Given:
Coordinates of point A are (2,8).
Point M(-2,2) is the midpoint of AC.
To find:
The coordinates of C.
Solution:
Let the coordinates of point C are (a,b).
Formula for midpoint:
[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
Using the above formula, the midpoint of A(2,8) and C(a,b) is
[tex]M=\left(\dfrac{2+a}{2},\dfrac{8+b}{2}\right)[/tex]
[tex](-2,2)=\left(\dfrac{2+a}{2},\dfrac{8+b}{2}\right)[/tex]
On comparing both sides, we get
[tex]\dfrac{2+a}{2}=-2[/tex]
[tex]2+a=-4[/tex]
[tex]a=-4-2[/tex]
[tex]a=-6[/tex]
and,
[tex]\dfrac{8+b}{2}=2[/tex]
[tex]8+b=4[/tex]
[tex]b=4-8[/tex]
[tex]b=-4[/tex]
Therefore, the coordinates of point c are (-6,-4).
3. Which is the most precise measurement?
120 cm
128 cm
128.77 cm
128.8 cm
I think it is 128.77 cm. Because it has the most numbers, and it is presice.
Is -3/7 rational or irrational
Answer:
Is rational. The value is 0.42857.
Step-by-step explanation:
In the triangle below, 21 = 35 and 23 = 100°.
1
3
What is the measure of angle 2?
Answer: Angle 2: 45°
Step-by-step explanation:
All triangles add up to 180, so all you would so is take both of those angles and subtract them from 180, so basically 180 - 135
How do I solve this problem?
the area of a square rug is 72 square feet. what is the approximate length of one side of the rug?
what is 0.72 bar as a fraction
Answer:
0.72 is the same as 72100 (try putting both into a calculator!) as you can view 1.00 as 11 . Reducing the fraction gives you 72100 = 1825 .
why is knowing math so important
Math is used to help calculate certain things such as taxes and such, but they are mostly important for jobs since certain jobs require knowledge of math. Jobs such as working in a branch of engineer, architecture, etc.
Hector is visiting a cousin who lives 400 miles away he has driven 75 miles how many more miles does he need to drive to reach his cousin’s home let d be how many miles left to reach his cousins house
Answer: Hector needs to drive 325 more miles.
please answer this I really need it!
Answer: 4/49 m^2
Step-by-step explanation:
Multiply
2/7 x 2/7 = 4/49
Answer: 4/49 m^2
Step-by-step explanation:
Area of a square = side X side
Side is 2/7
So, Area = (2/7)*(2/7) = 4/49 m^2
¿Cuál es el valor de 0.1561 redondeado a la décima más cercana?
A 0.15
B 0.16
C 0.1
D 0.2
Answer: 0.2
Step-by-step explanation: Necesitamos ajustar la estimación de 0.1561 al décimo más cercano.
El número después del decimal es el número en el décimo lugar. Considere el número a un lado del lugar de las décimas y utilice el número para decidir si se reunirán o seguirán siendo el equivalente. Observe que el número a un lado del décimo lugar es mayor o equivalente a 5 o menos de 5. En el caso de que ese número sea más digno de mención o equivalente a 5, en ese punto el número se reunirá aún en la remota posibilidad de que ese número es menor de 5, en ese momento el número no se reunirá. Permanecerá igual.
Consideremos el número dado 0.1561
El número en el lugar de las décimas es 1
El número después del punto de las décimas es 5 (que es más prominente o equivalente a 5)
De esta manera, el número se reunirá en 0,2
Solve for x:
x - 6 = - 3x + 22
Plz I need this answer
Answer:
Your Answer is 7
Step-by-step explanation:
Very Simple!
x-6 = -3x + 22
Move the 6 over to the other side by adding 6 to both sides
x = -3x + 28
add 3x to both sides!
4x = 28
Divide by 4!
x = 28/4
x = 7!
Answer:
x=7
Step-by-step explanation
x-6 = -3x +22
+6 +6
x = -3x +28
+3x +3x
4x = 28
÷4. ÷4
x=7
any one single and i need help 50 times 6 dived by 30
Answer:
ahah yea and its 10 by the way
Answer:
heyyyyy :) its 10
Step-by-step explanation:
Can (3,0) (0,-2) (6,2) and (-3,-4) be generated as a linear function yes or no?
which integer is closest to √55 ?
Answer:
when you simplify √55
you get
7.41619848.....
the integer closest to 7.41619848... is 7
So the answer is 7
is the inequality always sometimes or never true?
9x+2(2+x)<5+9x
Answer:
9x+7=5x-3
Step-by-step: are u looking for this?
please help meee. i honestly do not get what is being posted and need help
help dont understand like its confusing one minute u add then substract like...
Answer:
53 degrees
Step-by-step explanation:
< will be angle UwU (using pc)
m<JKM = 151 degrees is the total angle combining m<1 and M<2
therefore, we subtract m<2 from m<JKM to find m<1
Here is the equation:
m<JKM = m<1 + m<2
151 = m<1 + 98 (substitute)
53 = m<1 (simplify the like term so we subtracted 98 on both sides)
hope this helps!
is it ever possible that |x| = -x and can you explain please
Answer:
No
Step-by-step explanation:
The reason is that the absolute value of x is always not going to equal a negative.
|-1| = 1 (correct)
|-1| = -1 (incorrect)
Answer:
Never.
Step-by-step explanation:
Whenever there is an absolute value is a variable or number and it's negative or positive, the answer will always be positive ex., |-x| = x |x| = x
The formula c = 2.54n can be used to convert a measurement of c centimeters to an equivalent measure of n inches. Henry is 170 cm tall. What is his height, in inches? Round your answer to the nearest tenth of an inch. 66.7 in. 66.8 in. 66.9 in. 67.0 in.
Answer:
66.9
Step-by-step explanation:
Answer:
[tex]\boxed {\tt 66.9 \ inches}[/tex]
Step-by-step explanation:
We are given the formula:
[tex]c=2.54n[/tex]
where [tex]c[/tex] is centimeters and [tex]n[/tex] is inches.
We know that Henry is 170 centimeters tall. Therefore, we can substitute 170 in for [tex]c[/tex]
[tex]170=2.54n[/tex]
We want to find out how tall Henry is, in inches. We must isolate the variable for inches, [tex]n[/tex], on one side of the equation.
[tex]n[/tex] is being multiplied by 2.54. The inverse of multiplication is division. Divide both sides of the equation by 2.54
[tex]\frac{170}{2.54} =\frac{2.54n}{2.54}[/tex]
[tex]\frac{170}{2.54}=n[/tex]
[tex]66.9291339=n[/tex]
Round to the nearest tenth. The 2 in the hundredth place tells us to leave the 9 in the tenth place.
[tex]66.9 \approx n[/tex]
[tex]n \approx 66.9 \ inches[/tex]
Henry is about 66.9 inches tall.
4X-3 (x²+2x)
Find (f-g) (4)
Answer:
-11
Step-by-step explanation:
assuming 4x-3 = f(x) and the other equation = g(x)
(4x-3) - (x^2 +2x)
(4(4)-3) - (4^2 +2(4)
(16-3)-(16+8)
(13)-(24)
-11
I need help with this one please.
Answer:
m=3
Step-by-step explanation:
slope=m=y2-y1/x2-x1
(29,97),(18,64) for given points
m=64-97/18-29 ⇒ m=-33/-11
m=3
b): 97/29 ,64/18,-14/-8, 52/14,-71/-27
No, it does not matters which points you take to calculate the slope because at each point m=3for points (18,64) and (-8,-14)m=-14-64/-8-18
m=-78/-26
m=3for points:(-8,-14) and (14,52)m=52+14/14+8
m=66/22
m=3for points (14,52) and (-27,-71)m= 3write the equation of a line at a point (-8,-14)the equation of a line: y=mx+by=-14 , x=-8 , m=3, find b-14=3(-8)+b-14=-24+bb=-14+24b=10the equation : y=3x+10Amy and her sister are making lemonade for the school dance. Their recipe makes 2 quarts of lemonade. If they make 35 times the recipe how many gallon
Answer:
Amy and her sister will have 17.5 gallons of lemonade for the school dance.
Step-by-step explanation:
The sister's recipe makes 2 quarts of lemonade. As they want to make 35 times more, so total number of quarts made will be =
quarts
Now, 4 quarts has 1 gallon.
So, total number of gallons in 70 quarts will be =
tex]\frac{70}{4} =17.5[/tex] gallons.
Hence, the answer is 17.5 gallons.
F(x) = 6x³- x²+ 7x +5
Answer:
F= 6x²-x+7+ 5/x
Step-by-step explanation:
Divide each term by x and simplify it.
