[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ C(\stackrel{x_1}{2}~,~\stackrel{y_1}{8})\qquad D(\stackrel{x_2}{x}~,~\stackrel{y_2}{y}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ x + 2}{2}~~~ ,~~~ \cfrac{ y + 8}{2} \right)~~ = ~~\stackrel{\stackrel{M}{\downarrow }}{(-2~~,~~2)}\implies \begin{cases} \cfrac{x+2}{2}=-2\\[1em] x+2=-4\\ \boxed{x=-6}\\[-0.5em] \hrulefill\\ \cfrac{y+8}{2}=2\\[1em] y+8=4\\ \boxed{y=-4} \end{cases}[/tex]
Which could be the function? f(x) = (x 4)2 f(x) = x2 4 f(x) = (x – 4)2 f(x) = x2 – 4.
Answer:
C. f(x) = (x-4)^2
Step-by-step explanation:
The function among the given option is f(x) = (x – 4)² hence option (C) will be the correct.
What is a function?A certain kind of relationship called a function binds inputs to essentially one output.
A function can be regarded as a computer, which is helpful.
The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.
In other words, the function is a relationship between variables, and the nature of the relationship defines the function for example y = sinx and y = x +6 like that.
Given that which one is a function so it is clear that f(x) = (x – 4)² is the best relation between x and f(x).
Hence this option will be the correct answer.
For more about the function
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A trolley charges $3.00 just to get in the car and $1.00 for each mile traveled. How much would it cost to travel 5 miles? 8 miles? 20 miles?
Answer:
5 miles = $8
8 miles = $11
20 miles = $23
Step-by-step explanation:
If admission is 3 dollars, then we already know that is the minimum we have to pay. The rest of the money we spend on the trolley depends on how many miles we travel on it. If each mile is 1 dollar, then we can use a variable to represent the number of miles since there are numerous possible answers.
The basic equation to represent the scenario is:
3 + x
Since x represents the amount of miles traveled, we can replace it with 5, 8, or 20.
3 + 5 = 8 dollars
3 + 8 = 11 dollars
3 + 20 = 23 dollars
Liz has 28 coins in her pockets that are nickels and quarters. She has a total of $4.60. How much money does liz have in her pocket from nickels alone?
Answer: 12
Step-by-step explanation:
ignore the papers in the back lol
Can someone please help me?
Which of the following is equivalent to 23 X^-1/2
Answer:
The answer is 42/2
Step-by-step explanation:
I am so sorry if its not correct please tell me so i can fix my mistake if so.
How far to get to the the coldest place on Earth?
Answer:
Oymyakon is the coldest permanently-inhabited place on Earth and is found in the Arctic Circle's Northern Pole of Cold. In 1933, it recorded its lowest temperature of -67.7°C.
hope it will help
what is ratio of perimiters
Answer:
Ratio of their perimeters is equal to the ratio of their corresponding side lengths. the ratio of their areas is equal to the square of the ratio of their corresponding side lengths.
find any 4 rational numbers between -1/2 and 1/2
Answer:
Step-by-step explanation:
Multiply the numerator and denominator of rational numbers by 5
[tex]\dfrac{-1}{2}=\dfrac{(-1)*5}{2*5}=\dfrac{-5}{10}\\\\\\\dfrac{1}{2}=\dfrac{1*5}{2*5}=\dfrac{5}{10}\\\\\\In\ between \ rational \ numbers \\\\\dfrac{-4}{10} ; \dfrac{-3}{10}; \dfrac{-2}{10}; \dfrac{-1}{10}[/tex]
Im du.mb at this stuff, i dont know how to do it
Answer:
the correct answer will be 88
Answer:
Area of the shaded region 45.76 cm².
Step-by-step explanation:
Firstly, finding the area of rectangle by substituting the values in the formula :
[tex]{\longrightarrow{\pmb{\sf{A_{(Rectangle)} = l \times b}}}}[/tex]
→ A = Area→ l = length → b = breadth[tex]\begin{gathered} \qquad{\longrightarrow{\sf{A_{(Rectangle)} = l \times b}}}\\\\\qquad{\longrightarrow{\sf{A_{(Rectangle)} = 12\times 8}}}\\\\\qquad{\longrightarrow{\sf{A_{(Rectangle)} = 96}}}\\\\\qquad{\star{\boxed{\sf{\pink{A_{(Rectangle)} = 96 \: {cm}^{2}}}}}} \end{gathered}[/tex]
Hence, the area of rectangle is 96 cm².
