Answer:
[1] Addition property of equality
[2] Division property of equality
Step-by-step explanation:
Given the equation, [tex] 4x - 6 = 34 [/tex], the following are steps and justification for each step taken:
[tex] 4x - 6 = 34 [/tex] => Given equation
Add 6 to both sides
[tex] 4x - 6 + 6 = 34 + 6 [/tex] => addition property of equality [1]
[tex] 4x = 40 [/tex] => simplify
Divide both sides by 4
[tex] \frac{4x}{4} = \frac{40}{4} [/tex] => Division property of equality [2]
[tex] x = 10 [/tex] => simplify
The justification for the steps taken are:
[1] Addition property of equality
[2] Division property of equality
angle of elevation and depression
Answer:
Solved Examples on Angle of Depression: 1. From the top of a tower, a man finds that the angle of depression of a car on the ground is 30°. If the car is at a distance 40 metres from the tower, find the height of the tower.
Step-by-step explanation:
What kind of linear relationship can be represented using a table but not a function? Explain. (1 point)
O A horizontal line can be represented using a table but not a function because the slope is undefined
A vertical line can be represented using a table but not a function because the slope is undefined.
O A vertical line can be represented using a table but not a function because the slope is zero.
O A horizontal line can be represented using a table but not a function because the slope is zero
Answer:
The correct option is;
A vertical line can be represented using a table but not a function because the slope is undefined
Step-by-step explanation:
A function, f(x), representing a linear relationship can be presented as follows;
f(x) = m·x + c
Where;
m = The slope = Δy/Δx = (y₂ - y₁)/(x₂ - x₁)
c = The y-intercept
Whereby the line is a vertical line, x₂ = x₁ and x₂ - x₁ =
Therefore;
The slope of a vertical function, m = (y₂ - y₁)/(x₂ - x₁) = (y₂ - y₁)/0 = ∞ from which we have;
f(x) = ∞·x + c = ∞ which is undefined and the vertical line can only be represented using a table but not a function because the slope is undefined
pls help!! would be greatly appreciated<3
Answer:
x=7
Step-by-step explanation:
Insert a rational number between 1/2 and 1/3 by mean method?
Answer:
[tex]\frac{5}{12}[/tex]
Step-by-step explanation:
To find a rational number by the mean method.
Add the 2 fractions and divide the result by 2
[tex]\frac{1}{2}[/tex] + [tex]\frac{1}{3}[/tex]
To add the fractions we require them to have a common denominator.
The LCM of 2 and 3 is 6 ← required common denominator
Multiply numerator/denominator of first fraction by 3
Multiply numerator/denominator of second fraction by 2
= [tex]\frac{1(3)}{2(3)}[/tex] + [tex]\frac{1(2)}{3(2)}[/tex]
= [tex]\frac{3}{6}[/tex] + [tex]\frac{2}{6}[/tex] ( add numerators, leaving denominator )
= [tex]\frac{5}{6}[/tex]
Now divide by 2
[tex]\frac{5}{6}[/tex] ÷ 2 leave first, change division to multiplication, turn second upside down )
= [tex]\frac{5}{6}[/tex] × [tex]\frac{1}{2}[/tex]
= [tex]\frac{5}{12}[/tex]
This is the fraction midway between the 2 given fractions
PLEASE HELP WITH GEOMETRY
Answer:
acute triangle
Step-by-step explanation:If the square of the length of the longest side of a triangle is less than the sum of the squares of the lengths of the other two sides, then the triangle is an acute triangle.
Which statement best explains the relationship between
lines AB and CD?
They are parallel because their slopes are equal.
They are parallel because their slopes are negative
reciprocals.
They are not parallel because their slopes are not
equal.
They are not parallel because their slopes are
negative reciprocals.
A- they are parallel because they have equal slopes.
What is the quotient? -3/8 divided by -1/4
I NEED THE ANSWER NOW
Answer:
The last one
Step-by-step explanation:
68/5 - 22/5 = 46/5 = 9 1/5
Answer:
Option d
Explanation:
[tex]\frac{68}{5} - \frac{22}{5} = \frac{46}{5}[/tex]
46/5 in mixed fraction is [tex]9\frac{1}{5}[/tex]
Kenzie is putting the family vacation videos onto a flash drive. The flash drive can hold 200 minutes of video. Kenzie has used 45% of the memory space already. How many minutes of the flash drive has she already used?