Hope this helps.
please answer i need it fast!!!!!!!!
145 is the answer bruh i cant type
Mr Cole made this diagram of his bedroom. Which is the area of Mr. Cole's bedroom?
10 ft
5 ft
4 ft
8 ft
A 90 square feet
B 82 square feet
c 72 square feet
D 36 square feet
Answer:
B
Step-by-step explanation:
area =area of full shape - area of B
=10×9-4×2
=90-8
=82
A dinner for 7 people costs $215. 75. Approximately how much will each person pay if they split the bill evenly?
Answer:$30.82
Step-by-step explanation:
215.75
You divide by 7 because there are 7 people
215.75 divided by 7
Nate wants to visit his friend max before going to the park. Nates house is located at (-2,4), while the park is located at (10,2) find the location of macs house if it’s 1/2 of the distance from Nates house to the park
Answer:
(5,1)
Step-by-step explanation:
if macs house if it’s 1/2 of the distance from Nate house to the park then half the distance of 10,2 is 5,1
The required coordinate of the max location is (4, 3).
Given that,
Nate wants to visit his friend max before going to the park. Nate's house is located at (-2,4), while the park is located at (10,2).
To find the location of macs house if it’s 1/2 of the distance from Nate's house to the park.
The midpoint is that point the line whose distance from both the ends of the line is equal.
Here,
Max lies 1/2 the distance of Nate and Park,
Location of max is given by,
= 10 - 2 / 2 and 4 + 2 / 2
= 8 / 2 and 6 / 2
= 4 and 3
Location of max is (4, 3)
Thus, the required coordinate of the max location is (4, 3).
Learn more about midpoints here:
https://brainly.com/question/28224145
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The “Get Up” challenge set to Ciara’s song is a dance that takes about 15 seconds to perform. What percent of the full 4-minute-and-23-second song does the dance represent?
Answer:
5.70%
Step-by-step explanation:
It takes the time to perform on Ciara's song = 15 seconds
Total time given as 4 minutes 23 seconds ≈ (4×60) seconds + 23 seconds
= 240 seconds + 23 seconds
= 263 seconds
Percent of time taken to perform of the full time = [tex]\frac{\text{time taken to perform}}{\text{Total time}}\times 100[/tex]
= [tex]\frac{15}{263}\times 100[/tex]
= 5.70 %
Therefore, percent of the time taken for the performance on the full song will be 5.70%
What is X= to and what does Y= to?
Step-by-step explanation:
Straight line = 180 °
5x + 78 = 180
5x = 180 - 78
5x = 102
x = 20.4
and y = 78 ° because y is an opposite angle of 78 °
K
(
28) cm
V
1 cm
M
Han
56x-5
1.5 cm
W
Given that figure JKLMNWWXYZ. Find the value of y
Answer:
[tex] \boxed{\sf y = 6 \ cm} [/tex]
[tex] \boxed{\sf x = 25 \degree} [/tex]
Step-by-step explanation:
It is given that JKLMN [tex] \sim [/tex] VWXYZ
So, from this we can say that:
JK [tex] \sim [/tex] VW & ∠LMN [tex] \sim [/tex] ∠XYZ
i.e.
(2y - 8) cm = 4 cm & 4x° = 5(x - 5)°
Solving for y:
⇒2y - 8 = 4
Adding 8 to both sides:
⇒2y - 8 + 8 = 4 + 8
-8 + 8 = 0:
⇒2y = 4 + 8
4 + 8 = 12:
⇒2y = 12
Dividing both sides by 2:
⇒[tex] \sf \dfrac{2y}{2} = \dfrac{12}{2} [/tex]
[tex] \sf \dfrac{2}{2} = 1: [/tex]
⇒y = [tex] \sf \dfrac{12}{2} [/tex]
[tex] \sf \dfrac{12}{2} = 6: [/tex]
⇒y = 6 cm
Solving for x:
⇒4x° = 5(x - 5)°
Expanding right hand ride expression:
⇒4x° = 5x° - 25°
Adding 25° to both sides:
⇒4x° + 25° = 5x° - 25° + 25°
25° - 25° = 0°:
⇒4x° + 25° = 5x°
⇒5x° = 4x° + 25°
Substracting 4x° from both sides:
⇒5x° - 4x° = 4x° - 4x° + 25°
4x° - 4x° = 0°:
⇒5x° - 4x° = 25°
5x° - 4x° = x°:
⇒x° = 25°