To the nearest hundreth, what is the length of line segment AB?
1.) 2.45
2.) 2.16
3.) 7.75
4.) 8.25
Answers
Answer:
option (4)
Step-by-step explanation:
Calculate the length using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = A(2, 2) and (x₂, y₂ ) = B(- 6, 4)
AB = [tex]\sqrt{(-6-2)^2+(4-2)^2}[/tex]
= [tex]\sqrt{(-8)^2+2^2}[/tex]
= [tex]\sqrt{64+4}[/tex]
= [tex]\sqrt{68}[/tex]
≈ 8.25 ( to 2 dec. places )
Related Questions
what is the perimeter of the triangle. i do not know how to start this problem. any help will be greatly appreciated :))
Answers
Given:
Point F,G,H are midpoints of the sides of the triangle CDE.
[tex]FG=9,GH=7,CD=24[/tex]
To find:
The perimeter of the triangle CDE.
Solution:
According to the triangle mid-segment theorem, the length of the mid-segment of a triangle is always half of the base of the triangle.
FG is mid-segment and DE is base. So, by using triangle mid-segment theorem, we get
[tex]\dfrac{1}{2}DE=FG[/tex]
[tex]DE=2(FG)[/tex]
[tex]DE=2(9)[/tex]
[tex]DE=18[/tex]
GH is mid-segment and CE is base. So, by using triangle mid-segment theorem, we get
[tex]\dfrac{1}{2}CE=GH[/tex]
[tex]CE=2(GH)[/tex]
[tex]CE=2(7)[/tex]
[tex]CE=14[/tex]
Now, the perimeter of the triangle CDE is:
[tex]Perimeter=CD+DE+CE[/tex]
[tex]Perimeter=24+18+14[/tex]
[tex]Perimeter=56[/tex]
Therefore, the perimeter of the triangle CDE is 56 units.
Brainly Reward (mathematics)
Answers
Answer:
1: 45
2: 32
3: 35
4: 32
Step-by-step explanation:
when finding the area of a trapezium you can also just split the rectangle and triangle to have 2 different areas then combine to have the same area. but also this would be more difficult if you needed to separate the trapezium into more than 3 shapes.
so if there is like a trapezoid that you split and there is a rectangle and 2 triangles it is harder than doing the formula.
so use the formula sometimes too if it is easier.
Answer:
1 would be 45, 2 would be 32, 3 would be 35, 4 would be 32
Step-by-step explanation:
I need so much help with these could you help me?
Answers
Answer:
Step-by-step explanation:
In ΔBCA and ΔDCA,
BC ≅ CD Given
∠BCA ≅∠DCA Given
AC ≅ AC Reflexive property
ΔBCA ≅ ΔDCA S A S congruent
∵ BA ≅ AD CPCT {Corresponding part of congruent triangle}
A dresser has a width of 6 feet, a height of 3 feet, and a depth of 2 feet. If the dresser has 6 drawers of the same size, what is the volume of the space for each drawer?
Answers
Answer:
The volume of the space for each drawer is 6 feet^3.
Step-by-step explanation:
Solve for the volume of the entire dresser.
Formula for volume of a rectangle:
Volume (v) = Length (l) × width (w) × height (h)
v = 2 × 6 × 3
v = 12 × 3
v = 36
Now divide the volume by the number of drawers.
36 ÷ 6 = 6
A- {(-4, -3), (2, 2), (2, 1), (0, 3), (-2, 4}
B- {(-3, -4), (2, -2), (2, 1), (3, 0), (4, -2)}
C- {(-3, -4), (-2, 2), (2, 1), (3, 0), (4, -2)}
D- {(-3, 4), (-2, -2), (1, 2), (3, 0), (4, 2)}
Answers
Answer:
C
Step-by-step explanation:
The first point would be (-3,-4) which means A and D are eliminated.
The second point is (-2,2) which means you are left with C which is the correct answer
The graph of function f is shown. Function g is represented by the table. x -2 -1 0 1 2 g(x) -32 -16 -8 -4 -2 Which statement correctly compares the two functions on the interval [0, 2]? A. Function f is increasing, and function g is decreasing. B. Both functions are increasing, but function f is increasing faster. C. Both functions are increasing, but function g is increasing faster. D. Both functions are increasing at the same rate.
