Write an equation of the line that passes through (3, 7) and is parallel to the line shown. (1, 4) (- 2, - 2)
Answers
Answer:
y=2x+1.
Step-by-step explanation:
You first need to find the slope of the line already graphed. -2 to 1 would be three units to the right, and -2 to 4 would be six units up. You would use the equation (y2-y1)/(x2-x1), where x1 and y1 would be the x and y values of the first coordinate of the graphed line, and x2 and y2 would be the second coordinate. This would be 6/3, which can be simplified to 2/1, which can be simplified to 2, which would mean the slope of the given line would be 2, as well as the parallel line. Now, you could use a pretty complicated equation to find the y-intercept of the line you need to graph, but I would recommend using the slope to find it. Since the given point is (3, 7), you would need to go to the left, meaning you would reverse the slope until you reach the y-axis, so you would use -2 as the slope. 3*-2=-6, and 7-6=1, so the y-intercept would be 1. The answer would be y=2x+1. Hope this helps.
Related Questions
Given the graph below, solve the system of equations.
Answers
Answer:
(4, 3 )
Step-by-step explanation:
Given a system of equations graphically, then the solution is at the point of intersection of the 2 lines.
The lines intersect at (4, 3 ) ← solution
Solve for x: 3x − 2 > 5x + 10. (5 points)
Question 9 options:
1)
x > 6
2)
x −6
Answers
Answer:
x < -6
Step-by-step explanation:
3x - 2 > 5x + 10
first step is to isolate x
3x -2 >5x +10
3x > 5x + 10 + 2
3x -5x > 10 + 2
now that we have 3x and -5x we can combine them
-2x > 10 + 2
now add 10 +2 =12
-2x > 12 (now divide by -2)
x < -6 (when we divide we flip the inequality sign)
3. Solve for x: (x-3)2 =16
Answers
Answer:
x = 11
Step-by-step explanation:
(x - 3)2 = 16
simplify
2x - 6 = 16
add 6 to both sides
2x -6 + 6 = 16 + 6
2x = 22
divide by 2
2x/2 = 22/2
x = 11
Answer:
x=11
Step-by-step explanation:
11-3=8
8x2=16
Hope this helps you! Happy holidays!
PLEASE HELP I REALLY NEED IT! PLEASE ASAP!
If possible please give a short explanation of your answer, I just don't want people choosing random answers for points. Thank you so much! :D
1. Let f(x)=3x+1 and g(x)=2x2−1
Find f(g(2))
A 97
B 28
C 10
D 22
2. Let f(x)=2x and g(x)=(x−3)2
Find g(f(x)) (there may be more than one answer)
A 4x^2−9
B 4x^2−12x+9
C 4x+9
D 4x^2+10x−9
Answers
Use proportional reasoning to determine the value of a in the proportion shown below. Q+5 unlu
O a = 1
O q = 25
O a = 10
O a = 15
Answers
Answer:
a=10
Step-by-step explanation:
Samuel and Savannah purchase stocks in a company. Samuel started with 50 shares and of the stock and buys 10 shares per month. Savannah did not start with any shares, but she buys 25 shares per month. Write an equation that represents the number of months it will take before Savannah and Share the same amount of shares
Answers
Answer:
50 + 10m = 25m
Step-by-step explanation:
Given that:
Samuel:
Stating shares = 50 shares plus 10 shares per month
Savanah :
Starting shares = 0 plus 25 shares per month
Let number of months = m
Samuel shares = savanna shares
50 + 10m = 25m
50 = 25m - 10m
50 = 15m
50 / 15 = m
WANT BRAINLIEST? look up the case of genie wiley and tell me your reaction. its literally sooo sad why would someone do that???
