Answers
Answer:
a) It is clear that point A is located at x = -2, and y = -1, therefore, the coordinates of point A are: A(-2, -1)
b) We can plot the point B (-2, 4) on the grid at x = -2 and y = 4.
Please check the attached graph.
c) The coordinates of the midpoint of AB: [tex]\left(-2,\:\frac{3}{2}\right)[/tex]
Step-by-step explanation:
Part a)
Important Tip:
The coordinates of point A can be determined by checking the location of point A.It is clear that point A is located at x = -2, and y = -1, therefore, the coordinates of point A are:
A(-2, -1)Part b)
We can plot the point B (-2, 4) on the grid at x = -2 and y = 4.
Please check the attached graph.
Part c)
We can determine the coordinates of the midpoint of AB using the formula
[tex]M.P_{AB}=\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]
In our case, we have:
A(x₁, y₁) = A(-2, -1)
B(x₂, y₂) = B (-2, 4)
so substituting [tex]\left(x_1,\:y_1\right)=\left(-2,\:-1\right),\:\left(x_2,\:y_2\right)=\left(-2,\:4\right)[/tex] in the formula
[tex]M.P_{AB}=\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]
[tex]=\left(\frac{-2-2}{2},\:\frac{4-2}{2}\right)[/tex]
Refine
[tex]=\left(-2,\:\frac{3}{2}\right)[/tex]
Therefore, the coordinates of the midpoint of AB: [tex]\left(-2,\:\frac{3}{2}\right)[/tex]
Related Questions
find the value of y
Answers
Answer:
Step-by-step explanation:
[tex]sin90/10=sin45/y\\ \\ y=10sin45\\ \\ y=5\sqrt{2}[/tex]
Answer:
The answer is
[tex]5 \sqrt{2} [/tex]
Step-by-step explanation:
By using Pythagoras
Then
[tex] {y}^{2} + {y}^{2} = {10}^{2} \\ 2 {y}^{2} = 100 \\ {y}^{2} = 50 \\ y = \sqrt{50} = \sqrt{2 \times 25} = 5 \sqrt{2} [/tex]
The chart shows the low temperature each day in International Falls, Minnesota, during the month of February 2009. What was the median low temperature in International Falls for the first week of the month?
6 -9 -29 -31 -8 4 3
anwsers
a -9
b -9
c -8
d -31
Answers
which relation represents a function
Answers
I BET NO ONE KNOWS THIS Place a checkmark next to each answer choice that describes a situation in which economic indicators might be helpful. ALL THAT APPLY
A. A business is trying to design the packaging for a new product.
B. A company is considering expanding and building more factories.
C. A college student is writing a paper on current economic trends.
D. A contractor is trying to decide which of two designers to hire to decorate his
model homes.
E. A recent college graduate is trying to decide what type of business to start.
F. The U.S. government is trying to determine how involved they should be in the
economy in 2016.
Answers
Answer:
E, F, B, and C
Step-by-step explanation:
Im just learning about these kind of things and this is a challenging question not going to lie.
I chose B because expanding and building more factories is apart of economics. You need more land to expand your business, but this will also affect the economy.
C seems like a good answer also because writing about economic trends is an important thing in economics. This also helps others learn out the economy and what not to do and what to do to help make our environment a better place.
I chose E because starting a business is apart of economics. A lot of business are apart of economic systems and help money come into our economy.
F is a good answer for me because the U.S government has been apart of America's economic system for a long time just like they are involved with everything else. The government is a big help and a big part of our economy, especially for america.
3 pencils cost $0.45. What is the cost per pencil?
Answers
Answer:
0.15
Step-by-step explanation:
Help me plsssss!!!!!!!!
Answers
Answer:
use math -way it helps a lot
Step-by-step explanation:
Tom takes two walks every day, one in the morning and one in the evening, and walks for a total of 5 ¼ hours in a 7-day week If he walks for 15 minutes each morning, how many minutes does he walk for each evening?
Write an equation to represent this problem and then solve it. Show all your steps.
Answers
Answer:
30 minutes each evening
Step-by-step explanation:
5.25 / 7 = 0.75 hours each day = 45 minutes
45 - 15 = 30 minutes
To get into an amusement park, people have to pay an entrance fee. Then they pay additional amount for each ride
(every ride costs same amount of money). John rode 8 rides and spent a total of $32 (including the entrance fee). Michael
rode 11 rides and paid $41. How much was the entrance fee and the cost of each ride?
Answers
Answer:
entrance fee: $8
cost of each ride: $3
An isosceles triangle has a base of 44 inches and an altitude of 58 inches. What is the length of each leg?
Answers
Answer:
hello! although i am not really knowlegeble about this subject, i hope the lengths below can help you solve the problem :)
Step-by-step explanation:
side length: 62.03inches
perimeter: 168.06
area:1276
if this does help you, a brainliest would be appreciated!
الو۔
The diagram shows the position
of three towns represented by
letters A, B and C.
B is 7 km from A on a bearing of 037°
C is 8 km from B on a bearing of 140°
Find the bearing of C from A.
Give your answer correct to 1 decimal place.
Answers
Answer:
56.29
Step-by-step explanation:
56.29^° is the answer
The bearing of town C from town A at the given position of the three towns is determined as 93.3⁰.
Distance of C from A
The distance of town C from town A is calculated by applying Cosine rule. The distance of town C from town A is represented by small letter "b" as shown in the image.
b² = a² + c² - 2ac[cos B]
b² = (8)² + (7)² - 2(8 x 7 x cos77)
b² = 87.81
b = √87.81
b = 9.37 km
Angle AThe value of angle A is determined by applying Sine rule as shown below;
sin A/a = sin B/b
sin A = (a x sin B)/b
sin A = (8 x sin 77)/9.37
sin A = 0.832
A = sin ⁻¹ (0.832)
A = 56.3⁰
Bearing of town C from town AThe bearing of town C from town A is determined from the sum of 37⁰ and angle A.
θ = A + 37⁰
θ = 56.3⁰ + 37⁰
θ = 93.3⁰
Thus, the bearing of town C from town A at the given position of the three towns is determined as 93.3⁰.
Learn more about bearing here: https://brainly.com/question/23427938
A bicycle helmet has a selling price of $50. The helmet is discounted 30% off the selling price. The sales tax rate is 6%. What is the total cost of the helmet?
Answers
Multiply by the cost of the helmet, $50
50 x 0.30 = $15, the amount of the discount.
50-15 = $35, the sale price of the helmet.
For the sales tax, again, convert to a decimal by dividing by 100 = 0.06
35 x 0.06 = 2.10, the amount of sales tax
$35 + $2.10 = $37.10, total cost with tax
express in exponential form 200×75
Answers
Do you mean exponential form as in scientific notation or as in prime factorization.
Now matter I will do both.
As in scientific notation.
200*75
=150*100
=1.5*10000
=1.5*10^4
As in prime factorization.
200*75
=2^3*5^2*3*5^2
=2^3 * 3 * 5^4
Do the one your teacher ask for :) Hope it helps!
PLASSS HELP
a. 9
b. 81
c. 3
d. 24
Answers
Answer:
A.9
Step-by-step explanation:
9 x 3 = 27, 27 divided by 3 is.. 9
One equation in a system of linear equations has a slope of -3. The other equation has a slope of 4. How many solutions does the system have? Explain.
Answers
=============================================================
Explanation:
When two lines have different slopes like this, it means the two lines are not parallel. Recall parallel lines are when the slopes are equal (the rise and run are the same, so you can think of it like the same stair-step pattern).
Non-parallel lines intersect at exactly one location. This point of intersection is the solution to the system of equations.
----------------------------
A more in-depth look (optional section)
Let's consider the system of equations shown below
[tex]\begin{cases}y = mx+b\\y = mx+c\end{cases}[/tex]
For each equation shown here, the m values are the same slope. However, b and c are different values (in other words, [tex]b \ne c[/tex]). This system describes any two parallel lines that aren't vertical.
Since we're dealing with the same y value, we can apply substitution to try to solve for x. But we run into a problem
y = mx+b
mx+c = mx+b ... replace y with mx+c
c = b .... subtract mx from both sides
But we stated that c and b were different, and not equal. This is a contradiction. So if we had a system of this form, then we have 2 parallel lines that lead to no solution. We call this an inconsistent system.
Next, we'll consider this system of equations
[tex]\begin{cases}y = mx+b\\y = nx+c\end{cases}[/tex]
The only thing different here is the second equation has n instead of m as its slope. We'll assume that m and n are not equal to each other. If m = n, then we just end up with the previous scenario. Let's try to solve x now
y = mx+b
nx+c = mx+b
nx-mx = b-c
(n-m)x = b-c
x = (b-c)/(n-m)
Assuming [tex]m \ne n[/tex], we can generate one solution for x as shown above. This single solution for x generates a corresponding single solution for y. So overall, this proves that we have one ordered pair (x,y) solution to this system.
In short, I've shown that if m and n are different slopes, then the system of equations has exactly one solution.
how much higher is -200 than 450m
Answers
Answer:
-200 isn't higher than 450 but 450 is:
450 is 250 higher than -200
Step-by-step explanation:
Plzzzz help ASAP!!!!!!
Answers
Answer:
J+9=S
Step-by-step explanation:
Answer:
j+9=s
Step-by-step explanation:
what is the value of -3(7+5)/ 3^2 + 9(2)
A. -6
B. -2
C. 14
D. 22
Answers
Answer: C.
Step-by-step explanation: 14
Answer:
C. 14
Step-by-step explanation:
Simplify the expression.
-3(7 + 5) ÷ 3² + 9(2)
-3 ⋅ 12 ÷ 3² + 9(2)
-36 ÷ 3² + 9(2)
Simplify each term.
Raise
-36 ÷ 9 + 9(2)
Divide
-4 + 9(2)
Multiply
-4 + 18
Add
14
good luck, i hope this helps :)
Someone please help me!
Answers
Answer:
190 yd^2
Step-by-step explanation:
This is a parallelogram, and you can essentially take the dotted line, cut off the excess and stick it on the back creating a rectangle with length 15.2 yd and height 12.5. To find the area you multiply the 2 together getting 190 yards squared.
Pleaseee answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!
Answers
Solve the equations
3a + b = 10 and 2a + 4b =0.
3a + b = 10
2a + 4b=0
Answers
Answer:
a = 4 , b = -2
Step-by-step explanation:
3a + b = 10
2a + 4b = 0
(By using elimination method, eliminate one variable) - to get only one equation
(3a + b = 10 ) 4
2a + 4b = 0
12a + 4b = 40
(minus)
2a + 4b = 0
10a = 40
a = 40/10
a = 4
(substitute a into an equation to get b)
2a + 4b = 0
2(4) + 4b = 0
4b = 0 - 8
b = -8/4
b = -2
Omar invests £6000 for 4 years in a savings account. He will get 1.5 % per year compound interest. Work out the total amount of that will be in Omar accounts by the end of the 4 years. Round your answer to the nearest pound.
The answer is either
6361
6369
6360
Or 6368
Answers
Answer:
£6368
Step-by-step explanation:
You can start by making a formula, which will be:
100/100=1
1.5/100=0.015
1+0.015=1.015 (your multiplyer)
6000*1.015^n= your money after 4 years
(n represents the number of years)
Now you just put in the number of years:
6000*1.015^4=6368.181304
Now round:
Answed= £6368
plsss help i have a d in this classsssssssssssssssssssssssssssssssssss
Answers
Answer:
73.5
Step-by-step explanation:
Answer:
86.64 uwu
Step-by-step explanation:
a) 25.8
b) 36.8
c) 64.2
d) 42.0
Answers
Answer:
y = 25.8
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos y = adjacent/ hypotenuse
cos y = 18/20
Take the inverse cos of each side
cos ^-1 (cos y) = cos^-1(18/20)
y =25.84193276
Rounding to the nearest tenth
y = 25.8
The students in Mr.Collin's class used a surveyor's measuring device to find the angle from their location to the top of a building. They also measured their distance from the bottom of the building. The diagram shows the angle measure and the distance. To the nearest foot, what is the height of the building?
a. 105 ft
b. 116 ft
c. 32 ft
d. 54 ft
Answers
The height of the building is approximately 105 ft.
According to the question,
We have the following information:
The angle made from their location to the building = 59°
The distance of the building from their location = 63 ft
Now, we can find the height of the building by using trigonometric function of tan.
We know that tan is equal to perpendicular/base.
In this case, perpendicular is the height of the building and base is the distance of the location from the building.
We have:
Tan 59° = Height of the building/distance of the building from the location
We know that the value of tan 59° is 1.6643.
Let's take the height of the building to be H ft.
1.6643 = H/63
H = 1.6643*63 ft
H = 104.85 ft
Now, this number can be rounded off to 105 ft.
Hence, the correct option is a.
To know more about height here
https://brainly.com/question/10726356
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I’m very confused and don’t understand anything that’s going on please help
Answers
Answer: 112, 68, 22, 90
Step-by-step explanation:
This is fairly somewhat easy
since the adjacent side of 1 is 68 degrees
then 1 would be 112 degrees to make it supplementary to 180 degrees
angle 3 is vertical of angle 68
making it 68 degrees
angle 5 is given to be 90 degrees meaning angle 4 is inbetween
angles 3 and 5 so ( 68 and 90 ) that'll add up to 158 meaning angle 4
is 22
angle 1 = 112
angle 3 = 68
angle 4 = 22
angle 5 = 90
A student is building a parallelogram- shaped deck with a base of (4x + 3) feet and a height of (3x - 2) feet. Which polynomial represents the area of her deck in square feet? (A.108)
F (12x2 + x - 6) square feet
G (7x + 1) square feet
H (12x2 + x - 5) square feet
J (7x2 + x - 6) square feet
Answers
Answer:
F
Step-by-step explanation:
see attached image above
Answer:
Step-by-step explanation:
the area will be
A=(4x+3)(3x-2)
A=12x^2-8x+9x-6
A=12x^2+x-6
Determine the x-intercept and y-intercept of the line
2x - 5y = 20.
Express your answer as an ordered pair pleas
x-intercept: ( , )
y-intercept: ( , )
Answers
Step-by-step explanation:
step 1. the x intercept is when y=0.
step 2. 2x -5(0) = 20 or x = 10.
step 3. the x intercept is (10, 0)
step 4. the y intercept is when x=0.
step 5. 2(0) - 5y = 20 or y = -4
step 6. the y intercept is (0, -4).
solve for x please thanks
Answers
Answer:
x=[tex]\frac{10}{14}[/tex]
Step-by-step explanation:
y=7x-2
2(7x-2)-4x=10
14x-4-4x=10
14x-4x=10-4
10x=14
x=[tex]\frac{10}{14}[/tex]
What does the graph of a geometric sequence look like?
Answers
here is one I hope this helps lol I'll follow u if u follow me
What is 12.70 - n + 9 + n/4?
Answers
Answer:
21.70-3/4n
Step-by-step explanation:
