The equation of the line that passes through the point (8, -4) and is parallel to the line x - 4y = 12 is x - 4y = - 8.
Two lines with slopes m₁ and m₂ are parallel when m₁ = m₂ and perpendicular when m₁*m₂ = -1.
In the question, we are asked for the equation of the line that passes through the point (8, -4) and is parallel to the line x - 4y = 12.
The given line can be shown as:
x - 4y = 12,
or, - 4y = - x + 12,
or, y = x/4 - 12/4,
or, y = x/4 - 3.
Comparing it to the slope-intercept form of a line, y = mx + b, we get the slope, m = 1/4.
The line parallel to this will also have the slope, m = 1/4.
The required line passes through the point (8, -4).
Using the one-point formula, (y - y₁) = m(x - x₁), we can write the required equation as:
y - (-4) = (1/4)(x - 8),
or, y + 4 = x/4 - 2,
or, y = x/4 + 2,
or, x/4 - y = -2,
or, x - 4y = - 8.
Thus, the equation of the line that passes through the point (8, -4) and is parallel to the line x - 4y = 12 is x - 4y = - 8.
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Randy chose B as the correct answer.How did he get that answer?
Find the exact length of the third side.
8
6
Answer:
10
Step-by-step explanation:
The triangle in the pic is a right-angled triangle. And in right-angled triangles , Pythagorean Theorem. So , according to Pythagorean Theorem
[tex]Base^{2} +Perpendicular^{2} =Hypotenuse^{2}[/tex] where 'c' is the hypotenuse and 'a' & 'b' are the other two sides.
Using Pythagorean Theorem ,
[tex]Hypotenuse^{2} = 8^{2} +6^{2} =64+36=100\\=>Hypotenuse = \sqrt{100} =10[/tex]
Order from least to greatest, (15 points) and brainy award.
Answer:
pi/2 ... 2pi -square root 9..... and then pi +3
Step-by-step explanation:
pretty much the opposite of what it is now
an airline added another city stop to its schedule between cheyenne and burlington. the measured distance between cheyenne and burlington is 1352 miles. the distance between the new city stop and burlington is 606 miles. cheyenne, the new city stop, and burlington are all collinear. how far is the new city stop from cheyenne?
Answer:
746
Step-by-step explanation:
Based on the given conditions, formulate: 1352 - 606
Calculate the sum of difference: 746
Answer: 746
Please help i will give u brainliest
The value of AG is 37cm
How to determine the valueFrom the diagram shown, we have that;
AG = 3x + 3GB = 11x + 6AB = 166cmBut;
AG + GB = AB
Let's substitute the values
3x + 3 + 11x + 6 = 166
collect like terms
3x + 11x + 9 = 166
14x = 166 - 9
14x = 157
Make 'x' the subject
x = 157/ 14
x = 11. 2cm
But line AG = 3x + 3 = 3 ( 11. 2) + 3 = 33. 6 + 3 = 37cm
Thus, the value of AG is 37cm
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8x10^3 is how many times as large as 4x10^2
Answer:
(3.2 × 10²) times as large
Step-by-step explanation:
First, set up an equation:
(8 × 10³) ÷ (4 × 10²)
Using the laws of exponents, we know that when two exponents with the same base are being divided by each other, the exponents subtract from each other:
(8 × 4) × (10³⁻²) = (32 × 10¹)
Move the decimal one space to the left, which increases the exponent by 1:
(3.2 × 10²)
Hope this helps!
Mrs. Juarez is buying cleaning supplies for her company. The first brand, Mr. Clean, is selling 64 wipes for $3.20. Clorox has a deal for 72 wipes at the cost of $4.32. What is the unit price of the better buy?
Answer:
Mr. Clean has a slightly better buy
Step-by-step explanation:
In the first round of a card game, Niki scored 20 points. Then, she lost 10 points on one turn and an additional 25 points on her final turn. Part A Choose the number line that shows the change in Niki's score.
