We can see that matching each formula on the left side to an equivalent formula on the right side, we have:
A = BC + D ------ B = A - D/C
A = B + CD ------ B = A - CD
A = BD - C ------- B = A + C/D
A = CD - B ------- B = CD - A
What is formula?A formula is a mathematical expression that represents a set of instructions for solving a specific problem or calculating a desired value. It often uses symbols and variables to represent values, and can include operations such as addition, subtraction, multiplication, and division.
Formulas can be used in a variety of fields, including physics, chemistry, finance, and engineering.
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Based on the graph, how many distinct real number
solutions does the equation x³ + 6x² + 12x +8=0
have?
O no real number solutions
O one real number solution
O two real number solutions
O three real number solutions
Because the graph only intercepts the x-axis only once, the equation has only one solution. The correct option is the second one.
How many solutions the equation has?Here we want to see, based on a graph, how many solutions does the cubic equation:
x³ + 6x² + 12x +8 = 0
The graph of the function:
g(x) = x³ + 6x² + 12x +8
Can be seen below, the number of real solutions that the equation:
x³ + 6x² + 12x +8 = 0
has, will depend on how many times the graph intercepts the x-axis.
We can see that there is only one intercept, so there is one real solution.
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Ty bought a new computer for $499. This brand depreciates at a rate of 12% of the original price per year. The value y of Ty's computer, x years after he purchased it, is found using an equation in the form y = mx + b. What is the approximate value of m?
Answer:
the approximate value of m is -0.12, indicating that the value of Ty's computer decreases by 0.12 (or 12%) each year.
Step-by-step explanation:
o express this depreciation rate as a slope in the equation y = mx + b, we need to determine how much the value changes (the "rise") for each year (the "run").
Since the value decreases by 12% per year, the slope (m) would be -12%. However, we need to express the slope as a decimal, so we divide -12% by 100 to convert it to a decimal:
m = -12% / 100 = -0.12
627 x 26
how do you solve this problem using standard algorithm
627 x 26 equals 16,302 when solved using the standard algorithm.
The steps below can be used to solve the multiplication issue 627 x 26 using the conventional algorithm:
627 and 26 should be written one above the other, with the larger number appearing above and the smaller number beneath.
Start by adding each digit of the top number to the ones digit of the bottom number (six). Write the answers below the line after multiplying 6 by 7 and then by 2.
1254 -- a 6 x 7 partial product
1254 -- a half 6 x 2 product
Repeat the process by moving the bottom number one position to the left after that. Multiply 2 by 7 and then by 2, and then write the results one space to the left of the line below the line.
1254 x 627
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how do i solve for x
Answer:
Step-by-step explanation:
2x + 10 + 4x + 20 = 180
6x + 30 = 180
6x = 150
x = 25
2(25) + 10 = 50 + 10 = 60
4(25) + 20 = 100 + 20 = 120
3x^2 + 12x - 96 help please
Answer:
fully factored form = 3(x-4)(x+8)
Step-by-step explanation:
first you factor 3 out
3(x^2+4x-32)
then factor it
3(x-4)(x+8)
Answer:
3(x-4)(x+8) This is the answer :)
Step-by-step explanation:
3x^2+12x - 96
3(x^2+4x-32)
3(x^2+4x--32)
3(x^2+8x-4x-32)
3(x^2+8x-4x-32)
3(x(x+8)-4(x+8))
3(x(x+8)-4(x+8))
3(x-4)(x+8)
3(x=4)(x+8)
9. Find the volume of a cone with a radius of 10 mm and a height of 6 mm.
O 628 mm³
O 600 mm³
O 1,884 mm 3
O 1,254 mm
Answer:
Step-by-step explanation:
The formula for the volume of a cone is:
V = (1/3)πr^2h
where V is the volume of the cone, r is the radius of the base, and h is the height of the cone.
Substituting the given values, we have:
V = (1/3)π(10 mm)^2(6 mm)
V = (1/3)π(100 mm^2)(6 mm)
V = (1/3)π(600 mm^3)
V = 200π mm^3
Using a calculator to approximate π to 3.14, we get:
V ≈ 628.32 mm^3
Therefore, the answer is O 628 mm³.
Which of the following is true of protecting classified data?
True statement for Protecting classified data is classified material must be appropriately marked.
Classified information being transmitted from one commission office to another shall be protected with a classified document cover sheet and hand delivered by an appropriately cleared person to another appropriately cleared person.
Classified information is material that a government body deems to be sensitive information that must be protected. Access is restricted by law or regulation to particular groups of people with the necessary security clearance and need to know, and mishandling of the material can incur criminal penalties.
Data classification is broadly defined as the process of organizing data by relevant categories so that it may be used and protected more efficiently. Data classification involves tagging data to make it easily searchable and trackable.
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If you know the answer I will give a hundred brainist
Answer:
18.09
Step-by-step explanation:2.4x2.4, then x3.14
Answer:
answers below
Step-by-step explanation:
If you are trying to find the area the answers are:
Earth= 289.52918
Saturn=6,532.5021
The formula for area for a sphere is:
4 x pie x r2
If you are trying to find the volume the answers are:
Earth=57.90584
Saturn=46,647.01596
The formula for volume for a sphere is:
4/3 x pie x r3
Also the radius (r) is half of the diameter, so you divide the diameter by 2.
Simplify the expression:
6(20 + 1)
=
Answer: 126
Step-by-step explanation: this is the distributive property so you multiply the number outside the parentheses times the numbers inside the parentheses
Find The Difference.
1)5-15=
2)-13-7=
3)-19-7=
4)36-(-12)=
5)-29-(-11)=
6)-7-(-5)
Answer:
-10
-20
-26
48
40
-2
Step-by-step explanation:
I used a calculator to make sure
PLZZZ WILLL GIVEEEE BRAINLEASTTTT The record low for Florida is 2 degrees below zero Fahrenheit and was set on February 13, 1899. The record high is 109 degrees Fahrenheit and was set on June 29, 1931. Which pair of numbers shows these temperatures, in degrees Fahrenheit, written as integers?
2 and 109
2 and -109
-2 and 109
-2 and -109
PLS help fast this is the last day for my test solve the system of linear equations. check your solution. 3y+4y=-10 y=-3/4x - 5/2
This equation has infinitely many solutions.
What is a linear equation?
A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."
Here, we have
Given: 3x+4y = -10...(1),
y = -3/4x - 5/2....(2)
We solve this linear equation and we get
We multiply equation (2) by 4 and we get
4y + 3x = -5(2)
4y + 3x = -10
Hence, this equation has infinitely many solutions.
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A
E
3. Complete the table using the diagram and absolute value to determine the lengths of the line segments.
Line
Segment
AB
D
B
(-3,12)
U
x
BC
CD
DE
EF
도
FA
3+12
Point
Point
Distance
Proof
The distance of the given coordinates (See attached image) are:
AB) 10
CD) 7
EF) 6
GH) 15
JK) 12
What is the proof?
To solve the distance between the above coordinates, one must use the following formula:
d = √[(x2 - x1)² + (y2 - y1)²]
AB)
Distance (d) = √[(7 - -3)² + (5 - 5)²]
= √(10)² + (0)²
= √100
Distance = 10
CD) Distance (d) = √[(-6 - 1)² + (-3 - -3)²]
= √(-7)² + (0)²
= √49
Distance = 7
EF) Distance (d) = √[(2-2)² + (-3-(-9))²]
= 6
GH)
Distance (d) = √[(6-6)² + (16-1))²]
= 15
JK)
Distance (d) = √[(-3-(-3))² + (12-0))²]
= 12
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Full Question:
Although part of your question is missing, you might be referring to this full question: See attached image.
The vertices of a polygon are L(2,4) M (2,7) N (8,7) O (8,4) P(6 0), and Q(4,0)Graph the polygon. Then
find its area
According to the information, we can infer that the area of this polygon is 34 units².
