (42.98)^{2}[/tex]
area of shaded region = [tex]13281.39 - 5803.4[/tex]
area of shaded region = 7478 rounded off to the nearest whole number
Please help almost finisHHHH
Answers
Answer:
B. The y-coordinate is positive.
Step-by-step explanation:
Solve the system using substitution. y = 2x + 10
y = x + 8
A. ( 6, 14)
b. ( 2, 14)
C. (2, 10)
D. (-2,6)
Answers
Answer:
Hi! The answer to your question is D. (-2, 6)
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*:☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆ .｡..｡.:*☆
☁Brainliest is greatly appreciated!☁
Hope this helps!!
- Brooklynn Deka
Determine whether the pair of lines is parallel perpendicular or neither 26x+2y=4 and -3x+39y=-15
Answers
What is the slope and y-intercept of the following equation: 5x - 3y = 36
Answers
Answer:
y=5/3x-12
slope= 5/3
y-intercept= -12
Step-by-step explanation:
i hope this helps :)
PLEASE HELP!!
Find the volume of the following
square pyramid.
Help Resources
8 cm
6 cm
6 cm
V = [?] cm3
Enter
Answers
Answer:
96
Step-by-step explanation:
The volume of the square pyramid is 96 cm³.
How to find the volume of a square pyramid?
You can locate the extent of a normal square pyramid with the use of the volume formula= base location² × height / 3. Take be aware that the bottom vicinity equals the square of the pyramid's base side period. However, the peak is the perpendicular distance between the pyramid's base and the pyramid's vertex.
By using the given formula, we get
V= a² h/3
=6² * 8 / 3 = 96
The answer is 96 cm³.
The volume of a pyramid is found using the formula V = (1/3) B*h, where 'B' is the base area and 'h' is the height of the pyramid.
Learn more about the volume of a pyramid here: https://brainly.com/question/21510592
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Please help due in 5 minutes
Answers
Answer:
18,24,30
Step-by-step explanation:
hope this helps
Answer:
c
Step-by-step explanation:
because that the hypotenuse 30 adjacent 18 and opposite 24
30 is what percent of 40?
Answers
Answer:
it is 75% sheeeesh. jdjdjd
Step-by-step explanation:
3/4
Answer:
75%
Step-by-step explanation:
Let the answer be 'x'
40 × x/100 =30
40x/100 = 30
40x= 3000
x =3000÷40
x= 75
thus 30 is 75% of 40
(lg 5)²+(lg 2)(lg 50)
need solution....
Answers
A triangle has sides with lengths of 9 yards, 12 yards, and 15 yards. Is it a right triangle?
Answers
Answer:
Yes
Step-by-step explanation:
Plug your values into the Pythagorean Theorem to check if they make sense
Tina has 3 quarters, 1 dime, and 6 nickels in her pocket.
Find the probability of randomly drawing a nickel?
Answers
Answer:
60%
Step-by-step explanation:
Tina has 3 quarters, 1 dime, and 6 nickels, or 10 coins in total.
They are asking for the probability of drawing a nickel (6 in total). Divide 6 from the total amount of coins:
6/10 = 0.60, or 60%
Tina has a 60% chance of drawing a nickel from her pocket.
~
What is the next term of the geometric sequence 5, 20,80
Answers
Answer:
a₄ = 320
Step-by-step explanation:
To obtain a term in a geometric sequence , multiply the previous term by the common ratio r
r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{20}{5}[/tex] = 4 , then
a₄ = 4 × a₃ = 4 × 80 = 320
Gina is building a rectangular prism out of sugar cubes for her art class project. She started by drawing a diagram of the rectangular prism that is 4 cubes high, 4 cubes long and 2 cubes wide. How many cubes does she use to make the prism?
Answers
The rectangular prism is made up of the dimensions
Lenght = 4 cubes
Width = 2 cubes
Height = 4 cubes
The total number of cubes she needs shall be derived as number of cubes along the lenght multiplied by number of cubes along the width, and then multiplied by number of cubes along the height. Therefore, she would have:
[tex]volume = l \times w \times h \\ volume \: = 4 \times 2 \times 4 \\ volume = 32 \: cubes[/tex]
Therefore, She need 32 cubes to make the prism.
True or false: The following table is linear.
Answers
The table is linear because it goes up at a consistent rate each time.
!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
A
Step-by-step explanation:
Answer:
Im gona guess C but im not 100%
Step-by-step explanation:
The dot plot shows two students’ scores on 12 history quizzes.
Which of the following statements correctly compares the median and the range of their scores?
A. The median of Lolo’s scores is greater that the median of Ami’s scores, and the range of Ami’s scores is greater that the range of Lolo’s scores
B. The medians are equal, and the range of Ami’s scores is greater than the range of Lolo’s scores
C. The medians are equal, and the range of Lolo’s scores is greater than the range of Ami’s scores
D. The median and range of Lolo’s scores are greater than the median and range of Ami’s scores
Answers
Answer:
The correct answer is B
Step-by-step explanation:
Both of their medians are equal and Ami's range is larger than Lolo's range :)
The medians are equal, and the range of Ami’s scores is greater than the range of Lolo’s scores
Option B is the correct answer.
What is median?It is the middle value of the given set of numbers after arranging the given set of numbers in order.
We have,
Lolo's quiz:
Scores: 12, 13, 13, 14, 14, 14, 15, 16, 16, 17, 17, 19
Median.
= (14 + 15)/2
= 14.5
Range,
= 19 - 12
= 7
Ami's score:
Scores: 10, 12, 12, 13, 13, 14, 15, 16, 17, 17, 18, 18
Median.
= (14 + 15)/2
= 14.5
Range.
= 18 - 10
= 8
We can say that,
The median is the same for both and Ami's range is greater than Lolo's.
Thus,
The medians are equal, and the range of Ami’s scores is greater than the range of Lolo’s scores
Learn more about median here:
https://brainly.com/question/28060453
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What shape is figure b?
Figure a is a half sphere and figure b is a cylinder.
cylinder
sphere
half sphere
cone
Answers
The solution is, Figure a is a half sphere and figure b is a cylinder.
What is shape?In geometry, a shape can be defined as the form of an object or its outline, outer boundary or outer surface. Everything we see in the world around us has a shape.
here, we have,
from the given figure, we have,
the given shape has two parts,
the upper half is a half sphere.
Hemisphere includes the prefix hemi-, meaning "half". The northern and southern hemispheres are divided by the equator, the circle halfway between Earth's two poles. The eastern and western hemispheres aren't divided so exactly, since there are no poles in the Earth's east-west dimension.
and, the part b is a cylinder.
A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface. The center of the circular bases overlaps each other to form a right cylinder.
Hence, The solution is, Figure a is a half sphere and figure b is a cylinder.
learn more on shape:
https://brainly.com/question/7646735
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5
?
Find the arc length of the partial circle.
Either enter an exact answer in terms of Tor use 3.14 for and enter your answer as
decimal.
units
Answers
Answer:
its 7.5 pi
Step-by-step explanation:
The length of the arc of the particle circle is equal to 23.55 units
What is the area and circumference of a circle?The circumference (or) perimeter of a circle = 2πr units. The area of a circle = πr2 square units. Where r is the radius of the circle. The circumference of the circle or the perimeter of the circle is the measurement of the boundary of the circle. Whereas the area of the circle defines the region occupied by the circle.
Given here the radius of the circle as 5 units thus the length of the arc which makes an angle of π-π/2=3π/2 is angle subtended at the centre times the radius of the circle
Arc length = 5×3π/2
= 15π/2
= 15×3.14 /2
= 23.55 units
Hence The length of the arc of the particle circle is equal to 23.55 units
Learn more about circumference of the circle here:
https://brainly.com/question/14200825
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100 POINTS! :)
Please answer the question correctly WITH WORK...otherwise I will report! :)
Joshua has a ladder that is 12.8 ft long. He wants to lean the ladder against a verticle wall so that the top of the ladder is 11 ft above ground. For safety reasons, he wants the angle of the ladder no greater than 75 degrees. Will the ladder be safe at this height? Show your work.
Answers
Answer: So we'll use trig to solve this because it's a right triangle. The hypotenuse is the ladder (h) and the two smaller sides are the ground and the vertical wall (w).
That angle ladder makes with the ground = €
SOH: sin € = opposite/hypotenuse
No the ladder won't be safe!!!
Now let's make it safe:
The ladder's length (w) is constant, so stays 12
So now let's ask in an inequality what height will be safe (75° or less)
what does that mean?? well as long as you put the ladder against the wall so that the height from ground to top of the ladder is < 11.6 ft!!
Hope that helps! :-D
Step-by-step explanation:
evaluate 4z -5y when z=8 and y=3
Answers
Answer:
17
Step-by-step explanation:
In 4z -5y, substitutte 8 for z and 3 for y, obtaining:
4(8) - 5(3) = 32 - 15 = 17
Answer:
17
Step-by-step explanation:
When you have a number by its variable you multiple, if you know the value of the variable then you multiply the two numbers together.
4z-5y
when z=8 and y=3
The equation really is
4 times 8 - 5 times 3
4 times 8 is 32
5 times 3 is 15
15-32
15-32= 17
Can u please help me??
It would be very helpful if u could write down the answer on a piece of paper(50pts)
Answers
Answer:
Given GP:
tₙ = (1/3)ⁿ⁻¹We see that:
t₁ = 1, r = 1/3Sum of n terms:
Sₙ = t₁(1 - rⁿ)/(1 - r)Sₙ = [1 - (1/3)ⁿ] / (1 - 1/3) = [1 - (1/3)ⁿ] / (2/3) = 3/2 [1 - (1/3)ⁿ] Sₙ = 3/2 [1 - (1/3)ⁿ]Janea bought a motorcycle for dollars. It depreciates by a factor of each year. Which expression best predicts the value of the car after 10 years?
Answers
Answer:
m·n¹⁰Step-by-step explanation:
Required equation is in the form of:
V(t) = P*r^t, V- future value, P- present value, r- rate, t- timeIn terms of this question:
m·n¹⁰ is the correct choiceless than equal to or greater than 3827
Answers
Answer:
it is less than, greater than, equal to, and less than
Step-by-step explanation:
if the numerator is greater than the denominator the fraction is greater than 1 and therefore you will have a number greater than 3827, if the numerator is less than the denominator the fraction is less than 1 and you will have a number less than 1, if the numerator and denominator are equal the fraction is equal to 1
Answer:
2. 3,827 > 8/3 3. 3,827 > 8/8 4. 3,827 > 3/5
Step-by-step explanation:
In problem 2. 8/3 as a decimal is 2.6 so that means 3,827 is greater. In problem 3. 8/8 as decimal is 1 so that means 3,827 is greater. In problem 4. 3/5 as a decimal is 0.6 so that means 3,827 is greater. i hope this helps have a good day :)
