Answer:
[tex]P(x,y) = (0,\frac{11}{5})[/tex]
Step-by-step explanation:
Given
[tex]A = (-2,1)[/tex]
[tex]B = (3,4)[/tex]
[tex]m:n = 2:3[/tex]
Required
Determine the coordinates of P
The coordinate of a point when divided into ratio is:
[tex]P(x,y) = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})[/tex]
Where
[tex](x_1,y_1) = (-2,1)[/tex]
[tex](x_2,y_2) = (3,4)[/tex]
[tex]m:n = 2:3[/tex]
This gives:
[tex]P(x,y) = (\frac{2 * 3 + 3 * -2}{2 + 3},\frac{2 * 4 + 3 * 1}{2 + 3})[/tex]
[tex]P(x,y) = (\frac{6 - 6}{5},\frac{8 + 3}{5})[/tex]
[tex]P(x,y) = (\frac{0}{5},\frac{11}{5})[/tex]
[tex]P(x,y) = (0,\frac{11}{5})[/tex]
The price of a pair of shoes increases from $54 to $58. What is the percent increase to the nearest percent?
Answer:
the percent is 400%
Step-by-step explanation:
54 to 58 is 4 so 4÷100 is 0.04 convert to a percent is 400%
2h + (6 + h) + 6 ∙ 2
Answer: 3h+18
Step-by-step explanation:
2h+6+h+12
add like terms (add all the the h’s) which equals 3h and add 6+12 which equals 18 so your answer is 3h+18
Please find the slope of these Thank you sm
Answer:
28?
Step-by-step explanation:
Look at the top right corner, then count!
If a space shuttle travels completely around the world in 90 minutes, how many times will it circle the globe in a full week?
(I need the answer right now! I'm doing test. Anything helps!)
Answer:
112
Step-by-step explanation:
10080 minutes in a week, 10080 divided by 90 = 112 : )
1) Write the equation parallel to the following equations that would go through (2,7):
a) Y = 3x - 2
b) Y = % x + 3
c) Y = x - 6
d) Y + 2x = 8
So 1 equation per letter
Note: Your option 'b' is somewhat ambiguous, so I am assuming you meant to write the equation y=2x+3 for the 'b' option.
Answer:
the equation y = 2x + 3 has slope m=2 and the y-intercept is 3, and also PASSES through the point (2, 7).
Step-by-step explanation:
An equation parallel to the given line equation will have the same slope.Given the point (2, 7) from which the equation passes through.
so checking all the equations in the options to check whether any equation passes through or not.
Checking the option 'a':
y = 3x - 2
Putting (2, 7)
7=3(2)-2
7=6-2
7=4
L.H.S is not equal to R.H.S
Therefore, the option 'a' is NOT correct.
So, the equation y = 3x - 2 will NOT PASS through the point (2, 7)
Checking the option 'b':
y = 2x + 3
Putting (2, 7)
7=2(2)+2
7=7
7=7
L.H.S is equal to R.H.S
Therefore, option 'b' is the CORRECT option.
So, the equation y = 2x + 3 will PASS through the point (2, 7)
Checking the option 'c':
y = x-6
Putting (2, 7)
7=2-6
7=-4
L.H.S is not equal to R.H.S
Therefore, the option 'c' is NOT correct.
So, the equation y = x-6 will NOT PASS through the point (2, 7)
Checking the option 'd':
y + 2x = 8
Putting (2, 7)
7+2(2)=8
7+4=8
11=8
L.H.S is not equal to R.H.S
Therefore, the option 'd' is NOT correct.
So, the equation y + 2x = 8 will NOT PASS through the point (2, 7)
Therefore, considering the above analysis, we conclude that:
Option 'b' is the CORRECT option.
So, the equation y = 2x + 3 will PASS through the point (2, 7).
also
The slope-intercept form of the equation is
[tex]y=mx+b[/tex]
where m is the slope and b is the y-intercept.
