Answers
Answer: A) 6/8
==================================================
Explanation:
The tangent of angle A is the ratio of the opposite and adjacent sides. So you just form a fraction of the opposite side (6) and the adjacent side (8)
The opposite side is the leg furthest from the reference angle A. The adjacent side is the leg closest to the angle A. Normally you would reduce the fraction as much as possible, but your teacher has chosen not to do so in this case.
ANSWER
A. 6/8
EXPLANATION
The tangent ratio is the ratio of the opposite side of the right triangle over the adjacent side of the right triangle.
The side opposite to angle A is 6cm
The side adjacent to angle A is 8cm.
[tex] \tan(A) = \frac{6cm}{8cm} [/tex]
[tex]\tan(A) = \frac{6}{8} [/tex]
The first choice is correct.
Related Questions
Three neighbors plan to complete fencing projects this spring. As shown in the diagrams below, Neighbor A plans to fence in his rectangular backyard with a 6-foot tall wooden privacy fence. Neighbor B plans to construct a circular chain link fence around his pool. And, Neighbor C is putting a vinyl fence around three side of his front yard. Note: Diagrams are not drawn to scale. Intended fences are marked with a dashed line.
Wood fencing is sold in 8 foot sections for $111.50. Chain link fencing costs $9.75 per linear foot (in whole foot lengths). And, vinyl fencing can be purchased for $53.55 per linear yard (in whole yard lengths).
Which neighbor's fencing project will cost the most?
Which neighbor's fencing project will cost the least?
Answers
Answer:
- The neighbor's fencing project that will cost the most is: Neighbor A.
- The neighbor's fencing project that will cost the least is: Neighbor B.
Step-by-step explanation:
To calculate the amount of fence that Neighbor A has to put up, you need to add the following distances:
[tex]Fence_A=5yards+8yards+25yards+8yards\\Fence_A=46yards[/tex]
Convert yards to feet (Remember that [tex]1yard=3feet[/tex]:
[tex]Fence_A=(46yards)(\frac{3feet}{1yard})=138feet[/tex]
You know that wood fencing is sold in 8 foot sections for $111.50, then, the number of sections for this fence will be:
[tex]sections=\frac{138feet}{8feet}=17.25[/tex]≈18
Then, the cost for this fencing project will be:
[tex]Cost_A=\frac{(18sections)(\$111.50)}{1section}=\$2,007[/tex]
To calculate the amount of fence that Neighbor B has to put up, you need to use the formula for calculate the circumference of a circle:
[tex]C=2\pi r[/tex]
Where r is the radius.
In this case, the radius is:
[tex]r=\frac{30feet+10feet}{2}=20feet[/tex]
Substituting, you get:
[tex]C=Fence_B=2\pi (20feet)=125.66feet[/tex]≈126 feet
You know that the Chain link fencing costs $9.75 per linear foot, then, the cost for this fencing project will be:
[tex]Cost_B=(126)(\$9.75)=\$1,228.5[/tex]
To calculate the amount of fence that Neighbor C has to put up, you need to add the following distances:
[tex]Fence_C=16feet+58feet+16feet\\Fence_C=90feet[/tex]
Convert from feet to yards (Remember that [tex]1yard=3feet[/tex]:
[tex]Fence_A=(90feet)(\frac{1yard}{3feet})=30yards[/tex]
You know that the vinyl fencing can be purchased for $53.55 per linear yard , then, the cost for this fencing project will be:
[tex]Cost_C=(30)(\$53.55)=\$1,606.5[/tex]
Therefore, the neighbor's fencing project that will cost the most is: Neighbor A.
The neighbor's fencing project that will cost the least is: Neighbor B.
Answer:
Therefore, the neighbor's fencing project that will cost the most is: Neighbor A.
The neighbor's fencing project that will cost the least is: Neighbor B.
Step-by-step explanation:
If the determinant of this matrix is -19, what is the value of a?
A.
3
B.
4
C.
5
D.
6
Answers
Answer:
C)5
Step-by-step explanation:
For a 3x3 matrix [tex]\left[\begin{array}{ccc}a&b&c\\d&e&f\\g&h&i\end{array}\right][/tex]
determinent is given by = = a(ei − fh) − b(di − fg) + c(dh − eg)
Given Matrix
[tex]\left[\begin{array}{ccc}-6&7&1\\a&-3&4\\-6&4&-3\end{array}\right][/tex]
determinent of matrix= -6((-3)(-3) − (4)(4)) − 7(a(-3) − (4)(-6)) + 1(a(4) − (-3)(-6))
-19= -6(9-16) - 7(-3a+24) +4a-18
125= 25a
125/25= 25a/25
a= 5 !
