Answer:
Variables
Any lowercase letter may be used as a variable.
Exponents
Exponents are supported on variables using the ^ (caret) symbol. For example, to express x2, enter x^2. Note: exponents must be positive integers, no negatives, decimals, or variables. Exponents may not currently be placed on numbers, brackets, or parentheses.
Parentheses and Brackets
Parentheses ( ) and brackets [ ] may be used to group terms as in a standard equation or expression.
Multiplication, Addition, and Subtraction
For addition and subtraction, use the standard + and - symbols respectively. For multiplication, use the * symbol. A * symbol is not necessary when multiplying a number by a variable. For instance: 2 * x can also be entered as 2x. Similarly, 2 * (x + 5) can also be entered as 2(x + 5); 2x * (5) can be entered as 2x(5). The * is also optional when multiplying with parentheses, example: (x + 1)(x - 1).
Order of Operations
The calculator follows the standard order of operations taught by most algebra books - Parentheses, Exponents, Multiplication and Division, Addition and Subtraction. The only exception is that division is not currently supported; attempts to use the / symbol will result in an error.
Division, Square Root, Radicals, Fractions
The above features are not supported.
Step-by-step explanation:
Write the slope intercept form Through:(1,-5) and(4, -1)
Answer:
Slope intercept form is
[tex]y=\frac{4}{3} x- \frac{19}{3}[/tex]
What is an equation of circle O shown in the graph below?
(1) x2 + 10x + y2 + 4y = -13
(2) x2 - 10x + y - 4y = -13
(3) x + 10x + y + 4y = - 25
(4) r2 - 10x + y- 4y = - 25
Answer:
Equation of circle is [tex]x^2+y^2-12x-4y+24=0[/tex]
None of the options is correct
Step-by-step explanation:
Given: Graph
To find: equation of circle
Solution:
A circle is a locus of all points that are at a fixed distance (radius) from a fixed point (centre).
From the graph,
centre (a, b) = [tex]\left ( 6,2 \right )[/tex]
radius (r) = 4 units
Equation of circle is of form [tex](x-a)^2+(y-b)^2=r^2[/tex]
[tex](x-6)^2+(y-2)^2=4^2\\x^2+36-12x+y^2+4-4y=16\\x^2+y^2-12x-4y+24=0[/tex]
The equation of circle is [tex]x^2+y^2-12x-4y+24=0[/tex]
None of the options is correct
We have given the graph
We have to determine the equation of circle
A circle is a locus of all points that are at a fixed distance (radius) from a fixed point (centre).
From the graph,
centre (a, b) = (6,2)
radius (r) = 4 units
What is the equation of a circle?Equation of circle is of form
[tex](x-a)^2+(y-b)^2=r^2[/tex]
[tex](x-6)^2+(y-2)^2=4^2\\x^2-12x+36+y^2-4y+4=16\\x^2+y^2-12x-4y+24=0[/tex]
Therefore the equation of the circle is [tex]x^2+y^2-12x-4y+24=0[/tex]
To learn more about the circle visit:
https://brainly.com/question/24375372
#SPJ5
Let θ be an angle in quadrant IV such that sinθ=-3/4. Find the exact values of secθ and cotθ.
cos2(θ) + sin2(θ) = 1
sec(θ) = 1/cos(θ)
cot(θ) = cos(x)/sin(θ)
sin(θ) = -3/4
cos2(θ) + sin2(θ) = 1
cos2(θ) = 1 - sin2(θ)
cos2(θ) = 1 - 9/16 = 7/16
cos(θ) = ±√(7/16) = √7/16 (cosine is positive in Q IV)
sec(θ) = 1/cos(θ) = 4/√7
cot(θ) = cos(θ)/sin(θ) = (4/√7)/(-3/4) = -16√7/21
The exact values of secθ = 4/√7 and cotθ = -16√7/21
What is Trigonometric functions?Trigonometric functions defined as the functions which show the relationship between angle and sides of a right-angled triangle.
Given that,
sinθ = -3/4
∵sin²(θ) +cos²(θ) = 1
∴cos²(θ) = 1 - sin²(θ)
cos(θ) = √(1 - sin²(θ))
cos²(θ) = √(1 - 9/16 )
cos(θ) = ±√(7/16) = √7/4 (cosine is positive in quadrant IV )
sec(θ) = 1/cos(θ) = 4/√7
∵cot(θ) = cos(θ)/sin(θ)
∴cot(θ)= (4/√7)/(-3/4)
cot(θ) = -16√7/21
The exact values of secθ = 4/√7 and cotθ = -16√7/21
Learn more about Trigonometric functions
brainly.com/question/6904750
#SPJ2
Help me please I don’t understand
Answer:
14/11
Step-by-step explanation:
A rational number times a rational number is rational
A rational number is written as a/b
14/11 * 1/2 = 7/11
This is rational
Identify the coordinates of the vertex of f(x) = (x – 3)2 + 14, and identify whether it's an absolute minimum or absolute maximum.
