The midpoint of a line segment is the point equidistant to the endpoints of the line. The coordinate of S is (2,-9)
Given that:
[tex]T(x_1,y_1) = (0,5)[/tex]
[tex]M = (1,-2)[/tex] --- the midpoint of ST
[tex]S = (x_2,y_2)[/tex]
To calculate the coordinates of S, we use the following midpoint formula:
[tex]M = 0.5 \times (x_1 + x_2,y_1+y_2)[/tex]
So, we have:
[tex](1,-2) = 0.5 \times (0 +x_2,5 + y_2)[/tex]
Divide both sides by 0.5
[tex](2,-4) = (0 +x_2,5 + y_2)[/tex]
[tex](2,-4) = (x_2,5 + y_2)[/tex]
Compare both sides
[tex]x_2 = 2[/tex]
[tex]5 + y_2 = -4[/tex]
Collect like terms
[tex]y_2 = -4-5[/tex]
[tex]y_2 = -9[/tex]
Hence, the coordinates of S is:
[tex]S = (2,-9)[/tex]
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use the distribution property to write the problem without parenthesis, 4 (2x+11) - 8x+36
Answer:
80
Step-by-step explanation:
8x+44-8x+36
8x-8x+44+36
44+36
80
if (x + 4) is a factor of polynomial p, which statement must be true?
A.p(4) = 0
B. p(-4) > 0
C. p(-4) = 0
D. p(4) < 0
Answer: p(-4)=0
Step-by-step explanation:
100% correct
If x + 4 is factor of polynomial p than p(-4) = 0. Hence, option C. is correct.
(x + 4) is a factor of polynomial p
Factors can be define splitting the value in multipliable values.
If x + 4 is factor of the polynomial p
This can be true only if,
x + 4 = 0
x = -4, satisfy the polynomial equation i.e.
p(-4) = 0
Thus, x + 4 will be the factor of polynomial p only if p(-4) = 0.
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Find the slope......
Answer:
Step-by-step explanation:
Please help with the question, and if you can please explain how you got the answer. Thank you.
9514 1404 393
Answer:
C. p ∨ q
Step-by-step explanation:
The compound statement is of the form ...
p or q
where ...
p = Memorial day is in July
q = parallel lines intersect
The symbol ∨ is used to represent the disjunction (or).
The symbolic form of the given statement is ...
p ∨ q
__
As it happens, both p and q are false, which means the disjunction is false. That has no bearing on the symbolic representation of it.
_____
∧ represents conjunction (and).
Which expression is equivalent to 4(3+5) - 3.92?
Answer:
28.08
Step-by-step explanation:
4(3+5)−3.92
Add 3 and 5 to get 8
4×8−3.92≈28.08
Multiply 4 and 8 to get 32
32−3.92≈28.08
Subtract 3.92 from 32 to get 28.08
28.08
can someone help me please
Answer:
2,5,8,11,14,17,20
Description: Each time there was an addition of 3 onto each 'y'.
Step-by-step explanation:
+3 to the last one each time
2+3=5
5+3=8 etc
How do you solve -2 1/2+3/4÷3/8
Step-by-step explanation:
1. use PEMDAS (Parentheses, Exponent, Multiplication & Division, Addition & Subtraction). you would do 3/4 divided by 3/8 first.
3/4 / 3/8 = 2
2. add 2 to -2 1/2 (or if it's easier to understand, do 2 minus 2 1/2)
-2 1/2 + 2 = -1/2 OR 2- 2 1/2 = -1/2
answer is -1/2
Determine the intercepts of the line
x- intercept (_,_)
y- intercept (_,_)
Answer:
y: (0,15)
X: (-40,0)
Answer:
X intercept is (-40,0) y intercept is (0,15)
Step-by-step explanation:
The intercept is when it crosses the axis.
Thank you guys so much for all the help :)
Answer:
29.2
Step-by-step explanation:
This technique is called the Pythagoras Theorem.
a^2+b^2=c^2
15^2+25^2=c^2
225+625=c^2
850=c^2
Take the square root out of both sides.
c= 29.1547595
Round numbers
c= 29.2
Mark me brainliest if you can. Hope this helps.
16x2 - 8x + 1 is an example of a ______
Answer:
the answer would be an equation
plz helpp
Statement 2)
A)Addition property
B) Definition of midpoint
C) Definition of equality
D) Segment addition postulate
Reason 6)
A) Subtraction property
B) Transitive property
C) Property of equality
D) Definition of congruence
Answer:
Addition Property of Equality If AB = CD then AB + BC = BC +CD
Subtraction Property of Equality If AB + BC = BC + CD then AB = CD
Multiplication Property of Equality If m∢A = 90 then 2(m∢A) = 180
Division Property of Equaliity If 2(m∢B) = 180 then m∢B = 90
Substitution Property If m∢A + m∢B =180 and m∢B then m∢A + 90 =180
Distributive Property AB + AB = 2AB
Reflexive Property m∢B = m∢B
Symmetric Property If AB + BC = AC then AC = AB + BC
Transitive Property If AB ≅ BC and BC ≅ CD then AB ≅ CD
Segment Addition Postulate If C is between B and D, then BC + CD = BD
Angle Addition Postulate If D is a point in the interior of ∢ABC then m∢ABD + m∢DBC = m∢ABC
Linear Pair Postulate If two angles form a linear pair, then they are supplementary
Definition of Right Angle If ∢B is a right angle then m∢B = 90
Definition of Midpoint If P is the midpoint of segment AB then AP =PB
Definition of Segment Bisector If k intersects segment AB at M the Midpoint then k bisects segment AB
Definition of Perpendicular Lines If two lines are ⊥ they form right angles
Definition of Congruent Segments If AB = CD then segment AB ≅ segment CD
Definition of Congruent Angles If ∡A ≅∡ B then m∡A=m∡B
Definition of Angle Bisector If ray AB bisects ∡CAD then∡ CAB ≅ ∡ BAD
Definition of Complementary Angles If ∡ Z and ∡Y are complementary m∡Z +m∡Y =90
Definition of Supplementary Angles If ∡ S and ∡T are supplementary m∡S +m∡T = 180
Step-by-step explanation:
luke is baking brownies.he needs 1/2 cup of sugar for each batch of brownies.if he makes 6 batches of brownies,how much sugar will he need
Which equation represents a proportional relationship? y = 9x y = 9x , y = 9x + 1 y = 9x + 1 , y = 9x + 9
Answer: the answer is y=9x
Step-by-step explanation:
Please help!!!
is a relation that is also a function.
Answer:
Step-by-step explanation:
If each input value leads to only one output value, classify the relationship as a function. If any input value leads to two or more outputs, do not classify the relationship as a function.
Emily is saving up to buy a new phone. She already has $75 and can save an additional $7 per week using money from her after school job. How much total money would Emily have after 4 weeks of saving? *
Answer:
$103
Step-by-step explanation:
HELP WILL GIVE BRAINLIEST to best answer
Answer:
A,B,C,D
Step-by-step explanation:
They are all the same equation on both sides of the equal sign and sense the variable is x on all of them whatever number you put on one side you have to put it on the other side therefore resulting in any solution you could think of.
How do you subtract an integer from another integer without using
number line? Give an example.
a
Answer:
9-8=1
7-(-6)=13
Step-by-step explanation:
you just add it the normal way.
Answer:
See below
Step-by-step explanation:
See following examples
a and b
a- ba and -b
a - (-b) = a + b-a and b
-a - b = -(a + b)-a and - b
-a - (-b) = -a + b = b - aWhat is the Scale Factor going from the larger figure to the smaller figure?
Answer:
0.25
Step-by-step explanation:
scale factor=md/od
=0.5/2
0.25
is there a way you guys can show me how to graph this equation? if not something will do
Answer:
you can use an online graphing calculator
Step-by-step explanation:
Use the link in the screenshot
btw, the line after the word calculator is the cursor, so don't put anything after the word calculator.
527 x 36
What will this equal
Answer:
18972 I use an calculator
The solution of number 527 × 36 after multiplying is,
⇒ 527 × 36 = 18,972
We have to give that,
To solve the expression,
⇒ 527 × 36
Now, simplify the numbers as,
⇒ 527 × 36
After multiply,
⇒ 18,972
So, the solution is,
⇒ 18,972
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-3= -2+m /6
Solve each equation
Answer:
m= -6
Step-by-step explanation:
Answer:
-16=m
Step-by-step explanation:
-3=-2+m/6
6*-3=-2+m*6
-18=-2+m
2+-18=m
-16=m
How to solve ?? 3 (3z-6)=0
Answer:
Step-by-step explanation:
3(3z-6)=0
multiply your three with the 3z and the -6
9z-18=0
figure out what - 18 = 0
9z=18
9*2=18
z=2
hope this helps
If the planes extend infinitely in all directions, where do plane ADB and line EC intersect?
Answer: In point C.
Step-by-step explanation:
Plane ADB is the plane that contains the points A, D and B.
If you look in the image, you can see that point C also does belong to this plane.
Line EC is the line that connects the points E and C.
Now, remember that Point C does belong to the plane ADB, then the point where the plane ADB and line EC intersect is in point C, because it is a common point to both elements.
what are the two characteristics we look for when trying to solve a quadratic equation?
A. A positive coefficient for x^2 & the equation set equal to 0
B. Factor and cancel
C. Distribute like terms
D. There is no such thing as a quadratic equation
Answer:
Answer A makes the most sense by far.
Step-by-step explanation:
Answer A makes the most sense by far. However, strictly speaking, the coefficient of x^2 does not have to be positive if we're using the quadratic formula. Using some other approach, such as factoring, obtaining a positive coefficient for x^2 is helpful.
which property is demonstrated in the equation 6x(8x1)=(6x8)x1
Answer:
Commutative property of multiplication
Step-by-step explanation:
The commutative property of multiplication says that order doesn't matter in multiplication, and putting parenthesis affects the order, so that means the answer is commutative property of multiplication
Graph the line with this equation.
y= 2x + 2
Answer: it would be 2 to the right and 2 up
Step-by-step explanation:
2 right 2 up
A researcher is testing the claim that the average university student works less then 15 hours a week. To test this claim she surveys a random sample of 20 undergraduate students who reported an average of 13.5 hours a week of work. We will assume that the population is normally distributed with a standard deviation of 5 hours per week.
Test this claim at the alpha of 0.02 by calculating the z-score and comparing it to the critical z-score (z subscript c r i t end subscript equals negative 2.05 right parenthesis.
You have the standard error of the mean, so solve for the z-score.
Answer:
no
Step-by-step explanation: pick up the phone baby i know your home
What is the estimated age of Earth?
Answer:
4.543 billion years i think, i apologize if im wrong
Step-by-step explanation:
Answer:
4.54 billion years
Step-by-step explanation:
Scientists use the layers of rock of the Earth's crust/core to estimate how old is the earth.
Randy has $15 to spend on fruit. Using only estimation, which quantities of fruit can Randy reasonably buy? Check all that apply.
Answer:
7.2 pounds of apples
10.75 pounds of pears
4.22 pounds of strawberries
Answer:
A D E A=7.2 D=10.75 E=4.22. HOPE THIS HELPS! PLS give me brainliest...
Step-by-step explanation:
Hanna is recovering hundreds of treasure chests from an ancient shipwreck. She is able to recover 8 chests
every 4 hours.
Complete the table using equivalent ratios.
Treasure chests
Hours
8
4
6
10