Answers
Answer:
Both functions are increasing, but function g is increasing faster
Step-by-step explanation:
Correct on a plato test. Have a great day!
Answer:
B. fashoooooooo
Step-by-step explanation:
Both functions are increasing, but function f is increasing faster.
An altitude is also called the __ of the triangle. One endpoint must be a _____ of the triangle. The altitude creates a ______ ______ with the opposite side of the triangle. FILL IN THE BLANKS
Answers
Answer:
do you have answer choices or is this just fill in the blanks ?
Felipe is a software salesman. His base salary is $2200, and he makes an additional $70 for every copy of English is Fun he sells. Let P represent his total pay in dollars), and let N represent the number of copies of English is Fun he sells. Write an equation relating P to N. Then use this equation to find his total pay if he sells 26 copies of English is Fun.
Answers
Multiplying N by what he makes for each one and add to his salary:
P = 70N + 2200
Replace n with 26 and solve:
P = 70(26) + 2200
P = 1820 + 2200
P = 4020
He earns $4,020
Answer:
Multiplying N by what he makes for each one and add to his salary:
P = 70N + 2200
Replace n with 26 and solve:
P = 70(26) + 2200
P = 1820 + 2200
P = 4020
He earns $4,020
Step-by-step explanation:
A multiple-choice test has five questions, each with five choices for the answer. Only one of the choices is correct. You randomly guess the answer to each question. What is the probability that you do not answer any of the questions correctly?
Answers
Answer:
Ans: (1/5)^2 *(4/5)^3 = 0.0205
Step-by-step explanation:
i need help i literally don't understand this at all and the teacher doesn't explain the assignment at all.
Answers
Answer:
2) 67.8°
3) 46.8°
4) 56.0°
Step-by-step explanation:
Use the right triangle trig functions
sine, cosine, or tangent and take the inverses to find the angle
SOMEONE PLEASE HELP ME WILL GIVE BRAINLY
Answers
Answer:
Let me get my homie on here to help you.
Step-by-step explanation:
Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
with what??!!
Step-by-step explanation:
Answer:
This is essay thank you
Step-by-step explanation:
Consider the equation of parabola y = 5x - 30x + 45.
Its vertex is located at
( , )
Answers
Answer:
(3, 0 )
Step-by-step explanation:
Given a parabola in standard form
y = ax² + bx + c (a ≠ 0 )
Then the x- coordinate of the vertex is
[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]
y = 5x² - 30x + 45 ← is in standard form
with a = 5, b = - 30 , then
[tex]x_{vertex}[/tex] = - [tex]\frac{-30}{10}[/tex] = 3
Substitute x = 3 into the function for corresponding value of y
y = 5(3)² - 30(3) + 45 = 45 - 90 + 45 = 0
vertex = (3, 0 )
Answer:
Vertex is (3,0)
Step-by-step explanation:
Given y= 5x^2 - 30x + 45
y = 5 ( x^2 - 6x + 9)
= 5 ( x -3 )^ 2 + 0
Standard formula of parabola is y = a(x - k)^2 + k where vertex is (h,k)
Here, h = 3 and k = 0
So, Vertex is ( 3, 0)
how to graph y=2x-4
Answers
(This is for my Algebra ll project all you need to do is answer this question) How many siblings do you have?
Answers
Answer:
I have two Sisters
Step-by-step explanation:
Can i get help please and thanks
Answers
Answer: 9.21954
it’s pythagorean theorem btw :)
the circumference of a circle is about 48.042 yards. the circle's diameter is ___ yards.
use 3.14 for pi.
Answers
Step-by-step explanation:
Given
Circumference of circle = 48.042 yards
diameter (d) = ?
we know
Circumference = πd
or, 48.042 = 3.14 * d
or, d = 48.042 / 3.14
Therefore d = 15.3 yards
The circle's diameter is 15.3 yards.
Hope it will help :)❤
diameter is 15.3 yards.
Patrick deposits $500 in a savings account, and he makes no deposits. How much money does Patrick have the savings account after 5 years?
Answers
A scatter plot with a line is shown below. (Attachment)
Which statement is most likely correct about the line?
It can be the line of best fit because it is closest to most data points.
It can be the line of best fit because it passes through all the scatter points.
It cannot be the line of best fit because it does not pass through all the points.
It cannot be the line of best fit because it does not pass through the first and last points.
Please help! Other brainy answers DO NOT help. Will mark brainliest!
Answers
Answer:
It can be the line of best fit because it is closest to most of the data points.
which of these numbers are the largest 4.12 or 4.21
Answers
Answer: largest is 4.21.
5k + 7 + 3k help me
Fast
Answers
Answer:
8k+7
Step-by-step explanation:
Like terms!
5k+3k=8k
Some to do. So do it.
Answers
Answer:
1. A=42
L=14
42=W(14)
divide both sides by 14
3=W
2. A=96
L=12
96=W(12)
divide both sides by 12
8=W
3. A=90
L=18
90=W(18)
divide both sides by 18
5=W
4. A=1.50
L=15
1.50=W(15)
divide both sides by 15
0.1=W
Step-by-step explanation:
Parallelogram Properties - Angles
Answers
Answer: x=30°
Step-by-step explanation:
A parallelogram always add up to 360°.
Opposite angles like F and H are always the same, so H=150°.
150+150=300 (what angles F and H add up to)
So we can do:
360-300=60
Now we know that the angle x and E have to add up to 60 but still be the same, so x will equal 30°.
We can check this by adding up all of the sides:
150+150+30+30=360°
Hope this helped :)
Please help
Find the distance between (−9, −3) and (−6, −8). Round your answer to the nearest tenth. The distance is about ____ units.
Answers
what is the vertex of f(x)=x^2-9x+14
Answers
Its going to be a lot of steps
Step one
To complete the square, the same value needs to be added to both sides
f(x)+?=x^2 -9x+?+14
Step two
To complete the square add to the expression
x^2 -9 + 81/4= ( x- 9/2 ) ^2 add 81/4
To the expression
f(x)+?=x^2 -9+ 81/4 + 14
Step three
Since 81/4 was added to the right-hand side, also add 81/4 to the left-hand side
f(x)+81/4=x^2 -9x+81/4+14
Step four
Use a^2-2ab +b^2 = ( a-b)^2 to factor the expression
f(x)+81/4=(x-9/2)^2+14
Step five
Move the constant to the right-hand side and change its sign
f(x)=(x-9/2)^2 + 14- 81/4
Last step
Calculate the difference
F(x)=(x-9/2)^2 -25/4
That was to long
Karl:D
Please answer this for 15 points!!! Stuck on this forever
The model shows a rectangular prism made up of cubes with an edge length of 1/2meter.
Part A
Kate finds the volume of the prism by counting the unit cubes. She counts the number of cubes in the bottom layer. She says since there are 3 layers, there are 144 unit cubes, and the volume of the prism is 144 cubic meters. Is Kate correct?
Fill in the blanks to explain your answer.
The bottom layer has _______ unit cubes. The prism is made up of a total of _______unit cubes. The volume of a single unit cube is________cubic meter, so the volume of the prism is_______cubic meters. Kate________correct.
Answers
Answer:
no
Step-by-step explanation:
no
Find the product of these complex numbers.
(3-4i)(1 - i) =
Answers
Answer:
Step-by-step explanation:
-1-7i
i need help on a equation −4a5⋅6a5
Answers
jamal is 8 miles away from his house.he rides his bike home toward home at a speed of 12mph how far away from home is he after a half hour
Answers
Answer:
2 miles
Step-by-step explanation:
12 mph would be 6 miles in a half hour
8 - 6 = 2 miles
95 out of 1200 randomly selected people surveyed in the u.s said they would rather watch baseball on television than go to a game According to this survey most people in the u.s would rather ______. A- watch baseball on television than go to a game B- play baseball than watch a game C- go to a baseball game than I watch it on television
Answers
Answer:
C.) go to a baseball game than watch it on television
Step-by-step explanation:
Only 7.9% of the 1200 people would rather watch a game on television than go to a game.
That means 92% of the group would rather go to a game, instead of watching it on television.Your answer should be letter C, most people would rather go to a baseball game than watch it on television
