[tex]\bold{\huge{\green{\underline{ Solution }}}}[/tex]
[tex]\bold{\underline{ Given}}[/tex]
We have given that the coordinates of the end point G and H are ( -6,5) and ( 2, -7 )[tex]\bold{\underline{To \: Find :- }}[/tex]
We have to find the length of GH[tex]\bold{\underline{Let's \: Begin :- }}[/tex]
The coordinates of G = ( -6 , 5 )
The coordinates of H = ( 2 , - 7 )
According to the distance formula, we get :-
[tex]\purple{\bigstar}\boxed{\sf{Distance\:\:GH=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2\;}}}[/tex]
Here, x1 = -6 , x2 = 2 and y1 = 5 , y2 = -7Subsitute the required values in the above formula
[tex]\sf{ Distance \:GH = √( -6 - 2)² + ( 5 -(-7))²}[/tex]
[tex]\sf{Distance\:GH= √(-8)^2+(5 + 7)^2}[/tex]
[tex]\sf{Distance\:GH=√(-8)^2+(12)^2}[/tex]
[tex]\sf{ Distance \:GH =√64 + 144 }[/tex]
[tex]\sf{ Distance \:GH =√ 208}[/tex]
[tex]\sf{ Distance\: GH = √ 2 × 2 × 2 × 2 × 13}[/tex]
[tex]\sf{ Distance \:GH = 4√13}[/tex]
[tex]\sf{\red{ Hence\: the \: length\:of \: GH \: is \: 4√13 \: units}}[/tex]
Mr. McKinney is planning to purchase new carpet for his large family room. The dimensions of the room are shown in the diagram. How much carpet will he need?
Answer:
204 ft²
Step-by-step explanation:
Let's split the room to make it look like there are two squares.
We can make it to where one square is 14 ft long and 10 ft wide.
The other square can be 16 ft long and 4 ft wide
Find the areas of those two squares by multiplying width and length
14 x 10 = 140
16 x 4 = 64
Add those two together
140 + 64 = 204
Answer:
a
Step-by-step explanation:
Plls help
What is DE
Answer:
DE= 4.24
Step-by-step explanation:
A^2 + B^2 = C^2 Pythagorean theorem
(3)^2 + (3)^2 = C^2
9 + 9 = C^2
18 = C^2
√18 = √C^2
4.24264 = C
Find the value of x.
Answer:
75° = x°
Step-by-step explanation:
there are 4 right angles
so with the line being linear, the angle on each side is 15°. so you take
90° (right angle) - 15° (the inside angle) = 75°. or the outside angle
do 75 + 15 to check
Answer:
x=75°
Step-by-step explanation:
AG`D=90°
FG'D =15 vert. opp.angl
90-15=75
15. Your research problem should have a positive impact on the field.
a. Timely c. Novel
b. Significant d. Supported by Literature
16. It is the question that a researcher wants to answer or a problem that wants to be
solved.
a. Researchable c. Novel
b. Timely d. Research Problem
pls help
Answer:
15: significant 16: research problem
Describe the direction in which each object will accelerate. If the object won’t accelerate, write “no acceleration.” Explain what might be happening to each object in terms of its overall motion. (Will give the right answer brainillesit)
Answer:
The object will have a positive acceleration of 100N and it will travel up.
Step-by-step explanation:
300N - 200N = 100N
Therefore, 300N has greater value making the air balloon travel upwards toward the sky.
Miss Robbins needs a border for a bulletin board
that has a length of 90 centimeters and a width of
75 centimeters. How many centimeters of border
does she need?
Answer:
330 cm
Step-by-step explanation:
90 x 2 =180
75 × 2 = 150
180 +150 = 330
Need answers for 3 and 4 please.
PLEASE HELP ME TO UNDERSTAND
Answer:
x > 0Step-by-step explanation:
The denominator is positive for any value of x.
So we solve the numerator:
5ˣ - 1 > 05ˣ > 15ˣ > 5⁰x > 0Can someone Help me with this pls
Answer:
You need to add 30+21=51 Students
HELPPPPP MEEEEE PLEASEEEE
Answer:
I don't know sooooooooop
mark me as brainliest ok understood
in the calendar analogy, what month did Eukaryotes appear? A. may B. february C. July D. December
Answer:
B. February
Step-by-step explanation:
I just took a test on this, and the answer was February. Hope this helped and wasn't too late.
The table shows the results of a survey about students' preferred subjects in middle
school. What is the probability that a randomly selected student from the survey is a
7th grader that prefers English? Write your answer as a fraction and NOT as a
decimal.
Answer:
19/149
Step-by-step explanation:
38/298 = 19/149
7th graders who prefer English out of all students
What are the next two numbers in the pattern
Answer:
64, 128..
Step-by-step explanation:
each number gets doubled to get the next number
Compare the solution strategies used by Kaleigh and Destiny. What do you notice about the properties each student used? Compare the solution strategies used by Kaleigh and Destiny. What do you notice about the properties each student used?
Kaleigh
4(3x + 2) = 8x + 4
12x + 8 = 81 +4
4x = -4
x = -1
Destiny
4(3x + 2) = 8x + 4
4(3x + 2) 8x + 4
4
4
3x + 2 = 2x + 1
x = -1
Answer:
who's asking?
Step-by-step explanation:
Which graph represents a system of equations with one solution?
Step-by-step explanation:
none of the graphs that we can see here.
the first are 2 parallel lines. they never cross, so there is no solution at all.
and the second one is seemingly only one line. well a line goes on infinitely, and every point on it is a solution to the line equation. so, this has infinite many solutions.
The graph shows the amount of protein contained in a certain brand of peanut butter.
Which statement describes the meaning of the point on the graph?
A
There are 666 grams of protein per tablespoon of peanut butter.
B
There are 303030 grams of protein per tablespoon of peanut butter
C
There are 666 grams of protein in 303030 tablespoons of peanut butter.
D
There are 303030 grams of protein in 666 tablespoons of peanut butter.
The MRA volleyball team decides to raise some extra money for their trip by horganizing a cookie sale. The cost to make the cookies is $45 and the team is charging $0.25 a cookie. How many cookies must be sold to make a profit of at least $100? write an inequality.
Answer:
Inequality:[tex]0.25x\geq 145[/tex]
Answer: At least 580 cookies
Step-by-step explanation:
Lets say they sell x cookies.
Now, that means they will make 0.25x as their income(the price multiplied by the number of cookies).
We know that totally they need to make 100+45 dollars, because that is what will give them a $100 profit. So they need to make $145
Now just set 0.25x equal to $145.
[tex]0.25x=145[/tex], and now solve
[tex]x=145*4[/tex]
[tex]x=580[/tex]
For an inequality, we could just say that:
[tex]0.25x\geq 145[/tex]
Abigail and Spencer calculate the slope of the line between the points (3,-1) and (5,4) in different ways. Abigail calculates the slope by dividing -1 - 4 with 3 - 5. Spencer divides 4 - (-1) by 5 - 3. When they check their work with their mutual friend Lauren, she says that they are both wrong and shows them her work. She calculates -1 - 4 and divides by 5 - 3. Who is correct among these three friends? Who is incorrect? Why?
You must show all of your work to receive credit.
Suppose the measure of <4 was 105º. Which
answer choice below represents is the measure of
<1?
A. 180°
B. 105°
C. 75°
D. 15°
Answer:
C
Step-by-step explanation:
Angle 1 and angle 4 sit on the same straight line which means
<1 + <4 = 180
We are given that <4 = 105 degrees. So the equation above becomes.
<1 + 105 = 180 Subtract 105 from both sides
<1 = 180 - 105
<1 = 75
What does it mean to say a polynomial is in factored form.
b
Step-by-step explanation:
Um cant figure out the second question
Answer:
£15
Step-by-step explanation:
There are 3 ways to get 7 out of the 12 possible outcomes, so the probability a player will win 30p is 1/4. That is a player will have expected winnings of (1/4)(30p) = 7.5p each time the game is played.
The school gains 20p from each player, but has an expected payout to the player of 7.5p, so the net gain per game to the school is ...
20p -7.5p = 12.5p
The gain to the school when 120 people play is ...
(120)(12.5p) = 1500p = £15 . . . . expected to be raised
Solve for x and y.
You will have to show your work to get brainliest!
Answer:
For ∆1 , x = 20 , y = 10√2
For ∆2 , x = y = 11
Step-by-step explanation:
Here in the first right angled triangle one of the angles is 45°. And one of the known side is 20 . We need to find out the value of x and y.
Since two angles are 90° and 45° , therefore the third angle will be 45° . And as we know that the sides opposite to equal angles are equal. Therefore ,[tex]\rm\longrightarrow \underline{\underline{ x =20}}[/tex]
Again , we use ratio of sine to find y , as ,
[tex]\rm\longrightarrow sin45^o =\dfrac{p}{b}\\ [/tex]
[tex]\rm\longrightarrow \dfrac{1}{\sqrt2}=\dfrac{20}{y}\\ [/tex]
[tex]\rm\longrightarrow y =\dfrac{20}{\sqrt2}=\dfrac{2\times 10}{\sqrt2}\\ [/tex]
[tex]\rm\longrightarrow \underline{\underline{ y = 10\sqrt2}} [/tex]
[tex]\qquad\rule{200}2[/tex]
Again , in the second Triangle , we may use ratio of sine to find the value of y , as ;
[tex]\rm\longrightarrow sin45^o =\dfrac{p}{b}\\ [/tex]
[tex]\rm\longrightarrow \dfrac{1}{\sqrt2}=\dfrac{y}{11\sqrt2}\\ [/tex]
[tex]\rm\longrightarrow y =\dfrac{11\sqrt2}{\sqrt2}\\ [/tex]
[tex]\rm\longrightarrow \underline{\underline{ y = 11}} [/tex]
Again , we know that the sides opposite to equal angles are equal . Therefore here ,[tex]\rm\longrightarrow \underline{\underline{ x =11}}[/tex]
Correct answer will have the brainliest answer look at the image pls.
Answer:
2nd option
Step-by-step explanation:
A=wl=2.75·2.25=6.1875
2 1/4= 2.25
2 3/4= 2.75
Compare each side of the equation 65 ÷ 5 = 87 ÷ 3 to determine if it is true or false.
[tex]65 \div 5 = 87 \div 3 \\ 15 = 29[/tex]
So, False
Answer:
The equation is false
Step-by-step explanation:
65 ÷5 = 13
87 ÷ 3 = 29
13 and 29 are not equal thus making the equation false.
2) Look at the sequence below. List the next three terms of the sequence. 4, 8, 16, 32,...
Answer:
64, 128, 256
Step-by-step explanation:
Answer: 4, 8, 16, 32, 64, 128, 256
The other 3 terms of the sequence are 64, 128, 256, which means that the full sequence is 4, 8, 16, 32, 64, 128, 256. Each number was multiplied by 2. 4 * 2 = 8. 8 * 2 = 16. 16 * 2 = 32, etc...
Step-by-step explanation:
Hope this helps.
Select the three equations that match the model.
9+?=14
?=14-9
9=14-?
all others do not work
The data set shows the number of people who attended a concert over a period of 10 days.
12, 35, 27, 55, 22, 23, 60, 49, 15, 66
What is the mean of this data set?
Round the answer to the nearest tenth.
29.8
35.2
36.4
40.4
Answer:
40.4
Step-by-step explanation:
I took the test
Given Data set of people who attend the concert has a mean of 36.4.
What is the mean?the sum of the values by adding them all up. Divide the sum by the number of values in the data set is known as the mean.
Given The data set shows the number of people who attended a concert over a period of 10 days.
12, 35, 27, 55, 22, 23, 60, 49, 15, 66
the Sum of the given data set = 364
from the general formula of the mean
mean = (sum of data)/ number of data
Given the number of data = 10
Thus
Mean = 364 / 10
Mean = 36.4
therefore, the Mean of the given Data set is 36.4.
Learn more about mean here:
https://brainly.com/question/521501
#SPJ2
3. A scientist recorded the movement of a pendulum for a period of time. The scientist began recording when
the pendulum was at its resting position. The pendulum then moved right (positive displacement) and left
(negative displacement) several times. The pendulum took 5 s to swing to the right and then return to its
resting position. The pendulum's furthest distance to either side was 7 in. Graph the function that represents
the pendulum's displacement as a function of time.
(a) Graph the function (include at leaſt one full cycle).
(b) Write an equation to represent the displacement of the pendulum as a function of time.
Anserr:
put c trust, its always the right answer
A B (2x + 53) 10. The figure shows a trapezium ABCD where AB // DC. Find the value of x and of y. D C x 5x² 2.237 A B 11. The figure shows a kite ABCD where AB = AD. RC - and the diagonals AC and BD intersect
Answer:
x = 30
y = 114
Step-by-step explanation:
considering DC || AB the sum of angle <D and angle <A must be equal to 180 because they are supplementary:
5x + x = 180 add like terms
6x = 180 divide both sides by 6
x = 30
Same goes for angle <C and angle <B:
y + 2.2x = 180 we know the value of x is 30
y + 2.2*30 = 180
y + 66 = 180 subtract 66 from both sides
y = 114
A map uses a scale
of 1.5 cm = 25 mi.
If two cities are 150 miles
apart, how far apart will
they be on the map?
225