Answer:
90 minutes
Step-by-step explanation:
In order to calculate a percentage of the minutes of video we simply need to divide the percentage by 100 and then multiply that value by the total number of minutes that the flash drive can hold. Since we are given this total number of minutes then we can simply plug it in and solve for x which represents the percentage of memory used in minutes.
x = 200 * (45 / 100)
x = 200 * 0.45
x = 90 minutes
Therefore, Kenzie has already used 90 minutes of video on the flash drive.
Carlos biked StartFraction 139 over 8 EndFraction miles on Saturday and StartFraction 135 over 7 EndFraction miles on Sunday. On which day did he ride further and by how much? Carlos rode further on Saturday by 1 and StartFraction 51 over 56 EndFraction miles. Carlos rode further on Saturday by 3 and StartFraction 5 over 56 EndFraction miles. Carlos rode further on Sunday by 3 and StartFraction 51 over 56 EndFraction miles. Carlos rode further on Sunday by 1 and StartFraction 51 over 56 EndFraction miles. Mark this and return
Answer:
Carlos rode further than on Saturday by 107/56 miles.
Step-by-step explanation:
i did the quiz lol
Answer:
Its D
Step-by-step explanation:
I took the test and got it right.
)A triangle is shown on the graph:
What effect will a 90-degree clockwise rotation have on the triangle? Be sure to address how it could impact the angles, side lengths, and any congruency between the original pre-image and the image.
Answer:
45
Step-by-step explanation:
Answer:
45 idrk
Step-by-step explanation:
SCOOBY-dooby-do-la-de-da-de-da
help me please with this question
Answer:
see explanation
Step-by-step explanation:
2B + 3C
= 2 [tex]\left[\begin{array}{ccc}4&-5\\-2&1\\\end{array}\right][/tex] + 3 [tex]\left[\begin{array}{ccc}1&-1\\-6&3\\\end{array}\right][/tex]
Multiply each element in the matrices by the scalar quantity, that is
= [tex]\left[\begin{array}{ccc}8&-10\\-4&2\\\end{array}\right][/tex] + [tex]\left[\begin{array}{ccc}3&-3\\-18&9\\\end{array}\right][/tex]
Add corresponding elements from each matrix
= [tex]\left[\begin{array}{ccc}8+3&-10-3\\-4-18&2+9\\\end{array}\right][/tex]
= [tex]\left[\begin{array}{ccc}11&-13\\-22&11\\\end{array}\right][/tex]
You have 20 minutes to finish 10 math problems for homework. Write and solve an inequality that
represents how many minutes you can spend per problem.
HURRY PLEASE
Answer:
one min
Step-by-step explanation:
Answer: 2 minutes
20/10=2
But all this-the mysterious, far-reaching hair-line trail, the absence of sun from the sky, the tremendous cold, and the strangeness and weirdness of it all-made no impression on the man.
What can you infer about the man from the excerpt above?
Answer:huh
Step-by-step explanation:
[tex]log_{9}log_{2}log_{2}256[/tex]
Answer:
I hope it will help you...
What is the equation of a line passing through the point (-4, 8) that is parallel to the line y = 2x + 6
Answer:
y = 2x + 16
Step-by-step explanation:
slope is parallel and equal to y = 2x + 6
y intercept = 16
Answer:
b - y=2x+16
Step-by-step explanation:
y=y1+m(x+x1)
(-4,8)
y=8+2(x-4)
y=8+2x-8
add 8 on both sides
y=2x+16
Solve for g
8.95 – 5.4g = 3.81 – 9.58 – 8.69
Answer:
3
Step-by-step explanation:
Answer:
g=4.33
Step-by-step explanation:
8.95 - 5.4g = 3.81 - 9.58 - 8.69
-5.4g = 3.81 -9.58 -8.69 - 8.95
-5.4g = 5.77 - 8.69 - 8.95
-5.4g = -14.46 - 8.95
-5.4g = 23.41
-5.4/-5.4 =23.41/-5.4
g=4.33
trying this again not sure if it went through the first time
The picture is really blurry for me. I can't read it...
I’ll give the Brainliest to who answers this question with a reasonable explanation.
If Jan can buy 12 copies of a certain book for $40, what is the unit rate for cost per copy? How much would it cost her to buy 18 copies at the same rate?
Thank you!
The sum of 5 times a number and -6 is 2
How should I write that?
Answer:
5x-6=2
Step-by-step explanation:
Sophia writes at a constant rate of 6
pages per
2 hours.
Write an equation that relates p, the
number of pages Sophia writes, and h.
the time she spends writing them in
hours.
Answer:
p÷3=h
My logic:
if you want the p (pages) to directly relate to h then this eqation represents that what ever p is divided by 3 will give you h.
Hope this helped!
13-715x=130x
show work plzz
Answer:
Solving equation [tex]13-715x=130x[/tex] we get [tex]x= \frac{1}{65}[/tex]
Step-by-step explanation:
We need to solve the equation [tex]13-715x=130x[/tex]
Combining like terms and solving
[tex]13-715x=130x\\Adding \ 715x \ on \ both \ sides:\\13-715x+715x=130x+715x\\13=845x\\Divide \ both \ sides \ by \ 845\\\frac{13}{845}=\frac{845x}{845}\\=>x= \frac{1}{65}[/tex]
So, solving equation [tex]13-715x=130x[/tex] we get [tex]x= \frac{1}{65}[/tex]
Plot the line for the equation on the graph.
y−2=−2(x+4)
Answer:
(-3,0) and (0,-6)
Step-by-step explanation:
17) When filled to maximum capacity, a silo can hold about 4,000 cubic meters of corn. The radius of the silo is 8 meters. To the nearest meter, what is the approximate height (h) of the silo?
Answer: ion know i'm guessing 4
Step-by-step explanation: because it shows 8 at the top, so since it's full and it's 4,000 then that'll basically make 8 the 4000, so since 4 is half of 8 then we prolly have our answer right there
Answer: It would be 20
Step-by-step explanation: The formula for height would be h= v/pi r squared, just plug in the numbers
The ratio of women to men at a college is 9 to 8. If there are 5,644 students in the school, how many more women are there than men?
Answer:
78
Step-by-step explanation:
5,644 divided by 9 = 627
5,644 divided by 8 = 705
705 - 627 = 78
Hope this helps
mark brainliest please
SINE COSINE and TANGENT ratios
(Type an integer or simplified fraction)
Answer:
17 / 8
Step-by-step explanation:
sec A = [tex]\frac{1}{cos A}[/tex]
cos A = [tex]\frac{40}{85}[/tex] = [tex]\frac{8}{17}[/tex] ⇒ sec A = [tex]\frac{17}{8}[/tex]
What value of makes the equation 0.25(10x-3)= 1.5(x+2) - 0.75 true?
A. x = 3
B. x= 4
C. x= 3.75
D. x= 4.25
Answer:
3.75
Step-by-step explanation:
2.5x-.75=1.5x+3
x=3.75
PLEASEEEE HELPPPPPPP ASAPPPPP
Answer:
x>-1
Step-by-step explanation:
first, you have to distribute. 12x+8-6>2x-16+8
then you have to combine like terms 12x+2>2x-8
you put the X's on one side 10x+2> -8
move the 2 to the -8 10x>-10
divide x>-1
Answer:
Number 2. x>-1
Step-by-step explanation:
4(3x+2) is 12x+8. 12x+8-6 is 12x+2.
12x+2>8+2(x-8)
2(x-8) is 2x-16. 2x-16+8 is 2x-8.
12x+2>2x-8
12x>2x-10
10x>-10
x>-1
HELPPPPPP NOWWWWWE PLEASEEEE
Answer:
answer is C
Step-by-step explanation:
because they make linear
1
Robert climbed 775 steps in 12 minutes.
2
How many steps did he average per minute?
Answer:
64 and 1/3 steps
Step-by-step explanation:
Answer:
775 / 12 = 64.5833...
Step-by-step explanation: