5. Mis the midpoint of CD. C has coordinates (-1,-1) and
M has coordinates (3,5). Find the coordinates of D.
Answers
Answer/Step-by-step Explanation:
4. Midpoint (M) of AB, for A(-2, -3) and B(1, 2) is given as:
[tex] M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}) [/tex]
Let [tex] A(-2, -3) = (x_1, y_1) [/tex]
[tex] B(1, 2) = (x_2, y_2) [/tex]
Thus:
[tex] M(\frac{-2 + 1}{2}, \frac{-3 + 2}{2}) [/tex]
[tex] M(\frac{-1}{2}, \frac{-1}{2}) [/tex]
5. Given M(3, 5) as midpoint of CD, and C(-1, -1),
let [tex] C(-1, -1) = (x_2, y_2) [/tex]
[tex] D(?, ?) = (x_1, y_1) [/tex]
[tex] M(3, 5) = (\frac{x_1 +(-1)}{2}, \frac{y_1 +(-1)}{2}) [/tex]
Rewrite the equation to find the coordinates of D
[tex] 3 = \frac{x_1 - 1}{2} [/tex] and [tex] 5 = \frac{y_1 - 1}{2} [/tex]
Solve for each:
[tex] 3 = \frac{x_1 - 1}{2} [/tex]
[tex] 3*2 = \frac{x_1 - 1}{2}*2 [/tex]
[tex] 6 = x_1 - 1 [/tex]
[tex] 6 + 1= x_1 - 1 + 1 [/tex]
[tex] 7 = x_1 [/tex]
[tex] x_1 = 7 [/tex]
[tex] 5 = \frac{y_1 - 1}{2} [/tex]
[tex] 5*2 = \frac{y_1 - 1}{2}*2 [/tex]
[tex] 10 = y_1 - 1 [/tex]
[tex] 10 + 1= y_1 - 1 + 1 [/tex]
[tex] 11 = y_1 [/tex]
[tex] y_1 = 11 [/tex]
Coordinates of D is (7, 11)
Related Questions
can u help me i cant solve
Answers
Answer:
Reflect over the X-axis, then translate (x+6, y+3)hello there >3 i would like explanation for this :)
Answers
Answer:
75
Step-by-step explanation:
Let t and u represent the tens and units digits, respectively.
t = u + 2 . . . . the tens digit exceeds the units digit by 2
t + 2u = 17 . . . . the sum of the tens digit and twice the units digit is 17
Substituting for t in the second equation, we get ...
(u +2) +2u = 17
3u = 15 . . . . . . . . subtract 2
u = 5 . . . . . . . . . . divide by 3
t = u+2 = 7
The number is 75.
_____
Check
7 exceeds 5 by 2. 7 + twice 5 = 7 + 10 = 17.
Which of the following options best represents the modulus of the fifth roots of √5 + 2i?
[tex]\sqrt[5]{3}[/tex]
[tex]\sqrt[3]{5}[/tex]
[tex]\sqrt[5]{2}[/tex]
[tex]\sqrt[5]{5}[/tex]
Answers
Answer:
the answer should be c
you move the 5 to the radical then put the 2 i under it then get rid of the i
Step-by-step explanation:
A class had 6 students absent one Monday, This was of
the entire class. How many students were present that day?
Please help.
Answers
Step-by-step explanation:
la 6 es la mejor rspuesta
Select the domain and the range of the function as an inequality, using set notation, and using interval notation. Also select the end behavior of the function or complete the explanation why there is no end behavior. The graph of the quadratic function f(x) = 3x2 + 2 is shown.
Answers
The domain is the input value of x, which can be any real number.
There is no inequality.
Set notation x | E R. ( all real nUmbers)
Interval. Oration (-infinity, infinity)
Range: set x to 0 and solve:
3(0)^2 + 2 = 2
The lowest value is 2 and goes to infinity.
Inequality is >=
Set notation Y | >= 2
Interval notation : [2, infinity)
End behavior they both go to infinity .
What is the answer to the main problem
Answers
Answer:
x-int: (3, 0)
y-int: (0, -1.5)
Step-by-step explanation:
x-intercept is the x-value when y = 0
y-intercept is the y-value when x = 0
Step 1: Find x-intercept
0 = (x - 3)/2
0 = x - 3
x = 3
(3, 0)
Step 2: Find y-intercept
y = (0 - 3)/2
y = -3/2
(0, -1.5)
what other answers are correct?
Answers
2 answers:
B) integer
C) Rational
=========================
The original expression simplifies to -4 which is part of the set of integers {..., -3, -2, -1, 0, 1, 2, 3, ...}
We can write -4 as a fraction of two integers -4 = -4/1, so it is also a rational number.
Because it's rational, it cannot be irrational.
The set of whole numbers is {0, 1, 2, 3, ...} which doesn't involve negative values. If you want to include negative values, then use the set of integers.
Help !!!!!!!!!!!!!!!!
Answers
Answer:
Hey there!
5(v+3)-10v>-10
5v+15-10v>-10
-5v+15>-10
-5v>-25
v<5
Let me know if this helps :)
Answer:
[tex]\Huge \boxed{v < 5}[/tex]
Step-by-step explanation:
5(v + 3) - 10v > -10
Expand brackets.
5v + 15 - 10v > -10
Combine like terms.
-5v + 15 > -10
Subtract 15 from both parts.
-5v > -25
Divide both parts by -5 (flip sign).
v < 5
solve for x in 3( x+ 2)=2(x+2)
Answers
Answer:
-2
Step-by-step explanation:
3( x+ 2)=2(x+2)
=>3x+6=2x+4
=>3x-2x=4-6
=>x=-2
-2 is the value of x
Answer:
The answer is
x = - 2Step-by-step explanation:
3( x+ 2)=2(x+2)
First expand the terms in the bracket
That's
3x + 6 = 2x + 4
Group like terms
Send the constants to the right side of the equation and those with variables to the left side
3x - 2x = 4 - 6
Simplify
We have the final answer as
x = - 2Hope this helps you
What value of x will make each equation below true? 4x-1=4x+7
Answers
Answer:
It will have no solution.
Step-by-step explanation:
If this will be solved algebrically , then the the variables will get cancelled .... If this will be solved graphically , then the graphs of both eqns will be parallel to each other....
Answer:
there is no solution
Step-by-step explanation:
4x-1=4x+7
4x - 1 - 4x = 4x + 7 - 4x
-1 = 7
there is no solution .
If m∠JKM = 43, m∠MKL = (8 - 20), and m∠JKL = (10x - 11), find each measure.
1. x = ?
2. m∠MKL = ?
3. m∠DEF = ?
Answers
Correct Question: If m∠JKM = 43, m∠MKL = (8x - 20), and m∠JKL = (10x - 11), find each measure.
1. x = ?
2. m∠MKL = ?
3. m∠JKL = ?
Answer/Step-by-step explanation:
Given:
m<JKM = 43,
m<MKL = (8x - 20),
m<JKL = (10x - 11).
Required:
1. Value of x
2. m<MKL
3. m<JKL
Solution:
1. Value of x:
m<JKL = m<MKL + m<JKM (angle addition postulate)
Therefore:
[tex] (10x - 11) = (8x - 20) + 43 [/tex]
Solve for x
[tex] 10x - 11 = 8x - 20 + 43 [/tex]
[tex] 10x - 11 = 8x + 23 [/tex]
Subtract 8x from both sides
[tex] 10x - 11 - 8x = 8x + 23 - 8x [/tex]
[tex] 2x - 11 = 23 [/tex]
Add 11 to both sides
[tex] 2x - 11 + 11 = 23 + 11 [/tex]
[tex] 2x = 34 [/tex]
Divide both sides by 2
[tex] \frac{2x}{2} = \frac{34}{2} [/tex]
[tex] x = 17 [/tex]
2. m<MKL = 8x - 20
Plug in the value of x
m<MKL = 8(17) - 20 = 136 - 20 = 116°
3. m<JKL = 10x - 11
m<JKL = 10(17) - 11 = 170 - 11 = 159°
One cleaning solution uses 1 part vinegar with 2 parts water. Other cleaning solution uses 2 parts vinegar with 3 parts water. A student says that this represents a proportional relationship because, in each solution, there is one more part of water than vinegar. What is the error and correct it.
Answers
Answer:
Linear relationship.
Step-by-step explanation:
Given that:
Cleansing solution 1 uses 1 part of vinegar with 2 parts water.
Ratio of vinegar to water = 1:2
Cleansing solution 2 uses 2 part of vinegar with 3 parts water.
Ratio of vinegar to water = 2:3
As per a student, the relationship is proportional.
First of all, let us learn about a proportional relationship.
A proportional relationship is the relationship in which the ratios are equal.
OR
In other words, one variable is always a constant value times higher than the other variable.
Here, we have the ratios as 1:2 and 2:3.
One ratio is 0.5 and other ratio is 0.67 which are not equal.
So, it is not proportional relationship.
As we see there is difference of 1 in each ratio.
i.e. Difference in First solution = 2 - 1 = 1
Difference in Second solution = 3 - 2 = 1
So, there is only a constant value change([tex]y = x+c[/tex]) in the other variable when one variable changes by 1.
So, it can be called Linear relationship and this constant is 1.
The equation can be represented as.
[tex]y = x+1[/tex]
where [tex]y[/tex] represents the parts of water in the solution and
[tex]x[/tex] represents the parts of vinegar in the solution.
Jermaine paid $10 for an item and the shop owner gave him $2 in change. Which expression represents how much less he would have in his wallet?
Answers
Answer:
Should be 10- (-2) lemme know if im wrong
Step-by-step explanation:
The answer is 10-(-2)
Please help me, what I need help on is in the picture. (Geometry)
Answers
Answer:
34°
Step-by-step explanation:
5x+4+5x-1=73
10x+3=73
10x=73-3
10x=70
x=7
m<ABC=5x-1=5(7)-1=35-1=34°
PLEASE help me. I am stuck on this question for a long time.
Answers
Answer: Plot 1
Step-by-step explanation:
#1 Find the median of the whole set
- since there are 31 data, it is odd, we just need to find the 16th data which is 73.
- the median is 73
#2 Find the median of Less than Q2
- since there are 15 data, it is odd, we just need to find the 8th data which is 64
- the median is 64
#3 Find the median of more than Q2
- since there are 15 data, it is odd, we just need to find the 8th data which is 84
- the median is 84.
-----------------------------------
Putting it back to the box and whisker plot, it will be plot 1
Mr. Ondonez gives his math students 34 quizzes during 17 weeks of school if he gave the same number because it each week how many quizzes does Mr.Ondonez give his students every week
Answers
Answer:
2 quiz
Step-by-step explanation:
Mr Ondonez gives his students 34 quizzes over 17 weeks. They are given the same number of quiz per week. To calculate the number of quiz given per week, we have to divide the total number of quiz given by the total number of weeks. Therefore:
Number of quiz per week = Total number of quiz / Total number of weeks
Number of quiz per week = 34 / 17 = 2
The students are given 2 quizzes per week.
Answer:
2 quiz
Step-by-step explanation:
Help! Please simplify: 0.2(3a−1)+0.3−0.6 Thank you!
Answers
Answer:
0.6a - 0.5
Step-by-step explanation:
We can expand 0.2(3a - 1) and evaluate 0.3-0.6, getting 0.6a - 0.2 - 0.3.
We can then simplify this expression, getting 0.6a - 0.5.
Hope this helps !
Which numbers produce an irrational number when added to 5/8
Answers
Answer:
Irrational numbers
Step-by-step explanation:
Any irrational number plus a rational number like (5/8) creates another irrational number.
━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━
An irrational number is a number that cannot turn into a fraction.
If you add an irrational number to a rational number, the sum is an irrational number because since the number cannot be ended and/or written into a fraction.
Irrational numbers are: Pi and infinity. Pi doesn't ever end, and all the digits (after 0) are different (it's a formula). Infinity has no end, so you cannot write infinity as a fraction.
Pi plus 5/8 is an irrational number.
Infinity plus 5/8 is also an irrational number.
