Identify an equation in point-slope form for the line parallel to y = 3/4 x - 4 that passes through (–1, 7).
Answers
Let's take this problem step-by-step:
If a line is parallel to each other:
⇒ their slope must be equal
Thus the line parallel to: \(y=\frac{3}{4}x-4\)
⇒ that line's slope: 3/4
The point-slope form is: \((y-y_1)=m(x-x_1)\)
m: the value of the slope of that line(x₁,y₁): point on that lineLet's put that line into the point-slope form:
\((y-7)=\frac{3}{4}(x+1)\) <== Answer
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Answer:
\(y - 7 = \frac{3}{4} (x+1)\)
Step-by-step explanation:
We are given the equation y = 3/4x-4, and we want to write an equation of a line that is parallel to y=3/4x-4, and that also passes through (-1, 7), in point-slope form.
Point-slope form is written as \(y-y_1=m(x-x_1)\), where \(m\) is the slope, and \((x_1, y_1)\) is a point
If two lines are parallel to each other, it means they have the same slope.
The line y = 3/4x-4 is written in the form slope-intercept form, which is y=mx+b, where m is the slope and b is the value of y at the y intercept.
As 3/4 is in the place of where m is, 3/4 is the slope of this line.
It is also the slope of our new line.
So we can substitute 3/4 as m in \(y-y_1=m(x-x_1)\).
\(y-y_1=\frac{3}{4} (x-x_1)\)
Now, we need to replace the values of \(x_1\) and \(y_1\) with a point.
Since we are given (-1, 7), and that it passes through the line, it means that we can use its values in the equation.
Note that we have subtraction in this equation, so when we use a negative number, we still write the subtraction sign in front of the minus sign the negative number has. Just because the number is already negative doesn't mean we ignore the minus sign the formula gives.
\(y-7=\frac{3}{4} (x--1)\)
We can simplify this equation, as --1 is the same as +1.
\(y-7=\frac{3}{4} (x+1)\)
Related Questions
Jane, Alan, and Ravi sent a total of 146 text messages over their cell phones during the weekend. Ravi sent 8 fewer
messages than Jane. Alan sent 4 times as many messages as Ravi. How many messages did they each send?
Answers
Jane, Alan, and Ravi sent a total of 146 text messages over their cell phones during weekend, Ravi sent 8 fewer messages than Jane. Alan sent 4 times as many messages as Ravi. So as per question data,
Jane sent= 31 messages
Ravi sent= x-8= 31-8 = 23 messages
Alan sent= 4(x-8) = 92 messages
What operations are used here?The best way to solve an expression is from left to right if all the operations are the same (for instance, only addition, only subtraction, only multiplication, or only division). However, we must adhere to the order of operations for expressions including several operations.
The rule that dictates how to solve an expression involving numerous operations is known as the order of operations.
PEMDAS can help you remember that sequence. In PEMDAS, each letter denotes a mathematical operation.
Let, Jane sent x number of messages
Then, Ravi sent x-8 number of messages
and, Alan sent 4(x-8) number of messages
Total number of messages by them = 146
now,
x+(x-8)+4(x-8)=146
6x-40=146
x=31
so, Jane sent= 31 messages
Ravi sent= x-8= 31-8 = 23
Alan sent= 4(x-8) = 92
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help , i’ll mark brainliest <333
Answers
Since the triangles are congruent, their angles are the same
2x = x + 10
x = 10
Angle A = x + 10 = 10 + 10 = 20
Which rule describes the function whose graph is shown?
Answers
Answer: B
Step-by-step explanation:
from edge
Answer:
B
Step-by-step explanation:
Edge 2022
I not understand this any help please answer and explain please
Answers
The length the line segment DF is 21 units
What is Similarity of Triangles?
Two objects are comparable in Euclidean geometry if they have the same form or one has the same shape as the mirror image of the other. More exactly, one can be created by evenly scaling the other, potentially with extra translation, rotation, and reflection.
Since, the question is incomplete I can only assume that the traingles are similar
So, by rule of similarity we can say that ED/BA = DF/AC
by this 15/5 = DF/7
This implies that the length of DF is 21 units
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3 * x/3 = 5 * ? solve using the pythagorean theorem
Answers
we have the equation
x/3=5
solve for x
Multiply both sides by 3
so
3*(x/3)=5*3
Simplify
x=15
therefore
the answer is
the number in the green box is 3The perimeter of a square is 92.8 m
Calculate the length of its diagnol urgently need answer
Answers
Answer:
32.81 meters
Step-by-step explanation:
First divide by 4 to get the lengths of the sides.
92.8/4=23.2
Then to find the diagnol length do a side length multiplied by radical 2
23.2 sqaure root 2 = 32.81
Slope intercept from 2x+2y=10
Answers
y=x-5
Thatll be one brainliest
Daniel has 102 stamps. Manuel has twice as many stamps as Daniel. Kendra has twice as many stamps as Manuel. How many stamps do they have in all?
Answers
Answer:
They have 714 stamps in all.
Step-by-step explanation:
Daniel has 102 stamps, and since Manuel has twice that, u multiply it two.
102 x 2 = 204.
Multiply THIS amount by two to get kendra's amount.
204 x 2 = 408.
Then, add 102, 204, and 408.
102 + 204 + 408 = 714
Answer:
There are 714 total stamps.
Step-by-step explanation:
Daniel has 102 stamps, so 102 is our first number.
Manuel has 2x as many stamps as Daniel (who has 102) so we do...
102 x 2 = 204
204 is our second number.
Kendra has 2x as many as Manuel (who has 204).
204 x 2 = 408
408 is our third number.
Now we add the three stamp numbers together to get the total:
102 + 204 + 408 = 714
There are 714 total stamps.
In 2-3, graph the system of equations to find the solution to the system. Then, use the check step to prove that the solution works in both equations. Show all work
Answers
The system of equations has an infinite number of solutions.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 = 8 is an equation.
We have,
3x + 2y = 6 ____(1)
6x + 4y = 12 _____(2)
Applying the substitution method.
3x + 2y = 6
x = (6 - 2y)/3 in (2)
6 (6 - 2y)/3 + 4y = 12
2 (6 - 2y) + 4y = 12
12 - 4y + 4y = 12
12 = 12
This means,
It has an infinite number of solutions.
Thus,
An infinite number of solutions.
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The complete question is:
Graph the system of equations
3x + 2y = 6
6x + 4y = 12
and find the solution to the system.
The nth term of an AP is given by 2n +9 find the first term
Answers
Use formula to find the area of the figure
Answers
The area of the figure in this problem is given as follows:
A. 30 in².
How to obtain the area of the figure?The area of a triangle is given by half the multiplication of the base length by the height of the triangle.
Applying the Pythagorean Theorem, we can obtain the missing side length, as follows:
4² + x² = 6²
x² = 36 - 16
x² = 20
x = square root of 20
x = 4.47.
For a right triangle, one side is considered the height of the other, hence the sides are:
4 in.4.47 + 8 = 12.47 in.Hence the area of the triangle is then obtained as follows:
Area = 0.5 x 4 x 12.47
Area = 25 in².
Which is closest to 30 in².
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a1 = 1; d = 3a1 = 1; d = −3a1 = 17; d = 3a1 = 17; d = −3
Answers
Given:
A graph is given and the points on the graph are as:
(1, 17), (2, 14), (3, 11), (4, 8), (5, 5), (6, 2)
Required:
To determine the value of
\(a_1\)and d for the given sequence.
Explanation:
We can observe from the graph that the given sequence is an arithmetic sequence.
Here
\(a_1\)represent the first value and d represent the common ratio.
So the values are as:
\(\begin{gathered} a_1=1 \\ d=14-17=\text{ -3} \end{gathered}\)Final Answer:
\(a_{1=1},\text{ d = -3}\)The second option is the correct answer.
what is the mean of the absolute deviation. 8 4 3 3 3 3
Answers
Answer:
1.3 repeating or 4/3
Step-by-step explanation:
If the two angles are complementary, find the measure of each of angle. I am having trouble decoding this problem in it it says 7f and 2f what is the formula for this problem
Answers
Answer:
f=10
Step-by-step explanation:
I don't know a formula for this but I can see that <CRE is a 90° angle so 7f+2f=90 and if f=10 7f=70 and 2f=20 which fits
The measure of angle of each is 70° and 20°.
What are Angles?Angles are the figure formed by the intersection of two lines or rays by sharing a common point. This point is called the vertex of the angle.
Angles are usually measured in degrees or radians.
The given angles are complementary.
That is, ∠CRE is complementary, which means the angle is 90 degrees.
∠CRT + ∠TRE = 90°
(7f)° + (2f)° = 90°
9f = 90°
f = 90 / 9
f = 10
Hence ∠CRT = (7f)° = 70°
∠TRE = (2f)° = 20°
Hence the measure of each of the angle is 70° and 20°.
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What is the value of -3 +|-17|
20
14
-14
-20
Answers
Answer: 14
Step-by-step explanation:
Absolute value numbers ( |-17| ) cannot have a negative value
Therefore, the equation turns into -3 + |17|
-3 + |17| = 14
You and your family want to plan a beach trip to ocean lakes
The cost of the house is $1180
A golf cart rental is $60 per day
How many days did you stay if the charge was $1540.00? Show the math
Answers
Answer:
Step-by-step explanation:
Im assuming that the cost of the house isn't per day, so it would be 6 days. I just added 60 to 1180 and counted how many times i added it. To check my work, you can just subtract 1180 from 1540, then divide by 60.
Sorry if this is wrong, but i tried my best. If its correct do you mind making me brainliest lol
PLS HELP WILL GIVE BRAINLIEST AND POINTS PLS HELP
A bird supply wholesaler wants to make a seed that costs $0.75 per pound out of 50 pounds of a $0.60 per pound seed and some
amount of a $0.90 per pound seed. How much of the $0.90 per pound seed should the wholesaler use to make his 50.75 per pound
seed?
A)
2 pounds
B)
30 pounds
c)
50 pounds
D)
60 pounds
Answers
Answer:
it is c
Step-by-step explanation:
Classify the following numbers as Natural, Whole number, irrational, non real, rational
\( \sqrt{111} \)
Answers
Answer:
sqroot(111) is irrational.
Step-by-step explanation:
Natural are 1, 2, 3, 4...
Whole are 0, 1, 2, 3...
Irrational are decimals that don't end or repeat. Sqroot(111) is 10.535653752...
Nonreal have an i, the imaginary number.
Rational are fractions (or can be written as a fraction) or decimals that end or repeat.
1. Olivia and Brandon take a road trip that is 1, 792 miles. The odometer reading on their car when they start out is
58, 236 miles. After one day, the odometer reading is 58, 857 miles. How many miles do they have left before they
reach their destination?
1,351 miles
1,171 miles
Answers
Answer:
1,171 miles
Step-by-step explanation:
The trip is 1792 miles.
They have driven (58857 - 58236) miles of the trip so far (because the odometer change is equal to the distance driven).
(58857 - 58236) = 621
They still need to drive 1792 - 621 miles
1792 - 621 = 1171
So they have 1171 miles left until they complete the trip.
In ΔXYZ, z = 81 cm, ∠Y=139° and ∠Z=6°. Find the length of y, to the nearest 10th of a centimeter.
Answers
Answer:
508.4
Step-by-step explanation:
This is on delta math
Answer:
508.4
Step-by-step explanation:
delta math
I need help with the question
Answers
Answer:
\(A = 25\pi\) or 25 × 3.14 = 78.5m
Step-by-step explanation:
The radius is half of the diameter. So the radius = 5m (10/2)
\(A = \pi r^{2}\)
\(A = \pi (5^{2} )\)
\(A = 25\pi\)
An investor buys 100 shares of AT&T stock and records its price change daily.
Answers
Step-by-step explanation:
An investor buys 100 shares of AT&T stock and records its price change daily.
Karina read a total of 20 2/4 pages in her science and social studies books combined. She read 12 3/4 pages in her science book. How many pages did she read in her social studies book?
______ pages
Answers
Answer:
10 1/4
Step-by-step explanation:
Jose bought 750 bags of peanuts for 375.00. He intends to sell each bag for 0.15 more the he paid. How much should he charge for each bag
Answers
375.00 divided by 750 = 0.50 cents
0.50 + 0.15 = 0.65 cents
Jose should charge 0.65 cents for each bag.
Answer:
Charge for each bag = 0.65
Step-by-step explanation:
Let the cost of 1 bag be = x
Bags Cost
750 375.00
1 x
\(\frac{750}{1} = \frac{375}{x}\\\\x \times 750 = 375 \times 1\\\\x = \frac{375}{750} = 0.50\)
Therefore, the amount Jose paid for each bag = 0.50
He is going to sell each bag for 0.15 more than he paid,
that is , 0.50 + 0.15 = 0.65
what are all the subsets of the set {-3,6}
Answers
The subsets of the set {-3, 6}, which are proper subsets is the option;
∅, {-3}, {6}What is a set in mathematics?A set is a model that represents a collection of mathematical objects such as numbers, lines, symbols, points, other sets, variables, or shapes.
In set theory, a set A is a subset of the set B if all the elements or members present in set A can be found in set B. Therefore, set B is said to contain set A or set A is contained in set B.
The above relationships can be expressed using examples as follows;
Let set A = {X, Y} and let set B = {X, Y, Z}, then set A is a subset of set B because the elements, X, Y, contained in set A, are also contained in set B,
Generally, the number of proper subsets of a set that contains n elements is \( {2}^{n} - 1\)
Given that the subset of a set which is not a proper subset is the set of itself.
The given set is; {-3, 6}
The number of elements in the set, n = 2
Therefore;
The number of proper subsets = 2² - 1 = 3
All the subsets of {-3, 6} are therefore;
∅, {-3}, {6}
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6
910
Geometric Proof #1
4x = -24
Names: statements & Reasons Bank:
C
B
x + 18
3x + 25
Division P.O.E
4x + 43 = 19
Given: AC = 19
Prove: x = -6
gure not to sale
4x = 62
Statements
Reasons
Given
Segment Addition
Postulate
AC = 19
AB = x + 18
Definition of Midpoint
Definition of Congruent
Segments
Given
BC = 3x + 25
Given
Addition P.O.E.
x + 18 + 3x + 25 = 19
AB + BC = AC
AB = BC
Substitution
Combine Like Terms
Subtraction P.O.E.
x = -6
Click to add speaker notes
Answers
Answer:
174
Step-by-step explanation:
Drag each tile to the correct location. Not all tiles will be used.
The ratio of the lengths of the radii of two spheres is 5 : 8. What is the ratio of the surface area of the smaller sphere to the surface area of the larger sphere?
1
5
8
25
40
64
125
512
Answers
Answer:
25:64
Step-by-step explanation:
surface : 4×pi×R^2
R1 = 5x
R2 =8x
4piR1^2 / 4piR2^2 = R1^2/R2^2 = 5x^2/8x^2 = 25x^2/64x^2 = 25/64
The area of a rectangular room is 750 square feet. The width of the room is 5 feet less than the length of the room.
Which equations can be used to solve for y, the length of the room? Select three options.
y(y + 5) = 750
y2 – 5y = 750
750 – y(y – 5) = 0
y(y – 5) + 750 = 0
(y + 25)(y – 30) = 0
Answers
Answer:
Step-by-step explanation:
Option B , C and E are correct
Can someone please give me the answer! Thanks!
Answers
Michael’s father bought him a 16-foot board to cut into shelves for his bedroom. michael plans to cut the board into 11 equal size lengths for his shelves.the saw blade that michael will use to cut the board will change the length of the board by -0.125 inches for each cut. how will this affect the total length of the board?
Answers
Step-by-step explanation:
you have to know how many inches make a foot or vice versa the you do simple proportion by equating the inches to the foot to get the answer. simple as abc