Answer:
i. Rotate
ii. Translates
Step-by-step explanation:
Rigid transformations are the methods required in which the orientation, dimension, position, or size of a given figure can be transformed. Some types of rigid transformation are: rotation, translation, reflection, etc.
From the given question, the two rigid transformation procedure required for Madison to prove that ΔABD ≅ ΔCDB by rigid transformations are: rotation and translation.
Madison decides to rotate ΔABD [tex]180^{o}[/tex] about point B to create triangle A'B'D'. Next she translates A'B'D' along diagonal BD until point B' from ΔA'B'D' lines up with point d from ΔCDB.
Therefore,
ΔABD ≅ ΔCDB
What is 4x81 i need the answer
Answer:
324
Step-by-step explanation:
Answer:
The answer is 324
Step-by-step explanation:
hope this helps
What is the constant of proportionality, y/x?
Answer:
k
Step-by-step explanation:
The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other. Once you know the constant of proportionality you can find an equation representing the directly proportional relationship between x and y, namely y=kx, with your specific k.
Which expression is equivalent to (x23)32
Answer: 32x exponent 23
Step-by-step explanation:
The expression (x²³)³² is equivalent to the expression x⁷³⁶. Then the correct option is D.
What is an equivalent expression?The equivalent is the expression that is in different forms but is equal to the same value.
Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.
The expression is given below.
⇒ (x²³)³²
We know that if [tex]\rm \left ( n ^{a} \rigth )^{b} = n^{a \times b}[/tex], then we have
[tex]\rm \rightarrow \left (x^{23} \right ) ^{32}\\\\\rightarrow \left (x \right ) ^{23 \times 32}[/tex]
Simplify the expression, then the expression will be given as,
⇒ x⁷³⁶
The expression (x²³)³² is equivalent to the expression x⁷³⁶. Then the correct option is D.
The complete question is given below.
Which expression is equivalent to (x²³)³²?
A. x⁵⁵
B. x⁷⁶⁸
C. x⁶⁶
D. x⁷³⁶
More about the equivalent link is given below.
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identify the y intercept of g(x)=5x
Answer:
The slope-intercept form is y=mx+b y = m x + b , where m is the slope and b is the y-intercept. Using the slope-intercept form, the y-intercept is 0 .
Step-by-step explanation:
hope this helps
4. (02.06 MC)
A cylinder and a cone have the same diameter: 8 inches. The height of the cylinder is 3 inches. The height of the cone is 18 inches.
Usen 3.14
What is the relationship between the volume of this cylinder and this cone? Explain your answer by determining the volume of each and comparing them. Show all your work. (10 points)
Answer: See explanation
Step-by-step explanation:
Diameter = 8 inches
Radius = Diameter/2 = 8/2 = 4 inches
Height of the cylinder = 3 inches
Height of the cone = 18 inches
Volume of a cylinder = π r² h
= 3.14 × 4² × 3
= 3.14 × 16 × 3
= 150.72
Volume of a cone = 1/3 π r² h
= 1/3 × 3.14 × 4² × 18
= 1/3 × 3.14 × 16 × 18
= 301.44
From the answer gotten, we can deduce that the volume of the cone is twice the volume of the cylinder.
On a map, the scale is 1 inch = 60 miles. The distance on the map between Indianapolis,
Indiana, and Pittsburgh, Pennsylvania, is 6 inches. What is the actual distance between the two cities?
Answer:
360 miles
Step-by-step explanation:
1 inch = 60 miles
6 inches = x
- to get this simply multiply 60*6
What’s bigger 1.30 or 1.3
they are both the same
Find the solution to the equation.
30=−5n+16+3n
Enter only a number. Do NOT enter an equation. If the number is not an integer, enter it as a fraction in simplest form. If there is no solution, “no solution” should be entered.
Answer:
-7
Step-by-step explanation:
30-16= -5n +3n
14 = -2n
multiplying both by half,u have -
7 = -n
multiply both by -1
7 = n
You are analyzing survey results regarding whether or not people like low-cal buter or regular butter. 47 said they preferred low-cal and 59 said they preferred regular. What is the ratio of those who prefer the low-cal to those who prefer the regular?
Answer:
47:59
Step-by-step explanation:
Which statements regarding the diagram Triangle EBC are true? Select three options
•Angle BEC is an exterior angle
•Angle DEC is an exterior angle
•Angle ABE and EBC are supplementary angles
•Angle BCF and DEC are supplementary angles
•Angle BEC us a remote interior angle to exterior angle BCF
Triangle EBC have interior angles and exterior angles. The three appropriate options to the given question are:
B. Angle DEC is an exterior angle
C. Angle ABE and EBC are supplementary angles
E. Angle BEC is a remote interior angle to exterior angle BCF
An exterior angle is one that lies outside a given figure. Thus, it is not an interior angle of the figure. While an interior angle is an angle within the boundaries of the figure.
