Answer:
[tex]\displaystyle y=\frac{3}{5}x-1[/tex]
Step-by-step explanation:
The Equation of a Line
The equation of the line in slope-intercept form is:
[tex]y=mx+b[/tex]
Where m is the slope and b the y-intercept.
The equation of a line passing through points (x1,y1) and (x2,y2) can be found as follows:
[tex]\displaystyle y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
We are given the points (5,2) and (0,-1), thus:
[tex]\displaystyle y-2=\frac{-1-2}{0-5}(x-5)[/tex]
Operating:
[tex]\displaystyle y-2=\frac{-3}{-5}(x-5)[/tex]
[tex]\displaystyle y-2=\frac{3}{5}(x-5)[/tex]
To find the slope-intercept form, we continue to simplify the expression:
Removing the parentheses:
[tex]\displaystyle y-2=\frac{3}{5}x-\frac{3}{5}\cdot 5[/tex]
[tex]\displaystyle y-2=\frac{3}{5}x-3[/tex]
Adding 2:
[tex]\displaystyle y=\frac{3}{5}x-3+2[/tex]
[tex]\mathbf{\displaystyle y=\frac{3}{5}x-1}[/tex]
Somebody help this assignment is due tonight for a grade
Daniela has a container full of marbles. She gives away some of her marbles every day for five days. Each day, she has 1/4 the number of marbles she had a previous day. What fraction of the original number of marbles does Daniela have left after five days?
Given:
Daniela gives away some of her marbles every day for five days.
Each day, she has [tex]\dfrac{1}{4}[/tex] the number of marbles she had a previous day.
To find:
The fraction of the original number of marbles Daniela have left after five days.
Solution:
Let the origin number of marble be x.
Number of marbles after one day = [tex]\dfrac{1}{4}x[/tex]
Number of marbles after two days = [tex]\dfrac{1}{4}(\dfrac{1}{4}x)[/tex]
= [tex](\dfrac{1}{4})^2x[/tex]
Similarly,
Number of marbles after three days = [tex](\dfrac{1}{4})^3x[/tex]
Number of marbles after four days = [tex](\dfrac{1}{4})^4x[/tex]
Number of marbles after five days = [tex](\dfrac{1}{4})^5x[/tex]
= [tex]\dfrac{1}{1024}x[/tex]
Since, [tex]\dfrac{1}{1024}[/tex] is multiplied with x, therefore, the number of marbles Daniela have left after five days is [tex]\dfrac{1}{1024}[/tex] part of original number of marbles.
According to Hatfield, which kind of love is about caring and intertwining your
life?
A. Attachment
B. Intimate love
C. Passionate love
D. Companionate love
the correct answer is companionate love.
According to Hatfield, the kind of love that is about caring and intertwining your life is companionate love.
Option D is the correct answer.
What is compassionate love?Companionate love is a type of love characterized by feelings of intimacy and affection but without the intense passion or sexual attraction associated with passionate love.
We have,
Companionate love typically involves a deep level of commitment, trust, and mutual support between partners who have a strong emotional bond.
In companionate love, partners may still experience physical attraction to each other, but the primary focus is on building a strong, long-term partnership based on mutual respect, communication, and shared experiences.
This type of love is often seen in long-term relationships or marriages, where partners have developed a deep understanding and appreciation for each other over time.
Overall, companionate love is about caring for and supporting your partner through the ups and downs of life and building a life together based on shared values, goals, and interests.
Thus,
The kind of love that is about caring and intertwining your life is companionate love.
Learn more about compassionate love here:
https://brainly.com/question/28234675
#SPJ2
1) In triangle ABC, we know that AB = 5, BC = 9, and CA = 7. D is a point on BC such that AD bisects ∠BAC. What is DC?
2)] O is the circumcenter of 4ABC. If OB = OC = BC, what is ∠BAC
9514 1404 393
Answer:
1) 5.25
2) 95.74°
Step-by-step explanation:
1) The angle bisector divides the triangle into proportional segments.
DC/BD = CA/BA
We know that BD+DC = 9, so we can fill in the above equation with known values to get ...
DC/(9-DC) = 7/5
5·DC = 7(9 -DC) . . . . cross multiply
12·DC = 63 . . . . . add 7·DC
DC = 63/12 = 5.25
__
2) Angle BAC can be found using the Law of Cosines.
a² = b² +c² -2bc·cos(A)
cos(A) = (b² +c² -a²)/(2bc) = (7² +5² -9²)/(2·7·5) = -7/(70) = -1/10
A = arccos(-1/10) ≈ 95.739°
The measure of ∠BAC is about 95.74°.
_____
Additional comment
The circumcircle is irrelevant to the questions asked here.
are the angels vertical or adjacent
Answer:
Adjacent
Step-by-step explanation:
Adjacent angles are when two angles have a common side and a common vertex (corner point) and don't overlap.
Vertical angles are each of the pairs of opposite angles made by two intersecting lines.
In this diagram, the angles are adjacent.
Hope this helps and answers your question! :)
determine the range of the following graph
Answer:It has to be more clear
Step-by-step explanation:
A girl's feet are negative 2 over 4 yards from the surface of a pool. A boy's feet are negative 3 over 4 yards from the surface of the pool. Determine whose feet are closer to the surface. pls help asap
HURRY WILL MARK BRAINLESS
Which expression is equivalent to ပါ။ (C) - -
First to Answer
Answer:
The correct option is the third option. -2 1/4 / -2/3 = 3 3/8
-9/4 / -2/3 = 3 3/8
On a 40-question test, Peggy answers 34 questions correctly. What percent of the questions does she answer correctly?
A. 85%
B. 0.75
C. 1.17%
D. 8.5%
Answer:
A.) 85%
Step-by-step explanation:
rearranging formula Solve 4(x + 3) = 6
Answer:
x = - [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
Given
4(x + 3) = 6 ← distribute left side
4x + 12 = 6 ( subtract 12 from both sides )
4x = - 6 ( divide both sides by 4 )
x = [tex]\frac{-6}{4}[/tex] = - [tex]\frac{3}{2}[/tex]
A 20-ounce bottle of shampoo costs $23. What is the price per ounce?
Answer:
$1.15 per ounce.
Step-by-step explanation:
$1.15 x 20 = $23.00
Answer:
$0.87
Step-by-step explanation:
A fish tank has 42 gallons of water and is being drained at a rate of 2 gallons per minute. Another tank is empty and is being filled at a rate of 4 gallons per minute. After how many minutes will both tanks have the same amount of water?
Answer:
6 mins and 30 secs
Step-by-step explanation:
After 7 minutes, both tanks have the same amount of water.
What is a mathematical function, equation and expression?function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.
Given is that a fish tank has 42 gallons of water and is being drained at a rate of 2 gallons per minute. Another tank is empty and is being filled at a rate of 4 gallons per minute.
We can write the drain function as -
D(x) = 42 - 2x
The function that gives the amount of water in second tank will be -
F(x) = 4x
Equating both, we get -
D(x) = F(x)
42 - 2x = 4x
42 = 6x
x = 42/6
x = 7
Therefore, after 7 minutes, both tanks have the same amount of water.
To solve more questions on functions, expressions and polynomials, visit the link below -
brainly.com/question/17421223
#SPJ2
HELP ME PLEASE ASAP?!?!
What is the area of the obtuse triangle given below?
Answer:c
Step-by-step explanation:
Help me! I’ll mark you brainly!
Answer:
Step-by-step explanation:
15) 1
16) 4
17) 21.95
Even numbers greater than -37 but less than -25
Answer:
-36, -34, -32, -30, -28, -26
Step-by-step explanation:
what's £1200 plus 20% tax
Answer:
1,439.75 pounds
Step-by-step explanation:
i cant give perfect explination because i deal with $ not pounds but that should be right
On Monday, I bought 1 dog and 2 cats for a total cost of $6.75. On Tuesday, /
bought 1 dog and 3 cats for a total cost of $9.25. Can you find the price of each
item
Write an expression that matches the sum of 2 thirteens and 3 sixes.
plz help HW
plz help HW
plz help HW
Answer:
55°, 70°, 55°Step-by-step explanation:
Δ MHP is right triangle, therefore
m∠P = 90° - 35° = 55°ΔMNP is isosceles triangle as MN = MP, therefore
m∠N = m∠P = 55°m∠NMP = 180° - 2*55° = 70°55°, 70°, 55° tbh i just got it from googgg le
Leslie can buy her dog's food at Petco for $25 and receive 9 packs with four cans in each. Leslie can buy the same food at Petsmart for the same price with 7 packs of six cans in each. Which store should Leslie buy her dog food from?
Answer:
Leslie should buy her dog food from Petsmart because the price per can is cheaper
Step-by-step explanation:
Step one;
given data
At Petco, we are told that she receives 9 packs with four cans each for $25
Hence Petco gives a total of 9*4= 36cans
the cost of each can will be 25/36
=$0.69 per can
Step two:
At Petsmart, we are told that she receives 7 packs with six cans each for $25
Hence Petsmart gives a total of 7*6= 42cans
the cost of each can will be 25/42
=$0.59 per can
Leslie should buy her dog food from Petsmart because the price per can is cheaper
A museum gift shop manager wants to put 1,644 polished rocks into small bags to sell as souvenirs. If the shop manager wants to put 13 rocks in each bag, how many complete bags can be filled? How many rocks will be left over?