[tex]\rule{200}2[/tex]
Secondly, finding the area of circle by substituting the values in the formula :
[tex]{\longrightarrow{\pmb{\sf{A_{(Circle)} = \pi{r}^{2}}}}}[/tex]
→ A = Area → π = 3.14 → r = radius[tex]\begin{gathered} \qquad{\longrightarrow{\sf{A_{(Circle)} = \pi{r}^{2}}}} \\ \\ \qquad{\longrightarrow{\sf{A_{(Circle)} = 3.14{(4)}^{2}}}} \\ \\ \qquad{\longrightarrow{\sf{A_{(Circle)} = 3.14{(4\times 4)}}}} \\ \\ \qquad{\longrightarrow{\sf{A_{(Circle)} = 3.14(16)}}} \\ \\ \qquad{\longrightarrow{\sf{A_{(Circle)} = 3.14 \times 16}}} \\ \\ \qquad{\longrightarrow{\sf{A_{(Circle)} \approx 50.24}}} \\ \\ \qquad{\star{\boxed{\sf{\purple{A_{(Circle)} \approx 50.24 \: {cm}^{2}}}}}} \end{gathered}[/tex]
Hence, the area of circle is 50.24 cm².
[tex]\rule{200}2[/tex]
Now, finding the area of shaded region by substituting the values in the formula :
[tex]\longrightarrow{\pmb{\sf{A_{(Shaded)} = A_{(Rectangle)} - A_{(Circle)}}}}[/tex]
→ A = Area→ Rectangle → Circle[tex]\begin{gathered}{\quad{\longrightarrow{\sf{A_{(Shaded)} = A_{(Rectangle)} - A_{(Circle)}}}}}\\\\{\quad{\longrightarrow{\sf{A_{(Shaded)} = 96 - 50.24}}}}\\\\{\quad{\longrightarrow{\sf{A_{(Shaded)} \approx 45.76}}}}\\\\{\quad{\star{\boxed{\sf{\red{A_{(Shaded)} \approx 45.76 \: {cm}^{2}}}}}}} \end{gathered}[/tex]
Hence, the area of shaded region is 45.76 cm².
[tex]\rule{300}{2.5}[/tex]
The vertices of AXYZ are X(1, –4), Y(-2, -1), and Z(3, 1). For the
translation T-4.-3) (AXYZ), give the vertices of AX'Y'Z'.
()
Answer:
X'₍₋₃ , ₋₇), Y'₍₋₆ , ₋₄), Z'₍₋₁ , ₋₂₎
Step-by-step explanation:
X₍₁ , ₋₄₎ translation T₍₋₄ , ₋₃₎ => X'₍₁₊ ₋₄ , ₋₄₊ ₋₃₎ => X'₍₋₃ , ₋₇)
Y₍₋₂ , ₋₁₎ translation T₍₋₄ , ₋₃₎ => Y'₍₋₂ ₊ ₋₄ , ₋₁₊ ₋₃₎ => Y'₍₋₆ , ₋₄)
Z₍₃ , ₁₎ translation T₍₋₄ , ₋₃₎ => Z'₍₃₊ ₋₄ , ₁₊ ₋₃₎ => Z'₍₋₁ , ₋₂)
the sum of a numner x and 4 equals 12
SOLUTION:
=) x + 4 = 12
=) x = 12 - 4
=) x = 8
Two quantities that form a proportion are?
What is the point-slope form of a line with slope 4/5 that contains the point (-2, 1)?
A. y - 1 = 4/5(x + 2)
B. y + 1 = 4/5(x - 2)
C. y - 1 = 4/5(x - 2)
D. y + 1 = 4/5(x + 2)
Hi! Let me help you! :)
We are given the slope of the line and a point that it passes through.We can use the Point-Slope formula:y-y1=m(x-x1)y-1=4/5(x-(-2)y-1=4/5(x+2)Answer:
y-1=4/5(x+2)
Hope you find it helpful.
~Nature~
Enjoy your day! :)
Please help on 19 this needs to be finished tonight and I’m desperate I need help really bad my mom doesn’t understand this and my dad knows how to do it but can’t explain it and I don’t have any older siblings so I’m on my own when it comes to math please help me please
Step-by-step explanation:
[tex](4 {x }^{2} + 3 {y}^{2} ) {}^{0} \\ rule \: of \: zero = {x}^{0} = 1 \\ answer = 1[/tex]
what is two ways to rewrite 21x^2 -42x +14 in equvalent form? i really need help here lol-
Answer:
7(3x^2-6x+2)
Step-by-step explanation:
21, 42, 14 they can be divided by 7 so we put 7 out
Essay about how we use math in our every day life. Give me a paragraph or something pleaseee
Answer:
Math is required in every day life. When you go to the grocery store determining which is the better deal. Or when cooking to figure out exactly what ingredients you need or hu=ow much. Math is required everyday to do very simple tasks
Step-by-step explanation:
what is the gradient of the blue line ??