Supplementary angles are two or more angles whose measures add up to the value of angle on a straight line (i.e [tex]180^{o}[/tex]).
Thus considering the given triangle EBC, the appropriate options to the question are:
B. Angle DEC is an exterior angle
C. Angle ABE and EBC are supplementary angles
E. Angle BEC is a remote interior angle to exterior angle BCF
These three options best describes the relationships among the angles of the triangle.
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Answer:
bce
Step-by-step explanation:
took the test
What is 25% of $8.00?
Answer:
25% of $8.00 is $2.00
Step-by-step explanation:
25% is basically 1/4 of something. So, if you divide $8.00 into four parts, you would get $2.00 for each part. This is why 25% of $8.00 is $2.00.
Answer:
$2
Step-by-step explanation:
Think you have 25/100 x of 8
100/25 is the same as 8/x:
X=8/100 divided by 25=$2
I have a few minutes left please help
9. Which of the following is the correct point-slope which of the following is the correct point-slopes equation of the linear relationship
with m = -5 and point (7,9)?
y - 7 = 9(x - 5)
y - 7 = 5(x - 9)
y - 5 = 7(x - 9)
y - 9= -5(x - 7)
Answer:
y - 7 = 9(x - 5)
Step-by-step explanation:
Answer:
The answer is y - 9= -5(x - 7)
Step-by-step explanation:
hope this helps
y= mx+b
9= -5(7)+b
9 = -35+b
+35 +35
44=b
So the point slope is y=-5x+44
y - 9= -5(x - 7)
y-9=-5x+35
+9 +9
y=-5x+44
Help? I'll mark brainliest
Answer:
x=6 y=3
Step-by-step explanation:
x=y+3 replace that in the other problem x+3=3y becomes y+3+3= 3y. solve and get y=3. replace in x=y+3 to get x=6
What is the equation of the line in standard form?
x−6y=−9
3x−y=−6
x + 6y = 9
3x + y = 6
Here is my answer for you:
Graph each equation, until you find the one that lines up.
Below is a picture of all the equations on a graph.
Your answer is already in standard form, x-6y=-9.
Answer:
x−6y=−9
Step-by-step explanation:
Identify the name for the 12 and 4 in the expression. 12x + 4y - 5
A.variables
B.terms
C.coefficients
D.constants
What method can be used to prove the triangles below are congruent
Answer: AAS
Step-by-step explanation:
The congruent sides and angles form AAS. the triangles are congruent by the AAS theorem.
By AAS property Triangles are congruent, option B is correct.
What is a triangle?A triangle is a geometric figure with three edges, three angles and three vertices. It is a basic figure in geometry.
The sum of the angles of a triangle is always 180°
In the given triangles ABC and CDE,
∠A=∠E and side AB = DE
By vertically opposite angle property,
∠ACB = ∠DCE
Therefore, in triangles ABC and CDE, two angles are equal, and one side is equal.
By Angle-Angle-Side property, both the triangles are congruent.
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A map of Rockbridge County has a scale factor of
2.5 in = 5 mi
if the actual distance from Fairfield to Lexington is 12 miles what is the distance on the map?
(plzzz show work I'm doing a test rn thats half my grade plzzzzzz)
Answer: 6 inch
Step-by-step explanation:
From the question, we are informed that a map of Rockbridge County has a scale factor of 2.5 in = 5 miles.
When the actual distance from Fairfield to Lexington is 12 miles, the distance on the map will be:
= 12/5 × 2.5
= 2.4 × 2.5
= 6 inch
Find the x-intercept and
the y-intercept from the
following linear equation:
8x + 16y = 32
x-intercept ([?], [ D)
y-intercept (( ], [ 1)
Which graph decreases, crosses the y-axis at (0, -7), and then increases?
Graph A
Graph B
Graph
5
A. Graph A
B. Graph C
C. Graph B
Answer:
Graph C
Step-by-step explanation:
Can someone help me with this please
Answer:
y'' = 18x(x³ + 8)⁴(17x³ + 16)
General Formulas and Concepts:
Calculus
Derivative Notation dy/dx
Derivative of a constant is 0.
Basic Power Rule:
f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹Chain Rule: [tex]\frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]
Product Rule: [tex]\frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)[/tex]
Step-by-step explanation:
Step 1: Define
y = (x³ + 8)⁶
Step 2: Find 1st Derivative (dy/dx)
Chain Rule [Basic Power]: y' = 6(x³ + 8)⁶⁻¹ · (3x³⁻¹ + 0)Simplify: y' = 6(x³ + 8)⁵ · 3x²Multiply: y' = 18x²(x³ + 8)⁵Step 3: Find 2nd Derivative (d²y/dx²)
Product Rule [Chain/Basic Power]: y'' = 2 · 18x²⁻¹ · (x³ + 8)⁵ + 18x² · 5(x³ + 8)⁵⁻¹ · (3x³⁻¹ + 0)Simplify: y'' = 36x(x³ + 8)⁵ + 90x²(x³ + 8)⁴ · 3x²Multiply: y'' = 36x(x³ + 8)⁵ + 270x⁴(x³ + 8)⁴Factor: y'' = 6x(x³ + 8)⁴[6(x³ + 8) + 45x³]Distribute: y'' = 6x(x³ + 8)⁴[6x³ + 48 + 45x³]Combine like terms: y'' = 6x(x³ + 8)⁴[51x³ + 48]Factor: y'' = 6x(x³ + 8)⁴ · 3(17x³ + 16)Multiply: y'' = 18x(x³ + 8)⁴(17x³ + 16)Answer:
[tex]\frac{d^{2}y}{dx^{2}} = 180x.(x^{3} +8)^{4}[/tex]
Step-by-step explanation:
This question requires use of the chain rule:
[tex]y = (x^{3} + 8)^{6}[/tex]
Let:
[tex]u = x^{3} + 8[/tex]
Then:
[tex]y = u^{6}[/tex]
And:
[tex]\frac{dy}{dx} = \frac{dy}{du}. \frac{du}{dx}\\\\\frac{d^{2}y}{dx^{2} } = \frac{d^{2}y}{du^{2}}. \frac{d^{2}u}{dx^{2}}\\\\\frac{dy}{du} = 6u^{5}\\\\\frac{d^{2}y}{du^{2}} = 30u^{4}\\\\\frac{du}{dx} = 3x^{2}\\\\\frac{d^{2}u}{dx^{2}} = 6x[/tex]
So:
[tex]\frac{dy}{dx} = 6u^{5}.3x^{2}\\\\\frac{dy}{dx} = 18u^{5}x^{2}\\\\[/tex]
And:
[tex]\frac{d^{2}y}{dx^{2}} = 30u^{4}.6x\\\\\frac{d^{2}y}{dx^{2}} = 180u^{4}x[/tex]
Finally, substitute u for its equivalent expression in x:
[tex]\frac{d^{2}y}{dx^{2}} = 180x.(x^{3} +8)^{4}[/tex]
Helppppppppppppp pleaseee
Answer:
10
Step-by-step explanation:
you get a extra 2 because there is 1/4 left over x 8
Write the slope- intercept form of the equation of the line through given points.
Answer:
[tex]\boxed{\sf{y=-5x+8}}[/tex]Step-by-step explanation:
You can solve this problem using the slope formula and slope-intercept formula.
Slope formula:
[tex]\Longrightarrow: \sf{m=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{rise}{run} }[/tex]
Slope-intercept formula:
[tex]\Longrightarrow: \sf{y=mx+b}[/tex]
M: represents the slope.B: represents the y-intercept.(1,3) and (2,-2)
y2=(-2)
y1=3
x2=2
x1=1
Rewrite the problem.
[tex]\sf{\dfrac{-2-3}{2-1}=\dfrac{-5}{1}=-5 }[/tex]
The slope is -5.y-intercept is 8.Rewrite the problem.
y=-5x+8
Therefore, the correct answer is y=-5x+8.I hope this helps you! Let me know if my answer is wrong or not.
This one I can’t figure out! It has fractions too..
Answer:
3x+ 5 1/3
Step-by-step explanation:
Answer:
it is 3x + 16/3
Step-by-step explanation:
distribute the 3 to x and 1 then add three to 2 and 1/3.
I need it by tonight please. Explain a little too
what is the slope of the line (please help quick)
Kevin and randy muise have a jar co taining 64 coins all of which are quarters and nickles the total value of the coins in the jar ia $9.40 how many of each type of coin di they have
Answer: 188 nickles
Step-by-step explanation: Divide 9.40$ by 5
what is the answer for 12*12 ?
Answer:
144
Step-by-step explanation:
Hope this helps! God bless you!
The statement 25% of 12 is 3 has three numbers.in real life problems, any one of these numbers can be unknown.
Answer:
15
Step-by-step explanation:
what is the slope of x+y=-4?
Answer:
the slope is 1
Step-by-step explanation:
Answer:
-1
Step-by-step explanation:
[tex]1 \div \frac{1}{2} \div \frac{1}{3} [/tex]
Answer:
4
Step-by-step explanation: