Write an equation of the line passing through the point (7, 3) that is parallel to the line 4x−7y=9.
Answer:
The equation of the line is y = 4x/7 - 1
Step-by-step explanation:
The equation of a straight line can be represented by
y = mx + c
where m represents the slope and c represents the y-intercept
So for;
4x - 7y = 9
7y = 4x - 9
y = 4x/7 - 9/7
The slope here is 4/7
Since the line we are trying to form is parallel, then the slope of the line is 4/7 also, since parallel lines have equal slope
So the equation of the new line will be;
y = 4x/7 + c
To get c, just put the point x = 7 and y = 3
3 = 4/7(7) + c
3 = 4 + c
c = 3-4
c = -1
So the equation of the line is;
y = 4x/7 - 1
Please help me with this I will mark you brainliest
AC=4.26 cm
Hope this helps you
Is 1.43 grater than, less than, or equal to 1.043?
1.43 1.043?
1.43=1.043?
Please help!
Answer:
greater than
Step-by-step explanation:
What is the equation of
Slope is 0, y - intercept is 5
I need help bad I'm stuck
Answer:
All Real Numbers
Step-by-step explanation:
Ok so domain is x and x is going through 0 and you are going from -♾ to ♾ which is everything so all real numbers
The temperature fell from 0 degrees farenheight to 6 3/5 in 2 1/5 hours. What was the temperature change per hour?
A. -3
B. -4 2/5
C. 3
D. 4 2/5
Answer with step-by-step explanation:
C: 3
This is because 6 3/5 is a positive number, and 6 3/5 ÷ 2 1/5 = 3
Hope this was helpful! (brainliest please)
1. Select all of the true statements.
A. Pi is the area of a circle of radius 1.
B. Pi is the area of a circle of diameter 1.
C. Pi is the circumference of a circle of radius 1.
D. Pi is the circumference of a circle of diameter 1.
E. Pi is the constant of proportionality relating the diameter of a circle to its circumference.
F. Pi is the constant of proportionality relating the radius of a circle to its area.
We want to see which of the given statements about the number pi are true.
The correct options are: a, d, and e.
First, let's talk a little bit about the number pi.
The irrational number pi is defined as the quotient between a circle's circumference and its diameter.
So if we know that a circle has a diameter D, the circumference of that circle is given by:
C = pi*D
Now let's analyze each option to see which ones are true.
a) "Pi is the area of a circle of radius 1."
The area of a circle of radius R is given by:
A = pi*R^2
So if the radius of this circle is R = 1. we have:
A = pi*1^2 = pi
So the area of this circle is pi, thus the statement is true.
b) "Pi is the area of a circle of diameter 1."
The diameter is twice the radius, so the radius of this circle is 0.5, we know that pi is the area of a circle of radius 1, not a circle of radius 0.5, so this is false.
c) "Pi is the circumference of a circle of radius 1."
The circumference of a circle of radius R is given by:
C = pi*2*R
If the radius is equal to 1 we have R = 1, then:
C = pi*2*1 = 2*pi
The circumference of this circle is 2*pi, not pi, so this is false.
d) "Pi is the circumference of a circle of diameter 1."
We know that the circumference of a circle of diameter D is:
C = pi*D
So if D = 1, we have:
C = pi*1 = pi
So the circumference of this circle is equal to pi, thus, this statement is true.
e) "Pi is the constant of proportionality relating the diameter of a circle to its circumference."
A proportional relation is:
y = k*x
where k is the constant of proportionality.
The relation between the circumference is given by:
C = pi*D
So yes, pi is the constant of proportionality, this is true.
F) "Pi is the constant of proportionality relating the radius of a circle to its area."
The area equation is:
A = pi*R^2
note that the radius is squared, so this is not a proportional relation, then the statement is false.
Finally, we can conclude that the true statements are:
a, d, e.
If you want to learn more, you can read:
https://brainly.com/question/7135052
f(x)= 1/x, vertically stretched by a factor of 7, reflected in the y-axis, translated 5 units to the right, and translated 3 units downward.
Answer:
-7/(x-5) - 3
Step-by-step explanation:
First off, to reflect an equation in the y axis, just multiply by -1. Now that it is reflected, to stretch an equation by a factor of 7, multiply it by 7. Now we have -7/x.
Then, to move an equation down by 3 units, simply subtract it by 3. Now we have -7/x - 3.
Lastly, since you want to translate it 5 units to the left, you want the equation to be undefined at x = 5 (because originally it is undefined at x = 0). To do that, set the denominator to x - 5. We arrive at our answer: -7/(x-5) - 3.
Using translation concepts, it is found that the new definition for the function is:
[tex]g(x) = -\frac{7}{x - 5} - 3[/tex]
----------------------------
The parent function is:
[tex]f(x) = \frac{1}{x}[/tex]
A vertical stretch by a factor of a means that the function is multiplied by a.Factor of 7, thus:[tex]g(x) = 7 \times \frac{1}{x} = \frac{7}{x}[/tex]
Reflection over the y-axis means that we have g(-x), thus:[tex]g(-x) = \frac{7}{-x} = -\frac{7}{x}[/tex]
Translating a units to the right is g(x - a), 5 units, thus:[tex]g(x) = -\frac{7}{x - 5}[/tex]
a units downward means that a is subtracted from the function, 3 units, thus:[tex]g(x) = -\frac{7}{x - 5} - 3[/tex]
A similar problem is given at https://brainly.com/question/19383602
Solve for h.
7a = -9 + 2h
Answer: h = 7a + 9 divided by 2
Do supplementary angles always form a straight line
Answer:
Yes
Step-by-step explanation:
Supplementary angles are a set of angles that always add up to 180 degrees.
Find the root of 5x-20=0
Answer:
x=4
Step-by-step explanation:
5x-20=0
+20 +20
5x=20
5 5
x=4
Add 20 to both sides cancelling out the left side.
Than you divide 5 leaving the x on one side and 20 over 5 which is 4
What is the slope of this graph
PLEASE help!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer: 11
Step-by-step explanation: 5x-15= 3x+7
Combine like terms: 2x= 7+15
Add = 2x= 22
Divide: equals 11
give the correct answer
Solve all questions to get brainliest
Let me translate it to English before I answer your question.
Hello friend, how are you? Today I want to write about my schedule of classes.
My classes start at seven thirty in the morning. I have five classes everyday. My math class, it starts at seven thirty. Then a biology class and it starts at half past nine. I have a twenty minute break at noon. It starts at half past seven. I always have soccer practice after school, but today I have to come home early because I have to study for the biology test. Take care.
First answer: 20 mins
Second answer: 7:30
Third answer:7:30
Fourth answer:9:05
Hope this helps you!!
Stay safe.
help , this is a big grade.
Answer:
-8
Step-by-step explanation:
looked it up on the internet
While attending a baseball game, Eva buys hamburgers and hotdogs for her family. The number of hotdogs bought is five more than the number of hamburgers bought. Hamburgers cost $6.25 each and hotdogs cost $3.75 each. Eva spent a total of $58.75 on the hamburgers and hotdogs.
a) let n be the number of hamburgers Eva bought. Set up an equation that models the information given in the problem
b) how many hamburgers did Eva by?
I need a answer by Monday
Answer:
Number of hamburgers bought = 4
Number of hotdogs bought = 9
Step-by-step explanation:
Let
Number of hamburgers bought = n
Number of hotdogs bought = n + 5
Hamburgers cost = $6.25
Hotdogs cost = $3.75
Total cost = $58.75
6.25n + 3.75(n + 5) = 58.75
Open parenthesis
6.25n + 3.75n + 18.75 = 58.75
Collect like terms
6.25n + 3.75n = 58.75 - 18.75
10n = 40
Divide both sides by 10
n = 40 / 10
= 4
n = 4
Number of hamburgers bought = n = 4
Number of hotdogs bought = n + 5
= 4 + 5
= 9
Twice a number plus four equals six
Step-by-step explanation:
Let say the unknown number we dont know is x
2x+4=6
2x=6-4
2x=2
x=2/2
x=1
So the unknown number is 1
x+(y+z) = (x+y) + z is the example of what property?
The king gave Ron 6 gold coins.
He gave Polly 3 fewer coins than he gave Ron.
How many coins did Polly get?
Answer:
3 gold coins
Step-by-step explanation:
6 minus 3 is 3
The cost y (in dollars) of renting a segway for x hours is y=30x+25. Find the initial fee and the cost per hour.
Given:
The cost y (in dollars) of renting a segway for x hours is
[tex]y=30x+25[/tex]
To find:
The initial fee and the cost per hour.
Solution:
We have,
[tex]y=30x+25[/tex] ...(i)
The slope intercept form of a linear equation is
[tex]y=mx+b[/tex] ...(ii)
where, m is slope is b is y-intercept or initial value.
From (i) and (ii), we get
[tex]m=30,b=25[/tex]
The value of m is 30, so the slope is 30. It means cost per hour is $30.
The value of b is 25, so y-intercept is 25. It means the initial fee is $25.
Jeremy combines 7.28 liters of red paint with 8.06 liters of blue paint to make purple paint. He pours the paint equally into 4 containers, and has 1.58 liters of paint left over. How many liters of paint are in each container?
(use tape diagram to solve)
Answer:
7.67 liters
Step-by-step explanation:
Sanjay picked p peaches. Zach picked 17 times as many peaches as Sanjay. Write an expression that shows how many peaches Zach picked.
Type an asterisk ( * ) if you want to use a multiplication sign and a slash ( / ) if you want to use a division sign.
Answer:
17p
Step-by-step explanation:
Since you don't know how much Sanjay picked you can only explain as a variable. So just put 17 next to p which is 17*p
Write the equation of the line that passes through the point (4, 3) and has a slope of
5/4.
y = 5/4x + 17
y = 5/4x - 2
y = 5/4x - 8
y = 5/4x + 1/4
Need HELP now please! It’s for my HW that’s due! I will mark BRAINLIEST to the RIGHT ANSWER!
Answer:
The first should be (x+6, y-(-10).
The others, not sure but you have to plug them in.
Answer:
See attached
Step-by-step explanation:
The form is filled in and attached
Solve for d in the proportion.
10/15 equals d/12
Answer:
8
Step-by-step explanation:
Since there are two fractions, it is easiest to cross multiply the fractions before doing anything else. Basically:
10/15 = d/12 becomes 120 = 15d.
then you just divide 15 to both sides to get your answer:
d = 120/15, which is the equivalent of d = 8.
What are the properties used to solve 4(x+3)=20
Answer:
Multiproperty
Step-by-step explanation:
To solve this problem, we use different properties to arrive at our answer.
Given expression;
4(x + 3) = 20;
First we use the distributive property to expand;
4x + 12 = 20
Now use subtraction property by adding (-12) to both sides;
4x + 12 + (-12) = 20 + (-12)
4x = 8
you can now divide by 4,
x = 2
Simplify: (2x - 5y)(7x-2y)
help plz
Answer:
14x+10y
Step-by-step explanation:
(2x-5y)(7x-2y)
(2x*7x)(-5y*-2y)
URGENT 8th grade math
Answer:
inequality is n< with the line under 12 or n= , with the line under it 12
Step-by-step explanation:
What is the measure of ZBFA?
D
o
3x+4
2x+16
Ε
F
5x-10
В
A
Idk
Answer:
∠BFA = 50°
Step-by-step explanation:
To find∠ BFA we first have to find ∠BFE this is how we'll do it!
5x-10 + 3x+4 + 2x +16 = 180 (collect like terms)(5x+3x+2x)(-10+4+16)
10x + 10 = 180 (minus 10 on each side)
10x = 170 (divide by 10 on each side)
x = 17
Plug in. (Plug in the rest of the equations)
5(17)-10=75°
3(17)+4=55°
2(17)+16=50°
∠BFA would equal 50 degrees because it is vertical of ∠DFE.
When two angles are vertical to each other they equal the same amount or in other words they're congruent.
Hope this helps!!!
Plz Help!
A function f represents the percentage of life remaining in a cell phone battery. The life of a cell phone battery is dependent on the number of minutes, a , that a cell phone has been in use. In the context of the problem, explain the meaning of the following statements:
D. f(22)
E. f(a) = 50
Answer:
I need help with that too
Step-by-step explanation: