Answer:
x + y = - 2
Step-by-step explanation:
The equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
Given
y - 2 = - (x + 4) ← distribute by - 1
y - 2 = - x - 4 ( add x to both sides )
x + y - 2 = - 4 ( add 2 to both sides )
x + y = - 2 ← in standard form
What are the coordinates of the point on the directed line segment from (3, -3) to
(7,5) that partitions the segment into a ratio of 5 to 3?
Answer:
(5.5, 2)Step-by-step explanation:
Points given:
(3, -3) and (7,5)Partition ratio:
5 to 3Formula for the point:
x = x1 + a/(a+b)×(x2 - x1) y = y1 + a/(a +b)×(y2 - y1)So the points are:
x = 3 + 5/(5+3)×(7-3) = 3 + 5/8×4 = 5.5y = -3 + 5/8×(5 - (-3)) = -3 + 5/8×8= 2Answer:
(5.5,2)
Step-by-step explanation:
What is the number of cycles of y=1/8cos(5θ+π/6)+3 between 0 and 2π?
You are correct. The answer is B) 5.
This is because the period here is T = 2pi/5
Multiplying 5 with this period leads to 5*(2pi/5) = 2pi; showing that 5 full cycles occupy a total horizontal width of 2pi units (more specifically stretching from 0 to 2pi).
4. Find the value of a, for which point p (a/3,2) is the midpoint of the line segment
joining the points Q (-5, 4) and R(-1,0).
Answer:
a = -9
Step-by-step explanation:
P(a/3 , 2) is mid-point of Q (-5 , 4) and R (-1 , 0)
a/3 = (-5 + (-1))/2 = -6/2 = -3
a = -9
Select the correct answer.
What are the values of x and y if this equation is true?
22(X+yi)+(28+4i)=72-62i)
Answer:
[tex]\huge\boxed{x=2\ and\ y=-3}[/tex]
Step-by-step explanation:
[tex]22(x+yi)+(28+4i)=72-62i\\\\22x+22yi+28+4i=72-62i\\\\(22x+28)+(22y+4)i=72-62i\Rightarrow22x+28=72\ \wedge\ 22y+4=-62\\\\22x+28=72\qquad|\text{subtract 28 from both sides}\\22x=44\qquad|\text{divide both sides by 22}\\\boxed{x=2}\\\\22y+4=-62\qquad|\text{subtract 4 from both sides}\\22y=-66\qquad|\text{divide both sides by 22}\\\boxed{y=-3}[/tex]
y is inversely proportional to the square of x.
A table of values for x and y is shown.
Х| 1 2 3 4
Y| 4 1 4/9 1/4
a) Express y in terms of x.
b) Work out the positive value of x when y = 25
Answer:
[tex]a) \: y = \frac{4}{ {x}^{2} }[/tex]
[tex]b) \: x = \frac{2}{5} [/tex]
Step-by-step explanation:
Please see the attached pictures for the full solution.
SOS! PLEASE HELP ME!!
The graph shows the cost of buying tickets to a concert.
a. What does the point (4,122) represent?
b.What is the unit rate?
c.What is the cost of buying 10 tickets?
Answer:
a) The point (4, 122) represents that the cost of 4 tickets is $122
b) The unit rate is 30.5 dollars per ticket
c) The cost of buying 10 tickets is $305
Step-by-step explanation:
Let us solve the question
From the given graph
∵ The x-axis represents the number of tickets
∵ The y-axis represents the cost of tickets in dollars
∴ The line represents the relationship between the number of tickets
and their cost
a)
∵ The point (4, 122) lies on the line
∴ x = the number of tickets
∴ y = their cost
∵ x = 4 and y = 122
∴ The cost of the 4 tickets is 122 dollars
∴ The point (4, 122) represents that the cost of 4 tickets is $122
b)
∵ The unit rate is the slope of the line
∵ The slope of the line = Δy/Δx, where
Δy = y2 - y1 Δx = x2 - x1∵ The line passes through points (0, 0) and (2, 61)
∴ x1 = 0 and x2 = 2
∴ y1 = 0 and y2 = 61
→ Substitute them in the rule of the slope above
∴ The slope of the line = [tex]\frac{61-0}{2-0}[/tex] = [tex]\frac{61}{2}[/tex] = 30.5
∴ The unit rate is 30.5 dollars per ticket
c)
∵ The linear equation is y = m x + b, where
m is the slope of the line b is the y-intercept (value y at x = 0)∵ m = 30.5 ⇒ the slope of the lone
∵ b = 0 ⇒ The line passes through the origin point (0, 0)
∴ The equation of the line is y = 30.5x
∵ x = 10 ⇒ number of tickets
→ Substitute x by 10 in the equation to find the cost of 10 tickets
∴ y = 30.5(10)
∴ y = 305
∴ The cost of buying 10 tickets is $305
Graph the line y= -3/2x + 1
Answer:
Step-by-step explanation:
The graph of y= -3/2x + 1 is given in attachment with slope -3/2.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
The given line is y= -3/2x + 1
slope is -3/2
We have to find few values of x and y.
