Given:
The equation is
[tex]20y-10x+5[/tex]
To find:
The slope intercept form of the given equation.
Solution:
The slope intercept form of a linear equation is
[tex]y=mx+b[/tex]
Where, m is slope and b is the y-intercept.
We have,
[tex]20y-10x=5[/tex]
We need to isolate y. Add 10x on both sides.
[tex]20y-10x+10x=5+10x[/tex]
[tex]20y=5+10x[/tex]
Divide both sides by 20.
[tex]\dfrac{20y}{20}=\dfrac{5+10x}{20}[/tex]
[tex]y=\dfrac{5}{20}+\dfrac{10x}{20}[/tex]
[tex]y=\dfrac{1}{4}+\dfrac{x}{2}[/tex]
[tex]y=\dfrac{1}{2}x+\dfrac{1}{4}[/tex]
Therefore, the slope intercept form of the given equation is [tex]y=\dfrac{1}{2}x+\dfrac{1}{4}[/tex].
Is 4( 3b - 4) equivalent to 2( 6b - 8) ?
Answer:
YES
Step-by-step explanation:
4(3b-4)=2(6b-8)
12b-16=12b-16
YES
Answer:
yes
Step-by-step explanation:
because 4*3=12 and 2*6=12 , and 4*4=16 and 2*8=16
nolur cözebilirmisiniz
Answer:
vvhfdefg
is c60
Can you explain to me how you got it
Answer:
Vertical Angles
Step-by-step explanation:
They are vertical angles because they are directly across from each other
How many people ate at least 1 banana last week?
Explain your answer.
Answer:
11 people ate at least 1 banana.
25/35 Marks
Find the midpoint of A and B where A has coordinates (8, 2)
and B has coordinates (3,8).
Answer:
[tex]\displaystyle (\frac{11}{2},5)[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Midpoint Formula: [tex]\displaystyle (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]Step-by-step explanation:
Step 1: Define
Point A(8, 2) → x₁ = 8, y₁ = 2
Point B(3, 8) → x₂ = 3, y₂ = 8
Step 2: Find Midpoint
Simply plug in your coordinates into the midpoint formula to find midpoint
Substitute in points [Midpoint Formula]: [tex]\displaystyle (\frac{8+3}{2},\frac{2+8}{2})[/tex][Midpoint] [Fraction] Add: [tex]\displaystyle (\frac{11}{2},\frac{10}{2})[/tex][Midpoint] Divide: [tex]\displaystyle (\frac{11}{2},5)[/tex]How much must be added to each of the three number 1, 11, and 23 so that together they form a geometric progression?
Answer:
49
Step-by-step explanation:
Let the three numbers be a1, a2, a3
Let the number to be added to form a geometric progression = x
a1 = 1 + x ; a2 = 11 + x ; a3 = 23 + x
For a geometric progression :
a2 = a1 * r
a2 = (1+x)r
11+x = (1+x)r - - (1)
r = (11+x) / (1+x) ---(1)
a3 = a2 * r
a3 = (11+x)r
23+x = (11+x)r - - -
r = (23+x) / (11+x) - - (2)
Equate (1) and (2)
(11+x) / (1+x) = (23+x) / (11+x)
(11+x) * (11+x) = (23+x) * (1+x)
121 + 22x + x² = 23 + 24x + x²
121 + 22x + x² - x² - 24x - 23 = 0
98 - 2x = 0
-2x = - 98
x = 98 / 2
x = 49
what is the range of possible sizes for x?
Answer:
0.5 < x < 15.5
Step-by-step explanation:
Triangle Inequality Theorem
Let y and z be two of the side lengths of a triangle. The length of the third side x cannot be any number. It must satisfy all the following restrictions:
x + y > z
x + z > y
y + z > x
Combining the above inequalities, and provided y>z, the third size must satisfy:
y - z < x < y + z
The two side lengths given in the triangle of the figure are y=8.5, z=8.0, thus the possible values of x lie in the interval
8.5 - 8.0 < x < 8.5 + 8.0
0.5 < x < 15.5
HELP ME WITH THIS PLEASE
Answer:
2x+11=25
7
Step-by-step explanation:
I think of a number (x) and double it (multiply it by 2) and then add 11
put this all together and get
2x+11=25
Solve for x
2x=14
x=7
Answer:
2x+11=25
Step-by-step explanation:
x=7
You decide to make and sell bracelets. The cost of your materials is $84. You charge $3.50 for each bracelet.
c. You will break even when the cost of your materials equals your income. How many bracelets must you sell to break even?
Answer:
You would need to sell 28 bracelets.
Step-by-step explanation:
28 x $3.50 = $85.48
27 bracelets is too little, 27 x $3.50 = $82.35
So it's 28
Two of the following numbers add up to seventeen. 6 - 13 - 2 - 12 - 7 - 14
FALSE
TRUE
Answer:
false
Step-by-step explanation:
i tried everything
what is 892.42 rounded tents place
892.4
May Nilbin Be With You
Everyone keeps on ignoring me): please help will mark brainliest):
Answer:
Step-by-step explanation:
They are testing whether you remember the basic 30,60,90 degree triangle side relationship. The ratio of sides for this triangle are 1 opposite the 30 degree angle, square root of three opposite the 60 degree angle and a hypotenuse of 2 opposite the 90 degree angle.
x/2=2/1
x=4/1=4
bottom answer choice
x/4=3^(1/2)/1
x=4(3^(1/2))
third answer choice
Numbers 6 , 3 , (X – 4) are length of sides of an isosceles triangle , X =
PLEASE HELP i suck at math
What are the coordinates of the image of A(2, 5) after it is rotated
180° clockwise about the origin?
HELPPPPPP DUE AT 5PM
Answer:
1.B 2.B 3.B 4.B
Step-by-step explanation:
They are all B 0_0
1. Bryan randomly selects 2 items from his closet. What is the probability that he selects 2 pairs
of pants?
In the above question is 400 the part or the whole?
Answer:
What is it?
Step-by-step explanation:
Solve for X
Thank you
Answer:
X is equal to 5
Step-by-step explanation:
The tangents of a circle is always equal, which means 2x + 7 = 5x - 8. After you solve this equation, you will get that X = 5.
i dont get the question
Answer:
(4,2) suffices the linear equation, for example.
Step-by-step explanation:
We are asked for any other pair [tex](x,y)[/tex] that suffices [tex]2y-3x = 5[/tex]. We can try [tex]x=1[/tex] (any other value also works because this is a line) and see that (4,2) suffices.
please find the m∠DEF
Answer:
m∠DEF=29
Step-by-step explanation:
4y-7=2y+11
4y=2y+18
2y+18
y=9
2(9)+11= 29
4(9)-7=29
POSSIBLE POINTS: 0.83
On Saturday, Breanne drove 25 miles. On Sunday, she
drove 125 miles. The number of miles Breanne drove on
Sunday is what percent of the number of miles she drove
on Saturday?
%
Answer: 500%
Step-by-step explanation:
125 / 25 = 5 = 500%
We can check this answer by doing 5×25 = 125 so our answer is correct.
I am not a professional, I am simply using prior knowledge!
Note- It would mean the world to me if you could mark me brainliest!
The actual amount of water in a test tube is 680 mL but when Tim measured it he erred by 3% too high. What measurement did Tim get
Answer:
Step-by-step explanation:
Answer:
700.4mL is the answer
Step-by-step explanation:
Find the slope of the line that passes through the following points: E(1.4). F(5,-2)
Answer:
-1.5
Step-by-step explanation:
m=-6/4
m=-3/2
-1.5
Answer:
-3/2
Step-by-step explanation:
[4-(-2)] / [1-5] = 6 / -4 = -3/2
Can somebody help???
Answer:
first box - 2.10
second box - 2.14
Answer:
2.10 & 2.14
Step-by-step explanation:
its basic adding by 2 yk
A mountain climber climbed down a cliff 20 metres at a time. He did this 3 times in one
day. What was the overall change in his elevation?
Answer: The climbers overall change in elevation was -60 meters
Hope this helps. Let me know if you need anything else.
Dario is finding the percent of change from the original price of $75 to new price of $125.
Answer:
66.66666% increase (6 goes on forever, can be rounded to 66.67%)
Step-by-step explanation:
The change is 125 - 75 = 50, so it increased by 50/75 = 2/3 = 0.666666... = 66.6666%
Addison invested $440 in an account paying an interest rate of 2%
compounded continuously. Assuming no deposits or withdrawals are
made, how long would it take, to the nearest tenth of a year, for the
value of the account to reach $610?
Answer:
16.3
Step-by-step explanation:
Continuously compounding interest formula:
pe^(r*t)
we know that
440e^(.02x)=610
Sovle for x
e^.02x=1.38
.02x=ln1.38
.02x=.3267
x=16.3
Answer:
16.3
Step-by-step explanation:
I got it right
Victim but jeans on sale for $60 the silver 20% off what was the original price of the
Answer: i beleive $72
Step-by-step explanation:
Solve the equation: 1/2(4x - 16) = 14
what is x
x = 11
x = 3.75
x = -2
x = 5
Answer:
x = 11Step-by-step explanation:
1/2(4x - 16) = 14
2x - 8 = 14 {add 8 to both sides}
2x = 22 {divide both sides by 2}
x = 11
3(x^2-1) + 4(x^2 - 3) = 13
solve for x
Answer:
x=2, x=-2
Step-by-step explanation:
3x²-3+4x²-12=13
7x²=13+12+3
7x²=28
x²=4
x=-2
x=2