How to find the area of the figure?To find the area of the figure we must graph it and divide it into different segments. Then we find the area of all the segments and add them to get the total area.
Rectangle 1
6 * 3 = 18
Rectangle 2
2*4=8
Triangle 1
2 * 4 / 2 = 4
Triangle 2
2 * 4 / 2 = 4
Total Area
18 + 8 + 4 + 4 = 34
Based on the above, we can infer that the total area of the polygon is 34 ² units.
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Answer this question soon
Answer:
CA - 144
AD - 98
ABD - 49
BC - 134
C - unsure
Step-by-step explanation:
Which is more -1.5 or -3/2
Answer:
there are the same
Step-by-step explanation:
-3/2 equals -1.5
so -1.5 equals -3/2
A car shop has 12 mechanics, of whom 8 can work on transmissions and 7 can work on brakes. a) What is the minimum number who can do both? b) What is the maximum number who can do both? c) What is the minimum number who can do neither? d) What is the maximum number who can do neither?
Answer:both a and b are correct
Step-by-step explanation:
What is -6 - t/4 = -1
Answer: t=-20
Step-by-step explanation:
Steve drove 9 1/2 hours at 66 miles per hour. What distance, in miles, did he travel?
Answer:
627 miles
Step-by-step explanation:
66×9.5=627 miles
please help me with these problems. This is not multiple choice. Part 3
9514 1404 393
Answer:
5. 8 ft
6. y = 47x +110; 533 students in 2019
Step-by-step explanation:
4. Answered for you previously. See https://brainly.com/question/21087377.
__
5.
Given:
triangular garden with base 7 ft and area 28 ft^2
Find:
height of the triangle
Solution:
The formula for the area of a triangle is ...
A = 1/2bh . . . . . where A is the area, b is the base length, and h is the height
Multiplying by 2/b, we can get a formula for the height. Using this formula, we can solve the problem.
h = 2A/b
We can let h represent the height, and fill in the given data.
h = 2(28 ft^2)/(7 ft)
h = 8 ft
The height of the triangle is 8 feet.
__
6.
Given:
(0, 110), (5, 345) . . . . . where the points represent ...
(years after 2010, students using the hotline)
Find:
a linear model for the data
the number of students predicted for 2019
Solution:
The 2-point form of the equation for a line is ...
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
where the points are (x1, y1) and (x2, y2). Using the given points, our linear model is ...
y = (345 -110)/(5 -0)(x -0) +110
y = 47x +110 . . . . the linear model, where ...
y is the number of students using the hotline
x is the number of years after 2010
__
In 2019, x = 9, so y = ...
y = 47(9) +110 = 423 +110 = 533
The number of students predicted to use the hotline in 2019 is 533.
Answer:
Q4. 2.5 milesQ5. 8 ftQ6. 533 studentsStep-by-step explanation:
Q4
Tom's speed upstream would be:
8 - 3 = 5 mph as he is moving against the currentThe distance traveled in 30 min:
30 min = 1/2 h5 mph*1/2 h = 2.5 milesQ5
Triangle area formula:
A = 1/2bhA and b given, substitute values to find the value of h:
28 = 1/2*7hh = 28*2/7h = 8 ftQ6
Change in number of students over 5 years:
345 - 110 = 235Rate of change per year:
235/5 = 47Predicted number of students in 2019
345 + 47*(2019 - 2015) = 345 + 47*4 = 533 studentsWhich of the following is equal to 20x + 8y - 80?
A. 3x + y - 10
B. 5x+2y-20
c. 4(5x + 2y - 20)
D. 4(5x + 2y – 40)
E. 4(5x + 8y - 20)
what is the arc of a semicircle with a diameter of 8?
Step-by-step explanation:
88/7 units
If these two shapes are
similar, find X
Answer:
4
Step-by-step explanation:
If the shapes are similar we can use the side length proportion to find the value of x:
7/91 = x/52 cross multiply expressions
91x = 364 divide both sides by 91
x = 4
PLEASE HELP I NEED TO DO THIS RIGHT
Answer:
C maybe i dunno but gl
Answer:
A
Step-by-step explanation:
Given a function f(x) where the first derivative with respect to x evaluated in two equals
f'(2)=1/2
The slope of the tangent line is
mt=1/2
Therefore, the slope of the normal line is
mn=-1/(1/2)
mn=-2
Evaluating the given point in the general form
y-y1=m(x-x1)
y-(-1)=-2(x-2)
y+1=-2x+4
y=-2x+3
-3y-4x= -11
3y-5x= -61
x=
y=
In response to the query, we can state that As a result, the following is equation the system of equations' solution: x = 8 \sy = -7
What is equation?An equation is a mathematical statement that proves the equality of two expressions connected by an equal sign '='. For instance, 2x – 5 = 13. Expressions include 2x-5 and 13. '=' is the character that links the two expressions. A mathematical formula that has two algebraic expressions on either side of an equal sign (=) is known as an equation. It depicts the equivalency relationship between the left and right formulas. L.H.S. = R.H.S. (left side = right side) in any formula.
We can use the substitution or elimination methods to find the values of x and y in this system of equations. We shall apply the elimination approach in this case:
-3y - 4x = -11 (equation 1) (equation 1)
3y - 5x = -61 (equation 2) (equation 2)
By combining equations 1 and 2, we may remove the y variable:
-3y -4x + 3y - 5x = -11 - 61
Streamlining the left side:
-9x = -72
-9 divided by both sides:
x = 8
Knowing that x = 8 allows us to solve for y by introducing this number into either equation. Consider using equation 1:
-3y - 4(8) = -11
Simplifying:
-3y - 32 = -11
32 more on both sides:
-3y = 21
By -3, divide both sides:
y = -7
As a result, the following is the system of equations' solution:
x = 8 \sy = -7
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12. 20 x 4 x 20 = 13. 9 X
Answer: 12340
Step-by-step explanation:
Di jsjsjs
Siendo nxnsnen
Ncnsnsns
Need help with this:(
Answer:
x=0
y=-3
Step-by-step explanation:
morgan is 54inches tall and helps raise the school flag each morning. she casts a 36in shadow while the flagpole she is standing next to casts a shadow the is 90 in long how tall is the flagpole?
Answer:
Step-by-step explanation:
The girl is 54 inches tall.
Her Shadow is 36 inches
The flagpole has a shadow of 90 in long
So set up a proportion
Whose Shadow Shadow Length Actual height
Girl 36 54
Flagpole 90 x
36/90 = 54 / x Cross Mulltiply
36x =90 * 54
36x = 4860 Divide by 36
x = 4860/36
x = 135 inches.
Comment
Do you need the height in feet?
That would be 135/12 = 11.25 feet or 11 feet 3 inches.
-4 + -2 =
Hurry it’s a test
hope it helps you ♡♡
which equation is the inverse of 2(x - 2)\(^{2}\) = 8(7 + y)
The inverse equation to the one given in this exercise is:
\(y = 2(\sqrt{7 + x} + 1)\)
How to find the inverse of an equation or a function?To find the inverse, we have to exchange x and y and then isolate y.
In this problem, the equation is:
2(x - 2)² = 8(7 + y).
Exchanging x and y:
2(y - 2)² = 8(7 + x)
Now we work to isolate y:
(y - 2)² = 4(7 + x).
To isolate y, we apply the square root to both sides, hence:
\(\sqrt{(y - 2)^2} = \sqrt{4(7 + x)}\)
\(y - 2 = 2\sqrt{7 + x}\)
\(y = 2\sqrt{7 + x} + 2\)
\(y = 2(\sqrt{7 + x} + 1)\)
Hence the inverse equation to the one given is:
\(y = 2(\sqrt{7 + x} + 1)\)
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