Therefore, the equation y = 2x + 3 has slope m=2 and the y-intercept is 3, and also PASSES through the point (2, 7).
For Carl's birthday, his grandparents gave him a $50 gift card to a local movie theater. The theater charges $6 admission for each movie. How can Carl use an arithmetic sequence to determine the value left on his card after each movie he sees?
Answer:
50 - 6x = leftover value
Step-by-step explanation:
X is the amount of movies he has seen (pays $6 for each movie)
Carl can use the function → a(n) = 56 - 6n determine the value left on his card after each movie he sees.
We have Carl's grandparents who gave him a $50 gift card to a local movie theater. The theater charges $6 admission for each movie.
We have to check how can Carl use an arithmetic sequence to determine the value left on his card after each movie he sees.
What is an Arithmetic sequence?An arithmetic sequence is a sequence of numbers in which every term (except the first term) is obtained by adding a constant number to the previous term is called an arithmetic sequence.
According to the question, we have -
Amount in Gift card = $50
Charges for Admission to every new movie = $6
Therefore, we can create a arithmetic sequence with -
a = 50 and d = -6
Therefore -
a(n) = a + (n - 1)d
a(n) = 50 + (n - 1)(-6)
a(n) = 50 - 6n + 6
a(n) = 56 - 6n
where n denotes the number of movies he watch and a(n) is money remained after watching the movies.
Hence, Carl can use the function a(n) = 56 - 6n determine the value left on his card after each movie he sees.
To solve more questions on Arithmetic sequences, visit the link below-
https://brainly.com/question/21406026
#SPJ2
I need help plz help
Answer:
GET A CALCULATOR
Answer is: 78
Step-by-step explanation:
Find the length of side x in simplest radical form with a rational denominator.
Answer:
[tex] x = \frac{\sqrt{6}}{2} [/tex]
Step-by-step explanation:
Reference angle = 45°
Opposite side = x
Hypotenuse = √3
Use the following trigonometric ratios formula to find x:
[tex] sin(\theta) = \frac{opp}{hyp} [/tex]
Plug in the values
[tex] sin(45) = \frac{x}{\sqrt{3}} [/tex]
Multiply both sides by √3
[tex] \sqrt{3}*sin(45) = x [/tex]
[tex] \sqrt{3}*\frac{\sqrt{2}}{2} = x [/tex]
[tex] \frac{\sqrt{3*2}}{2} = x [/tex]
[tex] \frac{\sqrt{6}}{2} = x [/tex]
what is the decibel level of the noise from a fire alarm with intensity 10^-1 watts per square inch
Answer:
110 db
Step-by-step explanation:
I really need help with this math work
Answer:
Step-by-step explanation:
The graph below is how you label the points, where to put them and the line that you need to draw to get the points.
Everything is laid out for you to copy. Start at the lower right and go to the to the upper left on your table.
Use the product-to-sum identities to rewrite the following expression as a sum or difference.
2cos(2x)cos(2x)
1 and 2, please and thank you!
Rewrite 1/4 / 1/3 as a unit rate
Answer:
0.25 and 0.33?
Step-by-step explanation:
What are the intercepts of –3x + 5y – 2z = 60? (–3, 0, 0), (0, 5, 0), (0, 0, –2) (–180, 0, 0), (0, 300, 0), (0, 0, –120) (–20, 0, 0), (0, 12, 0), (0, 0, –30) (–60, 0, 0), (0, 60, 0), (0, 0, –60)
Answer:
(-20, 0, 0)
(0, 12, 0)
(0, 0, -30)
Answer:
(-20, 0, 0)
(0, 12, 0)
(0, 0, -30)
Find the equation in point-slope form of a line that has a slope of 2 and goes through the point (-5, 3).
