Given:
One endpoint of a line segment = (-7,-9)
Midpoint of the segment = (-2,-16)
To find:
The other endpoint of the given line segment.
Solution:
Let (a,b) be the other endpoint of the given line segment.
Midpoint formula:
[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
Using this formula, we get
[tex](-2,-16)=\left(\dfrac{-7+a}{2},\dfrac{-9+b}{2}\right)[/tex]
On comparing both sides, we get
[tex]\dfrac{-7+a}{2}=-2[/tex]
[tex]-7+a=-4[/tex]
[tex]a=-4+7[/tex]
[tex]a=3[/tex]
And,
[tex]\dfrac{-9+b}{2}=-16[/tex]
[tex]-9+b=-32[/tex]
[tex]b=-32+9[/tex]
[tex]b=-23[/tex]
Therefore, the coordinates of other endpoint are (3,-23).
What is the solution to the system of equations below?
y=-3x+6 and x = -6
O (-6,8)
O (6,4)
O (8,6)
O (4, 6)
Answer:
The solution to the system of equations will be: (-6, 24)
Step-by-step explanation:
Given the system of equations
y = -3x+6
x = -6
substituting x = -6 in the equation y = -3x+6
y = -3x+6
y = -3(-6) + 6
y = 18+6
y = 24
Therefore, the solution to the system of equations will be: (-6, 24)
Note: it seems you have not mentioned the correct option in the answer choice as the correct choice is (-6, 24).
M
IF THE VOLUME OF THE BOX BELOW IS
x3 + 6x2 + 9x + 4
AND THE WIDTH OF THE BOX IS x + 4,
THEN FIND THE LENGTH AND HEIGHT OF
THE BOX
Answer:
The length of the box is (x + 1)
The height of the box is (x + 1)
Step-by-step explanation:
The given function representing the volume of the box is presented as follows;
V = x³ + 6·x² + 9·x + 4
The function representing the width of the box, W = x + 4
Therefore, we have;
(x³ + 6·x² + 9·x + 4)/(x + 4) = x² + 2·x + 1
x³ + 4·x²
[tex]{}[/tex] 2·x² + 9·x + 4
[tex]{}[/tex] 2·x² + 8·x
[tex]{}[/tex] x + 4
Therefore, we have;
(x³ + 6·x² + 9·x + 4) = (x + 4) × (x² + 2·x + 1) = (x + 4) × (x + 1) × (x + 1)
(x³ + 6·x² + 9·x + 4) = (x + 4) × (x + 1) × (x + 1)
The width of the box = (x + 4)
The length of the box = (x + 1)
The height of the box = (x + 1).
if angle 8 = 130 degrees what is the measure of angle 4
Answer:
50
Step-by-step explanation:
180-130=50
Answer:
105
Step-by-step explanation:
Complete the statement using < or > -1 ? 4
Answer: -1>4
Step-by-step explanation:
What is an Integer
Answer:
A integer is number that can be written without a fractional or decimal component
Step-by-step explanation:
Answer:
An integer is a whole number. It doesn't matter whether it's positive or negative as long as its a whole number
(sorry if this doesn't make sense but I hope it helped)
6.5/v = 3/11.7
I need help help finding v
Answer: =25.35
im sure its right
A milk tank at a dairy farm has the form of a rectangular prism. The tank is 3.5 feet wide. The width of the tank is 5/7 of its length, and the height is 4/5 of its width. How many cubic feet of milk can the tank hold? How many pounds of milk can it hold if 1 cubic foot of milk weighs 66.5 lbs?
Answer:
48.02 or 48 1/50 cubic feet and 3193.33 or 3193 33/100 LB ( I do rsm too )
Step-by-step explanation:
The width is 3.5
The length is 3.5*7/5 which is 4.9
The height is 4/5 of 3.5 which is 2.8
So, the volume in cubic feet is 3.5*4.9*2.8 which is 48.02 or 48 1/50
So, the amount in Lb is 66.5*48.02 which is 3193.33 or 3193 33/100
A tank can hold [tex]\boldsymbol{24.5}[/tex] cubic feet of milk and a tank can hold [tex]\boldsymbol{1629.25}[/tex] pounds.
Rectangular prismA rectangular prism is a three-dimensional solid object that has six rectangle-shaped faces.
Length of a rectangular prism [tex](l)=3.5[/tex] feet
Width of a rectangular prism [tex](w)=\frac{5}{7}(3.5)[/tex]
[tex]=2.5[/tex] feet
Height of a rectangular prism [tex](h)=\frac{4}{5}(3.5)[/tex]
[tex]=2.8[/tex] feet
Volume of a milk tank [tex]=lwh[/tex]
[tex]=3.5(2.5)(2.8)[/tex]
[tex]=\boldsymbol{24.5}[/tex] cubic feet
[tex]=24.5(66.5)[/tex] pounds
[tex]=\boldsymbol{1629.25}[/tex] pounds
So, a tank can hold [tex]\boldsymbol{24.5}[/tex] cubic feet of milk and a tank can hold [tex]\boldsymbol{1629.25}[/tex] pounds.
Find out more information about rectangular prism here:
https://brainly.com/question/21308574?referrer=searchResults
what is the value of 5/6 ÷ 3/4?
Answer:
1 1/9
Step-by-step explanation:
5/6 ÷ 3/4 = ?
5/6 x 4/3
5 x 4
------- = 20/18 = 1 2/18 = 1 1/9
6 x 3
When Mariana does 19 push-ups and 6 sit-ups, it takes a total of 75 seconds. In comparison,
she needs 72 seconds to do 18 push-ups and 6 sit-ups. How long does it take Mariana to do
each kind of exercise?
HELP
Answer: It takes 3 seconds to do one of both i think
Step-by-step explanation:
19 and 6 was 75 and 18 and 6 was 72 which means 1 push up is 3 seconds multiply 3 by 18 that is 54 then subtract 72 by 54 which gives you 18 then divide 18 by 6 which is 3
If a square has a perimeter of 36 in. what is the Circumstances of the circle?given the exact answer in terms of pi.
Answer:
a)B)9π
b)G)16π in²
Step-by-step explanation:
according to the question
[tex]64 \times \frac{\pi}{4} [/tex]
[tex]16\pi \: {in}^{2} [/tex]
as we know
C/d=π
C=dπ
Therefore
C=9π
pls help i dunno how to do this lol
Answer:
The height of the triangle is: h = 6.4 cm
Step-by-step explanation:
Given
Area of the triangle A = 40 cm²
The Base of the triangle b = 12.5 cm
To determine
height of triangle h = ?
We know that the area A of a triangle is:
A = 1/2 bh
where
b is the baseh is the height of the triangle.so
A = 1/2 bh
substituting A = 40 and b = 12.5
40 = 1/2 (12.5) h
40 × 2 = 12.5 h
12.5 h = 80
divide both sides by 12.5
12.5h/12.5 = 80/12.5
h = 6.4 cm
Thus, the height of the triangle is: h = 6.4 cm
I NEED HELP ASAP!!!!! PLEASE
Answer:
I think b, but I may be wrong
Answer:
I think c
Step-by-step explanation:
They are increasing more and more each time by 10%
Please help please please help me please
Answer:
12.68
Step-by-step explanation:
With reference angle 45°
perpendicular (p) = 9
hypotenuse (h) = c
Now
sin 45 ° = p/ h
0.71 = 9 / c
c = 9 / 0.71
c = 12.68
Hope it will help :)
please help me please will give brainliest to anyone who is good
show your work
Answer:
B - 1/9
Step-by-step explanation:
I don't really know how to explain how I got it because I'm only in middle school in pre-algebra, but I did teach this to myself online haha, so here we go. Daneille rolled the dice 90 times, it only landed on 6 10 times. That is 10/90 which, simplified, is 1/9.
Is x = 6 a solution to the equation 5(x – 3) = x + 13?
Follow the steps to find out.
1. Rewrite the equation 5(x – 3) = x + 13 with 6 substituted for x. Write a question mark over the equal sign to show that you're testing to see if the equation is true.
Write your answer in the space below.
Giving brainliest and thanks
Answer:
No, X=7
Step-by-step explanation:
Answer:
Yes, both equations will always work, but yes, at times it is more logical to use one over the other. for instance:
x-4y=6
x+4y=12
we see here that elimination would best fit:
x+x+4y-4y=6+12
or:
x=2y-3
7x+3y-81=23
substitute (2y-3) for x.
Also, once you have a single placeholder, put it ito quadratic form (ax^2+bx+c=0)
and use the quadratic formula:
x=(-b±sqrt(b^2-4ac))/2a
y is greater than or equal to 3 and less than 7
Select the inequality that represents this.
A B C D
Someone please help!!
Answer:
X^158
Step-by-step explanation:
X^60xX^-18x( )=X^200
X^42x( )=X^200
x^158
8.3+7.2b-3.6b =???
If anyone can just find the answer to this real quick
Answer:
if you are simplify its 3.6b+8.3
Step-by-step explanation:
8.3+(7.2b-3.6b) : Group like terms together
8.3+3.6b : Combine each group
3.6b+8.3 : Rearrange the expression
Determine the smallest integer value of x in the solution of the following inequality.
-2x +1 < -9
Answer:
4
Step-by-step explanation:
-2 x 4 is -8 plus one is -7.
Answer:
uhm x > 5. I hope that helps pls lmk
Find the unknown sides and angles of this triangle using the Law of Cosines. Round to the nearest hundredth.
Step-by-step explanation:
as we know
law of cosine
[tex]c = \sqrt{ {a}^{2} + {b}^{2} - 2ab. \cos(c) } [/tex]
[tex]c = \sqrt{ {14}^{2} + {18}^{2} - 2.14.18 - \cos( {35}^{o} ) } [/tex]
[tex]c = 10.35[/tex]
using the law of cosine
[tex]cos(a) = \frac{ {b}^{2} + {c}^{2} - {a}^{2} }{2bc} [/tex]
[tex] \cos(a) = \frac{ {18}^{2} + {10.35 }^{2} - {14}^{2} }{2.18.(10.35)} [/tex]
[tex]a = {50.87}^{o} [/tex]
b=87.13°
What is the solution set for the inequality.
x ≤ 6
A
{6, 7, 8, 10}
B
{1, 3, 4, 5}
C
{-1, 0 , 2, 4, 6}
D
{0, 3, 5, 6, 8}
Answer:
b
Step-by-step explanation:
PLEASE HELP!!!! If f(x) = x^2 + x, find f(-3). The answers given are A) -12 B) 3 C) 6
Answer: 6
Step-by-step explanation:
F(-3), you will find out by replacing the x with -3
f(-3)=(-3)^2+(-3)=9-3=6
how do u identify slope
A small town in north Texas is in the middle of quite a scandal. It turns out that 15 years ago, three babies
were born within three minutes, and each was sent home randomly with the wrong family. In order to
determine which children are actually related to the parents involved, the blood type of each individual was
analyzed. Use the results shown below to answer the question.
Children
X. A
Y. O
Z. A
Parents
1. The Wheelers/ A and AB
II. The Byers/ AB and O
Ill. The Hendersons/ O and B
Answer:
X is parent 1
z is parent 2
y is parent 3
Is this statement true or false?
s={4, 8, 12, 16) is a solution to 6.2s >_ 24.8.
True
false
Answer:
The answer is True! Just had this on a test.
Step-by-step explanation:
An airplane moves at a constant speed of 120 miles per hour for 3 hours. How many miles does it go?
Answer:
120 miles per hour
total time 3 hours
120 x 3= 360
the plane travels 360 miles
Step-by-step explanation:
Answer:
Someone calculated his or her average speed to 7.46 Miles per hour (mph) This calculation will help you calculate your average speed when you have covered a certain distance over a certain time.
Step-by-step explanation:
The re sults your produce from the speed calculator input will come out in a variety of forms You can also find a report on your speed in terms of kilometres per hour, meters per minute and metres per second. There is also a report on the time it takes you to travel certain distances. This report shows you min:sec per kilometre, seconds per 100 .
Parallelogram RSTU is shown.
Ilan needs to prove that segment RS ≅ segment TU and segment RU ≅ segment TS. His proof is shown in the table below.
Step Statement
1 RSTU is a parallelogram
2 Side RS || Side TU and Side RU || Side TS
3 ∠RSU≅∠TUS and ∠RUS≅∠TSU
4 Side SU ≅ Side US
5 ΔRSU≅ΔTUS
6 Side RS ≅ Side TU and Side RU ≅ Side TS
Select all reasons that support one or more statements in the proof.
-symmetric property
-opposite sides of a parallelogram are congruent
-alternate interior angles are congruent
-corresponding parts of congruent triangles are congruent
-definition of a parallelogram
Answer:
alternate interior angles are congruent corresponding parts of congruent triangles are congruent definition of a parallelogramStep-by-step explanation:
Step Statement ⇒ Reason
1 RSTU is a parallelogram ⇒ Given
2 Side RS || Side TU and Side RU || Side TS ⇒ definition of a parallelogram
3 ∠RSU≅∠TUS and ∠RUS≅∠TSU ⇒ alternate interior angles are congruent
4 Side SU ≅ Side US ⇒ reflexive property
5 ΔRSU≅ΔTUS ⇒ ASA postulate
6 Side RS ≅ Side TU and Side RU ≅ Side TS ⇒ corresponding parts of congruent triangles are congruent
Can someone do an ixl for me please?
Evaluate: (9 - 3)² + 5 ÷ ⅓
Answer:
123
Step-by-step explanation:
(6^2+5)*3= 41*3= 123
Answer:
Step-by-step explanation:
take away the parenthesis
9 - 3 = 6
6² + 5 ÷ ⅓
take away the exponents
6 * 6 = 36
36 + 5 ÷ ⅓
36 + 5 = 41
41 ÷ ⅓
( 41 ÷ 1 ) ÷ 3
41 ÷ 3
13.66666666666667
Round it up, and u get
13.7 or 14 depends on how much u want to round it up to.
Hope this helped!
Have a supercalifragilisticexpialidociuos day!
We went to the store and bought 6 giant candy bars and 2 small
bags of jawbreakers and spent $13.00. My friend went to the store
and bought 4 giant candy bars and 6 small bags of jawbreakers
and spent $11.00. How much did a candy bar cost? How much did
a bag of jawbreakers cost?
Answer:
Giant Candy Bar: 2$
Small Bags of Jawbreakers: .50$
Step-by-step explanation:
First you make out the equations, with the variables of c for giant candy bars and j for the small bags of jaw breakers.
First equation we make is 6c+2j=13
The second equation is 4c+6j=11.
You can then make one of the equations a negative and equal to the other. What I mean is we can use the elimination method. So I choose to do -18c+-6j=-39 (Multiplied by -3) so we can eliminate the 2 6js and get 4c=11 and -18c=-39. You then add the remaining equations together to get -14c=-28, so c=2. Using that we can then chose an equation to substitute c with. Ill choose the first one, so you get 6(2)+2j=13. 12+2j=13; 2j=1. By simplifying, you get the jawbreakers as .50 dollars.
