Collinear points: Three points A, B and C are said to be collinear if they lie on the same straight line.
There points A, B and C will be collinear if AB + BC = AC as is clear from the adjoining figure.
In general, three points A, B and C are collinear if the sum of the lengths of any two line segments among AB, BC and CA is equal to the length of the remaining line segment, that is, either AB + BC = AC or AC +CB = AB or BA + AC = BC.
In other words,
There points A, B and C are collinear if:
(i) AB + BC = AC i.e.,
Or, (ii) AB + AC = BC i.e. ,
Or, AC + BC = AB i.e.,
How much money would you have after 7 years if you invested$12,000 at 2% in order to have compounded annually?
Answer:
$1,680
Step-by-step explanation:
i think it is right because 12,000 at 2 percent=280 then 280×7= 1,680
Find the common ratio of the geometric sequence -4,12,-36
Answer:
-3
Step-by-step explanation:
a= -4
So the first and second should be multiply together
first=-4
second=12
12/-4=-3
From the observation deck of a skyscraper, Jack measures a 67 angle of depression to a ship in the harbor below. If the observation deck is 903 feet high, what is the horizontal distance from the base of the skyscraper out to the ship? Round your answer to the nearest hundredth of a foot if necessary.
Answer:
Step-by-step explanation:
From the observation deck of a skyscraper; Madison measures a 67 angle of depression to a ship in the harbor below. Ifthe observation deck is 1143 feet high; what is the horizontal distance from the base of the skyscraper out to the ship? Round your answer to the nearest tenth of a foot if necessary
========================================================
Explanation:
The drawing is shown below.
Notice that 23 + 67 = 90, or you could say 90-67 = 23.
Use the tangent ratio to find x.
tan(angle) = opposite/adjacent
tan(23) = x/903
x = 903*tan(23)
x = 383.300759 approximately
x = 383.30
This morning, Megan and her dad had smoothies for breakfast. Megan made her smoothie with 1 cup of mango and 3 cups of strawberries. Her dad made a giant smoothie with 2 cups of mango and 6 cups of strawberries. Did the smoothies have the same ratio of mango to strawberries?
yes or no
Answer: yes its a 3:1 ratio
3 cups of strawberries
per 1 cup of mango
Step-by-step explanation:
so the best way i can try to explain it is this...
1 2 they both need a
_ x _ common denominator so
3 6 you need to multiply the smaller one to equal
the bottom number of the other one
oorr divide the big number on the bottom to equal
the smaller number on the bottom of the left
equation.
soooo 2 times (1:3) equals (2:6)
or divide by 2 to (2:6) to equal the denominator of 3 (same as smaller)
In the circle below, F is the center and lies on line segment AD and BC.
Answer:
I guess option (C)
Step-by-step explanation:
Hope it helps!!!!
pls answer yessirrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr
Answer:
150
Step-by-step explanation:
this first side is 6 by 5, (6 x 5 = 30) and 4 sides have these measurements so (30 x 4 this = 120) to find the surface area of all these sides.
The second type of side is 3 by 5, (3 x 5 = 15) and 2 sides have these measurements so we have to do (15 x 2 = 30) to find the surface area of all these sides.
Now that we have all the surface area of all the sides we have to add them up (30 + 120) the surface area of the rectangular prism is 150.
Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!
8. Charlotte is given the equation 3x - 4y = 12. She needs to create a graph of the equation, but
isn't sure how since she is only familiar with
graphing from slope-intercept form. Devise a plan
to help Charlotte graph the equation in the space
below, and then draw your graphed line.
Answer/Step-by-step explanation:
Note:
Graphing From An Equation:
Equation are frequently written in slope-intercept form { y = mx+b}.
Which "m" represents the slope and "b" represents the y-intercept.
Solutions and Equation:
Solutions to linear equations contain any points located on the graphed line.
Ordered Pair = Solution to an equation if it's values are substituted in the equation which makes it true
Solve:
{x = 0 } 3(0) - 4y = 12
-4y = 12 (0, -3 )
-4y/-4 = 12/-4
y = -3
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
{y = 0} 3x-4(0) =12
3x = 12 (4,0)
3x/3 = 12/3
x = 4
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~Lenvy~
What is the value of t?
t = 180 - 66 - 57 = 57°
simplify the following expression 4√72
Answer:
Hope this helps it is in the file below.
How many fluid ounces are in 12 1/4 cups
Which person is not living within their means?
A. Joyelle set aside money for emergency funds by limiting her thing
entertainment costs for a few months.
B. Bill earns a high salary, so he contributes the maximum allowed to
his IRA each year.
C. Ella maxed out all three of her credit cards but pays the minimum
balance each month.
O D. Dmitri earns $1000 a month and spends $800 on rent, groceries,
and other expenses.
The person that is not living within their means is Ella who has maxed out all three of her credit cards but pays the minimum balance each month.
What does it mean when a person is living above their means?If a person is living above their means, the person is spending more money than they have. A person living above their means would most likely borrow in order to afford their lifestyle. A person living above their means would have no amount of savings.
To learn more about credit cards, please check: https://brainly.com/question/14716152
The rent for an apartment is $800 per month. The landlord charges one month's rent as a deposit plus a nonrefundable damage cost of $250.
The expression 800(n + 1) + 250 represents the cost of the renting the apartment for n months. Write the expression in simplified form.
please help me i have a test tmr
Answer:
800n+1050
Step-by-step explanation:
800(n+1)+250 = 800n+800+250 = 800n+1050.
Hope this helps!
Good luck with your test + I hope you do well on it.
Please mark me as brainliest!
I got this question wrong and I need help.
Answer:
the answer is A. 2
Step-by-step explanation:
4x+2 has to be half of 2x+16
then 4x+2=10 and 2x+16=20 therefore it is correct
rate brainiest
Ashley is riding her bike to train for a triathlon and so far has traveled 96 miles.
She is riding at an average rate of 15 miles per hour.
Calculate the time that she has been riding her bike in hours.
Answer:
hours
Note: Write the answer in decimal form.
Answer:
6.4
Step-by-step explanation:
she has been riding her bike for 6.4 hours.
Which of the following shows the true solution to the logarithmic equation solved below? log Subscript 2 Baseline (x) = log Subscript 2 Baseline (x 7) = 3. Log Subscript 2 Baseline left-bracket x (x 7) right-bracket = 3. X (x 7) = 2 cubed. X squared 7 x minus 8 = 0. (x 8) (x 1) = 0. X = negative 8, 1 x = negative 8 x = 1 x = 1 and x = negative 8 x = 1 and x = 8.
The value which shows the true solution to the given logarithmic equation is 1.
What is the domain and range of the function?The domain of a function is defined as the set of all the possible input values that are valid for the given function.
The range of a function is defined as the set of all the possible output values that are valid for the given function.
The given logarithmic equation is,
[tex]\rm log_{2} (x) + log_{2} (x +7) = 3.[/tex]
Use the addition property of log in the above expression.
[tex]\rm log_{2} (x \times (x +7) )= 3.\\ (x \times (x +7) ) = 2^{3} \\x \times (x +7) = 8\\x^{2} +7x-8=0[/tex]
Solve the quadratic equation we get,
[tex](x+8)(x-1)=0[/tex]
x = -8, 1
Here, the logarithmic function is defined only for positive real numbers as its input.
Thus, the value which shows the true solution to the logarithmic equation solved above is 1.
Learn more about the domain and range of the function:
brainly.com/question/2264373
Answer:X=1
Step-by-step explanation:b on edge
Rewrite the expression as the sum of two numbers. 4(5 + 8) A) 2(13) B) 9 + 32 C) 9 + 12 Eliminate D) 20 + 32
Answer:
D.
