Answer:
−r+6w−96
Step-by-step explanation:
Answer
-r+6w-96
Step-by-step explanation:
Match the equations to the lines below :
y = 1/2x - 1
y= -1/2x + 1
y= 1/2x + 1
y= -2x - 1
y= 2x - 1
y= -1/2x - 1
A new linear road is planned to be constructed perpendicular to an existing one. On a representative grid, a surveyor determines that the existing linear road passes through the points LaTeX: (4,7)( 4 , 7 ) and LaTeX: (2,15)( 2 , 15 ). The roads must intersect at the point LaTeX: (4,7)( 4 , 7 ).
(a) Determine the slope of the new road.
(b) Determine the equation of the new road.
a) The slope of the new road is given by m = -4
b) The equation of line is y = -4x + 32
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let the first point be represented as P ( 4 , 7 )
Let the second point be represented as Q ( 2 , 15 )
Now , the slope is m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 15 - 7 ) / ( 2 - 4 )
Slope m = 8 / -2
Slope m = -4
Now , the equation of line is y - y₁ = m ( x - x₁ )
Substituting the values in the equation , we get
y - 4 = ( -4 ) ( x - 7 )
On simplifying the equation , we get
y - 4 = -4x + 28
Adding 4 on both sides of the equation , we get
y = -4x + 32
Hence , the equation of line is y = -4x + 32
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2) Simplify: 2a + 3b - 4a + 5c - 2b
Answer:
-2a+b+5c
Step-by-step explanation:
I am going to pay $44 for a pack of awesome color pencils. The tax is 6%. How much is the taxes going to be?
Answer:
2.64 sales tax
Step-by-step explanation:
hope i helped you
Is three fourths more than three eights
Answer:
yes
Step-by-step explanation:
not sure how to explain it's kinda hard sorry
Answer:
Yes
Step-by-step explanation:
True or false. Natalie cuts a ribbon 4/5 m long into 8 pieces of equal length. Each piece is 2/5 m.
Answer:
False
Step-by-step explanation:
(4/5) / 8 does not equal 2/5. It would be 1/10.
2. Find the missing variable
(2x + 5)
(x + 9)
(3x - 2)
Lillian and Isabella went shopping for school supplies. Lillian found her favorite notebook on sale so she bought three of the exact same notebook. Isabella also wanted a notebook. She bought one of the same notebooks that Lillian bought. Both girls started shopping with the same amount of money. If Lillian spent all of her money and Isabella had $5 left, how much money did each girl have when she arrived at the store? please show your work/steps
Answer:
Each girl had $7.50 when they arrived.
Step-by-step explanation:
We have to figure out what c (cost of each notebook) is first before we find out how much money each girl had. We also know they have the same money, so both sides are connected. The equation should be: 3x = x + 5.
3x = x + 5
First, subtract x from both sides. This cancels out the addition by x.
3x - x = 5
Now, subtract x from 3x. This equals 2x.
2x = 5
To cancel out the multiplication by 2, divide both sides by 2.
x = 5/2
Lastly, divide 5 by 2 to get 2.5.
x = 2.5
Substitute x for 2.5 in the earlier equation (3x = x + 5)
3(2.5) = 2.5 + 5
First, multiply 3 by 2.5 to get 7.5.
7.5 = 2.5 + 5
Add 2.5 to 5 to get 7.5.
7.5 = 7.5
Both sides are equal so we have our answer. So, both girls had $7.50 when they arrived at the store.
what number must you add to complete the square?
x^2+14x=3
Answer: 49
Step-by-step explanation: In order to complete the square, you need a perfect square trinomial on the left side of the equation.
The question is, what is the number we need?
Well it comes from a formula. The number that is added to both sides
comes from half the coefficient of the middle term squared.
So that's half of 14 which is 7, squared which is 49.
A radioactive substance decays at a rate of 3.4% per day. If it starts at 200 grams, how
many days will it take for the substance to decay to less than 150 grams?
Answer: 9
Step-by-step explanation:
Since the percent is decaying, you subtract 3.4 from 100, which gets you 96.6
200(0.966)^9 gets you 146.5 which is less than 150
Which of the following is a verbal
description of this expression?
2 – 3
B
А
Three less
than a number
An unknown
quantity less
than three.
Answer: Three less than a number
Step-by-step explanation: z-3 means the three is subtracted from the unknown number.
An unknown quantity less than three. would be 3 - z or z < 3
Answer:
A.) Three less than a number
Step-by-step explanation:
Write an equivalent
measure in yards to to
126 in.?
1 ft = 12 in.1 yd = 3 ft
r f(x)
--2-1
-11-3
0-5
1-7
Which function rule defines f(x)?
Answer:
B. f(x) = -2x - 5
Step-by-step explanation:
✔️Find the rate of change:
Rate of change using two of the given pair, say (0, -5) and (1, -7)
Rate of change (m) = ∆f(x) / ∆x = (-7 -(-5)) / (1 - 0) = -2/1 = -2
✔️Find y-intercept (b):
y-intercept (b) = -5 because the y-intercept is the value of f(x) when x = 0.
✔️Substitute m = -2 and b = -5 into f(x) = mx + b
Thus,
f(x) = -2x + (-5)
f(x) = -2x - 5
At the Denver International Airport, planes must clear a mountain that is 1000 feet tall that is a horizontal distance of 2800 feet away. At what angle of elevation must the plane take off in order to safely clear the mountain ? Round your answer to the nearest WHOLE degree.
PLEASE i need help
Answer:
19 degrees
Step-by-step explanation:
Will have a triangle with horizontal distance being 2800, and vertical being 1000 feet. Angle between the horizontal and hypotenuse is what we are looking for.
Thus it's a tangent function.
SOH
CAH
TOA <-----
Tangent is the opposite / adjacent
So we will be looking at doing an Arctan to find the angle.
Arctan α = [tex]\frac{1000}{2800}[/tex] = 19.29 degrees. Round to the nearest whole degree would be 19 degrees due to being less than .50
Your answer is 19 degrees
Do the indicated operation: Express your answers in the lowest terms
x/2+x/5
Answer:
7x/10
Step-by-step explanation:
Is this expression equivalent to 1.5?
0.15 / 10
(0.15 divided by 10)
Answer:
False
Step-by-step explanation:
0.15/10 equals 0.015
Recall that the volume of a sphere is given by the formula V = 4/3pi to the 3rd
1. Here is a sphere with radius 4 feet. What is the volume of the sphere? Express your answer in
terms of pi.
2. A spherical balloon has a diameter of 4 feet. Approximate how many cubic feet of air this
balloon holds. Use 3.14 as an approximation for it, and give a numerical answer
9514 1404 393
Answer:
1. (256/3)π ft³
2. 33.49 ft³
Step-by-step explanation:
1. Put 4 ft into the formula where r is, then simplify.
V = (4/3)π(4 ft)³ = (256/3)π ft³
__
2. The radius is half the diameter, so is 2 ft. Put that in the formula, along with the value for π, and do the arithmetic.
V = (4/3)(3.14)(2 ft)³ ≈ 33.49 ft³
-52=-0.8k need a answer
Answer:
k is 65
Step-by-step explanation:
isolate the variables by dividing each side by factors that don't contain the variable
A person places $7120 in an investment account earning an annual rate of 7.4%, compounded continuously. Using the formula V = Pe^rt where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 11 years.
Answer:
16069.25
Just know that
P=Is the first number in the word prob.
R=the second number (percentage one) which you get into decimal form
T=the last number in the word problem
14. Given f(x) = x - 3 and g(x) = 4x, find g(f(6)).
A. 3
B. 21
Cu 12
D. 24
9514 1404 393
Answer:
C. 12
Step-by-step explanation:
g(f(6)) = g(6 -3) = g(3) = 4(3)
g(f(6)) = 12
Which statement about the simplified binomial expansion of (a – b)n, where n is a positive integer, is true?
Answer:
A on Edge 2021 ;))
Step-by-step explanation:
All terms of the expansion are positive.
The true statement is all terms of the expansion are positive.
What are binomial expansions?Binomial expansions are expansions of expressions that have two terms
The expression is given as:
[tex](a - b)^n[/tex]
This means that the expression (a - b) is to be multiplied by itself, n times.
Hence, all terms of the expansion are positive.
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If there are two boys to every three girls, what percent of the class is girls?
Solve the System of Equations using Substitution.
-3x+2y=12
x=2y-8
Answer:
(-2,3)
Step-by-step explanation:
x=2y−8;−3x+2y=12
x=2y−8
−3x+2y=12
−3(2y−8)+2y=12
−4y+24=12
−4y+24+−24=12+−24
−4y=−12
-4y=-12
y=3
x=2y−8
x=(2)(3)−8
x=−2
Students in a large district's two high schools are offered a "Second Breakfast' program after their first-period class.
The district's nutrition manager is interested in determining if the program is effective. He takes two independent
random samples of days from the previous years, 20 from high school A and 15 from high school B, and calculates
the mean amount of money, in dollars spent for the program. Which of the following statements concerning the
variability of the sampling distribution of the sample mean is correct?
Answer:
A
Step-by-step explanation:
Random samples of days from the previous years, 20 from high school A and 15 from high school B, and calculates
What is the Nutrition?
Nutrition is the study of food and how it works in your body. Nutrition includes all the stuff that's in your food, such as vitamins, protein, fat, and more. It's important to eat a variety of foods, including fruits, vegetables, dairy products, and grains, so you have what you need to grow and be healthy.
How to determine?Students in a large district's two high schools are offered a "Second Breakfast' program after their first-period class.
Random samples of days from the previous years, 20 from high school A and 15 from high school B, and calculates
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Liam opened a savings account with a $400 deposit and a simple interest rate of 7.5%. If the balance of the account is now $670 and there are no deposits or withdraws, how long ago did he open the account?
Answer:
If he deposited weekly, he would be depositing 9 dollars each week.
Step-by-step explanation:
Just thank me later and click the crown at the top of this answer if it helped ;)
What is the value of the constant in the equation that relates the height and
width of this rectangle?
Answer:
10 over=5
i asked this quetion
Answer:50
Step-by-step explanation:
The distance between point A and point B is 2 1/2 units. Which number could represent point B?
A)-30. B)2.5. C)-2.0. D)3.5
-7/8+(-1/8)=
-1. 4/9+(-2. 2/3)=
-1. 2/3+(-2. 1/3)=
Пожалуйста помогите 20 балов!!!!
How many cubes would it take to fill the box
Answer:
27359265815502254
Step-by-step explanation:
52758552
Evaluate m + 7.5 when m = 8.6
Answer:
16.1
Step-by-step explanation: