Answer:
a = 5, b = -3 and c =1
Step-by-step explanation:
The standard form of a quadratic equation is expressed as;
f(x) = ax² + bx + c
Given the expression
f(x) = 5x² = 3x - 1
f(x) = 5x² - 3x + 1
Comparing with the general formula;
ax² = 5x²
a = 5
bx = -3x
b = -3
c = 1
Hence a = 5, b = -3 and c =1
me pueden ayudar en esto por favor
Answer:
2cm: 6.28
4cm: 12.56
6cm: 18.84
8cm: 25.12
10cm: 31.4
12cm: 37.68
Step-by-step explanation:
Write each as an algebraic expression.
4 cubed
Answer:
4 exponent 3 or if you want the answer it is 64
Step-by-step explanation:
See the image below:)
The cone has a base diameter of 20cm and a slant height of 25 cm.
A circle is drawn around the surface of the cone at a slant height of 10cm above the base.
The curved surface of the cone above the circle is painted grey.
Work out the area of the curved surface of the cone that is not painted grey,
Give your answer as a multiple of
You must show all your working.
Answer:
The area of the cone not painted is approximately 196.35 cm²
Step-by-step explanation:
The question relates to similar shapes;
We have;
The base diameter of the cone, D₁ = 20 cm
The slant height of the cone, l₁ = 25 cm
The height at which the circle is drawn, 10 cm above the base, we have; l₂ = 25 cm - 10 cm = 15 cm
Let 'x' represent the diameter of the circle formed by the drawn circle, we have;
By similar triangles, we get;
D₁/l₁ = x/l₂
x = l₂ × D₁/l₁
20/25 = x/15
x = (20/25) × 15 = 12
The curved surface area of the cone, A = π·r·l
The area of the curved surface of the entire cone, A₁ = π·r₁·l₁
r₁ = D₁/2
Therefore, we get, A₁ = π × 20/2 × 25 = 250·π
A₂ = π × 15/2 × 25 = 187.5·π
The area of the cone not painted, A = A₁ - A₂
∴ A = 250·π - 187.5·π = 62.5·π
The area of the cone not painted, A = 62.5·π ≈ 196.35
The area of the cone not painted ≈ 196.35 cm²
The radius of a CD is 6cm which equation could be used to find the circumference of the CD in cm ?
Answer:
2πr
Step-by-step explanation:
to find the circumference you must multiply the radius by pi and 2
Answer:
it is 3 pi
Step-by-step explanation:
Solve the system by graphing write the solution as an ordered pair y=-3x+3 y=1/2x-4
Answer:
Hi! The answer to your question is (2,-3)
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☁Brainliest is greatly appreciated!☁
Hope this helps!!
- Brooklynn Deka
A computer program found that the line y=3x - 52 is the best line of best fit to represent the temperature outside and the amount of ice cream sold on the beach. If the temperature is predicted to be 70 degrees tomorrow, how much ice cream can they expect to sell?
Answer:
158
Step-by-step explanation:
given x = 70
=> y = 3(70) -52 = 210 -52 = 158
the ice cream they can expect to sell = 158
can you answer this???
Answer:
no sorry
Step-by-step explanation:
A positive number is 5 times another number if 21 is added to both the numbers the one of the new numbers becomes twice the other number. what are the numbers
Answer:
Hey mate......
Step-by-step explanation:
This is ur answer.....
A positive number is 5 times another number. If 21 is added to both the numbers, then one of the new numbers becomes twice the other new number. What are the numbers? Thus, the required numbers are 7 and 35
A picture is attached!
Hope it helps!
Brainliest pls!
Follow me! :)
HELPP!! Simplify sin q + cosq cotq
Answer:
csc(q)
Step-by-step explanation:
You could plug in values for q for the problem and the choices and see which choice gives the same outputs. Of course, that would mean you need to know that cot() is cos()/sin() or 1/tan() and csc()=1/sin()
So anyways you can also use identities to rewrite the given expression
sin(q)+cos(q)cot(q) [given ]
sin(q)+cos(q)cos(q)/sin(q) by quotient identity
sin(q)+cos^2(q)/sin(q) [simplify]
sin(q)sin(q)/sin(q)+cos^2(q)/sin(q) multiply first term by 1
sin^2(q)/sin(q)+cos^2(q)/sin(q) [simplify ]
(sin^2(q)+cos^2(q))/sin(q) [combined fractions ]
1/sin(q) by Pythagorean identity
csc(q) by reciprocal identity
Gina drew three small congruent circles
beside one large circle.
2 cm
Based on the diagram, which answer
choice is closest to the area of the large
circle?
F 28.3 cm?
H 18.8 cm?
G 12.6 cm? J 24.4 cm?
7.9B
Answer:
7.9
Step-by-step explanation:
Find the value of x. Round the length to the nearest tenth.
33 cm
4.1 cm
4.4 cm
11.3 cm
Answer:
4.4 =x
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp/ adj
tan 20 = x/12
12 tan 20 = x
4.367642811=x
Rounding to the nearest tenth
4.4 =x
Answer:
4.4 cm
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTrigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] tanθ = opposite over adjacentStep-by-step explanation:
Step 1: Define
Identify variables
Angle θ = 20°
Opposite Leg = x
Adjacent Leg = 12 cm
Step 2: Solve for x
Substitute in variables [Tangent]: [tex]\displaystyle tan(20^\circ) = \frac{x}{12}[/tex][Multiplication Property of Equality] Multiply 12 on both sides: [tex]\displaystyle 12tan(20^\circ) = x[/tex]Rewrite: [tex]\displaystyle x = 12tan(20^\circ)[/tex]Evaluate: [tex]\displaystyle x = 4.36764[/tex]Round: [tex]\displaystyle x = 4.4[/tex]what is the area of 3.46ft and 4ft
Answer: 13.84
Step-by-step explanation:
The formula is Length x Width (3.46 x 4) Hope this helps!
Hiiiooo! Can someone please help ❤️
Answer:
B. √21
Step-by-step explanation:
x^2 = √5 x √5 + 4 x 4
x^2 = 5 + 16
x^2 = 21
x = √21
Hope that helps! :)
-Aphrodite
Answer:
im not entirely sure but the equation for your hypotenuse (x) is [tex]\sqrt 5^{2} * 4^{2}[/tex]
which is 80 and the square root of 80 is 8.944 and that would be your hypotenuse
(i just realized that is completely wrong, sorry)
Solve the inequality:
8 = 5a > -12
help!!! No links and correct awnser gets brainliest✨
Answer:
a = 4
Step-by-step explanation:
8 = 5a > - 12
8 + 12 = 5a > - 12 + 12
20 = 5a
20 ÷ 5 = 5a ÷ 5
a = 4
Check:
8 = 5(4) < 12
8 = 20 < 12
It is correct.
Please help this is my last question no links please
Answer:
i will say the second one
Step-by-step explanation:
Carlie runs two different business. She needs to pay $100 for materials, and pay her associates $12 per hour for her childcare business. And for her lawn care business, she has to pay $275 for materials, and pays her associates $10 per hour.
Write two functions, C(x) and L(x), to represent the amount of money she will need to run her childcare business and her lawn care business. Complete the equations by filling in the blanks.
Childcare business: C(x) =
Lawn care business: L(x) =
Answer: (Answer in photo, explanation below)
Step-by-step explanation:
Carlie is running two different business.
She needs to pay:
- For the childcare business,
100$ for the materials
12$ per hour for each associate for her childcare business, so if we call:
= the number of hours worked by each associate
= the number of associates
The total cost for the childcare business is:
(1)
- For the lawn care business,
275$ for the materials
10$ per hour for each associate for her lawn care business, so if we call:
= the number of hours worked by each associate
= the number of associates
The total cost for the lawn care business is:
(2)
Therefore, the total expenses from both businesses is the sum of (1) and (2):
Tiffany and Dion are having a walking race. The equation and graph show the distance each person is from the starting line,
Tiffany's Distance
d = 2.5t, where d is the distance, in yards that Tiffany is from the starting line after t seconds
PLEASE ANSWER A., B. And C.
Answer:
Step-by-step explanation:
Tiffany's distance is defined by the equation,
d = 2.5t
Here, d = distance of Tiffany from the starting line
t = time
a). d = 2.5t
[tex]\frac{d}{t}=2.5[/tex]
Tiffany's rate = 2.5 yards per second
b). Since, slope of a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,
Slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Therefore, slope of the line passing through two points (0, 10) and (10, 35)
= [tex]\frac{35-10}{10-0}[/tex]
= 2.5 yards per second
Dion's walking rate = 2.5 yards per second
Equation that defines the distance of Dione,
d = mt + b
Here, m = rate of the walking by Dione
b = y-intercept
Hence, equation will be,
d = 2.5t + 10
c). If d = 60 yards
For Tiffany,
d = 2.5t
60 = 2.5t
t = 24 seconds
For Dion,
d = 2.5t + 10
60 = 2.5t + 10
2.5t = 50
t = 20 seconds
Therefore, Dion will take less time and finish first.
5. Some values of linear functions A and B are shown in the table and graph.
Function A
Function B
x y
0 1
11.25
21.5
3
1.75
42
Which of the following describes the y-intercepts of the two functions?
A. The y-intercept of Function A is equal to the y-intercept of Function B.
B. The y-intercept of Function A is 1 unit less than the y-intercept of Function B.
C. The y-intercept of Function A is 1 unit greater than the y-intercept of Function B.
D. The y-intercept of Function A is 2 units greater than the y-intercept of Function B.
The y-intercept of Function A is 1 unit greater than the y-intercept of Function B. Then the correct option is C.
What is a linear equation?A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
Some values of linear functions A and B are shown in the table and graph.
Function A
x y
0 1
1 1.25
2 1.5
3 1.75
4 2
The function A is passing through (0, 1), then the equation of the line will be
1 = 0m + c
c = 1
Then the equation of the function A will be y = mx + 1.
From, the graph, it is clear that the y-intercept of Function A is 1 unit greater than the y-intercept of Function B.
Then the correct option is C.
More about the linear equation link is given below.
https://brainly.com/question/11897796
#SPJ2
5y + 32 = -64 find the value of y
Answer:
[tex]y = 19 \frac{1}{6} [/tex]
Step-by-step explanation:
[tex]5y + 32 = - 64 \\ 5y = - 64 - 32 \\ 5y = 96 \\ \frac{5y}{5} = \frac{96}{5} \\ y = 19 \frac{1}{6} [/tex]
hope this helps you.
Can I have the brainliest please?
Have a nice day !!!!
~Hi1315~
PLEASE HELP ILL GIVE BRAINLIEST
Answer: 10
Step-by-step explanation:
count the dots from number 2 and below
Answer:
10 students said they had 2or less siblings and dont give me brainliest
Step-by-step explanation:
You randomly choose one shirt from the shelves.
Find the probability of the event.
The probability of choosing an orange shirt is
Answer:
umm I don't know you have to tell me more and I can find out what it is
in comparison to 1/3 where would 2/6 be located on a number line
Answer:
The same place as 1/3
Step-by-step explanation:
image for more context
PLZZZ GIVE ME BRAINLIEST
The question is in the attachment.
Please answer
Answer:
106 = arc AC
Step-by-step explanation:
Inscribed Angle = 1/2Intercepted Arc
53 = 1/2 arc AC
Multiply each side by 2
2*53 = arc AC
106 = arc AC
Who could help me with this please and thank you
Answer:
[tex]y=\frac{1}{5} x-2[/tex]
some body have asked this question I have forgotten the name the question is: the circumference of a circle is 36π cm what is the radius of a circle if any body finds it then please answer him or her
The formula for the area of a circle is given by A = πr², where r is the radius of the circle.
Since we know that area A = 36π, we can substitute into the formula for area A and get:
36π= πr²
Now, dividing both sides by π in order to begin isolating r on one side of the equation, we get:
(36π)/π = (πr²)/π
36(π/π) = (π/π)r²
36(1) = (1)r²
36 = r²
r² = 36 (since equality is symmetric, i.e., if a = b, than b =a)
Now, taking the square root of both sides, we have:
√(r²) = ±√(36)
r = √(36) (since a distance cannot be physically negative, then we have to use the positive square root)
r = 6 (since (6)(6) = 36)
CHECK:
A = 36π
36π= π(6²)
36π = π(36)
36π = 36π
Therefore, r = 6 is indeed the radius of the circle with an area of 36π.
Answer:
The radius of the circle is 6.
Explanation:
Take the square root of 36.
HELP PLEASE!! Please don't give me sites or links, those won't work since the site is blocked
Solve for x. The triangles in each pair are similar.
A. 14
B. 3
C. 5
D. 12
Answer:
C
Step-by-step explanation:
In science class we discovered that 7/8 of an apple is water.What fraction of the apple is not water?
Answer:
1/8
Hope this helps
What is the value of x in the diagram?
Answer:
65
Step-by-step explanation:
They are vertical angles; so angles are congruent
*Vertical angles are always congruent*
Congruent means equal or same.
1) Since they are congruent, you form an equation.
145 = 2x + 152) Solve by subtracting 15 from both sides.
145 = 2x + 15- 15 -15----------------------130 = 2x3) Solve by dividing 2 from both sides
130/2 = 2x/24) Simplify
x = 65
CAN SOMEONE PLS HELP MEE!! I BEG YOU PLSS
Answer:
(x + 2)² = 9
x = 1 or - 5
Step-by-step explanation:
x² + 4x - 5 = 0
Solving first using completing the square method
x² + 4x = 5
x² + 4x + (4/2)² = 5 + (4/2)²
x² + 4x + 2² = 5 + 2²
x² + 4x + 4 = 5 + 4
x² + 4x + 4 = 9
Factorise
x² + 2x + 2x + 4 = 9
x(x + 2) + 2(x + 2) = 9
(x + 2)(x + 2) = 9
(x + 2)² = 9
Square root both sides
√(x + 2)² = √9
x + 2 = ± 3
x + 2 = +3
x = 3 - 2
x = 1
x + 2 = -3
x = -3 - 2
x = -5
Hence, x = 1 or - 5