When x=0
y=1
When x=1
y=-1/2
When x=2
y=-2
Hence, the graph of y= -3/2x + 1 is given in attachment with slope -3/2.
To learn more on slope of line click:
https://brainly.com/question/14511992
#SPJ5
[tex](2x { - }^{1} ) { - }^{2} [/tex]
Find the value of x. Diagram is not to scale
Answer:
b: 70
Step-by-step explanation:
45+45=90
24+24=48
The scale of the triangle is 2
35*2=70
I will mark brainlist for this science question please. I need to figure out where to put where. And what percentages. Your choices of percentages is 0, 25, 50, 75, and 100.
Answer:
Long wings: 0
Short wings: 100
Step-by-step explanation:
Genotype of the flies: ww
The cross will yield the genotype ww and the flies will express the recessive phenotype which is short wings.
The probability for long wings will be 0 as there is no dominant allele present. The probability for short wings will be 100 as all the flies will have short wings.
Hope that helps.
(03.02 MC)The number of pages that Ana, Hillary, Roger, and Juan can read in a day is shown below:
Ana read 15% of her 46-page book.
Hillary read 11% of her 72-page book.
Roger read 12% of his 68-page book.
Juan read 14% of his 69-page book.
Who can read the greatest number of pages in a day?
plz explain your answer
Answer:
Juan
Step-by-step explanation:
The number of pages that Ana, Hillary, Roger, and Juan can read in a day is shown below:
For Ana
Ana read 15% of her 46-page book.
= 15% × 46 pages
= 6.9 pages
For Hillary
Hillary read 11% of her 72-page book.
= 11% × 72 pages
= 7.92 pages
For Roger
Roger read 12% of his 68-page book.
= 12% × 68 pages
= 8.16 pages
For Juan
Juan read 14% of his 69-page book.
= 14% × 69 pages
= 9.66 pages
The person who can read greatest number of pages in a day also means the person who read the highest number of pages in a day.
From the calculation above, that person in JUAN because she can read 9.66 pages of her book in one day.
Answer:
juan or D
Step-by-step explanation:
took the test
If
f(x) = x?+ 2x- 4
and
g(x) - 3x+ 1
Find
g(f(3) = [? }+x +
Step-by-step explanation:
(g o f)(x)
= g(x² + 2x - 4)
= 3(x² + 2x - 4) + 1
= 3x² + 6x - 11.
Which equation is equivalent to 3 + 5(x + 2) = 12? A 8x + 16 = 12 B 8x + 2 = 12 C 5x + 5 = 12 D 5x + 13 = 12
Answer:
D 5x + 13 = 12
Step-by-step explanation:
3 + 5(x + 2) = 12
3 + 5x + 10 = 12
5x = -1
x = -1/5
D) 5x + 13 = 12
5x = 12 - 13 = -1
x = -1/5
How to know when a parallelogram is a rectangle
Answer:
Please check explanations for answer
Step-by-step explanation:
Here, we want to know when a parallelogram is a rectangle
There are some properties to be satisfied by the parallelogram to know it is a rectangle
If the parallelogram in question has diagonals that are equal in length, meaning that the by are congruent, then we can say is it a rectangle
Also, the parallelogram must contain four right angles for use to say it is a rectangle
Pleaseeeee helpppp
What is the slope-intercept form of the function graphed below?
Answer:
f(x)=-1/2x+1
i would explain but i cant right now. Try Kahn academy as he explains very well
Step-by-step explanation:
2. Is the point (-3,-4) the solution to the system of
equations: SHOW ALL YOUR WORK.
Answer:
y = 2x + 2
-4 = 2(-3) + 2
-4 = -6 + 2
-4 = -4
y = x - 1
-4 = -3 - 1
-4 = -4
It is the solution
Step-by-step explanation:
Answer: Yes, it is the solution to the system.
=========================================================
Explanation:
The point (-3,-4) means that x = -3 and y = -4 pair up together.
Let's plug those values into the first equation and simplify
y = 2x+2
-4 = 2(-3)+2 .... replace x with -3; replace y with -4
-4 = -6+2
-4 = -4 ... we get a true equation
Let's repeat for the other equation as well
y = x-1
-4 = -3-1
-4 = -4 .... this is also true
Since both equations are true, this means (-3,-4) is the solution to the system. The two lines intersect at (-3,-4).
what is the lcm of 28xy2 and 42x²y
A player hits a baseball with an initial velocity of 117 ft/sec at an elevation angle of 50°. When struck, the baseball is 2 feet above the ground. What is the maximum height the baseball reaches?
Answer:
126
Step-by-step explanation:
uhhhhh straight up guessed, but yeah heres the answer
Answer:
is is 126 got it right on edge
Step-by-step explanation:
Does 2x-x equal to 2x or x? I thought it would be x, but in a video I'm watching for school, it says 2x.
