Find the equation of the line that is perpendicular to the line
y = x-9 and passes through the point (7,9).
Answer:
[tex]y=-x+16[/tex]
Step-by-step explanation:
Hi there!
What we need to know:
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x is 0)Perpendicular lines always have slopes that are negative reciprocals (ex. 3 and -1/3, 5/6 and -6/5, etc.)1) Determine the slope (m)
y=x-9
Rewrite the equation
y=1x-9
Now, we can identify clearly that the slope of the line is 1. The negative reciprocal of 1 is -1, so therefore, the slope of a perpendicular line would be -1. Plug this into [tex]y=mx+b[/tex]:
[tex]y=-1x+b\\y=-x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=-x+b[/tex]
Plug in the given point (7,9) and solve for b
[tex]9=-7+b[/tex]
Add 7 to both sides to isolate b
[tex]9+7=-7+b+7\\16=b[/tex]
Therefore, the y-intercept is 16. Plug this back into [tex]y=-x+b[/tex]:
[tex]y=-x+16[/tex]
I hope this helps!
What’s the
mean
Median
Mode
To this question up there
Answer:
mean: 4.5 (1dp)
median: 4
mode: 6
Step-by-step explanation:
mean:
0 + 1 + 1 + 2 + 2 + 2 + 2 + 3 + 3 + 3 + 4 + 4 + 4 + 5 + 5 + 6 + 6 + 6 + 6 + 6 + 7 + 8 + 8 + 9 + 10 = 113
113 divided by 25 = 4.52, or just 4.5 (rounded to one decimal place
median:
(middle) = 4
mode:
(most occurring) = 6
Select ALL the functions whose graphs include the point (16, 4).
Answer:
D
Step-by-step explanation:
x=16
y=4
4=16-12
4=4
Answer:
D
Step-by-step explanation:
If it takes a student 1 month to read 3 books, how many months will it take them to read 24 books?
Answer:
8 Months to read 24 Books
Answer:
240
Step-by-step explanation:
A group of friends wants to go to the amusement park. They have $363 to spend on
parking and admission. Parking is $5.50, and tickets cost $35.75 per person,
including tax. How many people can go to the amusement park?
Answer:
10 people can go to the amusement park
Step-by-step explanation:
363 - 5.50 = 357.5
357.5 / 35.75 = 10
3eeeeeeeeeeeeeeeeeeeeeeeeeeeereeeee
Answer:
>
Step-by-step explanation:
8/3=8.6666666667 which is greater than 2.666
1250 people visit a certain website every day. At this rate, how many visitors will the site receive in a week?
Answer:
8750 people
Step-by-step explanation:
1250 * 7 (7 days in a week)
8750 people
If my answer is incorrect, pls correct me!
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-Chetan K
What is the solution to the linear equation? 2/5 + p = 4/5 + 3/5p
Answer:
p=1
Step-by-step explanation:
2/5 + p = 4/5 + 3/5p
Multiply each side by 5 to clear the fractions
5(2/5 + p) = 5(4/5 + 3/5p)
2 +5p = 4 + 3p
Subtract 3p from each side
2+5p-3p = 4+3p-3p
2+2p = 4
Subtract 2 from each side
2+2p -2 = 4-2
2p =2
Divide by 2
2p/2 = 2/2
p=1
[tex]\huge\mathbb{\fcolorbox{red}{lavenderblush}{✰Answer}}[/tex]
[tex]\sf{\dfrac{2}{5}+p=\dfrac{4}{5}+\dfrac{3p}{5} }[/tex] [tex]\sf{ \dfrac{2}{5}+p=\dfrac{4+3p}{5} }[/tex] [tex]\sf{5(\dfrac{2}{5}+p)=4+3p }[/tex] [tex]\sf{ 2+5p=4+3p }[/tex] [tex]\sf{5p-3p=4-2 }[/tex] [tex]\sf{ 2p=2 }[/tex] [tex]\sf{p=\dfrac{2}{2} }[/tex] [tex]\bold{p=1 }[/tex]8 out of every 14 children in a school are boys. What is the ratio of boys to girls in the school?
Answer:
8:6
Step-by-step explanation:
If 8 out of 14 students are boys then the remaining number of students must be girls
So
14-8= 6
There are 6 girls out of the 14
So as a ratio of boys to girls
8:6
Answer:
8 : 6 <or> 4 : 3
Step-by-step explanation:
8 : 6 <or> 4 : 3
Since there are 8 boys out of 14, if you minus them , the answer will be the number of girls out of 14.
An ABC News Poll in 2004 surveyed 1,501 randomly selected U.S. adults and asked if they believed it is more enjoyable to be married or single. In the survey, 75% of the people responded that they believed it is more enjoyable to be married than single. Choose the correct interpretation for the 98% confidence interval for the population proportion.
a. We are 98% confident that the proportion of adults in the United States who believe it is more enjoyable to be married than single is between 0.7250 and 0.7770.
b. We are 98% confident the proportion of adults polled who believe it is more enjoyable to be married than single is between 0.7250 and 0.7770.
c. In 98% of all samples, the proportion of adults polled who believe it is more enjoyable to be married than single is between 0.7250 and 0.7770.
d. The proportion of adults in the United States who believe it more enjoyable to be married than single is between 0.7250 and 0.7770.
Answer:
(a). We are 98% confident that the proportion of adults in the United States who believe it is more enjoyable to be married than single is between 0.7250 and 0.7770.
Step-by-step explanation:
According To the Question,
Given, An ABC News Poll in 2004 surveyed 1,501 randomly selected U.S. adults and asked if they believed it is more enjoyable to be married or single. In the survey, 75% of the people responded that they believed it is more enjoyable to be married than single. The interpretation for the 98% confidence interval for the population proportion is in Option A.The Taylor family order a 95-inch turkey and cheese sub from the local deli. They also buy 7 gallons of lemonade. About how many feet long is the turkey and the cheese sub?
Given: Here given that the Taylor family order 95 inches of turkey and cheese sub from the local deli.
To find: Here we need to find how many foot long is the turkey and cheese sub.
Solution: We know, 1 inches=0.0833 foot
So, 95 inches=7.9135 foot approximately.
Therefore, 7.9135 foot approximately long is the turkey and cheese sub.
Can anyone help me on this I would appreciate it
Answer:
14
Step-by-step explanation:
Triangle=180
180-90 (RA) = 90
90-41= 39
(2x+11)=39
2x=28
x=14
What is the slope of a line passing through the points (3,9) and (5,10)?
Answer:
1 / 2 or 0.5
Step-by-step explanation:
use the formula ; m = y2 - y1 / x2 - x1
where y2 = 10
y1 = 9
x2 = 5
x1 = 3
The sum of to try no meals is 6X^2- 5X +4. If one of the Try no meals is 6X^2+3X -2, then what is the other trinomial try no meals
Answer:
2x+6
Step-by-step explanation:
answer is in the photo above
What is the weight of a science book if its mass is 250g
2.45 N
weight = mass x 9.8 m/s^2
Answer:
Here,
Mass ( m ) = 250g = (250/1000) kg =0.25 kg
g =9.8 m/s^2
Weight ( W ) = ?
We know that,
Weight ( W ) = m*g [Where g is acceleration due to gravity]
= (0.25*9.8) N
= 2.45 N
Hope it helps!
Acircle with radius of 2 cm sits inside a llcm x 12 cm
rectangle.
What is the area of the shaded region?
Round your final answer to the nearest hundredth.
Answer:
119.4
Step-by-step explanation:
The Area of the Rectangle : 132 cm
Area of the Circle : 12.6 cm
Shade= MINUS - 132 cm - 12.5 cm = 119.4!
Happy To Help! :)
HELP PLEASE, AND FAST THANKS
Answer: U'(1,7) G'(7,1)
SOMEONE PLEASE HELP MEEEE
Answer:
[tex]-180^{\circ}[/tex]
Step-by-step explanation:
Lines form 180 degrees on either side. The negative sign simply implies direction (clockwise instead of counter-clockwise), which is negligible as 180 is exactly half of 360 so you'd form the same line.
Answer:
-180 because its through 0
hope this helps!
5. A gallon of paint covers 300 square feet.
How many gallons must be bought to cover a room with two 25' by 12' walls and
two 20' by 12' walls?
Step-by-step explanation:
wall 25×12=300
2 walls = 600
wall2 20×12=240
2 wall2= 480
600+480= 1080 sq ft
The number of gallons that must be bought to cover a room with two 25' by 12' walls and two 20' by 12' walls is 3.6 gallon
What is area of rectangle ?"Area of rectangle is the region occupied by a rectangle within its four sides or boundaries. The area of a rectangle depends on its sides."
Given,
A gallon of paints covers 300 square feet.
Area of the first two walls is [tex]2*25*12[/tex] = 600 square feet
Area of the second two walls is [tex]2*20*12[/tex] = 480 square feet
Total area of the room is = 480+600 = 1080 square feet
The paint required for 1 feet is = 1/300
So, the paint required for 1080 feet is = 1080/300 =3.6
Hence, the paint required to cover the entire room is = 3.6 gallon
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PLEASE HELP!! This is timed, but I don't recall ever learning this info T-T
I'll mark brainliest!!