Answer:
The answer is
[tex] \huge y - 3 = 2(x + 5)[/tex]
Step-by-step explanation:
To find an equation of a line in point slope form when given the slope and a point we use the formula
[tex]y - y_1 = m(x - x_1)[/tex]
From the question we have the final answer as
[tex]y - 3 = 2(x + 5)[/tex]
Hope this helps you
Someone help me please
Express the cosine of < W as a ratio of the given side lengths.
number 7
solve for c
Answer:
60
Step-by-step explanation:
Since equalateral. The angles are the same.
What is the slope of the line in the graph?
Answer:
the slope is 1
Step-by-step explanation:
i cant tell if the y-intercept is 1 or -1
When the sun is at a certain angle in the sky, a 20-foot flagpole will cast a 16-foot shadow. How tall is a person if he casts a 4.4-foot shadow at the same time? The person is blank feet tall. Enter only the number.
Answer:
The person is 5.28 feet tall
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Expand and simplify 2(x + 7) + 3(x + 1)
+
Answer:
I don't know how to expand but I can simplify please mark me
Step-by-step explanation:
2(x + 7) + 3(x + 1)
=2x + 14 + 3x + 3
=2x-3x + 3-14
=x+11
Two cards are randomly pulled out of a standard pack of 52 cards. What is the probability
that both are face cards?
A. 9/169
B. 12/221
C. 33/676
D. 11/221
========================================================
Work Shown:
For any given suit, there are 3 face cards: Jack, Queen, King.
There are 4 suits, leading to 4*3 = 12 face cards out of 52 total.
The probability of pulling out a face card is 12/52.
After that card is selected, we have 12-1 = 11 face cards left and 52-1 = 51 cards left overall. This is assuming a replacement is not made, or the card is not put back.
The probability of getting another face card, given the first selection was a face card, is 11/51.
Multiplying the two fractions gives:
P(2 face cards) = P(1st facecard)*P(2nd facecard given 1st facecard)
P(2 face cards) = (12/52)*(11/51)
P(2 face cards) = (12*11)/(52*51)
P(2 face cards) = (3*4*11)/(13*4*3*17)
P(2 face cards) = (11)/(13*17)
P(2 face cards) = 11/221
Halla la suma de 3, ocho veces un número, y tres veces el mismo número
Answer:
3 + 11x
Step-by-step explanation:
Nuestra ecuación será: 3 + 8x + 3x
No sabemos qué es x, así que simplemente sumamos términos semejantes y obtenemos 3 + 11x
Espero que esto haya ayudado, por favor marque lo más inteligente, ¡gracias!
A pancake recipe calls for 4 of a cup of powdered milk and 2 cups of whole wheat flour for each batch of pancakes.
If Ruby plans on making 4 batches of pancakes, how many combined cups of powdered milk and whole wheat finur does she need?
9514 1404 393
Answer:
24 cups
Step-by-step explanation:
One batch takes a combined total of 4 + 2 cups = 6 cups of milk and flour. Then 4 recipes will take ...
4 × 6 cups = 24 cups . . . combined
Y is directly proportional to x when x=540 y=10 calculate the value of y when x=540.
Answer:
Step-by-step explanation:
Y should still be 10 since x is 540
Translate the phrase into an algebraic expression.
The product of c and 2
Answer:
c+2
Step-by-step explanation:
Im not 100% sure I understand what you mean by this but anytime it says and in a statement it means + so c+2 would be the answer.
For a party, you buy 4 3/8 lbs of salt water taffy. If 150 people are attending, how much salt water taffy does each person get?
Answer:
..
Step-by-step explanation:
Two statements are missing reasons.What reason can be used to justify both statements 2 and 3?
Simplify the followingexpression (-5)(-3)(4)
brad had $10 to spend at the Ruby’s. 1/2 pound of sausage and 1 1/4 Pound of chicken. How much money did brad have left after he pays for his order?
Answer:
1.76
Step-by-step explanation:
i cant explain ;w;
WILL RATE 5 stars for correct answer