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
help mee !!!
The rectangular floor of a classroom is 36 feet in length and 32 feet in width. A scale drawing of the floor has a length of 9 inches. What is the area, in square inches, of the floor in the scale drawing? Show all work
Answers
Answer:
72
Step-by-step explanation:divide 36 by 9 and find the ration is 4. Apply same ratio to the width and the result is 8; 32/4=8. Area of rectangle is length times width; 9x8=72 sq inches
please show all work
Answers
Answer:
[tex]x=21.6[/tex]
Step-by-step explanation:
Use the Pythagorean theorem to solve this problem. The Pythagorean theorem states the following,
[tex]a^2 + b^c = c^2[/tex]
Where (a) and (b) are the legs or the sides adjacent to the right angle, and (c) is the hypotenuse or the side opposite the right angle.
Use the Pythagorean theorem in the right triangle with legs (15) and (18),
[tex](15)^2+(18)^2=c^2\\\\225 + 324=c^2\\\\549=c^2\\\\\sqrt{549}=c[/tex]
Use the Pythagorean theorem again in the right triangle with the legs (18) and (x)
[tex](x)^2+(18)^2=c^2\\\\\sqrt{x^2+324}=c[/tex]
Use the Pythagorean theorem one final time in the larger triangle,
[tex](\sqrt{x^2+324})^2+(\sqrt{549})^2=(x+15)^2\\[/tex]
Simplify, remember that anything to the power (2) is equal to the base (number under the exponent) times itself,
[tex]x^2+324+549=x^2+30x+225[/tex]
[tex]x^2+873=x^2+30x+225[/tex]
Inverse operations,
[tex]x^2+873=x^2+30x+225\\-x^2\\\\873=30x+225\\-225\\\\648=30x\\/30\\\\\frac{648}{30}=x\\\\21.6=x[/tex]
The vertices of triangle ABC are A(−2, 3), B(4, 3), and C(−2, −4). The triangle is dilated with a scale factor of 2. Estimate the perimeter of the dilated figure to the nearest whole number.
Answers
Answer:
Use dynamic geometry software to draw any triangle and label it △ABC. a. Dilate △ABC using a scale factor of 2 and a center of dilation at the origin to form ... the scale factor is k = 3. —. 2 . So, the dilation is an enlargement. b. Because. CP′ ... Graph △ABC with vertices A(2, 1), B(4, 1), and C(4, −1) and its image after a.
Step-by-step explanation:
Neeedd helps no links plzzz this is math plzzz help 20 points
Answers
Answer:
y=-2x-8.5
Step-by-step explanation:
A grocery store clerk put only packages of flour tortillas and
packages of corn tortillas on a shelf. The ratio of the number of
packages of corn tortillas to the total number of packages on the
shelf was 6 to 18.
Which number could be the number of packages of flour tortillas the
clerk put on the shelf?
F.
10
G.
20
H.
24
J.
32
Answers
Answer:
10
Step-by-step explanation:
simplify y = (204 - 12p) /12
Answers
Answer:
y = 17 - p
Step-by-step explanation:
Given y = (204 - 12p) /12
we need to simplify
To do so all we have to do is divide what is inside of the parenthesis by 12
204/12=17
-12p/12=-p
we're left with y = 17 - p
A trapezoid is shown. The length of one base is 10 and the length of the other base is 6. The height of the altitude is 5. A small rectangle with height 2 and length 3 is cut out of the bottom of the trapezoid. What is the area of the composite figure? units2
Answers
Friend! your answer would be 34!
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Have a nice day and I hope it helps!
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-- XxFTSxX
The area of the composite figure is 34 square units.
The formula for the area of a trapezoid is:
Area = (1/2) × (sum of bases) × height
Here, the sum of the bases is 10 + 6 = 16, and the height is 5.
Thus, the area of the trapezoid before the rectangle is cut out is:
Area of trapezoid = (1/2) × 16 × 5 = 40 units²
The height of the rectangle is 2, and the length is 3.
Therefore, the area of the rectangle is:
Area of rectangle = length × height
= 3 × 2
= 6 units²
To find the area of the composite figure, we subtract the area of the rectangle from the area of the trapezoid:
Area of composite figure = Area of trapezoid - Area of rectangle
= 40 units² - 6 units²
= 34 units²
Therefore, the area of the composite figure is 34 square units.
Learn more about the trapezoid here :
brainly.com/question/8643562
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Rule: y is 1/3 times as large as x. If x=0 y=? x=6 y=? x=12 y=?
Answers
Answer:
So for 0
0*1/3 = 0
6*1/3= 2
12*1/3= 4
Step-by-step explanation:
An equation is formed of two equal expressions. The value of y when the value of x is 0, 6 and 12 is 0, 2, and 4, respectively.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Given the statement that "y is 1/3 times as large as x", therefore, the rule can be written as,
y=(1/3)x
Now, the value of y for different value of x can be written as,
1.) When x=0
y = (1/3)x
y = (1/3)(0)
y = 0
2.) When x=6
y = (1/3)x
y = (1/3)(6)
y = 2
3.) When x=12
y = (1/3)x
y = (1/3)(12)
y = 4
Hence, the value of y when the value of x is 0, 6 and 12 is 0, 2, and 4, respectively.
Learn more about Equation here:
https://brainly.com/question/14686792
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HELPPPPPP: Simplify - {- [- (-8) ] }
Answers
Answer:
[tex]-8[/tex]
Step-by-step explanation:
Just take away parentheses.
given the f(x)=x+2 g(x)=3x²-1 what is (fg) (x)?
Answers
Answer:
(f·g)(x) = 3x² + 1Step-by-step explanation:
Given:
f(x)=x+2, g(x)=3x²-1To find:
(f·g) (x) = ?Solution:
(f·g)(x) = f(g(x)) = f(3x²-1) = (3x²-1) + 2 = 3x² + 1(f·g)(x) = 3x² + 1Find the distance.
a. 9.7
b. 11.7
c. 10.7
d. 12.7
Answers
Answer:
b) 11.7
Step-by-step explanation:
Pls answer quickly will mark brainlest
Answers
Answer:
25
Step-by-step explanation:
That is the answer, 25
helpppppppppppppp pleaseeeeeee
Answers
Answer:
C
Step-by-step explanation:
hope this helps
Answer:
Step-by-step explanation:
FYI
Please help me with this kahn assignment!
Thank you
Answers
Answer:
[tex]7^{8}[/tex]
Step-by-step explanation:
When you multiply exponential numbers with the same base number, you have to add the exponents. So add 2 and 6 because the numbers share 7 as base.
please give brainliest if it helped:)
Unit 6 Area and Perimeter Test
Find the perimeter of the figure below. Use 3.14 for pie If needed, round your answer to the nearest hundredth. SHOW AL
6 ft
4 ft
\5 ft
3 ft
Answers
Which triangles can be right?
equilateral triangle
scalene triangle
isosceles triangle
obtuse triangle
Answers
scalene
scalene
scalene
Answer:
answer is- isosceles triangle
what is the height of the object at the time of the launch?
Answers
Answer:
100 meters!
Step-by-step explanation:
1/6-9/8 as a fraction in simplest form
Answers
Answer: -23/24
Find the area of the parallelogram. 9 m 2 m A = b.h • 9 m?
Answers
Answer:
2.9
18 [tex]m^{2}[/tex]
Step-by-step explanation:
I need help with this problem
Answers
Answer:
24
Step-by-step explanation:
5^2-3^2=?
25-9=16
sqrt 16 = 4
6×4=24
20 points for correct answer
Answers
Answer:
0.167 is rational
2/6 is rational and the other two is irrational
:)
Step-by-step explanation:
Which describes the correlation shown in the scatterplot? 6 5 4 3 2 1 0 1 2 3 3 4 4 5 6
Answers
Answer:
There is a negative correlation in the data set
Step-by-step explanation:
B
The correlation between the variables as shown is a negative correlation.
What is a scatter plot?
A scatter plot is a plot or graph that shows the association between two variables. It can be used to ascertain the correlation between variables at a glance.
Hence, we can see from the scatter plot as shown in the image attached to the question that the correlation between the variables as shown is a negative correlation.
Learn more about scatter plot: https://brainly.com/question/2764328
A third candle, in the shape of a right circular cone, has a volume of 16 cubic inches and a radius of 1.5 inches. What is the height, in inches, of the candle? Round your answer to the nearest inch.
Answers
Given:
Volume of a right circular cone = 16 cubic inches
Radius of the cone = 1.5 inches.
To find:
The height of the cone.
Solution:
The volume of a cone is:
[tex]V=\dfrac{1}{3}\pi r^2h[/tex]
Where, r is the radius and h is the height of the cone.
Putting [tex]V=16,r=1.5,\pi=3.14[/tex] in the above formula.
[tex]16=\dfrac{1}{3}(3.14)(1.5)^2h[/tex]
[tex]48=(3.14)(2.25)h[/tex]
[tex]48=7.065h[/tex]
Divide both sides by 7.065.
[tex]\dfrac{48}{7.065}=h[/tex]
[tex]6.794=h[/tex]
[tex]h\approx 7[/tex]
Therefore, the height of the cone is 7 inches.
WHICH OF THE FOLLOWING CAN BE SUBSTITUDED FOR Y TO MAKE THE EQUANITIY TRUE 24>6+3Y
Answers
Answer:
Step-by-step explanation:
3Y+6<24
3Y<18
Y<6
Y can be any number/integer that is less than 6.
The cracker manufacturer is trying to determine the best dimensions for the boxes to hold their product so that they use the least amount of cardboard.
A rectangular prism with length of 6 inches, width of 4 inches, and height of 12 inches. A rectangular prism with length of 7 inches, width of 6 inches, and height of 9 inches.
Which box uses less cardboard, and how much less cardboard does it use?
A. The box on the right uses 30 inches squared less cardboard.
B. The box on the left uses 30 inches squared less cardboard.
C. The box on the right uses 90 inches squared less cardboard.
D. The box on the left uses 90 inches squared less cardboard.
Answers
Answer:
B, the box on the left used 30 in square units less cardboard.
Step-by-step explanation:
I took this question on my quiz and got it right.
Answer:
Step-by-step explanation:
Irrational or rational -14.3
Answers
Answer:
It is an rational
Step-by-step explanation:
Find the value of x.
Can someone help please?
Answers
Josh drinks 3 1/2 pints of milk a day. How much is this in cups?
Answers
Answer:
7 cups
Step-by-step explanation:
1 pint is 2 cups.
Just double the number of pints to get the amount of cups
Answer:
7
Step-by-step explanation:
PLZ HELP !! PICK ABC OR D
Answers
Answer:
C
Step-by-step explanation:
Please help, I will give brainliest to whoever helps!
