Answer:
P (5 , 10)
Step-by-step explanation:
point A (1,4) and point D (7,13), AP/PD = 2:1
P (x,y) : x = x₁ + (a/(a+b) * (x₂-x₁)) y = y₁ + (a/(a+b) * (y₂-y₁)) .... a=2 b=1
x = 1 + 2/(2+1) * (7-1) = 5
y = 4 + 2/(2+1) * (13-4) = 10
P (5 , 10)
Find all possible values of P in x^2-10x+P=(x-A)(x-B) if P, A and B are all whole numbers
The value of P in the expression [tex]x^2-10x+P=(x-A)(x-B)[/tex] is 25
Given the expression [tex]x^2-10x+P=(x-A)(x-B)[/tex]
To get the value of P, we will use the completing the square method;
Add the square of the half of the coefficient of x
The coefficient of x is -10Half of the coefficient of x is -10/2 = 5Square of half of the coefficient of x = 5^2 = 25Hence the complete quadratic expression will be [tex]x^2-10x + 25[/tex]
Hence the value of P in the expression [tex]x^2-10x+P=(x-A)(x-B)[/tex] is 25
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Brainliest Question!!
Q1.) 5929 students are sitting in an auditorium in such a manner that there as are many students in a row as there are rows in the auditorium. How many rowsare there in the auditorium?
Answer:
77 rows
Explanation:As per the provided information in the given question, we have :
Total number of students sitting in the auditorium = 5929 studentsThere are as many students in a row as there are rows in the auditorium.We've been asked to calculate the number of rows in the auditorium.
Let us suppose the the number of rows be x. Then, the number of number of students in each row becomes x as there are as many students in a row as there are rows in the auditorium.
Now, we have to simply frame a linear equation to tackle this question. Total number of the students will be equal to the product of number of students in each row and the number of rows.
Writing it in the form of a linear equation,
[tex] \longrightarrow \sf{\quad {5929 = x \times x}} \\ [/tex]
As there are 5929 students sitting in the auditorium.[tex] \longrightarrow \sf{\quad {5929 = x^2}} \\ [/tex]
Now, put the square root symbol on both sides.[tex] \longrightarrow \sf{\quad {\sqrt{5929} = \sqrt{x^2}}} \\ [/tex]
Square root of x² is x since x × x is x².[tex] \longrightarrow \sf{\quad {\sqrt{5929} = x }} \\ [/tex]
Now, we have to find the value of √5929. By prime factorisation, 5929 = 7 × 7 × 11 × 11, make the pairs of the common factors and their product will be the square root of 5929 that is √5929 = 7 × 11 = 77.
[tex] \longrightarrow \quad\underline{\boxed{ \pmb{\frak{77 = x}} }} \\ [/tex]
Therefore, there are 77 rows in the auditorium.
What is the x-intercept of the line 2x -3y = -6?
Answer:
The x-int is 3/2y - 3 (x=3/2y-3)
Step-by-step explanation:
2x-3y=-6
2x=3y-6
x=3/2y-3
Please someone help me with this im giving brainliest!!
Answer:
A) Second step
would be the answer
David is making rice for his guests based on a recipe that requires rice, water, and a special blend of spice, where the rice-to-spice ratio is 15:1. He currently has 40 grams of the spice blend, and he can go buy more if necessary. He wants to make 10 servings, where each serving has 75 grams of rice. Overall, David spends 4.50 dollars on rice.
What is the price of rice per gram?
Answer:
The price of rice per gram is 0.006$
Step-by-step explanation:
I. David wants to make 10 servings,
each require 75 g of rice and 5 spice. When ratio is 15:1
If rice : spice = 75 : x
15x = 75
x = 5
=> 5 * 15 : 1 * 5
= 75 : 5
So rice : spice is 75 : 5
II. When 1 serving require 75 : 5
So 10 servings is 10 * 75 : 5 * 10
= 750 : 50
So he must has 750 grams rice and 50 grams spice.
III. He must buy spice and rice which..
a) He has 40 grams spice, he'll buy for 10 grams spice.
b) He has no rice, he'll buy for 750 grams rice.
But the question only ask for price of rice which he spend 4.5$
= [tex]\frac{4.5}{750}[/tex]
= 0.006$
In 1 gram of rice he spend 0.006$
If 750 grams of rice, he'll spend 750 * 0.006$ = 4.5$ => true
That makes 0.006$ is the right answer.
Hope that help :)
Dividing fractions word problems 1 1 A 16-kilometer stretch of road needs repairs. Workers can repair 2- kilometer of road per week. 4 How many weeks will it take to repair this stretch of road? Weeks Stuck? Reviews related articles/videos or use a hint.
Answer:
8 weeks
Step-by-step explanation:
16km is the total, 2km is what is completed in a single (1) week.
so our equation is 16÷2
Week 1: 2km
Week 2: 4km
Week 3: 6km
Week 4: 8km
Week 5: 10km
Week 6: 12km
Week 7: 14km
Week 8: 16km (final)
Will give brainiest to correct answer
Answer:
8 x 4 = 5 fours + 3 fours
= 20 + 12
= 32
Hope This Helps! •v•
-1.5x – 2x - 12(x + 10)
Answer:
-15.5x-120
Step-by-step explanation:
-1.5x-2x-12(x+10)=-1.5x-2x-12x-120
=-15.5x-120
Answer:
-3.5x - 12(x + 10)
-3.5x - 12x - 120
-15.5x - 120
Step-by-step explanation:
brainliest plz
g(x)=(x-2)^2 + 1
Explain the transformation
Answer: The graph of g(x) will be shifted 2 units left and 1 unit down compared to the parabola, f(x).
Step-by-step explanation:
6 Ella is a salesperson for a cosmetics company. She is paid $500 per week and a commission of 3% on sales in excess of $800.
What does Ella earn in a week in which she makes sales of $600?
The total amount that Ella earned in a week in which she made sales of $600 is; $500
How to solve Algebra Word problems?The parameters given about Ella who is a salesperson are;
Amount paid per week = $500
Commission on sales exceeding $800 = 3%
Total sales for the week = $600
From the parameters above, we see that she didn't make sales exceeding the commission limit of $800 and as such she didn't earn any extra commission.
Therefore her weekly pay was still $500
Read more about Algebra Word Problems at; https://brainly.com/question/21405634
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HELP! Work out the question below.
Step-by-step explanation:
area of circle = πr²
radius ² = 9.15 = 83.72 (approx.)
now,
→ 22/7 × 83.72
→ 22 × 11.96 = 263.02 m²
therefore, area the centre circle is 263.02 according to nearest circle the area is 263 m².
hope this answer helps you dear..take care and may u have a great day ahead!
Write each equation in slope intercept form. underline the slope and circle the y intercept in each equation 5x + 3y = 30
Answer:
y=-5/3x+10
Step-by-step explanation:
slope is -5/3 and the y int. is 10. Hope this helps!
Solve for the indicated variable. Include all of your work in your answer. Submit your solution.
Answer:
[tex]h = \frac{2a}{a + b} [/tex]
Damon skateboards from his house to school 4 miles away. It takes him 20 minutes to get to school.
How many minutes will it take Damon to skateboard to his friend Stefan's house, which is 2 1/2 miles from school, if he travels at the same rate that he did from his house to school.
Answer:
about 12 1/2 minutes
each mile he went to school took him 5 minutes and if his friend's house is 2 1/2 miles away then 2.5x5= 12.5
======================================================
Work Shown:
20 min = 20/60 = 1/3 of an hour
distance = rate*time
d = r*t
4 mi = (x mph)*(1/3 hr)
4 = x*(1/3)
4*3 = x
x = 12 mph
Damon's speed is 12 mph
--------------
Now calculate the time it takes go travel to his friends house.
d = r*t
2.5 = 12*t
t = (2.5)/12
t = 25/120
t = (5*5)/(5*24)
t = 5/24
He takes 5/24 of an hour to go from school to Stefan's house.
Multiply by 60 to convert to minutes
(5/24)*60 = 12.5 minutes
Simplify these epressions.
If j= 14, find the value of 1/2j.
Answer:7
Step-by-step explanation:
1/2 of j is the same as j ÷ 2
14 ÷ 2 = 7
A carton measures 200 cm by 100 cm by 100 cm.
The carton is to be completely filled with boxes.
Each box measures 50 cm by 20 cm by 20 cm.
Work out the number of boxes which can completely fill the carton.
Answer:
the answer is below
Step-by-step explanation:
multiply like this
L×b×hFind the equation (in terms of x) of the line through the points (-2,4) and (2,0)
y =
Answer:
y = - x + 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, 4 ) and (x₂, y₂ ) = (2, 0 )
m = [tex]\frac{0-4}{2-(-2)}[/tex] = [tex]\frac{-4}{2+2}[/tex] = [tex]\frac{-4}{4}[/tex] = - 1 , then
y = - x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (2, 0 )
0 = - 2 + c ⇒ c = 0 + 2 = 2
y = - x + 2 ← equation of line
Consider the following data set:
2 , − 3 , − 3 , 1 , 8 , 12 , 14 , 2
Find the lower quartile.
Answer:
-3, -3, 1, 2, | 2, 8, 12, 14
Lower quartile is negative 1
Because the middle number is the median because there is an odd set of numbers.
To find the quartile you have to arrange the numbers from lowest to highest.
When you find middle number you have to find the half of the lower half of the middle, which you will solve the lower quartile. Since there are even numbers you add the two middle numbers and divide it by 2. And you'll get the answer hope that helped
Simplify the ratio. Use values in terms of the smaller measurement units.
6 feet to 80 inches
Step-by-step explanation:
1 ft = 12 in
=>
6 ft = 12×6 = 72 in
so, the given ratio is
6 ft / 80 in = 72 in / 80 in = 9/10 in
Cross products: what’s the value of the cross product?
Can someone please tell me the answer to this
Answer:
x equals to 5
jist cross multiply
Write an equation in Point-Slope form for a line that passes through the points (-10,8) & (-20,-12)
surprise i need help again
the first one is the answer using the first ordered pair. the second is the answer using the second ordered pair.
Write the prime factorization of 128. Use exponents when appropriate and order the factors from least to greatest
128 = 2^7
There are just seven 2's being multiplied to get to 128,
We know that the factors of 128 are : 1, 2, 4, 8, 16, 32, 64, and 128 itself.
But we need a prime factorization, and so [tex]2^{7}[/tex] is the prime factorization of that number
A line that includes the points (-5, 7) and (g, -6) has a slope of -1. What is the value of g?
Answer:
g = 8
Step-by-step explanation:
slope formula: (y2-y1)/(x2-x1)
-1 = (-6 -7) / (g +5)
-1= -13/x + 5
-1(x+5)= -13
-x - 5 = -13
-x = -8
x = 8
Calvin kicked a soccer ball laying on the ground. It was in the air for 5 seconds before it hit the ground. While the soccer ball was in the air it reached a height of approximately 25 feet. Assuming that the soccer ball’s height (in feet) is a function of time (in seconds), what are the domain and range in the context of this problem?
Refer to the attachment
The sum of four consecutive integers is 390. Find the integers (Please show your work)
Answer:
The integers are 96, 97, 98, and 99
Step-by-step explanation:
first integer = x
second integer = x+1
third integer = x+2
fourth integer = x+3
(that what consecutive means, like 4, 5, 6, 7 are just adding 1 more each time
The sum (add them all up) is (=) 390 so
x+(x+1)+(x+2)+(x+3) = 390
4x+6=390
4x+6-6=390-6
4x=384
4x/4=384/4
x=96
x+1=97
x+2=98
x+3=99
The integers are 96, 97, 98, and 99
please help me~~......
Step-by-step explanation:
vyo yesko solutions yeti matra xa
What is the measure of ∠ABC?
Answer:
not sure
Step-by-step explanation:
I'm not sure how to do this guys I am very sorry for the inconvenience
Step-by-step explanation:
brother or sister whoever you are, please try to post the full question.
For the function k(x)=-1/16x-8 what is the inverse function of k^-1(x)?
Answer:
k^-1(x) = -1/128+16x
Domain = ]-infinity,-8[ U ]-8,infinity[
Range = ]-infinity,0[ U ]0,infinity[
Step-by-step explanation:
k(x) = -1/16x = -8
y = -1/16x = -8
x = -1/16y = -8
y = -1/128+16x
k^-1(x) = -1/128+16x
Answer:
D
Step-by-step explanation:
e2021 on god
There are 26 red cards and 26 black cards in a standard deck of playing cards, for a total of 52 cards. There are 4 kings to a deck, two of which are red kings and two of which are black kings. A card will be randomly selected from a standard deck of playing cards. Let A represent selecting a king and let B represent selecting a red card. Calculate the following probabilities:
P (A) =
P (A ׀ B) =
Based on these probabilities, are A and B independent events? Explain your reasoning.