Answer:
y = ²/₃x + 3Step-by-step explanation:
y=m₁x+b₁ ║ y=m₂x+b₂ ⇔ m₁ = m₂
{Two lines are parallel if their slopes are equal}
Changing to slope-intercept form:
2x - 3y = 9 {subtract 2x from both sides}
-3y = -2x + 9 {divide both sides by (-3)}
y = ²/₃x - 3 ⇒ m₁=²/₃ ⇒ m₂=²/₃
The line y=²/₃x+b passes through point (6, 7) so the equation:
7 = ²/₃×6 + b is true
7 = 4 + b
b = 3
Therefore equation in slope-intercept form:
y = ²/₃x + 3
The equation of the line passing through the point (6, 7) parallel to the line is y = 2/3x + 3
The equation in slope - intercept form :
2x - 3y = 9
-3y = 9 - 2x
Divide both sides by - 3
y = - 3 + 2/3x
Using the points (6, 7)
7 = c + 2/3(6)
7 = c + 12/3
7 = c + 4
c = 7 - 4 = 3
c = 3
The equation of the parallel line is thus :
y = 2/3x + 3Learn more : https://brainly.com/question/18106342
If c= 16, solve for b. (Timed!!!)
Answer:
b is 8√3 ⇒ A
Step-by-step explanation:
In the given triangle
∵ The Δ is the special right triangle 30°: 60°: 90°
∴ There is a ratio between its sides
∵ a is opposite to the angle of measure 30°
∵ b is opposite to the angle of measure 60°
∵ c is opposite the angle of measure 90°
∴ a: b: c = 1: √3: 2
∵ c = 16
→ By using the ratio between its sides
→ 30°: 60°: 90°
→ 1 : √3: 2
→ a : b : 16
→ By using cross multiplication
∵ b × 2 = √3 × 16
∴ 2b = 16√3
→ Divide both sides by 2
∴ b = 8√3
g(x) is the transformation the parent function f(x)=x2 after being reflected over the x-axis and translated 4 units left. What is the equation for g(x)?
Answer:
Reflection across the x-axis: y = − f ( x ) y = -f(x) y=−f(x) The concept behind the reflections about the x-axis is basically the same as the reflections about the y-axis. The only difference is that, rather than the y-axis, the points are reflected from above the x-axis to below the x-axis, and vice versa.
the equation for g(x) after reflected over x axis and translated 4 units left
[tex]g(x)=-(x+4)^2[/tex]
Given :
Parent function is [tex]f(x)=x^2[/tex]
When a graph is reflected over x-axis then f(x)=-f(x)
When a graph is translated 'a' units left then we add 'a' with
f(x) becomes f(x+a)
Parent function f(x) is reflected over x-axis , multiply -1 with f(x)
so , [tex]f(x)=-x^2[/tex]
Now we translate 4 units to the left, add 4 with x
[tex]g(x)=-x^2\\g(x)=-(x+4)^2[/tex]
The final equation of g(x) is
[tex]g(x)=-(x+4)^2[/tex]
Learn more : brainly.com/question/9111027
Write a situation to represent the integer -17.
Answer: 12
Step-by-step explanation:
What is the slope of the graph of x-2y=8?
A:2
B:- 1/2
C:0
D:1/2
what is the sum of this sequence 1+3+5+7+...+999
Answer:
250,000
Step-by-step explanation:
the equation of this arithmetic sequence is 1 + 2n
1 + 2n = 999
2n = 998
n = 499
[tex]\mathrm{\sum _{n=0}^{499}1+2n}[/tex] = 250,000
Help please due in 30 minutes
Answer:
the last one
Step-by-step explanation:
uv
If c= 6, solve for a.
Answer:
A=3[tex]\sqrt{2}[/tex]
Step-by-step explanation:
Answer:
Step-by-step explanation:
this is an isosceles right triangle, a special triangle where if hypothenuse is x,the legs are a/sqrt2
c=6
a=6/[tex]\sqrt{2}[/tex]=3[tex]\sqrt{2}[/tex]
WHICH FUNCTION BEST REPRESENTS THIS GRAPH?
Answer:
y=-2+1
Step-by-step explanation:
wich number is an irrational number
somebody please help me!!!!!
Answer:
62% and 64%
Step-by-step explanation:
no computer access = 21 + 165 = 186/300 = 0.616 = 62%
no email access = 27 + 165 = 192/300 = 0.64 = 64%
Answer:
(a) 62%
(b) 64%
Step-by-step explanation:
To find the answer to part "a" you need to divide the total number of shoppers without computer access at home by the total number of shoppers (300).
186/300 = 0.616 = 0.62
0.62 is equivalent to 62%
To find the answer to part "b" you need to divide the total number of shoppers without an email account (Regardless of computer access) by the total number of shoppers (300).
192/300 = 0.64
0.64 is equivalent to 64%.
I hope this helps!
Simplify (combine like terms) 4x + 2x
Answer:
6x
Step-by-step explanation:
Answer:
4x+2x= 6x
Step-by-step explanation:
When combining like terms you add the numbers with the same variable your answer is 6x
h + 9.7 = - 9.7
pls help me I'm stuck
Answer:
SimplifyingH + 9.7 = -9.7Reorder the terms:9.7 + H = -9.7Solving9.7 + H = -9.7Solving for variable HMove all terms containing H to the left, all other terms to the right.Add -9.7 to each side of the equation.9.7 + -9.7 + H = -9.7 + -9.7Combine like terms: 9.7 + -9.7 = 0.00.0 + H = -9.7 + -9.7H = -9.7 + -9.7Combine like terms -9.7 + -9.7 = -19.4H = -19.4SimplifyingH = -19.4Answer: h = - 19.4
Step-by-step explanation:
h + 9.7 = - 9.7
h + 9.7 - 9.7 = - 9.7 - 9.7
h = - 19.4
A block of ice weighs 12 tonne.
The block is a cube with side length 81cm.
Find the density of the ice.
Give your answer in kilograms per cubic metre.
Answer:
81 cm is 0.81 metre
12 tonne is 12000 kg
Volume of a cube is a^3
V=0.531441
D=M/V
=12000/0.531441
Density is 22580.11708 kg per m cube
Step-by-step explanation:
take like 10 secs. im just not smart
Answer:
A
Step-by-step explanation:
Answer:
B.
hope it helps...........
Please show the working. (Standard form)
9514 1404 393
Answer:
12.8 light-years
Step-by-step explanation:
Multiply the distance by the conversion factor.
(1.208×10^14 km) × (1 light-year)/(9.461×10^12 km)
= (1.208/9.461)×10^(14-12) light-year ≈ 12.8 light-year
_____
Additional comment
The term "standard form" in this context is somewhat ambiguous. In some parts of the world, "standard form" is "scientific notation." In that form, the distance is 1.28×10^1 light years.
please explain how you got your answer
Write the expression as a monomial in its standard form:
25a^4*(3a^3)^2
9514 1404 393
Answer:
[tex]225a^{10}[/tex]
Step-by-step explanation:
The rules of exponents apply:
(a^b)(a^c) = a^(b+c)
(a^b)^c = a^(bc)
(ab)^c = (a^c)(b^c)
__
[tex]25a^4\cdot(3a^3)^2=25a^4\cdot3^2a^{2\cdot3}=25\cdot9a^4\cdot a^6\\\\=225a^{4+6}=\boxed{225a^{10}}[/tex]
Use the equation of the line of best fit,
y = 0.94x + 7.96, to answer the questions below. X is the number of year of experience. Y is used for the hourly pay rate. Give exact answers, not rounded approximations.
(a) What is the predicted hourly pay rate for a cashier with 7 years of experience?
(b) What is the predicted hourly pay rate for a cashier who doesn't have any experience?
(C) For an increase of one year of experience, what is the predicted increase in the hourly pay rate?
Answer:
a)14.75
b)7.96
c)0.94*1+7.96
Step-by-step explanation:
a)
9 + n = 5 quel est le chiffre qui manque
Answer:
Votre réponse sera n=-4
Step-by-step explanation:
9+n=5
9-9+n=5-9 (Soustraire 9 des deux côtés)
n= -4
J'espère que cela t'aides :)
Mariah purchases three hair barrettes by using a gift card, which starts with a balance of $35.79. Which expression models her purchase? 3 b minus 35.79 35.79 + 3 b 35.79 b minus 3 35.79 minus 3 b
Answer:
35.79 minus 3 b
Step-by-step explanation:
Mariah purchases three hair barrettes by using a gift card, which starts with a balance of $35.79.
Let the number of barrettes be represented by b
She purchases 3 barrettes
Hence = 3 × b = 3b
Hence, the expression that models her purchase is given as:
$35.79 - 3b
Answer:
35.79-3b
Step-by-step explanation:
The value of the gift card 35.75 minus the cost of 3 barrettes (3b).
so 3b stands for 3 barrettes.
An equilateral triangle has three sides of equal length. How does the SSS Congruence Theorem apply to someone constructing equilateral triangles?
line k goes through the points ( 8,15) and (-4,9). if line p is parallel to line k, what is the slope of line p?
Answer:
Line p will have a slope of 1/2
Step-by-step explanation:
The slope of line k is
m = ( y2-y1)/(x2-x1)
= ( 9 -15)/(-4 -8)
= -6/-12
= 1/2
If the lines are parallel, they have the same slope
Line p will have a slope of 1/2
Step-by-step explanation:
We can find the slope of a line through the formula
[tex]\frac{y1 - y2}{x1-x2}[/tex]
Where x1 and y1 are the coordinates of the first point, and x2 and y2 are the coordinates of the second point.
So we substitute the values we are given into this formula:
[tex]\frac{15-9}{8-(-4)}[/tex]
and simplify:
[tex]\frac{6}{12}[/tex]
and simplify again:
[tex]\frac{1}{2}[/tex]
And so the slope of line k is 1/2x. Since line p is parallel to line k, the slope of line p is also 1/2x.
27 8/9 divided by 6 5/8
Answer:4 100/477
Step-by-step explanation:You need to divide it.And first you change the mixed numbers 27 8/9 and 6 5/8 to improper fraction .27 8/9 as a improper fraction is 251/ 9 . 6 5/8 as a improper fraction is 53/ 8 .ANd now you divide 251/ 9 by 53/ 8.In order to divide fractions you need to do KCF which stand for Keep ,change,flip .SO you have 251/ 9 divide 53/ 8 ,now you KEEP 251/9 ,Change the division sign to multiplication ,and flip 53/8 to 8/53.And now you multiply 251/9 by 8/53 which gives you 2008/ 477.Lastly you change 2008/ 477 which is a improper fraction to a mixed number which is 4 100/477.
Please give me the correct answer
See below
Step-by-step explanation:
[tex]A = {9}^{2} = 81 \\ \\ A = {12}^{2} = 144 \\ \\ x = \sqrt{81 + 144} \\ \\ = \sqrt{225} \\ \\ = 15\\\\A = {15}^{2} = 225 [/tex]
help fast i’ll mark brainliest
Percents
Michael is leaving a 15% tip for his waitress. What percent of the
original price will he pay? Write your answer as a percent, decimal,
and fraction.
Answer:
115%, 1.15, 115/100
Step-by-step explanation:
Find the missing side length, N.
We know these triangles are congruent with the missing side, N would be equal to 15.
What is the congruent triangle?Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.
We know these triangles are congruent.
To find the missing side, N
ΔABC ≅ΔQRS
AC/QS = BC/RS
2/5 = 6/n
n = 6 x 5/2
n = 30/2
n = 15
Thus, the value of N is 15.
Learn more about triangles;
https://brainly.com/question/2773823
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Help Help Help meeeeeeeeeeeeeee pleasee with math thank you
Answer:
b
Step-by-step explanation:
i got it right oon plato
Answer:
it should be y= 5x + 5 or y= 15x + 5
Step-by-step explanation:
I had something similar like a week ago and I am 100% its one of those
if 9 calculators cost £96.30. How much do 13 calculators cost
Step-by-step explanation:
First, you want to start by creating an equation to find the unit rate
calculators = c
9c = 96.30
Solve!!!
9c/9 = 96.3/9
c= 10.7
A calculator costs $10.70 (Sorry I will be using the dollar sign instead)
Now you want to set an expression for 13 calculators
13c
Substitute 10.7 in
13(10.7)
Multiply them
$139.10
13 calculators cost $139.10
I hope this helps!!!
Which equation in point slope form describes the line that passes through (3,-5) and has a slope of 2?
Answer:
y + 5 = 2(x - 3)
General Formulas and Concepts:
Algebra I
Point-Slope Form: y - y₁ = m(x - x₁)
x₁ - x coordinate y₁ - y coordinate m - slopeStep-by-step explanation:
Step 1: Define
Point (3, -5)
Slope m = 2
Step 2: Write equation
Substitute in variables into the general form.
y + 5 = 2(x - 3)
Morgan is a real estate agent and most recently made $12,500 on the sale of a home. Her commission she earns in selling homes is 12%. What was the sale price of the home that Morgan sold? Round to the nearest dollar amount
Answer:
$104,167 approx.
Step-by-step explanation:
Step one:
Given data
Morgan made $12,500 on the sale of a home.
Her commission she earns in selling homes is 12%
Step two:
let the cost of the home be x
So 12% of x= 12,500
12/100*x= 12,500
0.12*x=12,500
0.12x=12,500
divide both sides by 0.12
x= 12,500/0.12
x=$104,166.66
x=$104,167