Full question :
Nthe first round of a card game, niki scored 20 points. then, she lost 10 points on one turn and an additional 25 points on her final turn. part a choose the number line that shows the change in niki’s score.
a. number line from -20 to 20. start at -20. count up by 5. 3 arrows are shown above the number line. 1st from 0 to -20, 2nd from -20 to -10 and 3rd from -10 to 15.
b. number line from -20 to 20. start at -20. count up by 5. 3 arrows are shown above the number line. 1st from 20 to 0, 2nd from 0 to -10 and 3rd from -10 to 15.
c. number line from -20 to 20. start at -20. count up by 5. 3 arrows are shown above the number line. 1st from 0 to 20, 2nd from 20 to -5 and 3rd from -5 to 5.
d. number line from -20 to 20. start at -20. count up by 5. 3 arrows are shown above the number line. 1st from 0 to 20, 2nd from 20 to 10 and 3rd from 10 to -15.
part b what is niki’s final score? enter your answer in the box. points
Answer:
d. number line from -20 to 20. start at -20. count up by 5. 3 arrows are shown above the number line. 1st from 0 to 20, 2nd from 20 to 10 and 3rd from 10 to -15.
Step-by-step explanation:
The number line given run from -20 to +20 and so we record Niki's losses and wins using the negative numbers and positive numbers respectively. If Niki wins(scores 20 points) we add, that is a positive number on the number line. If Niki loses(loses 10 and 25 points) we subtract from her positive number using the negative values(points missed) on the number line. If we do this, Niki's value on the number line ends up at -15
To get Niki's final score, we calculate hence
+20-10-25 = -15 points
The ratio of boys to girls in Mr. Johnson’s class is 3:5. If there are 32 students in his class, how many of these students are girls? Write equation and solve.
Answer:
12:20
Step-by-step explanation:
3 : 5 = 3x : 5x = 32
3x + 5x = 8x = 32
x = 32/8 = 4
3x = 3x4 = 12
5x = 5x4 = 20
so there are 12 boys and 20 girls
A group of seven golfers paid $345 to play a round of golf. Of the golfers, one is a member of the
club and six are nonmembers. Another group of golfers consists of one member and three
nonmembers. They paid a total of $180. What is the cost for a member to play a round of golf,
and what is the cost for a nonmember?
Part 1 out of 2
The cost per member is S
Answer:
member = 15
nonmember = 55
Step-by-step explanation:
m = member, n= nonmember
1m+6n=345
2m + 2n =140 (divide all by 2 )
m + n = 70
m= 70 - n
70-n + 6n =345
70 + 5n = 345
5n = 345-70
5n = 275
n = 275÷5
n = 55
m = 70 - 55 = 15
m=15
Step-by-step explanation:
it takes joan 5h to paint the porch, while jan can do it in 4h. how long will it tae them working together
It will take them 2 hours and 22 minutes to working together.
Here,
Joan paint the porch in 5 hours.
Jan can take 4 hours to paint the porch.
We have to find the time to take them working together.
What is Fraction?
A fraction simply tells us how many parts of a whole we have.
Now,
Let x is number of hours to take them working together.
Then, 1/x is how much of the porch they can paint together in 1 hour.
Joan paint the porch in 5 hours.
Then, Joan can take 1 hour to paint the 1/5 part of porch.
Jan can take 4 hours to paint the porch.
Then, Jan can take 1 hour to paint the 1/4 part of porch.
To find how much of the porch they can paint together in 1 hour, we can add together;
[tex]\frac{1}{5}+ \frac{1}{4} = \frac{1}{x} \\\\\frac{4+5}{20} = \frac{1}{x} \\\\\frac{9}{20} = \frac{1}{x}\\\\x = 20.22[/tex]
Hence, It will take them 2 hours and 22 minutes to working together.
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what does the ordered pair (6,204) represent
Answer:
I can answer the question, but represent in what? Do u got a picture or example or sum?
(8.1 + 7.9)x – (25 ÷ 5)x
will give brainliest!
Answer:
-80
Step-by-step explanation:
( 8.1 + 7.9 ) × ( -25 ÷ 5 )
= 16 × ( -5 )
= -80
don't forget to mark this ans branliest
Answer:
11x is the answer.
Step-by-step explanation:
( 8.1 + 7.9 )x - ( 25 ÷ 5 )x
= 16x - 5x
= 11x
hope this answer will help you.
have a great time
Identify the type of function represented by f(x)= 3/8(4)^x
Answer:
It is an exponential function
Step-by-step explanation:
We have the following function:
f (x) = 3/8 (4) ^ x
The function is of the form:
f (x) = A (b) ^ x
Where,
A: initial amount
b: growth factor (b> 1)
x: time variable.
Answer:
f (x) = 3/8 (4) ^ x
It is an exponential function of the form:
f (x) = A (b) ^ x
600 can be written as 2^a x b x c^d. where a, b, c and d are all prime numbers. find the values of a, b, c and d
Answer:
easy one
Step-by-step explanation:
first factorise 600 as 2*2*2*3*5*5
then write as 2^3 * 3*5^2= 2^a*b*c^d
equating corresponding elements as a=3
b=1and c= 2 is the answer
What is 10and 1 half divided by 7 eights
Answer:
12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
10 1/2 / 7/8= 12
Select Is a Function or is not a Function to correctly,classify each relation
Title
Is a Function
Is not a Function
{(3, 7),(3, 6), (5, 4),(4,7)}
{(1,5),(3,5),(4, 6),(6,4)}
{(2, 3),(4,2),(4, 6),(5, 8)}
{(0,4),(3, 2),(4, 2), (6,5)}
Answer:
1) not a function
2)function
3)not a function
4)function
liliana decides to crop a square photo 2 inches on each side to fit it into a frame. the area of the original photo was 121 square inches. in the equation (x 2)2
The dimensions of the cropped photo will be 9 inches by 9 inches
Step-by-step explanation:
From the formula of area of square
Length x width = area
[tex]x^{2}[/tex] = area
But we are given the equation as
[tex](x+2)^{2}[/tex] = 121
The equation gives the measures of the cropped dimension as "x". This means we need to solve the equation
[tex](x+2)^{2}[/tex] = 121
[tex]x^{2}[/tex] + [tex]2^{2}[/tex] + 2(x) (2) = 121
[tex]x^{2}[/tex] + 4 + 4x = 121
[tex]x^{2}[/tex] + 4x -117 = 0
[tex]x^{2}[/tex] + 13x - 9x -171 = 0
x( x+13) -9 (x+13) = 0
(x+13)(x-19) =0
This means
x = 9, -13
Since, dimension can't be negative. So, the measure of dimension would be 9 inches by 9 inches
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The question is incomplete. Therefore, complete question is
Liliana decides to crop a square photo 2 inches on each side to fit it into a frame. The area of the original photo was 121 square inches. In the equation [tex](x+2)^{2}[/tex] = 121, x represents the side measure of the cropped photo. What are the dimensions of the cropped photo
8 inches by 8 inches
9 inches by 9 inches
12 inches by 12 inches
13 inches by 13 inches
what’s the equation for 8 and 9 i need the answer asap
Answer:
see explanation
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
(8)
with (x₁, y₁ ) = (- 3, 2) and (x₂, y₂ ) = (8, 2)
m = [tex]\frac{2-2}{8+3}[/tex] = [tex]\frac{0}{11}[/tex] = 0
A slope of zero indicates the line is horizontal and parallel to the x- axis with equation
y = c
where c is the value of the y- coordinates the line passes through
The line passes through (- 3, 2) and (8, 2) with y- coordinates 2, thus
y = 2 ← equation of line
(9)
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
with (x₁, y₁ ) = (- 6, 1) and (x₂, y₂ ) = (- 3, 2)
m = [tex]\frac{2-1}{-3+6}[/tex] = [tex]\frac{1}{3}[/tex] , then
y = [tex]\frac{1}{3}[/tex] x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (- 3, 2) , then
2 = - 1 + c ⇒ c = 2 + 1 = 3
y = [tex]\frac{1}{3}[/tex] x + 3 ← equation of line
Evaluate the function G(-2)=4x-3
a added to 25 equals 172
Answer:
147+25=172
Step-by-step explanation:
Have a nice day!
Brainliest me pls
Answer:
A = 147
Step-by-step explanation:
A + 25 = 172
subtract 25 from both sides
A + 25 - 25 = 172 - 25
A = 147
A pizza shop offers a coupon for 30% off the price of a large pizza every Tuesday night if the regular price is $25 what is the final price after the coupon
Is Figure A’B’C’D a reflection of figure ABCD ? A: yes it is a reflection over the x-axis. B: yes it is a reflection over the y-axis. C: yes it is a reflection over line f. D: no it is not a reflection
A’B’C’D' will be a reflection of figure ABCD about line f
what is a reflection about a line?A reflection over a line l(notation l) is a transformation in which each point of the original figure (pre-image) has an image that is the same distance from the line of reflection as the original point but is on the opposite side of the line.
reflection of point D will be D' if the distance between point D and line f is the same as the distance between point D' and line f
let us consider point (10,0) on line f for our convenience. we will calculate each distance from this point (10,0)
distance is 2 units from both the points D and D'
reflection of point C will be C' if the distance between point C and line f is the same as the distance between point C' and line f
distance of point C from line f= distance of point C' from line f
[tex]\sqrt{(14-10)^2 + (-2-0)^2} = \sqrt{(10-8)^2+ (4-0)^2} =\sqrt{20}[/tex]
similarly, point A and B will also be equidistant from line f
therefore, A’B’C’D' will be a reflection of figure ABCD about line f.
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rofit stefon charges people $25 to test the air quality in their homes. the device he uses to test air quality cost him $500. the function y
The function to determine the gross cost he earns to test the air quality in their homes can be given by Y=500+25X.
What is a function?
An expression, rule, or law in mathematics that specifies the relationship between an independent variable and a dependent variable (the dependent variable). In mathematics and the sciences, functions are fundamental for constructing physical relationships.A function consists of three components: a collection of inputs, a collection of outputs, and a constraint that links the components of the input set to the members of the output set so that each entry is paired with exactly one output.The function to determine the gross cost he earns to test the air quality in their homes can be given by,
Y=500+25X
where X is the no. of homes he tested and y is the gross cost.
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Is the relation y = 3x - 5 a function? Justify the answer.
Answer:
yes
Step-by-step explanation:
use the vertical line test
9.42 in word form i need it ples
Answer:
nine point four two
Step-by-step explanation:
have a nice day
Answer:
nine and forty-two hundredths
Step-by-step explanation:
my dinner table is 3m long and 1.5m wide. i want to put festive ribbon all around the outside. what length of ribbon should i buy in metres
Write a word problem including a submarine a depth of 60 feet and a time interval
Using different scenerios and situations from real life, we can create as many world problems as we want.
What is Word problem in Mathematics?A word problem is a few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.
Given is a task to write a word problem including a submarine, depth of 60 feet and a time interval.
A world problem including submarine, depth of 60 feet and a time interval can be written as -
A submarine using SONAR detected a sea floor 60 ft beneath it. It was observed that time taken by sound pulse to to reach the sea floor and reflect back to submarine is 3 sec. Calculate the speed of sound pulse transmitted by the SONAR.
Therefore, using different scenerios and situations from real life, we can create as many world problems as we want.
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What is the value of h(3)?
-2
-1
1
2
Complete the function table below for the function F(x) = 5x-7.
X1 2 3 4
FX)-2
The numbers in the second row of the completed table make an arithmetic
sequence.
A. True
B. False