Answer:
a = 5
Step-by-step explanation:
We are given 3 x 3 matrix and the determinant of the matrix is -19.
We need find the value of "a" in the given matrix.
[tex]\left[\begin{array}{ccc}-6&7&1\\a&-3&4\\-6&4&-3\end{array}\right][/tex]
determinant (D) = -6[(-3)(-3) − (4)(4)] − 7[a(-3) − (4)(-6)] + 1[a(4) − (-3)(-6)]
-19 = -6[9 - 16] -7[-3a +24] +1[4a - 18]
-19 = -6[-7] +21a - 168 + 4a - 18
-19 = 42 + 21a -168 + 4a - 18
Simplify the like terms, we get
-19 = 25a - 144
25a = -144 + 19
25a = 125
Dividing both sides by 25, we get
a = [tex]\frac{125}{25}[/tex]
a = 5
So the value of a is 5.
0. The formula for the volume of a cylinder is V=hrh. Which statement is true?
a. The volume depends on the radius and the height of the cylinder.
b. The volume depends only on the radius of the cylinder.
c. The volume depends only on the height of the cylinder.
d. The volume depends on pi, the radius of the cylinder, and the height of the cylinder.
Answers
Answer:
d
Step-by-step explanation:
To find the volume of a cylinder you first find the area of the circle faces.
pi * r^2
Next you multiply that area by the height
The three pieces you used were pi, the radius, and the height
Answer: The best answer—and correct answer—is:
_________________________________________
→ Answer choice: [D]:
_________________________________________
" The volume depends on pi, the radius of the cylinder, and the height of the cylinder. "
_________________________________________
{Note: Technically—and by extension—Answer choice: [A]:
_________________________________________
" The volume depends on the radius and the height of the cylinder ." ;
_________________________________________
→ is also a "true— and correct— statement" ; since the volume "does" depend on the radius and the height of the cylinder [but not solely on these 2 (two) elements] — since
"pi" [ "π" ] must be included as well.}.
_________________________________________
Step-by-step explanation:
_________________________________________
{Note: The statement at the beginning of this question should be written correctly— to read as follows:
_________________________________________
" The formula for the volume of a cylinder is V = π * r² * h. Which statement is true? "}.
_________________________________________
{Note:
in which: "V = Volume" ; " π = pi "; "r = radius" ; "h = height " .} .
_________________________________________
Note that the Volume, "V" ; depends on all of the following three (3) elements:
_________________________________________
1. "pi" [ "π" ] ; and:
2. the radius, "r" ; and:
3. the height, "h" . _________________________________________
Hope that this answer—and explanation—is helpful to you.
Wishing you well in your academic endeavors
— and within the "Brainly" community!
_________________________________________
What is the range of -5,1,4,6,9,0,-7,-1
Answers
Answer:
16
Step-by-step explanation:
Consider the function f(x) = 3x. Which statement MUST be true?
A)
f(3)
f(1)
=
f(6)
f(4)
B) f(3)·f(1) = f(6)·f(4)
C) f(3) − f(1) = f(6) − f(4)
D) f(3) − f(1) = f(−3) − f(−1)
Answers
After substituting values of x into the function f(x) = 3x, statement 'f(3) − f(1) = f(6) − f(4)' is found to be correct.
Explanation:In order to determine which statement is accurate, we need to substitute the values of x into the function f(x) = 3x and perform the correct operations.
Let's examine the options:
A) This does not include any operation, so this is not a valid statement.
B) f(3)·f(1) = 9*3 = 27; f(6)·f(4) = 18*12 = 216. So this is not true.
C) f(3) − f(1) = 9 - 3 =6; f(6) − f(4) = 18 - 12 = 6. This statement is true.
D) f(3) − f(1) = 9 - 3 = 6; f(-3) − f(-1) = -9 - (-3) = -6. So this is not true.
Therefore, the statement that must be true is 'f(3) − f(1) = f(6) − f(4)'.
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Considering the function f(x) = 3x the correct Option is C: f(3) − f(1) = f(6) − f(4) .
Let's analyze each statement for the function f(x) = 3x to determine which one is true:
A) f(3)/f(1) = f(6)/f(4):
This statement suggests a proportional relationship. Computing the values, we get f(3) = 9, f(1) = 3, f(6) = 18, and f(4) = 12. Therefore, f(3)/f(1) = 9/3 = 3 and f(6)/f(4) = 18/12 = 1.5, so the statement is not true.B) f(3)·f(1) = f(6)·f(4):
This statement suggests a multiplicative relationship. Using the same computed values, f(3)·f(1) = 9·3 = 27 and f(6)·f(4) = 18·12 = 216, so this statement is not true.C) f(3) − f(1) = f(6) − f(4):
This implies an additive relationship. Using the computed values, f(3) − f(1) = 9 − 3 = 6 and f(6) − f(4) = 18 − 12 = 6. Both sides are equal, so this statement is true.D) f(3) − f(1) = f(−3) − f(−1):
This implies another additive relationship, but with negative inputs. Computing these values, f(−3) = −9 and f(−1) = −3, then f(3) − f(1) = 9 − 3 = 6 and f(−3) − f(−1) = −9 − (-3) = −6. Therefore, this statement is not true.Therefore, the correct answer is C.
g(t)=−9t−4
g ( ? ) = 23
Answers
Answer:
g(- 3) = 23
Step-by-step explanation:
We require to find the value of t so that g(t) = 23
Equate g(t) to 23 and solve for t, that is
- 9t - 4 = 23 ( add 4 to both sides )
- 9t = 27 ( divide both sides by - 9 )
t = - 3
Hence g(- 3) = 23
If the value of the function g(t) = -9t - 4 is 23. Then the value of t will be negative three.
What is a function?A function is a statement, rule, or law that establishes the connection between two variables. In mathematics, functions are everywhere and are necessary for constructing physical connections.
The function g(t) is given below.
g(t) = - 9t - 4
If the value of the function g(t) is 23. Then the value of t will be given as
23 = - 9t - 4
27 = - 9t
t = - 3
Then the value of t will be negative 3.
More about the function link is given below.
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Belize is a small country in Central America. The
southern portion of the country receives an average
of 200 inches of rain per year. The northern portion
of the country averages 30% of this total. What is
the average yearly rainfall in the northern part of
Belize to the nearest inch?
a. 60
b. 20
c. 140
d. 40
Answers
Answer:
60 inches
Step-by-step explanation:
30% of 200 inches = 200 inches * 30%
30% = 0.3
Substitute: 200 inches * 0.3
Multiply: 60 inches
Help please
With y=2x-4
Answers
Answer: 8, 0, -12
1. This is the equation of a line y=mx +b. All you have to do it substitute your x values into the x in the equation.
y=2(6)-4
y=8
y=2(2)-4
y=0
y=2(-4)-4
y=-12
Just plug in the values for what you are given, you plug in the value for x and solve for y.
For this case we have a function of the form [tex]y = f (x)[/tex]
Where [tex]f (x) = 2x-4[/tex]
We must find the values of "and" when:
[tex]x = 6\\y = 2 (6) -4\\y = 12-4\\y = 8[/tex][tex]x = 2\\y = 2 (2) -4\\y = 4-4\\y = 0[/tex][tex]x = -4\\y = 2 (-4) -4\\y = -8-4\\y = -12[/tex]ANswer:
8,0, -12
Option C
There are four steps for converting the equation x^2+y^2+12x+2y-1=0 into standard form by completing the square. Complete the last step.
Answers
Answer:
(x + 6)² + (y + 1)² = 36 + 1 + 1
Step-by-step explanation:
using the steps given, we are left with:
x² + 12x + 36 + y² + 2x + 1 = 38
we can factor each term in parentheses:
(x² + 12x + 36) + (y² + 2x + 1) = 36 + 1 + 1
lets start with x² + 12x + 36. we factor by finding 2 numbers that add up to 12 and when multiplied together get 36. the answer is 6. so we can factor:
(x + 6)²
next we factor y² + 2x + 1. the same rules apply, and this number would be 1.
(y + 1)²
we have the following:
(x + 6)² + (y + 1)² = 36 + 1 + 1
to simplify the right side, we add the terms, then square it as well to find the radius of the circle, in which the formula is (x - h)² + (y - k)² = r²
(x + 6)² + (y + 1)² = 38²
(x + 6)² + (y + 1)² = 1444
(x + 6)² + (y + 1)² = √1444
(x + 6)² + (y + 1)² = 38
this is the final form
In the given right triangle, find the missing length.
27 m
25 m
26 m
28 m
Answers
Answer:
26m
Step-by-step explanation:
a^2+b^2=c^2
24^2+10^2=c^
576+100=c^2
676=c^2
√676=√c^2
26=c
Can u guys help me with questions 4,5,6,7 and 8,9,10, and 11? Thank you if you do reply :) <3
Answers
Answer:
4. 120
5. 13
6. 70
7. 115
8. 28
9. I'm not sure for this one
10. 22
11. 45
Step-by-step explanation:
If you need me to explain how I got any of these just ask :)
How do you solve to get y?
Answers
Answer:
y = 64
Step-by-step explanation:
Using the rule of logarithms
• [tex]log_{b}[/tex] x = n ⇔ x = [tex]b^{n}[/tex]
Given
[tex]log_{y}[/tex] 4 = [tex]\frac{1}3}[/tex], then
4 = [tex]y^{\frac{1}{3} }[/tex]
Cube both sides
4³ = ([tex]y^{\frac{1}{3} }[/tex])³, hence
y = 64
Problem Solving Strategy
Categories
Drawing a picture
Making a Table
Working Backwards
Looking for a Pattern
Answers
Answer:
Drawing a picture = 1 and 2
Making a Table = 5 and 8
Working Backwards = 3 and 4
Looking for a Pattern =6 and 7
Step-by-step explanation:
student tickets for the football game cost $12 each and adult ticket cost $20 $1,720 was collected for the 120 ticket sold at last game which system of equations can be used to solve for the number of each kind of ticket sold
Answers
Answer:
85 student tickets and 35 adult tickets were sold.
Step-by-step explanation:
Howdy!
We know that student tickets cost $12, adult ticket cost $20 and 120 tickets were sold.
So:
$12×A + $20×B = $1,720. Where A and B are the number of student tickets and adult tickets sold, respectively.
Given that 120 tickets were sold in total, we have that:
A + B = 120
So the system of equations to be solved is the following:
$12×A + $20×B = $1,720 (1)
A + B = 120 (2)
Solving for 'A' in equation (2) we get:
A = 120 - B
Substituting this value into equation (1) we get:
$12×(120 - B) + $20×B = $1,720
Solving for 'B' we have:
$12×(120 - B) + $20×B = $1,720
$1,440 - $12×B + $20×B = $1,720
$1,440 + $8×B = $1,720
$8×B = $1,720 - $1,440
$8×B = $280
B = 35 tickets.
Given that B = 35, then A = 120 - 35 = 85 tickets.
So 85 student tickets and 35 adult tickets were sold.
Answer:
Students=85
Adults=35
Step-by-step explanation:
-12s-20a=-1720
20k+20a=2400
8k=680
k=85
85+a=120
a=35
what is the solution to x+4y=10 3x+12y=20 brainly
Answers
Answer:
The system has no solution.
Step-by-step explanation:
We have two equations:
1st: x+4y=10
2nd: 3x+12y=20
Write the two equations in slope-intercept form:
First equation:
4y=-x+10
[tex]y=-\frac{1}{4}x+\frac{5}{2}[/tex]
Second equation:
3x+12y=20
12y=-3x+20
Divide through by 12
[tex]y=-\frac{1}{4}x+\frac{5}{3}[/tex]
The two equations have the same slope but different y-intercepts.
The two equations are parallel and will never meet.
Therefore the system has no solution.
For questions 18-20 determine if line segment AB and line segment CD are parallel, perpendicular or neither
Answers
Answer:
Part 18) Lines AB and CD are perpendicular
Part 19) Lines AB and CD are parallel
Part 20) Lines AB and CD are perpendicular
Step-by-step explanation:
we know that
If two lines are parallel, then their slopes are the same
If two lines are perpendicular, then their slopes are opposite reciprocal each other (the product of their slopes is equal to -1)
The formula to calculate the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
Part 18) we have
[tex]A(-4,3),B(2,-12),C(10,5).D(0,1)[/tex]
step 1
Find the slope AB
substitute the given values in the formula
[tex]m=\frac{-12-3}{2+4}[/tex]
[tex]m=-\frac{15}{6}[/tex]
step 2
Find the slope CD
substitute the given values in the formula
[tex]m=\frac{1-5}{0-10}[/tex]
[tex]m=\frac{4}{10}[/tex]
[tex]m=\frac{2}{5}[/tex]
step 3
Compare the slopes
[tex]-\frac{15}{6} \neq \frac{2}{5}[/tex] ----> the lines are not parallel
[tex]-\frac{15}{6}*\frac{2}{5}=-1[/tex] ----> the lines are perpendicular
Part 19) we have
[tex]A(2,3),B(8,-15),C(-2,2).D(-5,11)[/tex]
step 1
Find the slope AB
substitute the given values in the formula
[tex]m=\frac{-15-3}{8-2}[/tex]
[tex]m=-\frac{18}{6}=-3[/tex]
step 2
Find the slope CD
substitute the given values in the formula
[tex]m=\frac{11-2}{-5+2}[/tex]
[tex]m=-\frac{9}{3}=-3[/tex]
step 3
Compare the slopes
[tex]-3=-3[/tex] ----> the lines are parallel
Part 20) we have
[tex]A(5,6),B(-1,6),C(-2,-7).D(-2,-4)[/tex]
step 1
Find the slope AB
substitute the given values in the formula
[tex]m=\frac{6-6}{-1-5}[/tex]
[tex]m=\frac{0}{-6}=0[/tex] ----> is a horizontal line parallel to the x-axis
step 2
Find the slope CD
substitute the given values in the formula
[tex]m=\frac{-4+7}{-2+2}[/tex]
[tex]m=\frac{3}{0}[/tex] -----> is undefined (is a vertical line, parallel to the y-axis)
step 3
Compare the slopes
The lines are perpendicular (because the x-axis and the y-axis are perpendicular)
The classification of line segments AB and CD as parallel, perpendicular, or neither depends on the slopes of the lines. If the slopes are equal, the segments are parallel; if the slopes are negative reciprocals, the segments are perpendicular. Without specific locations or further details for these segments, a definitive determination can't be made.
Explanation:In order to determine if line segment AB and line segment CD are parallel, perpendicular, or neither, we must consider the slope they form when plotted on a Cartesian plane. If they have the same slope, they are parallel. If the slopes are negative reciprocals of each other, they are perpendicular. If neither of these are the case, then they are neither parallel nor perpendicular.
For example, consider line segment AB located at points A (1, 3) and B (3, 7), and line segment CD located at points C (2, 4) and D (4, 8). The slope of AB (m1) can be calculated as (7-3) / (3-1) = 2 and the slope of CD (m2) as (8-4) / (4-2) = 2. Since m1 = m2, AB is parallel to CD.
While this provides a basic approach, without specific values or further information about AB and CD, a definitive classification cannot be made.
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Need Help. Please Please
Answers
ANSWER
A.
[tex]P(x)=6x^2 +75x +200[/tex]
EXPLANATION
The given revenue function is:
[tex]R(x)=6x^2 +100x+300[/tex]
The cost function is
[tex]C(x)=25x+100[/tex]
The profit function can be obtained by subtracting the cost function from the revenue function.
[tex]P(x)=R(x)-C(x)[/tex]
This implies that:
[tex]P(x)=6x^2 +100x+300 - (25x + 100)[/tex]
Expand the parenthesis to get:
[tex]P(x)=6x^2 +100x+300 - 25x - 100[/tex]
Group similar terms:
[tex]P(x)=6x^2 +100x - 25x - 100+300[/tex]
Combine the similar terms to get:
[tex]P(x)=6x^2 +75x +200[/tex]
The cot answer is A
Marco buys a certain brand of shampoo for a supplier$7.25 per bottle he sell it to his customers at a market up of 25% What would market update
Answers
The markup would be $1.81 I hope this helps! : )
Sara Blake's grandmother gave her $3000.00 to save for college. She put it in a savings account that earns 6% interest per year. The money was in the account for 8 years. How much simple interest did she earn?
Answers
• P is the principal amount, $3000.00.
• r is the interest rate, 6% per year, or in decimal form, 6/100=0.06.
• t is the time involved, 8 years time periods.
• So, t is 8 year time periods.
To find the simple interest, we multiply 3000 × 0.06 × 8 to get that:
The interest is: $1440.00
What is the value of x
Answers
ANSWER
x=27
EXPLANATION
The two triangles are similar so the corresponding sides are equal.
[tex] \frac{x}{x +1 8} = \frac{39}{39 + 26} [/tex]
[tex]\frac{x}{x +1 8} = \frac{39}{65} [/tex]
Cross multiply to get;
[tex]65x = 39(x + 18)[/tex]
Expand:
65x=39x+702
Group similar terms:
65x-39x=702
Simplify
26x=102
Divide both sides by 26,
x=702/26
x=27
Please help
A septic tank in the shape of a rectangular prism must hold a volume of 234 cubic feet. If the width of the tank is 4.5 feet and the length is 8 feet, what is the height of the tank?
Answers
Final answer:
The height of the septic tank is 6.5 feet.
Explanation:
To find the height of the septic tank, we need to use the formula for the volume of a rectangular prism, which is length x width x height.
Given that the volume of the tank is 234 cubic feet, the width is 4.5 feet, and the length is 8 feet, we can substitute these values into the formula and solve for the height:
234 = 8 x 4.5 x height
Dividing both sides of the equation by 36, we get:
6.5 = height
Therefore, the height of the tank is 6.5 feet.
1,003,498 word form
Please my
Answers
one million - three thousand - four hundred - ninety eight
Use the model below to calculate 9 ÷ 1 3 please help.
9/3
3/9
13 1/2
27
Answers
Answer:
Step-by-step explanation:
c i think
Answer:
D
Step-by-step explanation:
Calculate
9 Divided by 1/3 =
27 so your answer should be D.
I did the Test Btw!
Are cubic millimeters bigger than cubic inches
Answers
No. Inches are longer than millimeters
False, it is the other way around. You can think of cubic measurements just like regular ones. Cubic inches are larger than cubic millimeters just like inches are bigger than millimeters.
This is a picture of a cube and the net for the cube.
What is the surface area of the cube?
a. 48mm
B. 64mm
c. 112mm
d. 384mm
Answers
B:64————————bc 8x8 is 64
Answer:it’s D
Step-by-step explanation:
Need help anyone please ?
Answers
ok well in this specific example you are multiplying by 1000 so the answer or you are moving the decimal to the right 3 places so the answer is 3240
What is the answer??????
Answers
Answer:
D. G(x) = (x + 3)²Step-by-step explanation:
f(x) - n - shift the graph n units down
f(x) + n - shift the graph n units up
f(x - n) - shift the graph n units to the right
f(x + n) - shift the graph n units to the left
==========================================
From the graph:
G(x) - the graph F(x) has been shifted 3 units to the left (look at the vertex).
Therefore your answer is G(x) = F(x + 3) = (x + 3)²
The answer is D. D is the answer
Given that PO is a midsegment of △LMN, to which segment is MO congruent?
MP
OL
PN
PO
Answers
Answer:
OL
Step-by-step explanation:
Got it right
Answer: B , OL on edg
Step-by-step explanation:
yasmine uses 1/3 cup of water for 1 serving of a spaghetti sauce. she wants to make 3 3/4 servings of spaghetti sauce. how much water will yasmine need?
Answers
The answer is 1 and 3/4
Final answer:
Yasmine needs 1 1/4 cups of water to make 3 3/4 servings of spaghetti sauce.
Explanation:
Yasmine uses 1/3 cup of water for 1 serving of spaghetti sauce. She plans to make 3 3/4 servings of the sauce. To find out the total amount of water she will need, we first convert 3 3/4 servings to an improper fraction which is 15/4 servings. We then multiply this by the amount of water needed for one serving (1/3 cup).
Here's the calculation:
(15/4) servings × (1/3) cup/serving = (15/4) × (1/3) = 15/12 cups
Simplify 15/12 cups to get 5/4 cups or 1 1/4 cups.
Therefore, Yasmine needs 1 1/4 cups of water for 3 3/4 servings of spaghetti sauce.
Dan solves 6p=5-3p in the way shown below. Which properties did Dan use for Step 1 and Step 2?
Answers
Answer:
Both the addition property of equality and the additive identity property
Step-by-step explanation:
we know that
The addition property of equality states that if the same amount is added to both sides of an equation, then the equality is still true
The additive identity property says that if you add a real number to zero or add zero to a real number, then you get the same real number back
we have
[tex]6p=5-3p[/tex]
step 1
Applying the addition property of equality adds 3p both sides
[tex]6p+3p=5-3p+3p[/tex]
step 2
Applying the additive identity property
[tex]6p+3p=5+0[/tex]
step 3
[tex]9p=5[/tex]
step 4
[tex]p=5/9[/tex]
Answer:
Both the Addition Property of Equality and the Additive Identity Property
Step-by-step explanation:
This is Because we know the The Addition Property of Equality means or defines If two expressions are equal to each other, and you add the same value to both sides of the equation, the equation will remain equal. So that would show or represent the Step 1
And for Step two it is The Additive Identity Property because we know that defines : an identity element (such as 0 in the group of whole numbers under the operation of addition) that in a given mathematical system leaves unchanged any element to which it is added.
This is why the correct answer is.... "Both the Addition Property of Equality and the Additive Identity Property"