A = ( 4 , 3 ) ..**&**.. B = ( - 1 , 1 )
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Slope = [ y(B) - y(A) ] ÷ [ x(B) - x(A) ]
Slope = [ 1 - 3 ] ÷ [ - 1 - 4 ]
Slope = [ - 2 ] ÷ [ - 5 ]
Slope = 2/5
______________________________
y - y(0) = Slope × ( x - x(0) )
y - y(A) = Slope × ( x - x(A) )
y - 3 = 2/5 × ( x - 4 )
y - 3 = 2/5 x - 8/5
y = 2/5 x - 8/5 + 3
y = 2/5 x - 8/5 + 15/5
y = 2/5 x + 7/5
3(3a + 4b) + 4(2a - 5b) please answer quick
Step-by-step explanation:
3(3a+4b)+4(2a-5b)
=9a+12b+8a-20b
=17a-8b
How can the manager use the data in the dot plot to improve the airline?
Answer:
The dot plot shows that most planes fly below the optimal cruising speed. This means that the airline isn’t being as efficient as it can be. So, the manager needs to have a discussion with the pilots to determine why they aren’t reaching the optimal cruising speed or check the planes to make sure everything is running at full capacity.
Step-by-step explanation:
the answer that is given on edmentum
2 Which table represents a function? X y X у 2 -3 -3 0 3 0 -2 1 4 -3 -3 2 2 1 2 3 (1) (3) х X у 1 2 AWNIK -4 1 2 1 NO 4. 1 5 4 6 (2) (4)
The only table that represents a function is the fourth option.
What is a function?
A function is a relation that maps elements from a set (domain) into elements of another set (range).
Such that each element from the domain can be mapped into only one element from the range.
In the table, the "x" values are from the domain, and the "y" values are from the range.
So, if you see a table with the same value of x being mapped into two different values of y, then that relation is not a function.
With that in mind, the only table that meets this property is table number 4.
If you want to learn more about functions, you can read:
https://brainly.com/question/1770447
Find c. Determine it from the choices below.
Answer:
12 centimetres
Step-by-step explanation:
I looked it up
A zoo is creating a new exhibit that includes an aquarium in the shape of a right rectangular prism. The water level of the aquarium is 2/3 the height of the aquarium as shown. How much space, in cubic feet, in the aquarium does not contain water?
Answer:
[tex]Volume=56\frac{1}{4}[/tex] cubic feet
Step-by-step explanation:
Given
[tex]L =3\frac{3}{8}ft[/tex] --- Length
[tex]W =13\frac{1}{3}ft[/tex] --- Width
[tex]H =3\frac{3}{4}[/tex] --- Tank
[tex]Water\ level = \frac{2}{3}[/tex]
Required
Space not covered with water
If the water level is:
[tex]Water\ level = \frac{2}{3}[/tex]
Then the empty space is:
[tex]Empty = 1 - Water\ level[/tex] --- Complement rule
[tex]Empty = 1 - \frac{2}{3}[/tex]
Take LCM
[tex]Empty = \frac{3-2}{3}[/tex]
[tex]Empty = \frac{1}{3}[/tex]
So, the volume of the empty space is:
[tex]Volume=L*W*H*Empty[/tex]
[tex]Volume=3\frac{3}{8} *13\frac{1}{3}*3\frac{3}{4}*\frac{1}{3}[/tex]
Express fraction as improper fraction
[tex]Volume=\frac{27}{8} *\frac{40}{3}*\frac{15}{4}*\frac{1}{3}[/tex]
Simplify
[tex]Volume=\frac{9}{8} *\frac{40}{3}*\frac{15}{4}[/tex]
Simplify
[tex]Volume=\frac{3}{8} *\frac{40}{1}*\frac{15}{4}[/tex]
Simplify
[tex]Volume=\frac{3}{1} *\frac{5}{1}*\frac{15}{4}[/tex]
[tex]Volume=\frac{3*5*15}{4}[/tex]
[tex]Volume=\frac{225}{4}[/tex]
[tex]Volume=56\frac{1}{4}[/tex]
What is the missing number in the pattern? 4, ____, 18, 25, 32
Answer:
11 is the missing number
Answer:
the answer should be 11 your welcome
what is x+3=12 simplified?
Answer:
x = 9
Step-by-step explanation:
x + 3 = 12
subtracting both sides by 3
x + 3 - 3 = 12 - 3
x + 0 = 9
x = 9
Answer:
x = 9
Step-by-step explanation:
x + 3 = 12
x (+ 3 - 3) = 12 - 3
x = 9
State the domain of
f(x) = log2(2x - 5)
Answer:
Domain:
(−∞,5/2),{x/x<5/2}
Step-by-step explanation:
not sure tho wait for someone else to see if its true
Witch is greater 17% or 4/25
Answer: 17%
Step-by-step explanation: 4/25=16/100=16%, so 17% is bigger.
Lira plays on a basketball team where all the uniform numbers are multiples of 4
Part A
If the least jersey number is 12, what are the next 4 possible jersey numbers?
A 4,8,12,16
B 8 12 16
C12, 15, 18, 21
D 16, 20, 2420
Part 3
Basketball jersey numbers are always 55 or less
What is the greatest possible jersey number for Lira's team? Enter your answer in the box
What value of x would make Bl parallel to RA?
Given:
Bl parallel to RA.
To find:
The value of x.
Solution:
In triangle ATR and ITB,
[tex]\angle ATR\cong \angle ITB[/tex] [Common angles]
[tex]\angle ART\cong \angle IBT[/tex] [Corresponding angle]
[tex]\triangle ATR\sim \triangle ITB[/tex] [AA property of similarity]
We know that the corresponding sides of a similar triangle are proportional. So,
[tex]\dfrac{AT}{IT}=\dfrac{AR}{IB}[/tex]
[tex]\dfrac{x}{x+8}=\dfrac{12}{18}[/tex]
[tex]\dfrac{x}{x+8}=\dfrac{2}{3}[/tex]
On cross multiplication, we get
[tex]3(x)=2(x+8)[/tex]
[tex]3x=2x+16[/tex]
[tex]3x-2x=16[/tex]
[tex]x=16[/tex]
Therefore, the correct option is C.
Solve for x and then determine the measure of the exterior angle.
Answer:
x=25, 120
Step-by-step explanation:
The two angles form a straight line so they add to 180
60 + 4x +20 =180
Combine like terms
4x+80 = 180
Subtract 80 from each side
4x+80-80 =180-80
4x= 100
Divide by 4
4x/4 =100/4
x= 25
The exterior angle is
4x+20 = 4*25+20 =100+20 =120
Answer:
x=25, 120
Step-by-step explanation:
The two angles form a straight line so they add to 180
60 + 4x +20 =180
Combine like terms
4x+80 = 180
Subtract 80 from each side
4x+80-80 =180-80
4x= 100
Divide by 4
4x/4 =100/4
x= 25
The exterior angle is
4x+20 = 4*25+20 =100+20 =120
If you put $5,000 in an investment that earns 8% interest compounded continuously, how many years, rounded to the second decimal, will take it until you have $8,303.00?
Answer:
6.34 years
Step-by-step explanation:
Given data
Principal P=$5,000
Rate r= 8%
Final amount A= $8,303.00
The expression for the time will be
t= ln(A/P)/r
substitute
t= ln(8,303.00/5000)/0.08
t= ln(1.6606)/0.08
t= 0.507/0.08
t= 6.3375
Hence the time is about 6.34 years
Which is the correct way to calculate the area of a circle?
Answer:
Step-by-step explanation:
Answer:
You must find the diameter then half it, so the radius, and then multiply it by 3.14152
Step-by-step explanation:
Find the value of x.
B
6
X+1
D
E
С
A
x = [?]
Answer:
x = 2
Step-by-step explanation:
Given a line parallel to a side of a triangle and intersecting the other 2 sides then it divides those sides proportionally, that is
[tex]\frac{6}{x+1}[/tex] = [tex]\frac{4}{x}[/tex] ( cross- multiply )
6x = 4(x + 1)
6x = 4x + 4 ( subtract 4x from both sides )
2x = 4 ( divide both sides by 2 )
x = 2
Help me with C number please. Show me how did you do that. It’s due in 30 minutes.
Step-by-step explanation:
[tex]A = x^2-xy+y^2\\C =x^4+x^2y^2+y^4[/tex]
We will now divide C with A.
[tex]\frac{x^4+x^2y^2+y^4}{x^2-xy+y^2}[/tex]
Divide x^2, -xy, y^2. Remember that dividing exponents results in subtracting.[tex]x^4 / x^2 = x^2\\4 - 2 = 2[/tex]
So:
[tex]\frac{1}{x^2+xy+y^2}[/tex]
a man has been driving a second hand car for the past four years. over these four years he managed to save 16% as a deposit of the price of the brand new car he wants to buy. the price of the new car is 750 000... calculate the amount he saved for the deposit
Answer:
$120,000
Step-by-step explanation:
Given that
The price of the new car is $750,000
And, the saving percent is 16%
We need to find out the saving amount for the deposit
SO, the saving amount is
= $750,000 × 16%
= $120,000
We simply multiply these two to each other so that the saving amount could come
can someone help me please?? i really appreciate it
Simplify the scale factor and write it as a proper fraction, improper fraction, or whole number.
Answer:
In summary, the translation and scale factor are:
Translation: (x,y)↦(x+5,y+4)
Scale factor: 2
Step-by-step explanation:
-6y-18 this is really overdue and its hard for me so can someone help
Lightning flashes and is followed by the sound of thunder. The formula that relates the time between seeing the lightning, hearing the thunder, and the distance from the storm is: t = 3y, where t=time (seconds) y= distance (kilometers) How far away is the lightning if you hear the thunder 8 seconds after you see the lightning?
Answer:
2 2/3 kilometers
Step-by-step explanation:
t = 3y
let t = 8
8 = 3y
Divide each side by 3
8/3 = 3y/3
8/3 = y
2 2/3 kilometers
Answer:
2 2/3 kilometers
Step-by-step explanation:
WILL MARK BRAINLIEST
Answer:
1 sample
Step-by-step explanation:
There is only one sample given for 20%
Answer:
the answer would be
b) 1 sample
For the remaining portion of the living room not covered by the new flooring, Michelle wants to paint the concrete. After carefully measuring the exposed concrete, she determines 6 square feet are already painted and the remaining unpainted area forms a square with side length x. The entire area of concrete, including the painted and unpainted portions, is a total of 31 square feet. Write an equation that could be used to find the unpainted square side length x
Answer:
[tex]x^2 + 6 = 31[/tex]
Step-by-step explanation:
Given
[tex]Painted = 6ft^2[/tex]
[tex]Total = 31ft^2[/tex]
Dimension of unpainted area:
[tex]Length = Width = x[/tex] --- Square
Required
Determine an expression to solve for x
First, calculate the area of the unpainted space;
[tex]Area = Length *Width[/tex]
[tex]Area = x*x[/tex]
[tex]Area = x^2[/tex]
The unpainted area, added to the painted area, equals the total area.
So, we have:
[tex]Area + Painted = Total[/tex]
[tex]x^2 + 6 = 31[/tex]
Hence, the expression is: [tex]x^2 + 6 = 31[/tex]
Find the volume of the problem
Answer:It's 1
Step-by-step explanation:
Add at least 2 ways people in this job use arts and music ( that job is a dancer btw)
Answer:
arts: movement and flexibility Music: communication and rhythm
Can y’all help me solve for K ?!
Answer:
Step-by-step explanation:
K+4 = 11;
k = 7
Answer:
B is true
Step-by-step explanation:
so use k+4=11 to solve that k+7
Someone pls help, its on trig ratios.
Answer:
[tex]BC=12.8,\\AC=15.1[/tex]
Step-by-step explanation:
In right triangles only, the tangent of an angle is equal to its opposite side divided by its adjacent side.
Therefore, we have the following equation:
[tex]\tan 58^{\circ}=\frac{BC}{8}[/tex]
Solving, we get:
[tex]BC=8\tan 58^{\circ}\approx \boxed{12.8}[/tex]
Also in right triangles only, the cosine of an angle is equal to its adjacent side divided by the hypotenuse of the triangle.
[tex]\cos 58^{\circ}=\frac{8}{AC},\\AC=\frac{8}{\cos 58^{\circ}},\\AC\approx \boxed{15.1}[/tex]
We can also use the Pythagorean theorem now that we've found BC. However, if you choose to do so, make sure you don't use a rounded value for BC, as that could cause a notable deviation in your final answer.
Using the Pythagorean theorem to verify our answers:
[tex]8^2+(8\tan 58^{\circ})^2=\left(\frac{8}{\cos 58^{\circ}}\right)^2\:\checkmark[/tex]
Solve for x.
0.5x+78.2=287
Answer:
x =417.6
Step-by-step explanation:
0.5x+78.2=287
Subtract 78.2 from each side
0.5x+78.2-78.2=287-78.2
.5x =208.8
Divide each side by .5
.5x/.5 = 280.8/.5
x =417.6
The soccer team scored three goals in their first game seven goals in their next game in two goals
in their third game what was the mean number of the goal scorer for three games
Answer:
4
Step-by-step explanation:
3+7+2
12
12/3
4
Lj thank u so much for helping me
- 8 / 20 = y / - 4
y = - 4 × - 8 / 20
y = 4 × 8 / 4 × 5
y = 8 / 5
Figure D is the result of a transformation on figure C. which transformation would accomplish this?
PLEASE HURRY
Answer:
A translation 1 unit left and 2 units up
Step-by-step explanation:
1) look at the point at the very bottom-we can call that point A
2) that point on figure C would be at (3,-5)
3) if you move it to the left one and up two, you get that same point but on figure D
So, the answer is the second option