Which is correct:
A) (–3, 14), absolute maximum
B) (3, 14), absolute minimum
C) (3, 14), absolute maximum
D) (–3, 14), absolute minimum
Answer:
The answer is option B.
Hope this helps.
Answer:
B
Step-by-step explanation:
In what form is the following linear equation written?
v-3={(x - 1)
O A. Standard
O B. Point-slope
O C. Rise-run
O D. Slope-intercept
Answer:
B
Step-by-step explanation:
Point slope is in the form
(y - y1) = m(x - x1)
where x1 and y1 are the coordinate of any point on the line, and m is the slope
The others do not work
Answer:
B.
Step-by-step explanation:
This is the point-slope form:
y - y1 = m(x - 1) where m = the slope.
Looks like you have a typo in your equation.
Level 1
R.18 Identify equivalent linear expressions II KAR
Select the expressions that are equivalent to -7(75 + 1).
75-7
7(-75 + 1)
-7(-5 + 8 + 1)
-7s - 49
1
0
1
Which equation matches the number line?
S
2+ (4)
1
1
3
1
1
Answer:
The ans from the bottom left
Which equation is equivalent to the following?
2x^2 – 12x + 2y^2 + 20y – 28 = 0
1) 2(x-3)^2+2(y+5)^2=44
2) 2(x-3)^2+2(y+5)^2=60
3) 2(x-3)^2+2(y+5)^2=62
4) 2(x-3)^2+2(y+5)^2=96
Answer:
4) 2(x - 3)^2 + 2(y + 5)^2 = 96.
Step-by-step explanation:
2x^2 – 12x + 2y^2 + 20y – 28 = 0
2(x^2 – 6) + 2(y^2 + 10y) = 28
2 ( (x - 3)^2 - 9)) + 2((y + 5)^2 - 25) = 28
2(x - 3)^2 - 18 + 2(y + 5)^2 - 50 = 28
2(x - 3)^2 + 2(y + 5)^2 = 28 + 18 + 50
2(x - 3)^2 + 2(y + 5)^2 = 96
Answer:
[tex]4) 2(x-3)^2+2(y+5)^2=96[/tex]
Step-by-step explanation:
[tex]2x^2 -12x +2y^2 + 20y - 28 = 0[/tex]
It basically represents a circle.
Equation of circle
[tex]\left(x-a\right)^2+\left(y-b\right)^2=r^2\:[/tex]
[tex]2x^2-12x+2y^2+20y=28[/tex]
[tex]$\frac{1}{2} (2x^2-12x+2y^2+20y)=28 \cdot \frac{1}{2} $[/tex]
[tex]x^2-6x+y^2+10y=14[/tex]
Organize the variables
[tex]\left(x^2-6x\right)+\left(y^2+10y\right)=14[/tex]
Now we have to complete the square for both groups:
[tex]\left(x^2-6x+9\right)+\left(y^2+10y+25\right)=14+9+25[/tex]
[tex]\left(x-3\right)^2+\left(y+5\right)^2=14+9+25[/tex]
[tex]\left(x-3\right)^2+\left(y+5\right)^2=48[/tex]
Now, I would proceed with:
[tex]\sqrt{48} =\sqrt{2 \cdot 2 \cdot 2 \cdot 2 \cdot 3} =4\sqrt{3}[/tex]
[tex]\left(x-3\right)^2+\left(y+5\right)^2=(4\sqrt{3} )^2[/tex]
We got the center and the circle radius
[tex]\left(3,\:-5\right)\\r=4\sqrt{3}[/tex]
But this is not what you want:
So, just multiply both sides by 2 and you'll get:
[tex]2\left(x-3\right)^2+2\left(y+5\right)^2=96[/tex]
Consumer Math work. Please help
Mr. Cruz earns $11.25 an hour at his part-time job. Last week he worked 30 hours. What was his gross pay for the week? Another way of asking this question is; how much is she paid before taxes and deductions are subtracted? *
Answer:
$337.5
Step-by-step explanation:
He would get $337.5 because if he gets $11.25 every hour you just multiply $11.25 by 30 hours.
PLEASE HELP WILL GIVE BRAINLIEST
Ralph can lay down a floor tile in 5 seconds. Bob can lay down a floor tile in 4 seconds. If both boys work together, how many seconds would it take them to install 450 floor tiles?
Answer:
1000 seconds
Step-by-step explanation:
You can start by finding the unit rate for each of them to lay down a tile. That is, how many tiles they can lay down in one second. Ralph can lay one down in 1/5 of a second, while Bob takes 1/4. 1/5+1/4=4/20+5/20=9/20 of a tile per second. Dividing 450 by 9/20, you get 1000 seconds. Hope this helps!
What is the length of L
Answer:
Assuming the height is still 1 your answer would be 700
Step-by-step explanation:
7. Piper Rothermel's credit card has a $926.42 balance. She makes a $223.50 payment. What is the new balance?
A $1,149.92
B $702.92
C$685.90
D$782.43
I NEED THIS ANSWER RN PLS
Answer:
The answer is 702.92 or answer B
Step-by-step explanation:
Use subtraction.
928.42 - 223.50 = 702.92
Hello ! ^^
• What's the new balance ?
→ b. $702.92
bc : 926.42 - 223.50 = 702.92
✘ i hope i helped you ! ✘
five less than 2 times a number is equal to the sum of the number and 3. What is the number?
Answer:
Value of Number = 8
Step-by-step explanation:
Consider the equation below;
[tex]If x - " A Number " -\\( 2 * x ) - 5 = x + 3,\\[/tex]
Now using this equation let us solve for x;
[tex]( 2 * x ) - 5 = x + 3 - Take ( 2 * x ) - 2x,\\2x - 5 = x + 3 - Add 5 on Either Side,\\2x = x + 8 - Subtract x From Either Side,\\\\x = 8, ( Solution )\\\\Conclusion ; x = 8[/tex]
Knowing this, we can say;
[tex]Value of Number = 8,\\if x - Value of Number ( Given ),\\\\Solution ; Value of Number = 8[/tex]
The value of unknown number x will be 8.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
We have been given a statement as;
"five less than 2 times a number is equal to the sum of the number and 3"
Let the unknown number be x.
So, from the given statement,
2x- 5 = x + 3
Subtract x on both sides;
2x- 5 = x + 3
2x- 5 -x = x + 3 - x
x - 5 = 3
Add 5 on both sides;
x - 5 = 3
x = 8
Therefore, the value of unknown number x will be 8.
Learn more about equations here;
https://brainly.com/question/10413253
#SPJ2
What's the common difference of the following arithmetic sequence?
11, 17, 23, 29, 35, 41
A) 6
B) 5
C) 7
D) 8
Answer:
Step-by-step explanation:
6
Take the higher number and subtract the next lower value. It will tell you the difference.
17-11=6
Answer:
A) 6
Step-by-step explanation:
11+6=1717+6=2323+6=2929+6=3535+6=41Place the indicated product in the proper location on the grid. (b2 + 8 )(b2 - 8)
Step-by-step explanation:
(b2 + 8 )(b2 - 8)(b2 + 8 )(b2 - 8)=b4 - 8b2 + 8b2 - 64(b2 + 8 )(b2 - 8)=b4 - 8b2 + 8b2 - 64=b4 - 64A beverage manufacturer performs a taste-test and discovers that people like
their fizzy beverages best when the radius of the bubbles is about 0.7 mm.
According to the formula below, what would be the volume of one of these
bubbles?
Answer:
The Answer is: B= about 1.44mm^3
Step-by-step explanation:
hope I could help you out :)
The volume of bubble is 1.44 cubic mm.
What are Arithmetic operations?Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.
The operator that perform arithmetic operation are called arithmetic operators .
Operators which let do basic mathematical calculation
+ Addition operation : Adds values on either side of the operator.
For example 4 + 2 = 6
- Subtraction operation : Subtracts right hand operand from left hand operand.
for example 4 -2 = 2
* Multiplication operation : Multiplies values on either side of the operator
For example 4*2 = 8
/ Division operation : Divides left hand operand by right hand operand
Given data as :
Radius of the Bubble (r) = 0.7 mm
Volume of the bubble is given by the formula
[tex]r =\sqrt[3]{\dfrac{3v}{4\pi} }[/tex]
Taking cube on both sides
r³ = 3v/4π
Rearrange the equation,
v = 4πr³/3
Substitute the value of r in the above equation,
v = 4π(0.7)³/3
Substitute the value of π = 3.14
v = 4(3.14)(0.343)/3
v = 4.3/3
v = 1.44
Hence, the volume of bubble is 1.44 cubic mm.
