Answer:
[tex]y = \frac{1}{4} x[/tex]
Step-by-step explanation:
1) First, find the slope of the equation. Use the slope formula [tex]m= \frac{y_2-y_1}{x_2-x_1}[/tex]. Substitute the x and y values of the given points into the formula and solve:
[tex]m = \frac{(2)-(1)}{(8)-(4)} \\m = \frac{2-1}{8-4}\\m = \frac{1}{4}[/tex]
Thus, the slope is [tex]\frac{1}{4}[/tex].
2) Now, use the point-slope formula [tex]y-y_1 = m (x-x_1)[/tex] to write the equation in point-slope form (from there we can convert it to slope-intercept). Substitute values for [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex].
Since [tex]m[/tex] represents the slope, substitute [tex]\frac{1}{4}[/tex] for it. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point the line intersects, choose any of the given points (it doesn't matter which one, the end result will be the same) and substitute its x and y values into the formula as well. (I chose (4,1), as seen below.) Then, isolate y to put the equation in slope-intercept form and find the answer.
[tex]y-(1) = \frac{1}{4} (x-4)\\y-1 = \frac{1}{4} x-1\\y = \frac{1}{4} x+0\\y=\frac{1}{4}x[/tex]
Find the area of the trapezoid.
40 mm
24 mm
19 mm
A=
mm2
Answer:
A = 708 mm^2
Step-by-step explanation:
[tex]A=\frac{a+b}{2} h\\\\A=\frac{19+40}{2} *24\\\\A=\frac{59}{2} *24\\\\A= 708[/tex]
Mhanifa please help on mine
Answer:
Q1The opposite sides are two pairs of parallel lines.WY is transversalAngles 1 and 3 are congruent as alternate interior angles, same applies to angles 2 and 4.WY is the shared side and congruent to itself.So we have two angles and the included side congruent to corresponding parts of the other triangle.
1≅3, 2≅4, WY≅WYΔWXY ≅ ΔYZWThis is called angle-side-angle or ASA
Correct choice is
C. Yes, ASA theoremQ2Preimage is CP = 12, image is CP' = 3
Scale factor is:
k = 3/12 = 1/4This is a 4 times reduction
Correct option is D:
k = 1/4, reductionPlease quick! I need it by now.
Answer:
Yes
Step-by-step explanation:
What we know:
The watch has a 90-day warranty.
A week has 7 days.
6 weeks have 42 days.
To solve:
90 day warranty - 42 days of the 6 weeks = 48 days of warranty still left.
Note:
Hope it helps!
Adam has 1/2 quart of milk. If he pours the same amount if milk into 3 glasses. How many quarts of milk will each glass have?
Adam tiene 1/2 cuarto de litro de leche. Si vierte la misma cantidad si la leche en 3 vasos. ¿Cuántos cuartos de leche tendrá cada vaso
Answer:
3/2 or 1 1/2
Step-by-step explanation:
So 1/2 * 3 = 3/2 or 1.5 which as a fraction simplified is 1 1/2. Hope that helps!
The temperature in Mansfield, Ohio was -3 degrees in the afternoon. After the sun went down, the temperature dropped 6 degrees. What was the temperature after the sun went down? *
GET right i give brainly
Is expression K+W show the sum of K and W ?
Answer:
yes
Step-by-step explanation:
Find the slope of the line that passes through the two points. (0, 0), (3, 2)
Answer:
the slope is 2/3 bcoz u do 2-0/3-0
a rectangular water tank carries 40000 litres of water what is the best area if its height is 2 m
Answer:
the base area is 20,000
2 x 20,000 = 40,000
Write the slope-intercept form of the equation of each line 4x-3y=6'
Answer:
Step-by-step explanation:
-3y=-4x+6
divide by -3
y=4/3x-2
The dj charges $35 for 1/2 hour. If the school hires him for a dance that lasts 3 1/2 hours, how much will the dj earn
Answer:
$245
Step-by-step explanation:
Step-by-step explanation:
$35 / 1/2=x / 3 1/2Divide 35 by 1/2 by multiplying 35 by the reciprocal of 1/2.
35*2=x / 3*2+1/2
Multiply 35 and 2 to get 70.
70=x / 3*2+1/2
Divide x by 3*2+1/2 by multiplying x by the reciprocal of 3*2+1/2.
70=x*2/3*2+1
Multiply 3 and 2 to get 6.
70=x*2/6+1
Add 6 and 1 to get 7.
70=x*2/7
Swap sides so that all variable terms are on the left-hand side.
x*2/7=70
Multiply both sides by 7.
x*2=70*7
Multiply 70 and 7 to get 490.
x*2=490
Divide both sides by 2.
x=490/2
Divide 490 by 2 to get 245.
x=245
You want to buy a shirt that is originally $32.95. It is on sale for 20% off! What is the shirt's SALE price?
Use the net to determine the total surface area. 10 cm 8 cm 8 cm 10 cm 8 cm 20 cm
440 cm2
880 cm2
144 cm2
72 cm2
Section B
Solve the problems. Show your workings clearly in the spaces provided.
(10)
Paul was given $2760 to buy toys for a group of children.
(a) What would be the greatest number of toys Paul could buy if each toy
cost $9?
(b) How much money would be left after buying the toys?
Question 1
If a coin is flipped 3 times, what is the probability that it will show all heads?
Create a tree diagram to help you answer this question.
O 1/8
O 3/8
O 1/2
1/4
Let t rep tail and h rep head
First tose= h or t
Second tose= h or t
Third tose= h or t
Counting the head and tail together
Then t= 3 and h=3
According to The formulae
3/6= 1/2
GIVeawAy
if u answer my last question ill do more giveaways
Answer:
Okay. I'll check it out. Can you help me with my last question
too?
Answer:
TY
Step-by-step explanation:
what is the area of the area of circle with a circumference of 12.56 feet?
Answer:12.56 square units
Step-by-step explanation:
C=2ttr
The sixth grade went to the museum for a field trip. There
are 75 students in the sixth grade, and 21 students did not
go. What percentage of students did not go on the field trip?
o 12%
o 28%
o 50%
O 65%
A swimming pool is 25 feet across. The angle of depression is 20. How deep is the pool?
Simplify the following:
2x^3-3x^2+4x+5 / x+2
Show steps! Please help for college prep math
answer:
2x^3-3x^2+9x+2
step-by-step explanation:
i added 4x and 5x to get 9x
good luck :)
hopefully, this helps
have a great day !!
Which statement correctly classifies this group of animals?
Answer:
The answer is A, All of the animals are vertebrates, and all are adapted to hot climate.
Step-by-step explanation:
Because i know for sure the owl has a backbone, and so does a puma and all live in hope weather so it has to be a
Solve for x y-b=m(x-a)
the value of the expression x² - 2 ( x + 5 ) when x = 10.
Answer:
70
Step-by-step explanation:
10 2 - 2(10+5) = 100 - 2(10+5)=15
100 - 2 x 15 = 100 - 30
=70
a) Expand and simplify.
3(x - 2) - 4(x - 5)
7
Answer:
x=7
Step-by-step explanation:
3(x - 2) - 4(x - 5)=7
3x+−6+−4x+20=7
(3x+−4x)+(−6+20)=7(Combine Like Terms)
−x+14=7
−x+14=7
Step 2: Subtract 14 from both sides.
−x+14−14=7−14
−x=−7
Step 3: Divide both sides by -1.
−x
−1
=
−7
−1
A square has vertices at the points A(-4,-4), B(-5,-4), C(-5,-3), and D(-4,-3). What is the area of this square? A. 1 square unit B. 4 square units C. 9 square units D. 2 square units
Answer:
Step-by-step explanation:
The length of AB = 1 unit.
area of square = 1² unit² = 1 square unit.
Answer:it is 1
Step-by-step explanation:
Jayden and Carson are selling T-shirts and sweatshirts with the school logo. Jayden sells 9
T-shirts and 3 sweatshirts for $288. Carson sells 1 T-shirt and
6 sweatshirts for $270. Find the selling prices of each item,
1. Write a system of equations to represent the situation.
2. Solve the system of equations.
Part A
Use elimination or substitution to solve. Show your work.
Part B
Which method of solving did you choose? Explain your reasoning,
Answer:
They are ripping off their customers, $270 for 6 tops?
Step-by-step explanation:
I'm sorry, I just had to say that. these qhestions were in SATs tests and not I've forgotten how to do them, I'm sorry for bringing your hopes up
Wil following three angles for a triangle? 30 degrees 60 degrees 90 degrees
The purpose of statistical inference is to provide information about the
Answer:
Statistical inference consists in the use of statistics to draw conclusions about some unknown aspect of a population based on a random sample from that population. ... The goal of hypothesis testing is to decide which of two complementary statements about a population is true.
hope it's help
#carryONlearningJonas wants to paint the walls of his bedroom and the
ceiling. The dimensions of his room are 7 feet by 12 feet
by 8 feet.
What statements about calculating the surface area of
the walls to be painted are correct? Select all that
apply.
O Include the areas of all six faces.
Include the areas of five faces.
Include the areas of four faces.
7 ft
The surface area that will be painted is 376 ft?.
O The surface area that will be painted is 472 ft?
8 ft
12 ft
Answer:
B, and D or 2, and 4
Step-by-step explanation:
b=2 d=4
The surface area to be painted for a bedroom of 12 feet by 8 feet and 7 feet high is equal to the areas of five faces which is 376 ft²
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The dimensions of his room are 7 feet by 12 feet by 8 feet. Hence:
The surface area of the wall = area of the four walls and ceiling = (7 * 8) + (12 * 7) + (7 * 8) + (12 * 7) + (8 * 12) = 376 ft²
The surface area to be painted for a bedroom of 12 feet by 8 feet and 7 feet high is equal to the areas of five faces which is 376 ft²
Find out more on equation at: https://brainly.com/question/2972832
#SPJ2
What is the area of the trapezoid?
5 cm
14 cm
5 cm
10 cm
Answer:
A = 28 cm
Step-by-step explanation:
equation:
A = [tex]\frac{a + b}{2} h[/tex]
A = [tex]\frac{4 + 10}{2} 4[/tex]
solve:
A = [tex]\frac{14}{2}4[/tex]
A = 7 x 4
A = 28 cm
A local anime fan club surveyed its members regarding their viewing habits last weekend, and the following information was obtained: 35 members had watched an episode of Naruto, 48 had watched an episode of Death Note, 24 had watched both an episode of Naruto and an episode of Death Note, and 12 had watched neither Naruto nor Death Note. (Round your answers to three decimal places.)
(a) What percent of the club members had watched Naruto or Death Note?
(b) What percent of the club members had watched only Naruto?
(c) What percent of the club members had watched only Death Note?
Answer:
a) 83.099% of the club members had watched Naruto or Death Note.
b) 15.493% of the club members had watched only Naruto
c) 33.803% of the club members had watched only Death Note.
Step-by-step explanation:
First we find the number of students which each habit, treating the habits as Venn sets.
I am going to say that:
Set A: Watched an episode of Naruto.
Set B: Watched an episode of Death Note.
24 had watched both an episode of Naruto and an episode of Death Note:
This means that [tex](A \cap B) = 24[/tex]
48 had watched an episode of Death Note
This means that [tex]B = 48[/tex].
We have that:
[tex]B = (B-A) + (A \cap B)[/tex]
In which B - A are those who watched only Death Note. So
[tex]48 = (B-A) + 24[/tex]
[tex](B-A) = 24[/tex]
35 members had watched an episode of Naruto
This means that [tex]A = 35[/tex].
[tex]A = (A-B) + (A \cap B)[/tex]
[tex]35 = (A-B) + 24[/tex]
[tex](A-B) = 11[/tex]
At least one:
This is
[tex](A \cup B) = A + B - (A \cap B)[/tex]
So
[tex](A \cup B) = 35 + 48 - 24[/tex]
[tex](A \cup B) = 59[/tex]
Total number of students:
59 at least one, 12 none, so 71 total.
(a) What percent of the club members had watched Naruto or Death Note?
At least one, so 59 out of 71
59*100/71 = 83.099
83.099% of the club members had watched Naruto or Death Note.
(b) What percent of the club members had watched only Naruto?
11 out of 71. So
11*100/71 = 15.493
15.493% of the club members had watched only Naruto.
(c) What percent of the club members had watched only Death Note?
24 out of 71. So
24*100/71 = 33.803
33.803% of the club members had watched only Death Note.
Answer:
i think it is (b) What percent of the club members had watched only Naruto?
Step-by-step explanation: