Answer:
(3, 5.5)
Step-by-step explanation:
Given the line segment AB with endpoints A(6, 4) and B(2, 6). If the coordinates of the point divide the line segment directed from A to B in the ratio of 1:3, then;
M(X, Y) = {(ax1+bx2)/a+b, ay1+by2/a+b}
X = ax1+bx2/a+b
X = 1(6) + 3(2)/1+3
X = 6+6/4
X = 12/4
X = 3
Similarly;
Y = ay1+by2/a+b
Y = 1(4)+3(6)/1+3
Y = 4+18/4
Y = 22/4
Y = 5.5
Hence the required coordinate is (3, 5.5)
Find the product of (2x-3)(x-1)
Answer:
Step-by-step explanation:
[tex](2x -3)(x-1) = 2x(x-1) -3(x-1)[/tex]
[tex]=2x^2 -2x -3x +3\\= 2x^2 - 5x + 3[/tex]
Which function has an inverse that is also a function?
A. {(-4, 3), (-2, 7), (-1, 0), (4, -3), (11, -7)}
B. {(-4, 6), (-2, 2), 6-1, 6), (4, 2), (11, 2)}
C. {(-4,5), (-2, 9), (–1, 8), (4, 8), (11,4)}
D. {(-4, 4), (-2, -1), (–1, 0). (4.1), (11, 1)}
Given:
The different functions in the form of set of ordered pairs.
To find:
The function which has an inverse that is also a function.
Solution:
A relation is a function if there exists unique y-value for each x-value.
We know that the inverse transformation is defined as:
[tex](x,y)\to (y,x)[/tex]
So, the inverse of function is also a function if their exists unique x-value for each y-value in the function.
In option A, all x-values and y-values are unique. It means, inverse of this function is also a function. So, option A is correct.
In option B, [tex]x=-4[/tex] and [tex]x=-1[/tex] when [tex]y=6[/tex]. It means, inverse of this function is not a function. So, option B is incorrect.
In option C, [tex]x=-1[/tex] and [tex]x=4[/tex] when [tex]y=8[/tex]. It means, inverse of this function is not a function. So, option C is incorrect.
In option D, [tex]x=4[/tex] and [tex]x=11[/tex] when [tex]y=1[/tex]. It means, inverse of this function is not a function. So, option D is incorrect.
Therefore, the correct option is A.
Two Boys are building a skateboard ramp. They want the ramp to be 3 feet tall and 5 feet long. One of them thinks that they can use a piece of plywood that is 4 feet long to cover the top of the frame.
This is one of theirs work.
a2 + b2 = c2
32 + b2 = 52
9 + b2 = 25
b2 = 16
b = 16−−√
b = 4
Why is his reasoning incorrect? Explain.
How long does the piece of plywood have to be to cover the top of the frame of the skateboard ramp? Round your answer to the nearest tenth of a foot. Show your work.
Another boys parents bought a 10 foot piece of plywood for him and his friend to use to cover the top of the frame. Draw and label a ramp they could create. Justify your work using the Pythagorean Theorem.
Draw
Answer:
The answer is below
Step-by-step explanation:
A triangle is a polygon with three sides and three angles. Types of triangles are acute, obtuse, scalene, isosceles, equilateral and right angled triangle.
Pythagoras theorem states that for a right angled triangle, the square of the hypotenuse is equal to the sum of the square of the remaining two sides.
The ramp has the form of a triangle. The height of the ramp is the vertical side of a triangle, the top of the frame is the hypotenuse while the length of the ramp is the base side of the triangle.
Let the hypotenuse be b Hence:
b² = 3² + 5²
b² = 9 + 25
b² = 34
b = 5.83 feet
Answer:C
Step-by-step explanation:
6. Jenny needs to build a box that has a square base and a volume of 900 cm°. The height of the box is related to the length of one side of the base by the function h(s) = 900
a. What value of y satisfies the equation y=h(10). What does this tell you about the box?
Answer:
Step-by-step explanation:
Its 43567 bc I searched it up
Please help??? An explanation would help too and the answers
the first, (f+g)(x) is f(x) + g(x)
calculating it like:
x² + 7x + (8 -x²)
= x² + 7x + 8 -x²
= 7x + 8
you just writ it down as a calculation and calculate it. i hope that helps understanding the concept/basic idea. please let me know wich ones you need more help with.
edit1: the domain is the range of possibilities wich x we can plug into the new equation
A landscaper needs to rent tree-trimming equipment. The graph shows the rental costs for the equipment at two different stores. Choose the ordered pair that best estimates the time and cost at which the two stores charge the same amount.
Answer:
(105 | 35)
the x-component (how much to the side) is left, the y-component right (how high)
The ordered pair that best estimates the time and cost at which the two stores charge the same amount is (110,35).
What is a graph?A graph can be defined as a pictorial representation of statistical data in graphical form. The points on the graph often represents the relationship between two or more things. The points are plotted in x-axis and y-axis respectively.
For the given situation,
The graph shows the time in x-axis and cost in y-axis.
Ordered pairs are often used to represent two variables.
The number which corresponds to the value of x is called the x-coordinate and the number which corresponds to the value of y is called the y-coordinate.
From the graph, the point of intersection of x-axis and y-axis gives the the time and cost at which the two stores charge the same amount.
Thus the point of intersection is x at 110 and y at 35.
⇒ [tex](x,y)=(110,35)[/tex]
Hence we can conclude that the ordered pair that best estimates the time and cost at which the two stores charge the same amount is (110,35).
Learn more about graphs here
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factorise fully 3r+6r2
Answer:
3r(1 + 2r)
Step-by-step explanation:
3r + 6r^2
take common
3r(1 + 2r)
Answer:
3r(1+2r2)
Step-by-step explanation:
URGENT! What are the residuals for the scatter plot. Thank you!
Answer:
demos & mathaway
Step-by-step explanation:
I know this isn't the answer u wanted but go to demos and hit scattered ploys type the data in a table on demos. and it should give u ur answer. hopefully this helps. if not, I hope someone helps u soon.
Find the value of x using the geometric mean theorems.
All radical answers should be entered as a decimal rounded to the nearest tenth.
Answer:
Step-by-step explanation:
Find The Surface Area And Volume Of A Sphere Whose Radius Is 5.6ml
Answer:
surface area is A≈394.08
not so sure about volume
Step-by-step explanation:
Iready
Which of the following accurately compares 15 - v105 and 5?
PLEASE HELP ME
Answer:
[tex]\sqrt{105}[/tex] is slightly more than 10, so 15 - [tex]\sqrt{105}[/tex] is less than 5.
Step-by-step explanation:
Given expression is (15 - √105).
Since, √105 ≈ Slightly greater than 10 [Since, [tex]\sqrt{100}=10[/tex]]
Therefore, when we subtract the value of [tex]\sqrt{105}[/tex] from 15,
15 - [tex]\sqrt{105}[/tex] = Slightly less than 5
From the given options answer will be,
[tex]\sqrt{105}[/tex] is slightly more than 10, so 15 - [tex]\sqrt{105}[/tex] is less than 5.
Jeremy’s car travels 26 miles per gallon of gas (g). If the distance traveled (d) can be given by a function, what is the input of this function?
help me please: tan3x-tanx-1=0
Answer: [tex]x=0.30714\dots +\pi n[/tex]
Step-by-step explanation:
[tex]\Rightarrow \tan3x-\tan x-1=0\\\\\Rightarrow \dfrac{3\tan x-\tan ^3x}{1-3\tan ^2x}-\tan x-1=0\\\\\Rightarrow 3\tan x-\tan ^3x+( 1-3\tan ^2x)(-1-\tan x)=0\\\Rightarrow 3\tan x-\tan ^3x-1-\tan x+3\tan ^2x+3\tan ^3 x=0\\\Rightarrow 2\tan ^3x+3\tan ^2x+2\tan x-1=0\\\Rightarrow \tan \left(x\right)\approx \:0.31718[/tex]
Please help me. I feel really confused and I have no clue on what to do…
Answer:
i cant understand your questions. can you reply me? i will have better answer
10. Solve the following pair of simultaneous equations 2 + x = y xy = 5. 1 Add file
when 2-(7g-3) =-9 is solved, the result is:
a. 2
b. -2
c. -4
d. none of these choices are correct
The answer is A. 2
Step-by-step explanation:
First let's simplify both sides of the equation
Now using the Subtraction Property of Equality subtract 5 from both sides
[tex]-7g+5-5=-9-5-7g=-14[/tex]
Now using the Division Property of Equality divide both sides by -7
Need honest and urgent help thank you
Answer:
(Top to bottom) The third and the fifth.
Step-by-step explanation:
I feel lazy typing this so I'll just take a pic if you're curious about the process.
Nigel has 2 dogs one eats 21/2 pounds of food each week. The other eats 1 3/8 pounds a week together how much food do the dogs eat in a week?
Answer:The dogs eat 3 7/8 pounds of food together each week.
Step-by-step explanation:
First dog eats eats 21/2 pounds of food each week
The second eats eats 1 3/8 pounds of food each week
In total the two dogs eat
2 1/2 + 1 3/8 = 3 (4+3)/8
=3 7/8
The dogs eat 3 7/8 pounds of food together each week.
if f(x) = 3x+2 what is f(5)?
Answer:
just put 5 on the place of x
Step-by-step explanation:
3(5)+2
15+2
17
hope it helps
Answer:
lets say f equals 1
x-2 = 3x
-2 = 2x
x=-1
1(-1)
-1
can somebody help plz
Answer:
(3,2)
Step-by-step explanation:
the other three ordered pairs do not lie in the shaded region
i need help quick!! i need steps please. i dont understand it
will mark brainliest.
Answer:
Its just a slide 2 up and 3 to the right it seems. It can be a mirror because in never changes the shape. as of rules i dont understand want you need please comment and ill let you know
Step-by-step explanation:
It is not a rotation, a mirror a flip or anything like that i think its only slides.
I didnt se this before every slide counts as 2 so its 4 up and 6 to the right
I need help!!!! :))))
Answer:
A=50.24
Step-by-step explanation:
Your diameter is 8, which makes the radius 4.
The area of a circle is
[tex]A = \pi r^{2} \\A = \pi 4^{2}[/tex]
A=50.24
The diagram shows a man standing next to a dinosaur.
Estimate the height of the dinosaur.
Answer:
manz I think u would need like a ruler or something
Hellpp please and thank……………
Answer:
a1 = 2
a2 = 6 = 2.3 = a1.3
a3 = 18 = a1.3²
a4 = 54 = a1.3³
=> this is a geometric sequence with a1 = 2
q = 3
=> a11 = 2.3¹⁰ = 118098
What is the basic unit of time? What is the relationship between time and sound in music? please help im desperate
Which choice is equivalent to 4 square root 3?
A. 12
B. 748
C. V12
D. 6
Which equation describes the line graphed above?
What is sin(51°)?
A. 0.51
B. 1.23
C. 0.78
D. 0.63
Answer:
0.78
used a calculator
What are solutions to the equation x^2-34=864
Answer:
x=29.9
Step-by-step explanation:
x=29.9
The temperature in Chicago, Illinois dropped to -9 °F during the night.
How many degrees must the temperature increase to reach 0 °F?
Answer:
+9
Step-by-step explanation:
+9-9=0