Answer:
c
Step-by-step explanation:
i hope it helped ᘳ◕ᴥ◕ᘰ
what is the solution to x^2 + 6x + 7
Answer:
x2+6x+7
Step-by-step explanation:
there are no like terms
i think you are missing something in your question (like the equal sign?)
reply in comment so i can help:)
A bag contains 5 red marbles, 4 blue marbles and 7 green marbles. If three marbles are drawn out of the bag, what is the exact probability that all three marbles drawn will be green?
Answer:
.094
Step-by-step explanation:
5/11 is .455
11 total marbles 5 are green
but thats the probability of just one draw
so .455 x .455 x .455 is .094 for three separate draws
write the expression in expanded form
3h^3(k+3)^2
Answer:
3h³k² + 18h³k + 27h³
Step-by-step explanation:
Given
3h³(k + 3)² ← expand factor using FOIL
= 3h³(k² + 6k + 9) ← distribute parenthesis
= 3h³k² + 18h³k + 27h³
PLS ANSWER ASAP DUE 9:35
Answer:
c) 72
hope this helps!
please give brainiest<3
Answer:
72
Step-by-step explanation:
Substitution:
4^3 + 4 x 6 - 16
64+24-16=72
if a dice is rolled 240 times how many times do you think it will land on each number?
Answer:
being they all have the same amount of chances to be rolled on the same amount i would say 40
Step-by-step explanation:
a right triangle has legs of lengths 7 and 2, what is the length of the hypotenuse to the nearest tenth
Answer:
hypotenuse = 7.3
Step-by-step explanation:
here 7 and 2 are the legs og the right triangle .we should find hypotenuse.
let the legs of the right triangle be a nd b respectively . And c be hypotenuse
using pythagoras theorem to find hypotenuse
a^2 + b^2 = c^2
7^2 + 2^2 = c^2
49 + 4 = c^2
53 = c^2
[tex]\sqrt{53}[/tex] = c
7.28 = c
7.3 =c
Answer:
7.3
Step-by-step explanation:
[tex]7^{2} + 2^{2} = x^{2} \\ 53 = x^{2}\\\sqrt{53} = \sqrt{x^{2}} \\x = 7.3[/tex]
Someone please help me with this question
Step-by-step explanation:
f(x) =x²+2
f(5)=5²+2
f(5)= 25+2
f(5)= 27
Joseph has 22 gallons of fertilizer. He uses 7 quarts to fertilize his plants.
How many quarts of fertilizer are left?
The solution is:
48.6 quart of fertilizer is the total fertilizer will Alan need for his two fields.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
The directions say to use 4/5 of a quart of fertilizer for each acre of land.
Alan has two fields,
Field 1
22 1/2 acre of land
1 acre of land = 4/5 quart
22 1/2 acre of land = x
Cross Multiply
x = 22 1/2 × 4/5
x = 45/2 × 4/5
x = 18 quart of fertilizer
Field 2
38 1/4 acres of land
1 acre of land = 4/5 quart
38 1/4 acre of land = x
Cross Multiply
x = 38 1/4 × 4/5
x = 153/4 × 4/5
x = 30.6 quart of fertilizer
The total fertilizer that Alan will need for his two fields is calculated as:
18 quart of fertilizer + 30.6 quart of fertilizer
= 48.6 quart of fertilizer
Hence, 48.6 quart of fertilizer is the total fertilizer will Alan need for his two fields.
To learn more on multiplication click:
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complete question :
alan is spreading fertilizer on a field to get it ready for planting. The directions say to use 4/5 of a quart of fertilizer for each acre of land. Alan has two fields, one that is 22 1/2 and one that is 38 1/4. How much total fertilizer will Alan need for his two fields?
Hola necesito la respuesta a esta pregunta: 1) En la definición de potencia, la base: * a) corresponde al número de veces que se repite la base como factor b) corresponde al número que se multiplica por si mismo c) Corresponde a un número que se multiplica por otro d) Corresponde a un número que se suma varias veces
Answer:
B. Corresponde al número que se multiplica por sí mismo.
Step-by-step explanation:
Matemáticamente hablando, la base de una potencia se refiere a un número que se multiplica por si mismo por el número de veces definido por el exponente. En consecuencia, la respuesta es B.
4
7
of students at a school are boys. If there are 2184 students at the school, how many are girls?
Answer:
936 girls at the school
Step-by-step explanation:
4/7 of 2184 = 1248
2184-1248 = 936
Happy learning! Please mark brainliest!
--Applepi101
