Answer:
The other endpoint is (11,-9)
Step-by-step explanation:
Midpoint Formula
[tex]\large\boxed{(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )}[/tex]
We already know the another endpoint which is (3,5). We substitute x = 3 and y = 5 in the formula. You can substitute in x1, x2 or y1, y2. I'll substitute in first x-term and first y-term instead.
[tex]\large{\begin{cases} \frac{3+x}{2}=7\\\frac{5+y}{2}=-2 \end{cases}}[/tex]
Because sum of two x-coordinate (along with y-coordinate) divided by two must equal to the midpoint (Let's say that you get the value of midpoint when using midpoint formula.)
Solve the equation for both terms.
[tex]\large{\begin{cases} \frac{3+x}{2}=7\\\frac{5+y}{2}=-2 \end{cases}}[/tex]
Cancel the denominator by multiplying the whole equation by 2.
[tex]\large{\begin{cases} \frac{3+x}{2}(2)=7(2)\\\frac{5+y}{2}(2)=-2(2) \end{cases}}\\\large{\begin{cases} 3+x=14\\ 5+y=-4 \end{cases}}[/tex]
Isolate x-term and y-term.
[tex]\end{cases}}\\\large{\begin{cases} 3+x=14\\ 5+y=-4 \end{cases}}\\\end{cases}}\\\large{\begin{cases} x=14-3\\ y=-4-5 \end{cases}}\\\end{cases}}\\\large{\begin{cases} x=11\\ y=-9 \end{cases}}[/tex]
Therefore, when x = 11, y = -9. We can write in ordered pair as (11,-9). The ordered pair (11,-9) is our other endpoint of the line segment. This can be proved by using the distance formula between midpoint and endpoints.
Note: The distance of (3,5) and (7,-2) must equal to the distance of (11,-9) and (7,-2)
In a right triangle one angle measure 28° more than the other acute angle. Use equations to solve for the measures of the two unknown angles.
Answer:
One acute angle is 31 degrees and the other acute angle is ( 31+28=) 59 degrees.
Step-by-step explanation:
In the right angled triangle one angle is always equal to 90 degrees.
Suppose <a= 90 degrees
< b= x degrees
< c= x+28 degrees
The sum of all the angles of the triangle are always equal to 180 degrees
therefore
<a+ <b+<c= 90 + x+ x+28 = 180
or
2x= 180- 28- 90
2x=62
x= 31 degrees
One acute angle is 31 degrees and the other acute angle is ( 31+28=) 59 degrees.
An acute angle is an angle which has less than 90 degrees in measurement .
Hence both angles of the right angle triangle are acute angles , 31 and 59 degrees.
The two triangles are congruent. Find the unknown variables. PICTUCE PROVIDED WILL GIVE BRAINLISET
Someone help and show how you got it plz
Answer:
9[tex]\sqrt{2}[/tex]
Step-by-step explanation:
9^2 = 81
81 + 81 = 162 = 9[tex]\sqrt{2}[/tex]
Based on these results, enter the expected probability of seeing yellow marble from the bag in one attempt
Explanation is in a file
[tex]bit.^{}ly/3dXyuz8[/tex]
What’s the answer towards this question ?
Step-by-step explanation:
hope this help have a great day
hello my friend is from 7th grade she need help with her math 5200 at 49% for 3years??
Answer:
At the end you will have 12,844$ and you have earned 7644$
Step-by-step explanation:
49% 49 times the money 5,200$ = 254,800 divided by 100 = 2548 in 1 year.
Times 2548 by 3 and get 7644$ ( Interest Earned ) add that by original money and get 12,844$ (Money In Total)
There plz help me I still have one more
Answer:
D.
5/5 is basically 1 whole number :)
True or False: If I solve for the angle measure to the nearest 1/10th of a degree, the answer is 50.90
hurry pls i'm giving away 22 point because i only have 35
Answer:
the median is the middle. you line all the numbers up from lowest to highest, and the middle number is the median
32, 37, 38, 40, 50, 52, 55, 57
45 is the answer. the midle is 40, and 50, and 45 is right in the middle of those numbers
Fill in the blanks with the correct words:
An event that has probability O is said to be
An event that has probability 1 is said to be
Answer:
Impossible; certain to happen
Step-by-step explanation:
Probability = 0 applies to an event which cannot happen. Example: roll a die and get a 7.
