Answers
Answer:
y = -2x + 7
Step-by-step explanation:
When 2 lines are perpendicular, the relationship between their slopes m1 and m2 may be stated as
m1m2 = -1
Given the line
y = 1/2 x + 8
Comparing with the general equation of a line y = mx + c where m is the slope and c is the intercept
m = m1 = 1/2
Hence the slope of the perpendicular line m2
= -1/1/2
= -2
Given that the line passes through the points (1,5)
using the equation
y - y1 = m (x - x1)
y - 5 = -2(x - 1)
y = -2x +2 + 5
y = -2x + 7
Related Questions
Point B has coordinates (4,1). The x-coordinate of point A is -4. The distance between point A and point B is 10 units. What are the possible coordinates of point A?
Answers
Given:
Point B has coordinates (4,1).
The x-coordinate of point A is -4.
The distance between point A and point B is 10 units.
To find:
The possible coordinates of point A.
Solution:
Let the y-coordinate of point A be y. Then the two points are A(-4,y) and B(4,1).
Distance formula:
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
The distance between point A and point B is 10 units.
[tex]\sqrt{(4-(-4))^2+(1-y)^2}=10[/tex]
Taking square on both sides, we get
[tex](8)^2+(1-y)^2=100[/tex]
[tex](1-y)^2=100-64[/tex]
[tex](1-y)^2=36[/tex]
Taking square root on both sides, we get
[tex](1-y)=\pm \sqrt{36}[/tex]
[tex]-y=\pm 6-1[/tex]
[tex]y=1\mp 6[/tex]
[tex]y=1-6[/tex] and [tex]y=1+6[/tex]
[tex]y=-5[/tex] and [tex]y=7[/tex]
Therefore, the possible coordinates of point A are either (-4,-5) or (-4,7).
Find the mean of the set of data.
3,2, 9, 3, 8,4,5,8,9, 2
Answers
Answer:
5.3
Step-by-step explanation:
To find the mean you must add up all the numbers in the set then divide them by the number of numbers in said set.
Answer:
Hi! The answer to your question is 5.3
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☆Brainliest is greatly appreciated!☆
Hope this helps!!
- Brooklynn Deka
I don’t know if this is correct !!!!!!!!!! Please answer correctly !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!
Answers
Answer: They are related by the AAS postulate and they can be proven congruent.
Step-by-step explanation: You can see that one of the lines on each of the triangle has that little tick which means those lines are congruent. You can also see that for two of the angles one of them has one arc and the other has two arcs for BOTH triangles which makes those two angles congruent. Two angles and one side congruent makes the triangles congruent by the AAS postulate.
I hope I helped! :)
Find the value of (8^0+7^-1)x3^2
Answers
Answer: look at the picture
Step-by-step explanation: Hope this help :D
72x/7
Hope this Helped :T
A new savings account is opened with $400 and gains 3% every year. What is the value of the account at 32 years?
Answers
Answer:
1072
Step-by-step explanation:
Apply the problem-solving techniques to solve the following
problem.
Population decrease In 1990, a rural area had 1200 bird
species. If species of birds are becoming extinct at the rate of
1.5% per decade (10 years), how many bird species will there be
left in the
year
2020?
Answers
Answer:
By 2020, there will be 1,147 species of birds left
Step-by-step explanation:
The general model for an exponential decrease is;
y = I(1 - r)^t
where in this case;
y is the number of bird species at a particular decade from the initial
I is the number of birds initially at 1990
r is the decrease percentage which is 1.5% per decade ; 1.5% = 1.5/100 = 0.015
t in this case will be the number of decades after the initial
Mathematically, a decade is 10 years
The difference between 2020 and 1990 is 30
The number of decades in 30 years is 30/10 = 3
so t will be 3 here
Substituting these values into the equation, we have
y = 1200(1-0.015)^3
y = 1200(0.985)^3 = 1,146.8
To the nearest whole number, this is 1,147
A line that includes the point (2,7) has a slope of
–
8. What is its equation in point-slope form?
Use the specified point in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions.
Answers
Answer:
y - 7 = -8(x-2)
Step-by-step explanation:
The point slope form is: y-y1=m(x-x1)
From the information that was given, we know our two points: (2,7)
From here, we can fill in some of the missing information: y-y1=m(x-x1) → y - 7 = m(x-2)
Now I can't tell if you wrote down -8 or just 8, but just in case my answer isn't the right number.
The answer would either be: y - 7 = -8(x-2) [if you wrote down -8 as the slope]
OR
The answer would be: y - 7 = 8(x-2) [if you wrote down 8 as the slope]
Hmmmmmskksksksksksjsjsjdj
Answers
Answer:
Hmmm
Step-by-step explanation:
plz help
what is the greatest common factor 9xy-y
then divide it with the number.
Answers
dunno if its right tho
can some 1 answer this pls
Answers
Answer:
you are right
Step-by-step explanation:
x²-2x-8≠0
⇒ (x-4)(x+2)≠0 ⇒ x≠-2 x≠4
The cost of a small salad at the deli was marked up 30% after a recent drought destroyed most of the lettuce crop. Determine the new cost if the price prior to the drought was $1.80. Then find the sales tax of the new price if the tax rate is 6%.
Answers
Answer:
The new cost is $ 2.34 and sales tax is .14. Total cost is $2.48
Step-by-step explanation:
1.80 x 1.3 = 2.34
2.34 x .06 = .14
Add the two together for the total
HELPPPP PLSSSSSSSS(25 points
Answers
A positive number with an absolute value less than 5.
Answers
Answer:
3 I think.
Step-by-step explanation:
it's positive and it's also an absolute
PLEASE HELP. ANYONE.
The amount of fence Farmer Thomas needs around her vegetable garden can be modeled by the formula:
V = 8w + 3l
where V = the perimeter of the vegetable garden; w = the width; l = the length
Which formula best represents l in terms of w and V ?
A- l=v-8w-3
B- l=3v-8w
C- l=v-8w/3
D- l=v-8w+3
Answers
V-8w/3 =l
Ans. C
A polygon has 6 sides. The exterior angles are 80 degrees, 56 degrees, 61 degrees, 43 degrees, 92 degrees, and (2 x) degrees. What is the value of x? x =
Answers
Answer:
14 degrees is right! just wanted to add some credibility(?) idrk. best of luck!
Step-by-step explanation:
The value of x in the polygon that has six sides(hexagon) is 14.
What is a hexagon?An hexagon is a polygon with six sides.
The exterior angles of the hexagon are as follows:
80°, 56°, 61°, 43°, 92°, and (2x)°.
Therefore,
sum of exterior angle = 360°
Hence,
80 + 56 + 61 + 43 + 92 + 2x = 360
332 + 2x = 360
2x = 360 - 332
2x = 28
x = 28 / 2
x = 14
learn more on hexagon here: https://brainly.com/question/15902950
What is the sum of the interior angles of the polygon pictured below?
Answers
Answer:
37
Step-by-step explanation: IM MAKING A GUESS IF ITS WRONG IM SORRY I TIRED
Which of the following numbers are less than -0.60? Select all that apply.
- 4/5
-0.65
- 1/6
-0.99
Answers
Answer:
0..99
Step-by-step explanation:
Help please not sure what it can be!
Answers
Answer:
y=40x-30
Step-by-step explanation:
The Becks buy a plastic tarp to cover their firewood. A rectangle that is eight and one-third yards long and six and three-fourths yards wide. Part A Which equation models the best estimate for the area of the tarp?
Answers
Answer:
56 1/4 yards
Step-by-step explanation:
Area of the tarp = length × width
Length = 8 1/3 yards
Width = 6 3/4 yards
Area of the tarp = length × width
= 8 1/3 yards × 6 3/4 yards
= 25/3 × 27/4
= (25 * 27) / (3 * 4)
= 675 / 12
= 56 1/4 yards
Area of the tarp = 56 1/4 yards
Here is the histogram of a data distribution.
5 4 3 2
1'2'34'5'6'7'8'9 '10
Which best describes the shape of this distribution?
O A. Bimodal symmetric
B. Bimodal skewed
O c. Uniform
O D. Unimodal skewed
O E. Unimodal symmetric
Answers
The given histogram is unimodal skewed.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
This histogram is unimodal skewed.
There are two parts to this answer. The first part has to do with the number of modes.
This would be the item that is occurring the most frequently. In this case the mode is only 4.
It is occurring more than any other.
The second part of this has to do with the distribution of the data as it is displayed on the histogram.
There are 4 pieces of data that are only occurimg one time on the right of the histogram. We call this skewing the data.
When both sides looks almost the same we say it is symmetric.
Hence, the given histogram is unimodal skewed.
To learn more on Graph click:
https://brainly.com/question/17267403
#SPJ7
1. Find the missing side for each triangle. Show all work.
Answers
Answer:
a. x ≈ 3.72b. x ≈ 8.08c. x ≈ 3.94Steps:
a.
x = 7×tan(28)
x = 7×0.531..
x ≈ 3.72
b.
x = 7/cos(30)
x = 7/0.86..
x ≈ 8.08
c.
x = 6×sin(41)
x = 6×0.65..
x ≈ 3.94
If a farmer sells 9.8 KL of apples and pears at the farmers market. 4/5 of this weight is apples,and the rest are pears. How many kl of pears did they sell the farmers market
Answers
Answer:
1.96
Step-by-step explanation:
A farmer sells 9.8 kl of apples and pears
4/5 of this weight is apples, while the rest are pears
Therefore the wight of pears can be calculated as follows
Let x represent the weight of pears
9.8= 4/5×9.8 + x
9.8= 0.8×9.8+x
9.8= 7.84+x
9.8-7.84= x
x= 1.96
When looking for a job micah is told that the monthly salary has a range of 876 he also knows that the starting salary is 1,793 per month what is the maximum amount of money that micah can earn in this position?
Answers
Answer:
2669
Step-by-step explanation:
Given that :
Salary range = 876
Starting salary = 1793 monthly
The starting salary represents the minimum amount Micah can earn monthly
Therefore, the amount of money much can earn can be calculated thus :
Recall :
Range = maximum - minimum
876 = maximum - 1793
876 + 1793 = maximum
Maximum = 2669
Hence, the maximum salary Micha can earn is 2669 monthly
which pair best represents a causation statement?
A. a person's age and his/her height.
B. the length of your hair and reading ability
C. the number f books read and the size of someone's vocabulary
D. the higher number of shark attacks and the increasing number of people going on vacation
Answers
Answer:
C. the number f books read and the size of someone's vocabulary
Step-by-step explanation:
causation is the action of causing something, thats the only one that makes sense lol
Please give me the answer please
Answers
Answer:360
Step-by-step explanation:
Answer:
area =
[tex] \frac{1}{2} \times (10 + 6) \times 6 [/tex]
=
[tex]3 \times 16[/tex]
=
[tex]48 \: ft {}^{2} [/tex]
Which of the a-values satisfy the following inequality? 7 + a < 11 Choose all answers that apply: А a = 3 B a = 4 a = 5
Answers
Answer:
Only A. a=3
Step-by-step explanation:
Because since 7+a<11 then that means a have to be 3 or below... good luck!
Answer:
A) a=3
When a=3 7+3=10 which satisfy that 7+a<11 in which 10<11
which answer choice represents an expression?
Answers
Answer:
The answer is G. The sum of r and 4 minus t
Step-by-step explanation:
It is G because an expression has no equal sign or answer, an equation has an answer.
Ashley deposited $4,000 into a savings account that earns 4% simple interest. How much interest did she earn after three years?
Answers
Answer:
for the 1st year she earned 160 so for 3 years she will earn $480
hello please help thanks
Answers
Answer:
most likely the last choice
Step-by-step explanation:
Answer: during evaporation
Step-by-step explanation: the sun heats up the water which caused it to evaporate
Harry has 25 sweets.
He gives 11 of the sweets to Nadia.
What fraction of the 25 sweets does Harry have now?
Answers
Answer: 14
Step-by-step explanation:
1. Harry has 25/25 sweets
2. Nadia takes 11/25 sweets
3. Your left with 14/25