Answers
Answer:
^_^
Step-by-step explanation:
Maximum value of p plz help
Answers
Answer: sorry i cant help but i love the username
Step-by-step explanation:
Write the simplest polynomial function with the given roots 1/2,5, and -2
Answers
Answer:
x³-7x²/2-39x/2 + 10Step-by-step explanation:
Given 1/2,5, and -2 as roots of the polynomial, the function in terms of x is expressed as;
P(x) = (x - 1/2)(x - 5)(x+2)
Expand;
(x - 1/2)(x - 5) = x²-5x -x/2 + 5/2
(x - 1/2)(x - 5) = x²-11x/2 + 5/2
P(x) = (x²-11x/2 + 5/2)(x+2) = x³+2x²-11x²/2-22x+5x/2 + 10
P(x) = x³-7x²/2-39x/2 + 10
Hence the required polynomial is x³-7x²/2-39x/2 + 10
Helpppppppppppppp ppppppppp
Answers
Answer:
no it does not. that doesn't make sense haha
the number of units expected to be sold is uniformly distributed between 300 and 500. if r is a random number between 0 and 1, then the proper expression for sales is
Answers
300 + (200)r is the proper expression for sales if the number of units expected to be sold is uniformly distributed between 300 and 500. If r is a random number between 0 and 1.
What is a random number?
a random number is a number chosen by chance -- i.e., randomly, from a set of numbers. All the numbers in a specified distribution have equal probability of being chosen randomly.
Given that r is a random number between 0 and 1. it is uniformly distributed between 300 and 500 will be done by using the formula of 300+200r.
If r = 0, 300+200r will result in the output as 300
If r = 0.5, 300+200r will result in the output as 400
If r= 1, 300+200r will result in the output as 500
Hence ,the proper expression for sales is 300+200r
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what value (s) for n will make this expression true?
Answers
Answer:
0 and 3.5
Step-by-step explanation:
Answer:
0 and 3.5
Step-by-step explanation
Ye
please help me with these problems!!!
Answers
Answer:
A=7 B=4 C=7 D=15
Step-by-step explanation:
IM TRYIN DEKU
Charlie started his candy sale with 48
Candy bars. Now he has 32 candy bars. Find
the percent decrease.
Answers
Answer:
I think its 7% but I could be wrong
Help, me with this oof
Answers
Answer:
I'm confused
Step-by-step explanation:
what is it
How do we help? theres no question??
-20 + 6 = - +5 Approximate the solution to the equation above using three iterations of successive approximation. Use the graph below as a starting point. 6 2 3 X х -6 14 - 2 6 2 -6 OA I -100 OB. 1 13 16 15 16 O C. 15 O D. r 021+
Answers
Answer:
its b
Step-by-step explanation:
i did that test
The required solution after three successive iterations is near x = 7/8. Option c is correct.
What is the equation?The equation is the values of two expressions that are equal. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
Here, we have,
Equation is -2x + 6 = -(2/3)^x + 5. Approximate the solution to the equation above using three iterations of successive approximation.
given that,
-2x + 6 = -(2/3)^x + 5
Arranging the equation
(2/3)^x - 2x + 1 = 0
Since the solution of the equation is when f(x) = 0 at near to x = 0.8
f(x) = (2/3)^x - 2x + 1
First iteration at x =0.8
f(0.8) = 0.123
It will go up more to get exact zero, so
Second iteration at x = 0.9
f(0.9) = -0.106
It seems that zero is near 0.9 so will go down
The third iteration at x = 0.87
f(0.87) = -0.037
Here , solution is much near to x = 0.87 or x =7/8.
Thus, the required solution after three successive iterations is near x = 7/8.
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of AZ.
YA is an altitude of AXYZ. What is the length of YA?
O 5√3 units
O 10√3 units
O 15 units
O 20 units
Answers
By using Pythagoras theorem we can calculate length of YA and which will come out as, 5√3 units, So Option A is correct.
What is Pythagoras theorem?It is the most important theorem of mathematics, which tells us the relationship between sides of the right angle triangle, which are known as Base(A), Height(B), Hypotenuse(H).
Pythagoras theorem,
H² = A² + B²
Given information,
The length of the side YZ is twice of the side AZ,
Given length of side YZ is, 10 unit
Therefore, length of side AZ is, 5 unit
YA is altitude of ΔXYZ,
and ΔAYZ is a right angle triangle so we use Pythagoras theorem
YZ = H = 10
ZA = A = 5
YA = B = ?
100² = 5² + B²
B = 5√3
Hence, the length of side YA is 5√3 unit
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Bill is going for a run. He runs for 19.2 miles at a speed of 6 miles per hour. For how many hours does he run
Answers
Answer:
3.2miles per hour
Step-by-step explanation:
19.2 / 6 = 3.2
(82-25) ÷ (24 ÷ 6) + 32
Answers
Answer:46.25
Step-by-step explanation:
(82-25)divide(24/6)+32
v v
57/4+32
v
14.25 +32
v
46.25
In a class of 23 students, 16 have a brother and 15 have a sister. There are 11 students
who have a brother and a sister. What is the probability that a student chosen
randomly from the class is an only child?
Answers
Answer:
3/23Step-by-step explanation:
11 students have a brother and a sister16 students have a brother and 16 - 11 = 5 have a brother only15 students have a sister and 15 - 11 = 4 have a sister onlySo out of 23 students:
11 + 5 + 4 = 20 have a brother or sister or bothAnd therefore
23 - 20 = 3students have no brothers or sisters
The required probability is:
3/23U-Move-It charges $18 per hour, plus a fueling fee of $45 to rent a truck. Bobby needs to rent a truck and can spend no more than $145. What could the inequality expression look like for this word problem?
WILL GIVE BRAINLIEST
Answers
Answer:
[tex]x\leq 5[/tex]
Step-by-step explanation:
45+18x=145
18x=100
x<=5
So x is equal to or less than 5
Hope this helps plz hit the crown :D
Reflect (4, -5) over the x axis
Answers
Answer: (4,5)
The answer is (4,5)
your welcome
Answer
4,5
Step-by-step explanation:
is your awnser......
ASAP HELP ME
Find the area of the parallelogram
Answers
9) Which equation in IS direct variation?
a. y = 20x
b. 4x + 2y = 20
c. y = |x|
d. y = x2
Answers
Answer:
the answer is B.
Step-by-step explanation:
the answer is b because both sides increase
PLEASE HELP!!! WILL GIVE BRAIN!!!
Answers
Answer: the square root of -1 is i.
Step-by-step explanation:
Answer:j
Step-by-step explanation:
Solve the problem
( SHOW your work )
10x – 3 = 8x + 5
Answers
Answer:
x =4
Step-by-step explanation:
10x – 3 = 8x + 5
Subtract 8x from each side
10x-8x – 3 = 8x-8x + 5
2x-3 =5
Add 3 to each side
2x-3+3 =5+3
2x= 8
Divide by 2
2x/2 =8/2
x =4
a civil engineer is drawing a plan for the location and length of a new underground sewer pipe on a coordinate grid. the pipe on the plan will run from point n ( a , −2) to point p (1, b ) on the coordinate grid. which expression represents the shortest distance between n and p in units? ( a 2)2 (1 − b )2 (1 − a )2 ( b 2)2
Answers
The shortest distance between n and p in units = (1 − a )2+ ( b+ 2)2.
The correct option is B.
Distance between two points:The length of line segment connecting any two points is known as their distance from one another. The length of a line segment connecting the two given coordinates can be used to calculate the distance between the points in coordinate geometry.
What is coordinate geometry used for?The study of geometry utilizing coordinate points is referred to as coordinate geometry (or analytic geometry). The distance between two points can be calculated using coordinate geometry, as can the areas of triangles in the Cartesian plane, the midpoints of lines, and more.
According to the given information:The expression that represents this same shortest distance between P and N in units is found to use the distance between two points to be:
[tex]d=\sqrt{(1-a)^2+(b+2)^2}[/tex]
The distance between two points, (x1,y1) and (x2,y2), is represented by:
[tex]d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]
the distance between the points N(a, -2) and P(1,b) is:
[tex]\begin{aligned}&d=\sqrt{(1-a)^2+(b-(-2))^2} \\&d=\sqrt{(1-a)^2+(b+2)^2}\end{aligned}[/tex]
The shortest distance between n and p in units = (1 − a )2+ ( b+ 2)2.
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I understand that the question you are looking for is:
a civil engineer is drawing a plan for the location and length of a new underground sewer pipe on a coordinate grid. the pipe on the plan will run from point n ( a , −2) to point p (1, b ) on the coordinate grid. which expression represents the shortest distance between n and p in units?
A. ( a +2)2+ (1 − b )2
B. (1 − a )2+ ( b+ 2)2
is this equation true?
y^4 + y^5= y^9
Answers
You cannot add expressions with the same base while adding their exponents. This only works when you multiply the two numbers
Answer:
NO it is not true
284 + 0 = 284 is an example of which property?
Answers
What is the slope of the equation, y=3/4x +9
Answers
Answer:
3/4
Step-by-step explanation: