Answer:
[tex]MP= (-6,3)[/tex]
Step-by-step explanation:
[tex]MP= (\frac{x_1+x_2}{2} )(\frac{y_1+y_2}{2} )\\MP= (\frac{6+-6}{2} )(\frac{12+-6}{2} )\\MP= (\frac{-12}{2} )(\frac{6}{2} )\\MP= (-6,3)[/tex]
Find the distance between each pair of points (-1,4) and (1,-1)
Answer:
d = [tex]\sqrt{29}[/tex]
Step-by-step explanation:
[tex]d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\d= \sqrt{(1-(-1))^2+(-1-4)^2} \\d= \sqrt{(2)^2+(-5)^2} \\d= \sqrt{4+25} \\d=\sqrt{29}[/tex]
The distance between each pair of points (-1,4) and (1,-1) is √29 units after using the distance formula.
What is a distance formula?It is defined as the formula for finding the distance between two points. It has given the shortest path distance between two points.
The distance formula can be given as:
[tex]\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
It is given that:
The distance between each pair of points (-1,4) and (1,-1)
Two points are (-1, 4) and (1, -1)
To find the distance between the above two points using the distance formula:
[tex]\rm d=\sqrt{(1-(-1))^2+(-1-4)^2}[/tex]
[tex]\rm d=\sqrt{(1+1)^2+(-1-4)^2}[/tex]
The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division
d = √[(2)² + (-5)²]
d = √(4 + 25)
d = √29 units
Thus, the distance between each pair of points (-1,4) and (1,-1) is √29 units after using the distance formula.
Learn more about the distance formula here:
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What is this -5=1-6x+6
Classrooms on one side of the drama building are all numbered with consecutive even integers. If the first room, the room with the smallest classroom number, on this side of the building is numbered y, write an expression in y for the sum of the
first four classroom numbers in a row. Then simplify this expression
The sum of the first four classroom numbers in a row is
Consecutive odd numbers are two apart (5, 7, 9, 11...). So given an odd integer, we can add 2 to get the next odd integer.
If the first odd integer is y, then the first 4 odd integers are
y
y+2
y+4
y+6
These add up to 4y+12
The sum of the first four classroom numbers in a row is 4y+12.
It is required to find the sum of the first four classroom numbers in a row.
What is arithmetic?Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.
Given:
Since the smallest classroom number on the side of the building is numbered y and each consecutive even integers is separated by a difference of 2.
∴
y is the first class room.
y + 2 is the second class room.
y + 4 is the third class room.
y + 6 is the third class room.
The sum of the five consecutive class rooms are given as:
y + (y + 2) + (y+ 4) + (y + 6)
collecting alike terms we get
= y + y+ y+ y + 2 + 4 + 6
= 4y + 12
Therefore, the sum of the first four classroom numbers in a row is 4y+12.
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Solve for x.
x+16, 4x-5
Answer:
if they are being equaled to each other, then x=7
Write an equation of the line passing through the point (5, 1) that is perpendicular to the line 5x+3y=15.
Answer:
y = [tex]\frac{3}{5}[/tex] x - 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
5x + 3y = 15 ( subtract 5x from both sides )
3y = - 5x + 15 ( divide all terms by 3 )
y = - [tex]\frac{5}{3}[/tex] x + 5 ← in slope- intercept form
with slope m = - [tex]\frac{5}{3}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{5}{3} }[/tex] = [tex]\frac{3}{5}[/tex] , thus
y = [tex]\frac{3}{5}[/tex] x + c ← is the partial equation
To find c substitute (5, 1) into the partial equation
1 = 3 + c ⇒ c = 1 - 3 = - 2
y = [tex]\frac{3}{5}[/tex] x - 2 ← equation of perpendicular line
Here, we are required to Write an equation of the line passing through the point (5, 1) that is perpendicular to the line 5x+3y=15.
The equation of the line is; 3x - 5y = 10.