Explain why 2 times 2 is 4
Answer:
2 times 2 is 4
Step-by-step explanation:
okay so i have 2 cookies right, my big brother gave me 2 more. how many do i have ? i should have 4 because 1 plus 1 plus 1 plus 1 is 4.
Write an equation in slope-intercept form of the line that passes through the points.
Answer: y = x + 4
Step-by-step explanation: use the slope intercept form y = mx+b
2) Read and answer the following
12 points
Kenisha goes to the market with $30 in
her wallet. She is going to buy candy and
water bottles. Each candy at the market
costs $2 and each water bottle costs $1.
Which of the following equations can
represent the amount of candy and water
Kenisha can buy at the market?
$30 = c + $2w
O $30 = $2c + W
$30 + w = $20
$30 -2C = -W
The value of a mountain bike y (in dollars) can be approximated by the model y=200(0.75)t, where t is the number of years since the bike was new.
Would this table show growth or a decline (decay)? How do you know?
Identify the annual percent increase or decrease in the value of the bike.
Estimate when the value of the bike will be $50.
which of the following must be true
Answer: it is c
Step-by-step explanation:
Michelle has x dollars Tony has 9 dollars fewer than Michelle. Drag and drop the expression to write an expression that represents the total amount of money Michelle and Tony have together.
do you want to be friends cos i riley riley riley riley riley riley need some friends because i only have 2 friends and 1/2 of the answer is 0 and the other 1/2 of the answer is 13 so your answer is 13 because 0-13=13 please follow me and i'm not saying this in a weird way i just need some flowers and some friends...please i'm begging you please friend me and follow me!!!................
Answer:
x +(x-9)
Step-by-step explanation:
x is Michelle's money. Tony has 9 dollars less than michelle x-9. to find out how much they have in total you have to put it together.
Find the value of x.
28°
The value of x is 56 degrees.
What is a Right Angle Triangle ?A right angle triangle is any angle in which the value of the angle is 90°
The value of the other angle in the right angle will be 90 - 28 = 62°
Since the two triangles in the figure are isosceles triangles, the two angle at the base of an isosceles triangle will be the same.
Sum of the angle of a triangle = 180°
Then, 62 + 62 + x = 180
124 + x = 180
make x the subject of formula
x = 180 - 124
x = 56
Therefore, the value of x is 56 degrees.
Learn more about Right Angle here: https://brainly.com/question/24323420
#SPJ1
Forensic scientists can determine the approximate height that a person was by measuring the length of the femur (thigh bone). They use a formula to calculate the person’s height, based on the person’s race and gender. The formula for a Caucasian female is given by: height = 2.47f + 54.13, where f is the length of the femur in centimeters.
To the nearest centimeter, how many centimeters long is the femur of a female who is 168 centimeters tall?
46 centimeters
90 centimeters
14 centimeters
469 centimeters
Answer:
46 centimeters.
Step-by-step explanation:
First you need to plug in the numbers you have.
Your equation now is:
168 = 2.47f + 54.13.
You could use the process of elimination, or you could solve it algebraically.
168 = 2.47f + 54.13.
What you want to do is subtract 54.13 from both sides.
113.87 = 2.47f.
Now divide 2.47 from both sides.
46
The length of the femur of a female with a height of 168 cm is; Option A: 45 centimeters.
We are given the formula for Caucasian female's height as;
H = 2.47f + 54.13
Where;
f is the femur length in cm.
H is height in cm
Thus, if a females height is 168 cm, then;
168 = 2.47f + 54.13
Using subtraction property of equality by subtracting 54.13 from both sides gives;
168 - 54.13 = 2.47f
113.87 = 2.47f
Using division property of equality, divide both sides by 2.47 to get;
113.87/2.47 = f
f ≈ 46 cm
Read more at; https://brainly.com/question/11569158
Solve -4h-3>4
Please answer as fast as you can.
Answer:
h< −7/4
Step-by-step explanation:
Answer:
h<−7/4
Step-by-step explanation:
−4h−3>4
Step 1: Add 3 to both sides.
−4h−3+3>4+3
−4h>7
Step 2: Divide both sides by -4.
−4h / −4 > 7 / −4
h< −7 /4