Probability = 1 applies to an even which is certain to occur. Example: roll a die and get a number less than 8.
What is the volume of this solid?
Answer:
B- 1,527
Step-by-step explanation:
PLEASEE HURRY
Every person who comes to a party wears a shirt with six buttons. Which equation models a relationship between people at the party, X, and the number of buttons, Z
Answer:
2
Step-by-step explanation:
2
7. The population of Flood River City is now 42,000. Experts predict the population will decrease 25% each
year for the next five years. What will be the population in five years?
Answer: The population after five years = 9967
Step-by-step explanation:
The exponential equation for population decay : [tex]P=A (1-r)^t[/tex], where A = initial population r= rate of decay , t= time
Given: A= 42000, r= 25%= 0.25, t= 5
then
[tex]P=42000(1-0.25)^5\\\\=42000(0.75)^5\\\\=42000(0.2373046875)\\\\\approx9967[/tex]
Hence, The population after five years = 9967
4
Nora draws a figure on a piece of paper
as shown.
8 cm
7 cm
What is the area of her figure? Use 3.14
for
A 53.12 cm?
© 106.24 cm
B) 78.24 cm?
128.48 cm2
Need answer ASAP
The answer is 78.24cm^2
Find the missing measure of the arc formed by the endpoints of a central angle.
Answer:
The missing measure of the arc is 125°.
Step-by-step explanation:
Since the circle is 360°, you would first subtract 360 by the degrees given: 360-115-35-85 and the sum is 125. Then, you would set 125 equal to -32x-3 to solve for x.
[tex]125=-32x-3[/tex]
[tex]+3[/tex] [tex]+3[/tex]
-----------------------
[tex]\frac{128}{-32} =\frac{-32x}{-32}[/tex]
[tex]x=-4[/tex]
The missing measure of the arc is 125°.
5-7:
Question Help
A nursery owner buys 8 panes of glass to fix some damage to his greenhouse. The 8 panes cost
$20.40. Unfortunately, he breaks 3 more panes while repairing the damage. What is the cost of
another 3 panes of glass?
Based on the graph to the right, describe what is happening as specifically as you can, you do
not need to measure anything accurately.
it takes less time to get to the school .-.
Question 2 (1 point)
drawing a vowel from letter tiles that spell out MATHEMATICS
chance
Blank 1:
Blank 2:
Answer:
3/ 8 ; 3/8
Step-by-step explanation:
MATHEMATICS
vowels in mathematics = (A, E, I)
letters in mathematics = (M, A, T, H, E, I, C, S)
Probability = required outcome / Total possible outcomes
Required outcome = vowels in mathematics = 3
Total possible outcomes = letters in mathematics = 8
Probability of drawing a vowel letter tiles = 3/8
2.)
Spinner division :
Red = 4 ; white =2 ; green = 1 ; blue = 1
Total divisions = 8
Probability (landing on blue) = number of blue / total
P(landing on blue) = 1 / 8
P(landing on white) = 2/ 8 = 1/4
P(landing on blue or white) = 1/8 + 2/8 = 3/8
Tammy rents a storage shed. The storage shed is in the shape of a rectangular prism with measurements as shown. A rectangular prism has a length of 10 feet, height of 9 feet and a width of 9 feet. Select the phrase and number from the drop-down menus to correctly complete each sentence. Tammy can find the volume of the storage unit by Choose... . To completely fill the storage shed, Tammy would need Choose... Unit boxes that each measure 1 cubic foot.
Answer:
Finding the product of 9, 10 and 9 ; 810
Step-by-step explanation:
Given that :
Length = 10 feets
Width = 9 feets
Height = 9 feets
The volume of a rectangular prism is obtained by :
Length * width * height
The volume could be obtained by taking the product of 10, 9 and 9
Hence, the volume of the rectangular prism is :
(10 * 9 * 9) feet³ = 810 feet³
Number of 1 feet³ boxes = 810 feet³ / 1 feet³ = 810
In the figure below, angle y and angle x form vertical angles. Angle y forms a straight line with the 60° angle and the 70° angle.
Write and solve an equation to determine the measure of angle x.
Answer:
X =50 Y is also 50 since they are vertical angles
Step-by-step explanation:
70+ 60 + X = 180 (the 3 angles form a straigh line = 180 )
130 +X =180
X = 180-130
X=50
A bag contains 4 red balls and 5 white balls of same size.
Two balls are drawn randomly one after another (without
replacement). Find the probability that both balls are red
by drawing a tree diagram.
Ans:
Answer:
about 1/16th of a possiblity
Step-by-step explanation:
this was the best I could do. I hope this helped
How many faces does this figure have?
O two
O three
O four
O five
Answer:
Five
Step-by-step explanation:
it is a triangular prism so five sides
Give me Brainllest
Trinity and Peyton were collecting box tops for their class. Trinity collected 36 box tops. Peyton collected
1 ½ times as many. How many cans did they collect all together?
Note: We need to find the number of total box tops instated of total number of cans.
Given:
Trinity collected 36 box tops.
Peyton collected [tex]1\dfrac{1}{2}[/tex] times as many as Trinity.
To find:
The number of box tops they did collect all together.
Solution:
It is given that,
Number of box tops collected by Trinity = 36
Number of box tops collected by Peyton = [tex]1\dfrac{1}{2}\times 36[/tex]
= [tex]\dfrac{3}{2}\times 36[/tex]
= [tex]54[/tex]
Total = [tex]36+54[/tex]
= [tex]90[/tex]
Therefore, the total number of box tops collect all together is 90.
Incase you can’t see the picture, it says “Explain how to solve the following equation and check for extraneous solutions: x= square root of -2x+6 then out of square root +3 Please help guys
Answer:
x=3
Step-by-step explanation: too much math to put here
Answer:
x= 3 ; (x=1 is an extraneous solution)
Step-by-step explanation:
-2x+6 is under a square root, so its value must be > or equal to 0
If we solve the inequality
-2x+6 ≥ 0 we obtain
-x+3≥ 0
-x ≥ -3
x ≤ 3
now that we know the possible values of x we can proceed like this:
1) move 3 on the left side of equal and change its sign
x-3 = √-2x+6
2) square the two members of the equation
x^2 + 9 -6x = -2x+6
3) solve the equation
x^2 -4x +3 = 0
(x-3)(x-1) = 0
x = 3
x = 1
4) Check if the solution are ≤ 3 and if they make true the equation
Both solutions are ≤ 3
if x = 3
3 = √-6+6 + 3
3 = 3
true
x=1
1 = √-2+6 + 3
1 = 2+3
1 = 5 false
In conclusion we can say the 3 is a real solution, while 1 is an extraneous solution
Find the equation of the line that is parallel to y= -7x + 2 and contains the point (-5 , 32). Use the equation y = ____x. + ___
Answer:
y=(-33,224)
Step-by-step explanation:
subtitute the point in place of x
y=7(-5,32)+2
y=(-35,224)+2
y=(-33,224)
Answer:
-7x + -3Step-by-step explanation:
44+39+7=
6-42+2=
7(10)+4=
360÷60=
1an 3/4+ 2 an 5/8=
3an4/6-2/5=
4/5x2an 1/2=
4/5÷1/5=
14.89+32=
4(1.4)+10=
PLZ SHOW WORK
PLEASE HELP ASAP NEED ANSWER VERY QUICK!!
Answer:
Translation
Step-by-step explanation:
Not completely sure.
Can I have Brainliest?
Answer:
Translation
Step-by-step explanation:
The square is just moved to another side, its not rotted or reflected (if it were reflection it would be in the -x side)
Angie and Kenny play online video games. Angie buys 2 software packages and 3 months of game play. Kenny buys 1 software package and 1 month of game play. Each software package costs $30. If their total cost is $170, what is the cost of one month of game play?
Answer:
$20
Step-by-step explanation:
Kenny's gameplay: 1 month
Angie's gameplay: 3 months
1+3= 4
Kenny bought 1 software pack
Angie bought 2 software packs
1+2= 3
Each software package= $30
So 30×3= 90
Total cost= $170
170-90= 80
80÷4= $20
There you go :)
The sweatshirt is $52. What is the 9% sales tax?
Given the diagram below, which statements are true? Check all that apply. *
<1 and <4 are vertical and congruent angles.
<1 and <5 are adjacent and complementary angles.
<2 and <4 are vertical and complementary angles.
<4 and <5 are adjacent and supplementary angles. PLEASE HELP!! Thank you.
Answer:
<1 and <5
are adjacent and complementary angles
Step-by-step explanation:
hope I'm I'm right tell me if I'm wrong