By comparison with the equation of a straight line: y = Mx + c
The equation 5x+3y=15 can be rewritten as ;
y = (-5/3)x + 5
Therefore, the slope of the equation is; (-5/3)
The product of the slope of two perpendicular lines is: -1.
therefore m1m2 = -1
Therefore; M2 = -1/(-5/3)
Therefore M2 = 3/5
The equation of the line passing through the point (5, 1) that has slope, M2 = 3/5 is;
3/5 = (y - 1)/(x - 5)
By Cross product;
3x - 15 = 5y -5
Therefore, the equation of the line is;
3x - 5y = 10.
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you have $55 in your bank account each week you plan to deposit $7 from your allowance and $25 from your paycheck. the equation b = 55+(25+7)w gives me je amount b in your account after w weeks. how many weeks from now will you have $270 in your bank account?
Answer:
7 weeks
Step-by-step explanation:
Answer: The answer is 3.10
Step-by-step explanation: Fisrt of all you add 25+7 which gives you 32. Add 32 and 55, gives you 87. You need to figure out w and b is 270. So 270 divided by 87 is 3.10. So you need 3.10 weeks.
The volume of the cell phone is 75 cubic centimeters. Write and solve an equation to find the height of the cell phone. Round your answer to the nearest tenth
Answer:
Equation: [tex]Height = \frac{75}{Area}[/tex]
Step-by-step explanation:
The question is incomplete as the dimension of the phone was not given.
However, the following explanation will guide you
Given
[tex]Volume = 75\ in^3[/tex]
Required
Determine the Height
Volume is calculated as thus;
[tex]Volume = Area * Height[/tex]
Substitute 75 for Volume
[tex]75= Area * Height[/tex]
Divide through by Area
[tex]Height = \frac{75}{Area}[/tex]
The above represent the equation to solve for Height
To solve for height, we need the dimension of the phone or the area.
Take for instance; the length and width of the phone is 5 by 5 inches;
The height would be:
[tex]Height = \frac{75}{5 * 5}[/tex]
[tex]Height = \frac{75}{25}[/tex]
[tex]Height = 3\ inches[/tex]
hey how do you do this problem
What is the slope of the line through(-4,2) and (3,-3)?
Answer: [tex]-\frac{5}{7}[/tex]
Step-by-step explanation:
To find the slope of the line, you want to use the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex].
[tex]m=\frac{-3-2}{3-(-4)} =\frac{-5}{7}[/tex]
Now we know the slope is [tex]-\frac{5}{7}[/tex].
GUYS PLZ HELP ME!!!!!!
Answer:
B E F G
Step-by-step explanation:
Polygons are 2 dimensional shapes with straight edges (no curved edges). The shape needs to be closed up entirely to be a polygon. It cannot have any intersecting line segments
A can't be a polygon because the shape isn't closed up entirely
C can't be a polygon because it is a 3d shape
D can't be a polygon because it has curved edges.
H can't be a polygon because it isn't closed up (there are no line segments).
I can't be a polygon because polygons cannot have intersecting lines
J can't be a polygon because polygons cannot have intersecting lines
I hope this helps! If it does, a rate or brainliest would be much appreciated. :)
as a fraction:
(i) 48%
(ii) 220%
(iii) 2.5%
Answer:
48% = 48/ 100 = 12/25220% = 220/100=11/52.5% = 25/1000 = 1/40i. 48%
ii. 220%
iii. 2.5%
To Convert:The given percentage into fractions.
Answer:[tex] \large \purple {\tt {i. \: 48\% = \frac{48}{100} = \frac{12}{25}}} [/tex]
[tex] \large \pink {\tt {ii. \: 220\% = \frac{220}{100} = \frac{11}{5}}} [/tex]
[tex] \large \blue {\tt {iii. \: 2.5\% = \frac{2.5}{100} = \frac{1}{40}}} [/tex]
for line segment ac, point b is between points a and c. points abc are collinear. if ab=x-7, bc=2x-2, and ac=x+13. solve for bc
Answer:
BC = 20Step-by-step explanation:
Point B is between points A and C and points A, B, C are collinear so
AB + BC = AC
x-7 + 2x-2 = x + 13
3x - 9 = x + 13
+9 +9
3x = x + 22
- x - x
2x = 22
BC = 2x - 2 = 22 - 2 = 20
what is the Y 2(7y−1)=40
Answer:
3
Step-by-step explanation:
2(7y−1)=40
14y-2=40
14y=40+2
14y=42
y=3
please mark as brainliest
Susie starts her hike at 255 feet below sea level when she reaches the end of the hike she is still below sea level at -178 feet what was the change in elevation from the beginning of Susie’s hike to the end of the hike
Answer:
98 was the change in elevation
Step-by-step explanation:
PLEASE HELP
what is the max or min value of
2x^2-12 − 14
Answer:
-22
Step-by-step explanation:
A factory makes 5,301 plastic forks per hour. How many plastic forks will the factory make in 51 hours?
Constanza le hizo una caja de regalo a su papá. La medida de una de las aristas de la caja es de 15 cm. Si la caja tiene forma de un cubo. ¿Cuántos cm2 de papel de regalo deberá ocupar como mínimo para forrar la caja?
Answer:
Constanza ocupará, como mínimo, para forrar la caja:
1350 cm²
para forrar la caja
Step-by-step explanation:
En un cubo cada una de las aristas que lo conforman miden lo mismo.
Un cubo tiene 6 caras.
La formula del área del área de las 6 caras del cubo es:
área total del cubo = a = 6*arista²
en este caso:
a = 6*(15cm)²
a = 6 * 225 cm²
a = 1350 cm²
Answer:1350 cm²
Step-by-step explanation:idfk
If a person walks 1/4 mile in 10 minutes, how far will that person walk in one hour
Answer:
the answer is 1 whole and 1/2
Step-by-step explanation:
1 and 1/2
It cost Hudson $28.20 to send 188 text messages. How much would it cost to send 63 text messages? Good luck!
Answer: It would cost $9.45
$28.20/188= .15
then .15 times 63=9.45
I might be brain dead but can you help me and tell me how to solve this if I don’t have measurements?
Answer:
102 degrees
Step-by-step explanation:
Supplement means when both angles are added together they would equal 180. So,
78 + Angle 6 = 180
Angle 6 = 102
.
A. 139
B. 147°
C. 155
D. 157
PLEASE HELP ASAAAPP!
Answer:
[tex]\huge\boxed{157 \ \ \text{degrees}}[/tex]
Step-by-step explanation:
In order to find the value of ∠EFB here, we have to note our angle relationships.
We know that ∠CFE is already 90°. We also know that ∠CFA is 90°. Angle ∠AFB is inside ∠CFA. Since we know the measure of ∠AFB, we can find the measure of ∠BFC.
[tex]23 + x = 90\\\\x = 90-23\\\\x = 67[/tex]
Now that we know ∠CFE and ∠BFC, which together make ∠BFE, we can add these angles up.
[tex]90+67=157[/tex]
Hope this helped!
Emily and Hunter tracked the average temperature in their city for the past 8 days. They recorded their temperature findings in this list 66°F, 57°F, 61°F, 65°F, 54°F, 62°F, 59°F, 56°F
What is the mean absolute deviation of this data set?
Enter your answer in the box.
Answer:
The mean absolute deviation = 3.5°F
Step-by-step explanation:
The sum of the given temperatures, ∑T, is found as follows;
∑T = 66°F + 57°F + 61°F + 65°F + 54°F + 62°F + 59°F + 56°F = 480°F
The number of days, n, over which the temperature was tracked = 8 days
Therefore, the mean, [tex]\bar x[/tex], of the data set = ∑T/n = 480°F/8 = 60°F
The mean absolute deviation is given by the following formula;
[tex]Mean \ absolute \ deviation = \frac{\sum \limits_{i = 1}^{n} \left | x_i - \bar x \right | }{n}[/tex]
Therefore, we have;
66 - 60 = [tex]\left | 6\right |[/tex] = 6
57 - 60 = [tex]\left | -3\right |[/tex] = 3
61 - 60 = [tex]\left | 1\right |[/tex] = 1
65 - 60 = [tex]\left | 5\right |[/tex] = 5
54 - 60 = [tex]\left | -6\right |[/tex] = 6
62 - 60 = [tex]\left | 2\right |[/tex] = 2
59 - 60 = [tex]\left | -1\right |[/tex] = 1
56 - 60 = [tex]\left | -4\right |[/tex] = 4
The mean absolute deviation is therefore;
The mean absolute deviation = (6 + 3 + 1 + 5 + 6 + 2 + 1 + 4)/8 = 3.5°F.
Ryan is trying a low-carbohydrate diet. He would like to keep the amount of carbs consumed in grams between the levels shown in the following compound inequality: 110 < 2x + 10 and 2x + 10 < 310 Solve for x in this inequality, and explain what the answer represents.
Answer:
[tex]50<x<150[/tex]
Ryan would like to eat more than 50 carbs per day, but no more than 150 carbs per day.
So, Ryan's total carb intake must be between 50 and 150 carbs.
Step-by-step explanation:
So he wants to keep his consumption of carbs between the inequalities:
[tex]110<2x+10\text{ and } 2x+10<310[/tex]
So, let's solve both inequalities.
1)
[tex]110<2x+10[/tex]
Subtract 10 from both sides:
[tex]100<2x[/tex]
Divide both sides by 2:
[tex]50<x[/tex]
2)
[tex]2x+10<310[/tex]
Subtract 10 from both sides:
[tex]2x<300[/tex]
Divide both sides by 2:
[tex]x<150[/tex]
So, our inequality is now:
[tex]110<2x+10\text{ and } 2x+10<310[/tex]
Since we solved the equations:
[tex]50<x\text{ and } x<150[/tex]
Written as a compound inequality, this is:
[tex]50<x<150[/tex]
In other words, Ryan would like to eat more than 50 carbs per day, but no more than 150 carbs per day.
So, Ryan's total carb intake must be between 50 and 150 carbs.
Answer:
110
Step-by-step explanation:
Given the formula C = 5(f-32)/9, find the value of C if F is 68
Answer:
Step-by-step explanation:
C = 5(68 - 32)/9
= 5(36)/9
= 180/9 = 20
C = 20
If c(x)=x-2 what is the value of x if c(x)=3.5
Answer:
5.5 = x
Step-by-step explanation:
c(x)=x-2
3.5 = x-2
Add 2 to each side
3.5+2=x-2+2
5.5 = x
solve for x 3x - 2 = 4x + 1
Answer:
[tex]x = -3[/tex]
Step-by-step explanation:
[tex]3x - 2 = 4x + 1[/tex]
Now taking 3x to right hand side of the eqn . & +1 to the left side eqn. , sign of 3x changes to -3x & +1 changes to -1 .
[tex]-2-1 = 4x - 3x[/tex]
Now solving this , we get the value of x.
[tex]4x - 3x = -2 -1\\=> x = -3[/tex]
Answer:
The answer for x is x = -3
Step-by-step explanation:
hope this helps
Write the relation as a set of ordered pairs.
Answer:
D.) ordered pairs : {(1,-1),(2,0), (3,1)}
which number is a prime 49 51 53 55
53 is a prime number !!
Answer:
53
Step-by-step explanation:
Answer is 53:)
W/-4 + 17=9. Solve for w what is w
Answer:
w=-32
Step-by-step explanation:
Answer: w=32
Step-by-step explanation:
Given
w/-4 + 17=9
Subtract 17 on both sides
w/-4 + 17 - 17=9-17
w/-4=-8
Multiply -4 on both sides
w/-4 × -4=-8×-4
w=322. You Shade IN for an AND problem.
a. True
b. False
Answer:
aogswoans skskdme skdbdnshsbemdhdksjdhskd
Answer:
B. False
Hope this helps!