Answer: M = (5, 6)
Formula for midpoint:
[tex]\sf (x_m, y_m) = \left(\dfrac{x_1+x_2}{2}, \dfrac{y_1+y_2}{2}\right)[/tex]
Here given:
[tex](x_1,y_1) = (6,7), \ (x_2, y_2) = (4,5)[/tex]Find midpoint M by substituting values:
[tex]\sf M = \left(\dfrac{6+4}{2}, \dfrac{7+5}{2}\right)[/tex]
[tex]\sf M = \left(\dfrac{10}{2}, \dfrac{12}{2}\right)[/tex]
[tex]\sf M = \left(5, 6\right)[/tex]
Given:-
Two points K(6,7) and L(4,5) . These points are endpoints of a line segment .To find:-
The midpoint of the line segment.Answer:-
Here we are interested in finding the midpoint of a line segment whose endpoints are given to us . Say if a line segment has endpoints [tex](x_1,y_1) [/tex] and [tex](x_2,y_2)[/tex] , then the midpoint of the line is given by ,
[tex]\implies Midpoint= \bigg(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\bigg) \\[/tex]
And here , we have;
[tex] x_1 = 6[/tex] [tex] x_2 = 4 [/tex][tex] y_1 = 7 [/tex][tex] y_2 = 5 [/tex]So on substituting the respective values, we have;
[tex]\implies (x_m , y_m ) =\bigg(\dfrac{ 6+4}{2},\dfrac{7+5}{2}\bigg) \\[/tex]
[tex]\implies (x_m , y_m ) =\bigg( \dfrac{10}{2} , \dfrac{12}{2}\bigg) \\[/tex]
[tex]\implies\underline{\underline{ (x_m , y_m ) = (5,6)}}\\[/tex]
Hence the midpoint is (5,6) .
and we are done!
writ all the factors other than 1 and the number itself
for 5th grade
Answer:
A prime number has exactly two factors, 1 and itself. For example, 13 is a prime number because the only factors of 13 are 1 and 13
if this is what you are looking for..
Let f(x) = x²+1 and g(x)=3 x . Evaluate each expression. (g ₀ f) (1/2)
The value of the expression (g ₀ f) (1/2) is 15/4
In this question, we have been given two functions f(x) = x² + 1 and g(x) = 3x.
We need to evaluate an expression. (g ₀ f) (1/2)
We know that the composite function is a function where the output of one function becomes the input of another function.
First we find the composite function (g ₀ f) (x)
(g ₀ f) (x)
= g(f(x))
= 3(f(x))
= 3 (x² + 1 )
= 3x² + 3
So, (g ₀ f) (x) = 3x² + 3
Now, we find the value (g ₀ f) (1/2)
(g ₀ f) (1/2)
= 3(1/2)² + 3
= 3(1/4) + 3
= 3/4 + 3
= 15/4
Therefore, the value of the expression (g ₀ f) (1/2) is 15/4
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Pls pls pls help with the math quetion!
Answer:
Answer no. 4
Step-by-step explanation:
1.67 x 10^3 = 1670
16.7 x 10^3 = 16700
those number are clearly the biggest in their categories, so answers 1 and 2 are not worth further consideration. Also note that all the numbers are the same in every answer except 1.67 x 10^3 or 16.7 x 10^3, so the 16.7 might be an error. Fortunately it does not change the answer.
Let's choose between answers 3 and 4. We start with easy numbers:
4^2 = 16
50/3 = 16.6666...
So 50/3 must come after 4^2.
We're left with answer 4.
We can also convert everything to decimal:
[tex]15.75\\\sqrt{250} = 15.8113883...\\4^2 = 16\\50/3 = 16.666666....\\16.7 \cdot 10^3 = 16700\\1.67 \cdot 10^3 = 1670[/tex]
from which we can order conventionally
If X+y=x, show that (a+b)²= a²+2ab+b²
Answer:
a^2+2ab+b^2
Step-by-step explanation:
(a+b)^2
(a+b)(a+b)
a(a+b)+b(a+b)
(a^2+ab)+(ab+b^2)
a^2+2ab+b^2
Solve each equation. Check each solution. 3/x =5
The solution of the given equation 3/x = 5 is at x = 3/5.
According to the given question.
We have an equation 3/x = 5.
As we know that, an equation is a condition on a variable such that two expressions in the variable should have equal value.
Here, we have to find the solution of the equation 3/x = 5 is given by
3/x = 5
⇒ 3 = 5x (multiplying x both the sides)
⇒ 3/5 = x (dividing both the sides by 5)
⇒ x = 3/5
Hence, the solution of the given equation 3/x = 5 is at x = 3/5.
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Can yall help me on this please please Ill give brainlist and 100 points
Answer:
d) (-2)⁶/(-2)⁴
Step-by-step explanation:
Given that,
→ (-2)⁴/(-2)²
→ 16/4 = 4
Then the equivalent expression is,
→ (-2)⁶/(-2)⁴
→ 64/16 = 4
Hence, option (d) is correct.
Find the arithmetic mean a n of the given terms. a n₋₁ =100, an ₋₁ =140
The arithmetic mean a n of the given terms a n₋₁ =100, an ₋₁ =140 is
a (n) = 20.
What is arithmetic mean?a n₋₁ =100, an ₋₁ =140
a (n) = (140-100)/2
a (n) = 20
The arithmetic mean is the most straightforward and widely used method of calculating a mean or average. It only requires adding up a group of figures, then dividing the result by the entire amount of figures in the series. Consider the numbers 34, 44, 56, and 78 as an example. It totals 212.
The mean or arithmetic average are other names for the arithmetic mean. It is determined by adding up each number in a particular data set, then dividing the result by the overall number of items in the data set. For uniformly distributed integers, the middle number serves as the arithmetic mean (AM).
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Jessica wants to attach ribbon around her wardrobe.
1 3/4 m, 2/3 m
She has 4 metres of ribbon.
How much more does she need?
Give your answer as a fraction.
Based on the fact that Jessica wants to attach ribbons around her wardrobe, the amount more of ribbons that she needs is 5/6 meters of ribbons
How much ribbons does Jessica need?Find out the distance wound Jessica's wardrobe:
= 1¹/₃ + ²/₃ + 1¹/₃ + ²/₃
= 58 / 12
= 4 ⁵/₆ meters
The amount more that Jessica needs is therefore:
= 4 ⁵/₆ - 4
= 5/6 meters of ribbons
In conclusion, Jessica needs 5/6 meters of ribbons
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Write a flow proof of the Exterior Angle Theorem.
Given: ΔXYZ
Prove: m ∠ X + m ∠ Z = m ∠ 1
Triangle angle sum property states that the sum of a triangle's interior angles is 180°. parallel to the given triangle's side BC. As a result, the sum of a triangle's interior angles is 180°.
What is meant by angle sum property?
Triangle angle sum property states that the sum of a triangle's interior angles is 180°. parallel to the given triangle's side BC. As a result, the sum of a triangle's interior angles is 180°.
The Triangle Angle-Sum Theorem and the Definition of a Linear Pair serve as the foundation for this proof. Create two equations based on the diagram, one for each of these relationships. When two angles form a linear pair, we know they are supplementary and add up to 180 degrees. At this point in the proof, you can set the two equations equal to each other and simplify to obtain the proof's final conclusion.
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Ayúdame, es para mañana
Answer: 1) x=20° 2) x=50°
Step-by-step explanation:
1)
[tex]x+20+x+30=90\\2x+50=90\\2x+50-50=90-0\\2x=40\\Divide\ both\ parts\ of \ the\ equation\ by\ 2:\\x=20^0[/tex]
2)
The sum of adjacent angles is always 180 degrees.
[tex]x+80+x=180\\2x+80=180\\2x+80-80=180-80\\2x=100\\Divide\ both \ parts\ of\ the\ equation\ by\ 2:\\x=50^0[/tex]
Determine a base and a height for each shape.
Answer:
base :6 units
height:4units
area of a triangle: 1/2 ×b×h
1/2× 6×4=12
12sqaure units should be the area
Identify the pattern and find the next three terms.
0.2,1,5,25,125, .......
Answer:
625,3125,15625
Step-by-step explanation:
Because it is ×5, so 125×5=625, 625×5=3125...
What is the quotient of 57.15 and 4.5
Answer: 12
Step-by-step explanation: You're welcomed
The quotient of the decimal numbers 57.15 and 4.5 is 12.7.
The given decimal numbers are 57.15 and 4.5.
What is a quotient?In arithmetic, a quotient is a quantity produced by the division of two numbers. The quotient has widespread use throughout mathematics, and is commonly referred to as the integer part of a division, or as a fraction or a ratio.
Here, 57.15/4.5
4.5|57.15|12.7
57.15
_______
0
Therefore, the quotient of the decimal numbers 57.15 and 4.5 is 12.7.
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Need help with these two problems
Step-by-step explanation:
you don't know the Pythagoras formula yet ?
this is something you need to remember for life. this you will encounter everywhere (not just in school) :
c² = a² + b²
in a right-angled triangle c is the Hypotenuse (the side opposite of the 90° angle). a and b are the legs of the triangle.
4.
the legs of this right-angled triangle are the pole and the ground distance to the cable fixture on the ground.
the cable itself is the Hypotenuse (as the right angle is the angle between the pole and the ground distance).
so,
cable² = 8² + 6² = 64 + 36 = 100
cable = sqrt(100) = 10 m
5.
here we have a right-angled triangle with the direct distance between the points being the Hypotenuse, and the x and y coordinate differences are the legs.
so, we have
distance² = (3 - -3)² + (0 - -1)² = 6² + 1² = 36 + 1 = 37
distance = sqrt(37)
please note that since we are squaring, the direction of the differences and their signs do not matter. the square will turn positive and negative distances into positive numbers.
HELP ASAP PLEASE
13. <1 and < 2 are supplementary. If <1 = 2y = 9 and m<2 = 3y-4, what is the measure of <1?
*
m<1 = 35
m<1 = 101
m<1 = 13
m<1 = 79
Given that ∠1 and ∠2 are supplementary, the measure of ∠1 is 79 degree.
Hence, option D)79° is the correct answer.
What is the measure of ∠1?Supplementary angles refer to the pair of angles that sum up to 180 degree.
Given the data in the question;
∠1 and ∠2 are supplementary∠1 = 2y + 9∠2 = 3y - 4Measure of ∠1 = ?Since ∠1 and ∠2 supplementary angles, they will sum up to 180 degree.
∠1 + ∠2 = 180°
(2y + 9) + (3y - 4) = 180
Solve for y
2y + 9 + 3y - 4 = 180
5y + 5 = 180
5y = 180 - 5
5y = 175
y = 175/5
y = 35
Hence, the measure of ∠1 will be;
∠1 = 2y + 9
∠1 = 2(35) + 9
∠1 = 70 + 9
∠1 = 79°
Given that ∠1 and ∠2 are supplementary, the measure of ∠1 is 79 degree.
Hence, option D)79° is the correct answer.
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HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The expressions that can be used to determine the area of the rectangle are:
12 x 7
7 . 10 + 7 . 2
The expressions that can be used to determine the perimeter of the rectangle are:
2 x (12 + 7)
7 + 12 + 7 + 12
2 . 7 + 2 . 12
The expression that cannot be used to find either the area or the perimeter of a rectangle is: 7 + 12
What is the area and the perimeter of a rectangle?A rectangle is a 2-dimensional quadrilateral with four right angles that sum up to 360 degrees. A rectangle has two diagonals which bisect each other at right angles.
The area of a rectangle is the product of the width and the length.
Area of a rectangle = length x width
12 x 7 = 84 units²
7 . 10 + 7 . 2
70 + 14 = 84
The perimeter of a rectangle is the distance round the rectangle.
Perimeter of a rectangle = 2 x (length + width)
2 x (12 + 7)
2 x 19 = 38 units
7 + 12 + 7 + 12 = 38
2 . 7 + 2 . 12
14 + 24 = 38
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Rebecca used 3/15 of string on Monday and 5/15 on Tuesday. How much string does she have left?
answer choices
7/15
8/15
6/15
Answer: 7/15
Step-by-step explanation:
Two cars start at the same time from two towns 792 kilometers apart and meet in 9
hours. One car can travel 8 km faster than the other car. How far did each car Travel
before they meet?
The distance the slower and faster car travelled are 360 km and 432 km respectively.
How to find the distance travelled by each car?Two cars start at the same time from two towns 792 kilometres apart and meet in 9 hours.
One car can travel 8 km faster than the other car.
let
x = speed of the slower car
x + 8 = speed of the faster car
The cars meet in 9 hours and both cover a distance of 792 km.
Therefore,
speed = distance / time
distance = time × speed
Hence,
9x + 9(x + 8) = 792
9x + 9x + 72 = 792
18x = 792 - 72
18x = 720
divide both sides by 18
x = 720 / 18
x = 40
Therefore,
speed of the slower car = 40 km per hour
speed of the faster car = 48 km per hour
Hence,
how far the slower car go(distance) = 40 × 9 = 360 km
how far the faster car go(distance) = 48 × 9 = 432 km
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URGENT: DUE TODAY
In the picture, k || p, m 21 = 2x + 24, and mz3 = 10x. Find m<2.
Answer:
C
Step-by-step explanation:
What is the classification for this polynomial?
-6a²b5 + a²
Click on the correct answer.
monomial
binomial
trinomial
Several friends buy jeans for $20.00 a price. What type of relation exists between the amount of money spent and the number of jeans purchased
The amount of money spent and the number of jeans purchased have a direct relationship.
What do we mean by direct relationship?A direct relationship exists when both variables increase or decrease together. In a direct relationship, Y rises as X rises. A direct relationship always has a positive slope on a graph. A positive relationship is another term for a direct relationship. The relationship between the height from which a ball bounces and the height from which it bounces back is an example of a direct relationship. The higher the ball is bounced (variable x), the higher it will rebound (y).So, in the given situation where several friends buy jeans for $20.00 a price.
The amount of money spent and the number of jeans purchased have a direct relationship.Therefore, a direct relationship exists between the amount of money spent and the number of jeans purchased.
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6.8 divided by 34 HELP PLSSSSSS i also need it in step by step because i have to show my work ;) RIGHT ANSWER GETS MARKED BRAINLIST
Answer:
[tex]\mathrm {\dfrac{1}{5} \; or\; 0.2 \; in \; decimal}[/tex]
Step-by-step explanation:
We are asked to find [tex]\dfrac{6.4}{34}[/tex]
Multiply numerator and denominator by 10 to convert them to whole numbers
[tex]\dfrac{6.8}{34} = \dfrac{6.8 \times 10}{34 \times 10} = \dfrac{68}{34 \times 10}\\\\= \dfrac{68}{34} \times \dfrac{1}{10}\\\\= 2 \times \dfrac{1}{10}\\\\= \dfrac{2}{10}\\\\= \dfrac{1}{5}\\\\= 0.2[/tex]
what is the probability that the customer is either older than 50 or younger than 30 ?
Answer: 0.71
Step-by-step explanation:
Older than 50: 50-60 and >=60
50-60 : 90 customers
>=60 : 52 customers
90+52=142 customers
Younger than 30: <20 and 20-30
<20 : 67 customers
20-30: 100 customers
67+100=167 customers
142+167=309 customers are either older than 50 or younger than 30
Total customers:
67+100+55+72+90+52=
167+127+142=
294+142=434 customers
309/434=0.71
Choose the vocabulary term that correctly completes each sentence.
There is a constant ________ between consecutive terms in a geometric sequence.
There is a Constant Ratio between consecutive terms in a geometric sequence.
The consecutive terms in a Geometric Progression or Sequence are separated by a Constant Ratio which remains constant for the whole sequence and all of the terms in that sequence are separated by that Ratio. Generally, the Constant Ratio is denoted by 'r'. The next term of the sequence can be determined by using this Ratio.
To determine the next term or [tex]n^{th}[/tex] term, we need to multiply the previous term with the Ratio. There is a specific formula to determine the [tex]n^{th}[/tex] term in a geometric sequence. The formula for determining the next term or [tex]n^{th}[/tex] term is: => [tex]a_{n} = ar^{(n-1)}[/tex]
Here, [tex]n = n^{th}[/tex] term, [tex]a =[/tex] First term, and [tex]r =[/tex] Constant Ratio
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A bag contains 180 cars. Some are red and the rest are blue. There are 14
red cars for every blue car.
How many red cars are in the bag?
012
O 114
06
O 168
Answer:
114
Step-by-step explanation:
If you use the probability of statistics equation ax+bx+cx=x^3 and plugin the numbers you will get 114 as your answer.
Anyone know how to do this?
Answer:
The square root of 48 to the nearest tenth is 6.9
. If BD 1 AC, m/DBE = (2x - 1)°, and
m/CBE = (5x - 42), find the value of x.
Step-by-step explanation:
well, because the 2 lines are intersecting each other at a right angle (90°), the complete angle CBD is 90°.
that means the sum of the sub-angles must be 90° :
DBE + CBE = 90
2x - 1 + 5x - 42 = 90
7x = 133
x = 19
An unbiased statistic is one in which the average value of the statistic is ____________ the population parameter.
a. less than
b. greater than
c. either greater than or less than
d. equal to
An unbiased statistic is one in which the average value of the statistic is equal to the population parameter.
Unbiased Statistic/estimator is defined as the accurate statistic that is used in approximation a population parameter.
In the above statement the word "accurate" means that it should be neither greater than nor less than the population parameter.
If the average value is less than the population parameter or greater than the population parameter then the statistic will be termed as "biased".
Therefore , An unbiased statistic is one in which the average value of the statistic is equal to the population parameter.
The correct option is (d) equal to.
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find the area of the shaded section ABC
Answer:
The shaded area is 66.40 cm²============================
The shaded section is the difference of sector OAB and triangle OAC.
Area of sectorFind the measure of angle Ocos ∠O = OC/OAcos ∠O = 5/13m∠O = arccos (5/12)m∠O = 65.4° (rounded)Find the area of sector OABA = πr²θ/360A = 3.14*13²*65.4/360A = 96.40 cm²Area of triangleFind the height of triangleUse Pythagorean
OA² = OC² + AC²13² = 5² + AC²AC² = 169 - 25AC² = 144AC = √144AC = 12Find area of triangleA = bh/2A = 5*12/2A = 30 cm²Shaded areaFind shaded areaA = 96.40 - 30A = 66.40 cm²How am I supposed to do this? I know that the x = 11, but I have no clue on what to do from there
Find m∠CED.
Answer: 140°
Step-by-step explanation:
x = 11
5 x 11 = 55
55 - 15 = 40
The 5x-15 = 40°
tHe 3x+7 is opposite, so it also equals 40°
40 + 40 = 80°
360° - 80° = 280
280 divided by 2 = 140°