Learn more about Arithmetic operations here:
brainly.com/question/25834626
#SPJ5
HELP QUICK
An architect designs a rectangular flower garden such that the width is exactly two-thirds of the length. If 280 feet of antique picket fencing are to be used to enclose the garden, find the dimensions of the garden. The length of the garden is ? feet.
Answer:
84ft
Step-by-step explanation:
w = 2/3(L)
if 280 feet of fencing can enclose the garden,therefore the perimeter is 280 feet
perimeter = 2L + 2W
but W=2/3(L)
therefore, perimeter = 2L + 2(2/3L)
P= 2L + 4/3(L)
P= 10/3(L)
but P= 280
therefore 280= 10/3(L)
L = (3×280)÷10
L= 84 feet
Can someone please help me?
The answer Is not A
Answer:
B. 6, 8, 10 2/3, 14 2/9, 18 26/27
Step-by-step explanation:
The recursive relation tells you the first term is 6, eliminating choice A immediately.
It also tells you each term is 4/3 the previous term, so the sequence cannot be a sequence of integers*, eliminating choices C and D.
If you do the math, you find the terms of Choice B are correct:
6×4/3 = 88×4/3 = 10 2/3(10 2/3)×4/3 = 14 2/9..._____
* Unless you start with a very large power of 3, repeatedly multiplying by 4/3 will eventually end with powers of 3 in the denominator and some multiple of powers of 2 in the numerator. Such a ratio cannot be an integer.
What is one way to compare fractions with unlike denominators? include an example to support your reasoning
Answer:
Compare two fractions with different numerators and different denominators (e.g., by creating common denominators or numerators, or by comparing to a benchmark fraction such as 1/2). Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with symbols >, =, or <, and justify the conclusions (e.g., by using a visual fraction model).
Step-by-step explanation:
hope this helps
3 over 2 divided by 8 over 3
Answer:
Step-by-step explanation:
3/2/8/3
=9/16
Answer:
9/16
Step-by-step explanation:
3/2 ÷ 8/3
Here, we are trying to divide fractions.
When dividing fractions, you can flip the second fraction, and multiply the fractions together.
Hence, our new expression would be:
3/2*3/8
We can multiply the numerators together and the denominators together.
3*3/2*8
9/16
Which ordered pair is generated from the equation shown below?
y = 3x + 2
O A) (3, 11)
OB) (3,9)
OC) (5, 15)
OD (2,4)
Answer:
A
Step-by-step explanation:
let's try A. 3(3)+2=9+2=11
11=11
So A is right
Help, What is the answer?
Answer:
probably jay z albulm 4:44
Step-by-step explanation:
Mrs. Williams wrote the following on the board during a math class.
Rule: Add 5
4,9, 14, ...
Which value belongs in this pattern?
A
27
B 45
С
D 142
need help please
Answer:
142
Step-by-step explanation:
Keep adding 5
The dimensions of triangle A are twice the dimensions of triangle B. The area of triangle A is 162 cm2.
What is the area of triangle B?
Answer:
40.5 cm²
Step-by-step explanation:
Given the ratio of sides of 2 figures = a : b
then the ratio of areas = a² : b²
Here the ratio of Δ A : Δ B = 2 : 1, thus
ratio of areas = 2² : 1² = 4 : 1
That is the area of Δ A is 4 times area of Δ B, so
area of Δ B = 162 ÷ 4 = 40.5 cm²
Answer:
81
Step-by-step explanation:
162/2=81
What is 8478 to the nearest inch?
Answer: I’m guessing it would be 8478 because that doesn’t make sense
Step-by-step explanation:
Answer:
It is 8478
Step-by-step explanation:
What is the length of the hypotenuse of the triangles
Square of 94cm
Square of 161cm
17cm
23cm
Answer:
To find the Hypotenuse the Pythagoras theorem is used
h² = a² + b²
h = hypotenuse
a = 15cm
b = 8cm
h = ?
h² = 15² + 8²
h = √225 + 64
h = √289
h = 17cm
The Hypotenuse is 17cm
Hope this helps.
Find the value of d, the length of the diagonal across the square. If necessary,
round your answer to 2 decimal places.
Answer:
Step-by-step explanation:
Use Pythagorean theorem,
d² = 4² + 4²
= 16 + 16
d² = 32
d = √32
d = 5.67 units
A baker bought 7,500 grams of flour for $19.20. How much did each kilogram of flour cost
Answer:
7,5 kg = 19,20.
Step-by-step explanation:
19,20/7,5
= 2,56 $
(2,56 * 7,5 =19,20)