Answer:
i also would say x maybe school did a mistake
Find the maximum value of
P = x + 6y
subject to the following constraints:
(2x + 4y < 10
X + 9y < 12
x > 0
y0
P = [?]
Answer:
(3, 1)
Step-by-step explanation:
Given the following constraints:
2x + 4y ≤ 10
x + 9y ≤ 12
x ≥ 0
y ≥ 0
We have to first graph the above constraints and secondly, we find the boundary points for the feasible region. This is done by plotting the graphs of 2x + 4y ≤ 10 and x + 9y ≤ 12.
From the graph, the following points satisfy the constraints:
(0,0) , (3,1) , (0,4/3) , (5,0)
Given that:
P = x + 6y
For (0, 0): P = x + 6y = 0 + 6(0) = 0
For (3, 1): P = x + 6y = 3 + 6(1) = 9
For (0, 4/3) P = x + 6y = 0 + 6(4/3) = 8
For (5, 0) P = x + 6y = 5 + 6(0) = 5
Answer:
9
Step-by-step explanation:
Acellus algebra 2
use the graph below to find the x and y incerpts
(the second picture has the options)
Step-by-step explanation:
answer 2. should be right
The soccer coach wants to take the team out for pizza after the game. He wishes to spend no more than $60. Large pizzas, p, cost $12 each and sodas, s, cost $1.25 each.
Answer:
i will solve it below
Step-by-step explanation:
12.00 + 1.25
13.00
60.00 - 13.00 = 47.00
your welcome
Answer:
$12p plus $1.25s≤60
Step-by-step explanation:
Because we are multiplying to see how many pizzas and sodas he will get for under 60 dollars or equal to $60
all of them as single rational number
Answer: 2 is -1.25
Step-by-step explanation:
Please help look at the picture attached
Answer:
17
Step-by-step explanation:
Write the expression as a single natural logarithm.
3lnm+4lnn
Answer:
We conclude that:
[tex]3\ln \left(m\right)+4\ln \left(n\right)=\ln \left(m^3n^4\right)[/tex]
Step-by-step explanation:
Given the expression
[tex]3\ln \left(m\right)+4\ln \left(n\right)[/tex]
Apply log rule:
[tex]a\log _c\left(b\right)=\log _c\left(b^a\right)[/tex]So the expression becomes
[tex]3ln\:m\:+\:4ln\:n=\ln \:\left(m^3\right)+\ln \:\left(n^4\right)[/tex]
Apply log rule:
[tex]\log _c\left(a\right)+\log _c\left(b\right)=\log _c\left(ab\right)[/tex]
so the expression becomes
[tex]=\ln \left(m^3n^4\right)[/tex]
Therefore, we conclude that:
[tex]3\ln \left(m\right)+4\ln \left(n\right)=\ln \left(m^3n^4\right)[/tex]
s = -t³ + 2t² - 2t, 0 ≤ t ≤ 2 Find the body's speed and acceleration at the end of the time interval. *
A) -6 m/sec, -8 m/sec²
B) 6 m/sec, -8 m/sec²
C) 6 m/sec, -2 m/sec²
D) 2 m/sec, 0 m/sec²
Answer:
A
Step-by-step explanation:
the end of interval is t=2
v=s'= -3t^2+4t-2
v(2)= -3(2^2)+4(2) -2
v(2)=-12+8-2
v(2)= -6m/s
so tje ans is A
Can someone help me on this I’m stuck I’ll give brainliest
Answer:
1: The car is moving at a constant speed
2: The car is stopped
3: The car is decreasing in speed
Step-by-step explanation:
1. It's moving at a constant speed as it's moving up in a straight line
2. It's stopped because the line is flat
3. It's slowing down as the slope is getting smaller
plss help I don’t understand it it’s for homework
Answer: r= -3
Next 3 terms following 54 are -162, 486, -1458
Step-by-step explanation:
Find the value of x in each case. Give reasons to justify your solutions! XW ∥ YZ
Answer:
The answer is "19".
Step-by-step explanation:
In this question, the graph file is missing which is defined in the attached file please find it.
When YZ and XW were identical,
[tex]\angle XWY =\angle WYZ \ \ \text{(Alternate Angles)}[/tex]
[tex]\angle XWY = 2x[/tex]
Because the angles are all 180 degrees in either a triangle:
[tex]\to (3x - 5) + 90 + 2x = 180\\\\\to 3x - 5 + 90 + 2x = 180\\\\ \to 5 x + 85= 180 \\\\ \to 5 x = 180-85 \\\\ \to 5x = 95 \\\\ \to x= \frac{95}{5} \\\\ \to x = 19[/tex]
The answer above is accually correct, but always remember when submitting your answer to always put the degrees sign.
It’s MrBeast what’s 600+1 I’ll make brainliest.
Answer:
601
Step-by-step explanation:
Hmm... That question took me years to solve.
Answer:
600+1=6001
Step-by-step explanation:
because it just is ;)