Answer:-5
Step-by-step explanation:
The solution is in the attached file below
The gradient of the blue line that passes through the points (-1, 0) and (0, -5) is -5.
What is the slope ( gradient ) of the line?The Slope (gradient) is simply expressed as a change in y over the change in x.
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
The blue line in the graph runs through points (-1, 0) and (0, -5).
To find the gradient (slope) of the blue line passing through the points (-1, 0) and (0, -5), we use the slope formula.
Point (-1,0): x₁ = -1 and y₁ = 0
Point (0, -5): x₂ = 0 and y₂ = -5
Plug the coordinates into the above formula:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}\\\\m = \frac{-5 - 0}{0 - (-1)}\\\\Simplify:\\\\m = \frac{-5 - 0}{0 + 1}\\\\m = \frac{-5}{ 1}\\\\m = -5[/tex]
Therefore, the slope is -5.
Learn more about slope formula here: brainly.com/question/24578307
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Please help meeee!!!
Answer:
q.1. [tex]12[/tex]
q.2. [tex]72[/tex]°
q.3. [tex]KU=12[/tex]
Step-by-step explanation:
Describe how to determine f(x) and g(x) when x=5
Answer:
brainly is the best study app in the world
Question 1 of 10
Which inequality represents all values of x for which the product below is
defined?
VX-6. Vx+3
O A. X2-3
O B.X26
O c. x20
O D. Xs6
Answer:
B. x ≥ 6
Step-by-step explanation:
The value √(x-6) is only defined for x ≥ 6, where the argument of the square root function is non-negative.
Similarly, the value √(x+3) is only defined for x ≥ -3.
The product can only be computed where both functions are defined:
(x ≥ 6) ∩ (x ≥ -3) = x ≥ 6
name the points, lines and planes in the given figure.
Hello!
name the points,
A,B,C,D, E,F, G H
lines
AB,AD, BC, DC, AE, BF, CG, DH, EH, EF, HG, GF
and planes in the given figure.
ABCD, AEHD, BFGC, EHGF
How do I find the value of x?? please help
Add the two angles and then subtract from 180* to find the missing angle
So,
145* + 15* = 160*
180* - 160* = 20*
Answer: x = 20*
13 is 65% of what number?
Answer:
20
Step-by-step explanation:
set up equation
13/x=65/100
cross multiple: 1300=65x
divide 1300/65=20
The area of a rectangular rug is 21 square feet. The perimeter is 20 feet. What are the dimensions of the rug?
Answer: The length is 7, the width is 3.
Step-by-step explanation:
7*3 = 21 which is the area, also 7 and 3 are the only factors of 21.
7+7 is 14,
3+3 is 6
14 + 6 is 20 which is the perimeter.
solve the linear system using elimination
4x - 3y = 8
5x - 2y = -11
Answer:X=-7 and y=-12
Step-by-step explanation:
The solution is in the file below
Want to be friends. Just asking
Answer:
yes I know is that possible
Answer
sure
Step-by-step explanation:
3ab+4ab^3 I really need help please help meeeee!!!!
Answer:
ab times (3+4b^2)
Step-by-step explanation:
You would factor the equation.
4(x+1 1/3) =9 2/3 enter your answer as a mixed number in simplest from
Answer:
x = 13/12
x = 1 1/12
Step-by-step explanation:
4 (x + 1 1/3) = 9 2/3
4x + 5 1/3 = 9 2/3
subtract 5 1/3 from each side
4x = 4 1/3
divided by 4 on each side
x = 13/12
x = 1 1/2
hope this helps! :)
What is the percent of change if 38 is decreased to 25? round to the nearest whole number
Answer:
7.89474% decrease
Step-by-step explanation:
Solution:
Calculate percentage change
from V1 = 38 to V2 = 35
(V2−V1)|V1|×100
=(35−38)|38|×100
=−338×100
=−0.0789474×100
=−7.89474%change
=7.89474%decrease
At the beginning of the month we had a current account of € 467. After withdrawing five identical amounts from the account, we were left with € 88. How Much Money Do We Make Every Time?
Answer:
€75.80
Step-by-step explanation:
Start with €467.
End up with €88.
Total amount withdrawn:
€467 - €88 = €379
The total amount was withdrawn in 5 equal amounts.
Each amount taken is:
€379 ÷ 5 = €75.80