Step-by-step explanation:
4(5 + 8)
= 4*5 + 4*8
= 20 + 32
203, 199, 195, ...
Find the 35th term.
Answer:
67
Step-by-step explanation:
203-199=4
199-195=4
☆decreases by 4
there are 34 spaces
1 2 3 4 5 6 7 8 9 10
11 12 13 14 15 16 17 18 19 20
21 22 23 24 25 26 27 28 29 30
31 32 33 34 35
203-4 (34)
203-136
=67
35th term of the arithmetic sequence 203, 199, 195,...... is 67.
What is arithmetic sequence ?An ordered group of numbers with a shared difference between each succeeding word is known as an arithmetic sequence.
The given arithmetic sequence is,
203, 199, 195,......
In the sequence, the first time a = 203,
And common difference of the sequence d = -4
Formula for nth term of the sequence,
aₙ = a + (n-1) . d
To find 35th term of the sequence, substitute n= 35,
a₃₅ = 203 + (35-1).(-4)
= 203 + 34x-4
= 203 - 136
= 67
The 35th term of the given sequence is 67.
To learn more about Arithmetic sequence on :
https://brainly.com/question/1452631
#SPJ2
What is the range of the function y = e superscript 4 x y less-than 0 y greater-than 0 y less-than 4 y greater-than 4
The range of a function [tex]\rm y= e^4^x[/tex] is y>0; option second y > 0 is correct.
It is given that the function [tex]\rm y= e^4^x[/tex]
It is required to find the range of a function [tex]\rm y= e^4^x[/tex]
What is a function?It is defined as a special type of relationship and they have a predefined domain and range according to the function.
We have a function:
[tex]\rm y= e^4^x[/tex]
If we plot a graph of [tex]\rm y= e^4^x[/tex]:
When x = 0 then [tex]\rm y= e^4^\times^0[/tex] ⇒ 1
When x = 1 then [tex]\rm y= e^4^\times^1[/tex] ⇒ 54.598 and so on.
The graph will exponentially go up as shown in the picture because the 'e' is the positive value(e=2.718) and the power of negative or positive values is never be a negative result.
Thus, the range of a function [tex]\rm y= e^4^x[/tex] is y>0; option second y > 0 is correct.
Learn more about the function here:
brainly.com/question/5245372
Answer:
B, all real numbers less than 0
Step-by-step explanation:
edge 2022
1. Sixty-four unit cubes were glued together to make a 4 × 4 × 4 cube. How many 1 × 1 pairs
of faces were glued together to make the larger cube?
2. A cube is painted red and then cut into 64 identical smaller cubes. How many of these cubes
are painted red on at least one face?
3. A cube is painted red and then cut into 1000 identical smaller cubes. How many of these
cubes are painted red on at least two faces?
Answer:
The answer is 56 and that is no guess
A set of stacked plates for serving weighs 12kg . If each plate weighs 1/2 kg how many plates are in the stack?
Answer:
24
Step-by-step explanation:
12 divided by 1/2 = 24
Hope this helped! :)
Solve the System of equations x = -2 ; y= -3 .(show your work step by step).
x+2y = 4
x +y = 1
Answer:
Determine the point of intersection by using substitution and solving for the variables.
Explanation:
Solving a system of equations imply we find the point of interception.
To do this, we must use substitution to find one variable, and use that value to determine the exact value of the other.
Here, we'll isolate
x
.
−
2
x
−
2
y
=
−
4
−
2
x
=
2
y
−
4
x
=
−
y
+
2
Now that we have our variable expression, we can sub this into the other equation and solve for
y
.
2
x
+
3
y
=
9
2
(
−
y
+
2
)
+
3
y
=
9
−
2
y
+
4
+
3
y
=
9
4
+
y
=
9
y
=
5
Now that we know our
y
value, we can sub it into any equation to solve for
x
.
x
=
−
y
+
2
x
=
−
(
5
)
+
2
x
=
−
5
+
2
x
=
~
3
Thus, our point of intersection is
(
~
3
,
5
)
.
