Answers
Answer:
Step-by-step explanation:
x - 2y =8
-2y = -x + 8
[tex]y = \frac{-1}{-2}x+ \frac{8}{-2}\\\\y =\frac{1}{2}x - 4[/tex]
When x = 4,
[tex]y = \frac{1}{2}*4-4\\\\ = 2-4\\\\y = -2[/tex]
(4, - 2)
When x = -4,
[tex]y =\frac{1}{2}*(-4) - 4\\\\ = -2 - 4\\\\= - 6[/tex]
(-4, -6)
Plot the points (4, -2) and (-4 , -6) in the graph and Join the points
Related Questions
Solve the system of equations by the substitution method.
y = 4x-9
y-x=-3
A.(2, -1)
B.(-4,-7)
C.(-1,2)
D.(-7,-4)
Answers
Answer:
A. (2, -1)
Step-by-step explanation:
(4x - 9) - x = -3
3x - 9 = - 3
3x = 6
x = 2
y = 4(2) - 9
y = 8 -9
y = - 1
(2, -1)
Check
-1 - 2 = -3
Plssssssssssss.ssssssssss
Answers
Answer:
6 yards in two hours
Step-by-step explanation:
3 times 2 is six
Answer:
6 hours
Step-by-step explanation:
beacause if you times the 3×2=6hours
#carry on learning
what type of number is -
[tex] \sqrt{16} [/tex]
Answers
Answer:
perfect square / rational
4
Step-by-step explanation:
Answer:
root of 16. or 4
Step-by-step explanation:
plzzzzz help me brainlest
Answers
Lonnie plans to join the gym. He must pay a $35 membership fee. He will
then pay $5 each month. What is the slope?
Answers
Answer: 5
Step-by-step explanation:
Which equation represents a linear function. Pic attached and I will mark brainly
Answers
Answer:
I will answer the equation, however there is no pic attached
Step-by-step explanation:
What are the coordinates of the point on the directed line segment from (-10, -3)
to (-3, -3) that partitions the segment into a ratio of 3 to 4?
Answers
9514 1404 393
Answer:
(-7, -3)
Step-by-step explanation:
The point is the weighted sum of the end point coordinates. The weights are the reverse of the adjacent segment proportions.
P = (4(-10, -3) +3(-3, -3))/7 = (-40-9, -12-9)/7 = (-49, -21)/7
P = (-7, -3)
The point that partitions the segment in the desired fashion is (-7, -3).
_____
Alternate solution
The given segment can be recognized as a horizontal segment of length 7. Then the desired point is 3 units from the first end, so at (-10+3, -3) = (-7, -3).
Cuáles son las partes de un término algebraico
Answers
Answer:
coeficiente, variables, exponentes, y el signo.
The Graduate Management Admission Test (GMAT) is a standardized exam used by many universities as part of the assessment for admission to graduate study in business. The average GMAT score is (Magoosh website, January 5, 2015). Assume that GMAT scores are bell-shaped with a standard deviation of . a. What percentage of GMAT scores are or higher
Answers
Answer:
The answer is "16%".
Step-by-step explanation:
Its empirical rule suggests which 68% of the very first standard deviation, 95% of the very first 2 standard deviations or 99.7% of the very first three standard deviations of the variance average fall.
[tex]z =647 \\\\z=\frac{(647-547)}{100}= \frac{100}{100}=1[/tex]
The empirical rule indicates the first standard deviation around 68 percent.
So,
[tex]=\frac{(100-68)}{2} \\\\=\frac{32}{2} \\\\= 16 \% \ drop \ 647 \ and \ above[/tex]
If an 8-sided spinner is labeled with 2As, 2Bs, 2 ones, and 2 twos. What is the sample space for the probability model
Answers
plz help plzzzzzzzzzz
Answers
Slope of (-3.6) and (-3,0)
Answers
Answer:
the slope for the points is 6
Step-by-step explanation:
6
Michael draws a scale model of a shed for his engineering class. It is made from a triangular prism on top of a rectangular prism. The volume of the shed is 966 cubic inches. The congruent sides of the triangle are 7.8 inches. A. What is the depth of the shed?
Answers
0.15 + 0.1x = 1.1 ÷ 3 · 5.1 − 1.2
Answers
No way I’m going to type all that in lol
HELP PLEASE !!
Ivanna is riding on a bike course that is 15 miles long. So far, she has ridden 6 miles of the course. What percentage of the course has Ivanna ridden so far?
Answers
Answer:
50%
Step-by-step explanation:
On the first day of soccer camp, all the players were divided into 2 teams. there were 9 players on each team. write an equation, that when solved, will tell the total number of players, p.
Answers
Answer:
2*9=18
Step-by-step explanation:
if there is 9 players on each of the 2 teams there would be 18 players in total
An item that originally cost $12 was on clearance Alford $3.60 what is the percentage of the discount
Answers
Answer:
she has hdu 7match the inequalities with the graphs
3.60 divided by 12 and that would get you 0.3%
Glenda sells coffee for 50¢ and empanadas for $2 at the park on the weekends. One Saturday she
sold 90 items and made $105. How many coffees did she sell?
Answers
Answer:
50 coffees
(and 40 empanadas)
Step-by-step explanation:
x= coffee y=empanadas
.5x+2y=105
x+y=90
Isolate a variable
x+y=90
x-90= -y
-x+90=y
Plug this in for y in the other equation
.5x+2(-x+90)=105
Solve for x
.5-2x+180=105
-1.5x= -75
x=50
we can stop here but that's lame so let's figure out how many empanadas she sold
we know that x=50 so we can just plug this into either beginning equation and solve for y
50+y=90
y=40
In the typing world, 80 words per 5 minutes is considered acceptable.
How many words per minute is this?
Answers
Answer:
16
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.) cos(x) sin(2x) sin(x) dx
Answers
Answer:
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \frac{4x-sin(4x)}{16} +c[/tex]
Step-by-step explanation:
Given
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx[/tex]
Required
Evaluate
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx[/tex]
Rewrite as:
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \int\limits {cos(x)\ sin(x)\ sin(2x)} \, dx[/tex]
In trigonometry:
[tex]sin(2x) = 2\ sin(x)\ cos(x)[/tex]
Divide both sides by 2
[tex]\frac{1}{2}sin(2x) = \frac{2\ sin(x)\ cos(x) }{2}[/tex]
[tex]\frac{1}{2}sin(2x) = sin(x)\ cos(x)[/tex]
[tex]\frac{1}{2}sin(2x) = cos(x)\ sin(x)[/tex]
Substitute [tex]\frac{1}{2}sin(2x)[/tex] for [tex]cos(x)\ sin(x)[/tex]
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \int\limits {\frac{1}{2}sin(2x)\ sin(2x)} \, dx[/tex]
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \int\limits {\frac{1}{2}sin^2(2x)} \, dx[/tex]
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \frac{1}{2}\int\limits {sin^2(2x)} \, dx[/tex]
Let [tex]u = 2x[/tex]
Differentiate:
[tex]du = 2 \ dx[/tex]
Make [tex]dx[/tex] the subject
[tex]dx = \frac{1}{2}du[/tex]
Substitute [tex]\frac{1}{2}du[/tex] for [tex]dx[/tex]
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \frac{1}{2}\int\limits {sin^2(2x)} \, \frac{1}{2}du[/tex]
Substitute 2x for u
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \frac{1}{2}\int\limits {sin^2(u)} \, \frac{1}{2}du[/tex]
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \frac{1}{2}*\frac{1}{2}\int\limits {sin^2(u)} \, du[/tex]
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \frac{1}{4}\int\limits {sin^2(u)} \, du[/tex]
At this point, we apply the reduction formula:
Which is:
[tex]\int\limits {sin^n(u)} \, du = \frac{n-1}{2}\int\limits sin^{n-2}(u)\ du\ - \frac{cos(u)sin^{n-1}(u)}{n}\du[/tex]
Let n = 2; So, we have:
[tex]\int\limits {sin^2(u)} \, du = \frac{2-1}{2}\int\limits sin^{2-2}(u)\ du\ - \frac{cos(u)sin^{2-1}(u)}{2}\du[/tex]
[tex]\int\limits {sin^2(u)} \, du = \frac{2-1}{2}\int\limits sin^{0}(u)\ du\ - \frac{cos(u)sin^{2-1}(u)}{2}\du[/tex]
[tex]\int\limits {sin^2(u)} \, du = \frac{1}{2}\int\limits sin^{0}(u)\ du\ - \frac{cos(u)sin^{2-1}(u)}{2}\du[/tex]
[tex]sin^0(u) = 1[/tex]
So, we have:
[tex]\int\limits {sin^2(u)} \, du = \frac{1}{2}\int\limits 1\ du\ - \frac{cos(u)sin^{2-1}(u)}{2}\du[/tex]
Integrate 1 with respect to u
[tex]\int\limits {sin^2(u)} \, du = \frac{1}{2}u - \frac{cos(u)sin^{2-1}(u)}{2}\du[/tex]
[tex]\int\limits {sin^2(u)} \, du = \frac{1}{2}u - \frac{cos(u)sin(u)}{2}\du[/tex]
Recall that:
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \frac{1}{4}\int\limits {sin^2(u)} \, du[/tex]
So, we have:
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \frac{1}{4}[ \frac{1}{2}u - \frac{cos(u)sin(u)}{2}\du][/tex]
Open bracket
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \frac{1}{8}u - \frac{cos(u)sin(u)}{8}[/tex]
Recall that: [tex]u = 2x[/tex] and [tex]du = 2 \ dx[/tex] [tex]dx = \frac{1}{2}du[/tex]
So, the expression becomes:
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \frac{1}{8}2x - \frac{cos(2x)sin(2x)}{8}[/tex]
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \frac{1}{4}x - \frac{cos(2x)sin(2x)}{8}[/tex]
Add constant c
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \frac{1}{4}x - \frac{cos(2x)sin(2x)}{8} +c[/tex]
----------------------------------------------------------------------------------------
In trigonometry:
[tex]sin(2\theta) = 2sin(\theta)cos(\theta)[/tex]
Divide both sides by 2
[tex]\frac{1}{2}sin(2\theta) = \frac{2sin(\theta)cos(\theta)}{2}[/tex]
[tex]\frac{1}{2}sin(2\theta) = sin(\theta)cos(\theta)[/tex]
Replace 2x with [tex]\theta[/tex]
[tex]\frac{1}{2}sin(2*2x) = sin(2x)cos(2x)[/tex]
[tex]\frac{1}{2}sin(4x) = sin(2x)cos(2x)[/tex]
----------------------------------------------------------------------------------------
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \frac{1}{4}x - \frac{cos(2x)sin(2x)}{8} +c[/tex] becomes
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \frac{1}{4}x - \frac{sin(4x)}{2*8} +c[/tex]
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \frac{1}{4}x - \frac{sin(4x)}{16} +c[/tex]
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \frac{x}{4} - \frac{sin(4x)}{16} +c[/tex]
The solution can be further simplified as:
[tex]\int\limits {cos(x)\ sin(2x)\ sin(x)} \, dx = \frac{4x-sin(4x)}{16} +c[/tex]
Four brothers each bough two hot dogs and a bag of chips at the football concession stand if the bag of chips was $1.25 and the total was $18.20 what was the price of one hot dog
Answers
Answer:
$1.65
Step-by-step explanation:
1.25 x 4 = 5.00
18.20 - 5.00 = 13.20
13.20 / 8 = 1.65
they bought 8 hotdogs because there is 4 brothers and each ate 2 so 4 x 2 = 8
What is the value of 3 in the figure shown below?
E
с
4.2
4.2.
A
20
35°
62°
4.3
4.3
D
B
Answers
Answer:
[tex]35degrees[/tex]
Halla el promedio de los siguientes números:
37; 74; 11; 89; 59?
Answers
Answer:
37 + 74+ 11 +89 + 59 = 270 y este resultado lo vas a dividir por los números que son y son 5 números. La respuesta es 54
A TV Screen is measured according to the diagonal of the screen. If a 65-inch TV has a height f 33 inches, what is it's width?
Answers
Answer:
The width of the TV screen is 56 inches.
Step-by-step explanation:
We can find the width of the TV screen by using Pitagoras:
[tex] D^{2} = H^{2} + W^{2} [/tex]
Where:
D: is the diagonal = 65 in
H: is the height = 33 in
W: is the width =?
Then, the width is:
[tex] W = \sqrt{D^{2} - H^{2}} = \sqrt{(65 in)^{2} - (33 in)^{2}} = 56 in [/tex]
Therefore, the width of the TV screen is 56 inches.
I hope it helps you!
Answer:
56in
Step-by-step explanation:
The sum of two numbers is -35. The difference of the two numbers is -29. What are the two numbers?
Answers
Answer:
22 on now
Step-by-step explanation:
11+11
Two cities are approximately 350 miles apart on the surface of the earth. Assuming that the radius of the earth is 4,000 miles, find the radian measure of the central angle with its vertex at the center of the earth that has one city on one side and another one on the other side. a. 0.0775 radians b. 0.1025 radians c. 0.0875 radians d. 0.0825 radians e. 0.1075 radians ____ 6. Name the reference angle in both degrees and radians.
Answers
Answer:
[tex]\mathbf{\theta = 0.0875 \ radians}[/tex]
Step-by-step explanation:
Given that:
The distance between city A and city B = 350 miles; &
The radius of the earth = 4000 miles
We all know that:
l = rθ
[tex]\theta = \dfrac{l}{r}[/tex]
[tex]\theta = \dfrac{350}{4000}[/tex]
[tex]\mathbf{\theta = 0.0875 \ radians}[/tex]
From l = rθ; recall that l = a
so;
a = rθ
350 = 4000×θ
θ = 350/4000
θ = 35/400 degree
In radians;
θ = (35/400) × (π/180)
θ = (7π /800× 180) radians
Which system of equations could be graphed to solve the equation below
Answers
Plz guys help me plz
Answers
Answer:
B
Step-by-step explanation:
✔️Rate of change using two points on the line, say (2, 60) and (3, 75);
Rate of change (m) = ∆y\/∆x = (75 - 60) / (3 - 2) = 15/1
Rate of change = 15
This means each class costs $15
✔️Initial value is the y-intercept (b). It represents the initial start-up fee.
To find initial value/y-intercept (b), substitute m = 15 and (x, y) = (2, 60) into y = mx + b.
Thus:
60 = 15(2) + b
60 = 30 + b
60 - 30 = b
30 = b
b = 30
Therefore, initial start-up fee is $30.
John had to different syrups. Syrup A is 2 parts sugar and 8 parts water, and Syrup B is 3 parts syrup and 5 parts water. How much of each should John mix together to get 280 quarts of syrup that is 3 parts sugar and 7 parts water?
Answers
It all started when my mom met my dad...
You'll know the rest
A family is driving 550 miles to their grandmother's house. They have already driven 350 miles.
Which equation shows the rate, r, in miles per hour, the family must drive to reach their
grandmother's house in 4 hours?
4r + 350 = 550
550 + 350 = 4r
4++ 350 = 550
T
550 - 350
Answers
Answer:
i tink is b
Step-by-step explanation:
The equation that represents the situation will be 4r + 350 = 550. Then the correct option is A.
What is speed?Speed is defined as the length traveled by a particle or entity in an hour. It is a scale parameter. It is the ratio of length to duration.
We know that the speed formula
Speed = Distance/Time
A family is driving 550 miles to their grandmother's house. They have already driven 350 miles.
Let 'r' be the speed of the car in miles per hour. The family must drive to reach their grandmother's house in 4 hours. Then the equation is given as,
4r + 350 = 550
The equation that represents the situation will be 4r + 350 = 550. Then the correct option is A.
More about the speed link is given below.
https://brainly.com/question/7359669
#SPJ5