If we graph the two equations, we can see the point of intersection is in fact
(
~
3
,
5
)
.
graph{(-2x-2y+4)(2x+3y-9)=0 [-8.875, 11.125, -0.36, 9.64]}
Hope this helps :)
Help please cus I don't know.
Answer:
114
Step-by-step explanation:
just add all sides together.
Answer:
91 cm
Step-by-step explanation:
Perimeter is adding all of the side lengths:
8+32+10+10+4+4+23=91
Don't forget to add the unit:
91 cm
HELPP!! DUE TONIGHT!! I need answers for A, B, C, and D including the domains of each.
Answer:
[tex]\sf x < \dfrac{16}{7} ,x > \dfrac{16}{7}[/tex]
Step-by-step explanation:
Given function:
[tex]\sf f[g(x)]=\dfrac{-6+23}{7x-16}[/tex]
The domain will be values of x that do NOT make the denominator zero:
[tex]\sf \implies 7x-16=0[/tex]
[tex]\sf \implies 7x=16[/tex]
[tex]\sf \implies x=\dfrac{16}{7}[/tex]
Therefore, the domain is [tex]\sf x\neq \dfrac{16}{7}[/tex] so
[tex]\sf x < \dfrac{16}{7} ,x > \dfrac{16}{7}[/tex]
SOMEONE PLEASE HELP I WILL GIVE 5 STARS AND BRAINLIEST! fill in the table using this function rule. y= 4x - 4
x- 1,3,5,10
y- blank
Answer:
(x=1, y=0), (x=3, y=8), (x=5, y=16), (x=10, y=36)
Step-by-step explanation:
You just plug the x into the equation. And then BAM the answer is right.
HELPPP ILL GIVE BRAINLIST ALSO Interpret each plotted point in the graph.
Answer:
(0, 0) : traveling 0 inches in 0 seconds
(1, 1.5) : traveling 1.5 inches in 1 second
(3, 4.5) : traveling 4.5 inches in 3 seconds
The unit rate is
1.5 inches a second
1.5 / 1 i think thats how you write it
if f(1)= 10 and f(n)=f(n-1)+4 then find the value of f(5)
Answer:
f(5)=26
Step-by-step explanation:
hello :
f(n)=f(n-1)+4 means : f(n)-f(n-1)=4 (comon diference for arithm - sequence)
so : f(n) =f(1)+(n-1)×4
f(n) =10+(n-1)×4
f(n) = 4n+6
f(5) = 4(5)+6 =26
solve ps brainliest!
Answer:
W = 17
Step-by-step explanation:
Hi! Ok so the equation is: 24=2w-10
24=2w-10 First add =10 to each side
10+24= 2w +10 -10 the tens on the right cancel.
34=2w then divide each side by negative two
(34/2)=(2/2)w can be simplified to 17=w
will give brainliest!
fill in the table using this function rule. y= 3 + 2x
x- 4, 5, 9, 10
y- blank
Replace x in the equation with the given x values and solve for y:
3 + 2(4) = 11
3 + 2(5) = 13
3 + 2(9) = 21
3 + 2(10) = 23
the y values are: 11, 13, 21, 23
#4
y=3+2(4)=3+8=11#5
y=3+2(5)=3+10=13#9
y=3+2(9)=3+18=21#10
y=3+2(10)=3+20=23please help pleaseeeeeeee
Answer:
9.5
Step-by-step explanation:
First order them:
5, 5, 8, 11, 12, 14
The go to the middle
2, 8, 11, 12
8, 11
8 + 11 = 19
19 / 2 = 9.5
Answer:
9.5 is your answer
Draw the graph of y = 3x - 1 on the grid use the graph to estimate y when x = 2.5
Answer:
6.5
Step-by-step explanation:
all you have to do is substitute x with 2.5 in the equation and you can find y.