━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━
Larry pickett earns 6% commission On all sales he also received a $700 bonuses if his commission exceeds $3000 hIs total sales were 65500 what was Total pay
Answers
Answer:
His total pay= $4,630
Step-by-step explanation:
Larry pickett earns:
commission=6% on all sales
He also received a $700 bonuses if his commission exceeds $3000
His total sales were 65500 what was Total pay
Commission= 6% of all sales $65,500
=6/100 × 65,500
=0.06 × 65,500
=3,930
His commission =$3,930
His commission exceeds $3000
Therefore,
His Total pay= Commission + bonus of $700 if his commission exceeds $3,000
=3,930 + 700
=4,630
His total pay= $4,630
Select the expression that is equivalent to x + x + y × y × y. Question 11 options: (a)x^2 + 3y (b)2x + 3y (c)x^2 + y^3 (d)2x + y^3
Answers
x+x+y.y.y = 2x+y^3 ( y cube)
So, The answer is (d)
Which number is not written in scientific notation
Answers
Answer:
D. 15x10^20
Step-by-step explanation:
The rule for scientific notation is that the coefficient has to be between 1 and less than 10. This means there is only one digit in front of the decimal. 15x10^20 should be written as 1.5x10^21 to follow the rule.
Answer:
Hey there!
e15 times 10^20 isn't written in scientific notation. For a number to be in scientific notation, the leading number must be between 1 and 10.
Let me know if this helps :)
Write the rational number 0.3 in the form ab , where a and b are integers.
Answers
Answer: 3/10
Step-by-step explanation:
Given a decimal number 0.3
To Write the rational number 0.3 in the form ab , where a and b are integers, take it to be :
0.3 /1
Multiply the numerator and the denominator by 10
0.3/1 × 10/10 = 3/10
Therefore, a = 3 and b = 10
the rational number 0.3 in the form ab , where a and b are integers is
3/10
Mr. Dun ford will give 6 pencils to each of his 30 students in his class. There are 12 pencils in each box he will order. He has 24 pencils left from another class. How many boxes of pencils should he order?
Answers
Answer:
The answer is 4
Step-by-step explanation:
2 x square + 5 x - 3 = 0
help please
will give brainlest to the first answer
thank you
need the answer asap
Answers
Your question has been heard loud and clear.
2x^2+5x-3=0
Splitting the middle term (5x) we get , -1x+6x
So , 2x^2-1x+6x-3=0
2x^2-1x+6x-3=0
(2x^2-1x)+(6x-3)=0
taking common factor from(2x^2-1x) which is x and taking common factor from (6x-3) which is 3 , we get
x(2x-1)+3(2x-1)=0
So , solution that we get is
(x+3) and (2x-1)
Thank you.
Step-by-step explanation:
2x^2+5x-3=0.
which will be 2x^2+2x+3x-3=0.
2x(x+1)+3(x+1)=0.
2x+3=0,x+1=0.
x=-3/2,x=-1..
I hope this helps but please recheck the question especially 5x is it +5x or -5x.....Thank you for the question
(Image) Use Pythagorean Theorem to find the length of the missing side of this right triangle to the nearest tenth.
Answers
x = 10.3
Answer:
The missing side is 10.25
Step-by-step explanation:
Step 1: Use Pythagorean Theorem
[tex]11^{2} = 3.9^{2} + x^{2} \\121 = 15.21 + x^{2}\\121 - 15.21 = x^{2} \\105.79 = x^{2} \\\sqrt{105.79} = \sqrt{x^{2} } \\x = 10.285[/tex]
Therefore the missing side is 10.285
Heights of certain plants at a nursery are normally distributed with a mean of 52.5 centimeters and a standard deviation of 7.2 centimeters. If their z-scores are greater than 2.25, the plants are displayed in the main lobby. To the nearest centimeter, what is the minimum required height for this type of plant to be displayed in the main lobby? Question 7 options: 68 cm 55 cm 69 cm 56 cm
Answers
Answer:
The correct option is;
69 cm
Step-by-step explanation:
The z-score, or standard score is a measure of how far a data is from the mean
The z-score, is given by the relation;
[tex]z = \dfrac{x- \mu}{\sigma}[/tex]
Z = Standard score
x = Value observed
μ = The mean height of the plants = 52.5 cm
σ = Standard deviation = 7.2 cm
Given that the z-score = 2.25, we have;
[tex]2.25 = \dfrac{x- 52.5}{7.2}[/tex]
Therefore, x = 7.2 × 2.25 + 52.5 = 68.7 cm ≈ 69 cm
Therefore, the minimum required height for this type of plant to be displayed in the main lobby is 69 cm.
Please answer it as soon as possible.
1. a^4+1+1/a^4
Answers
Explanation:
a^4 + 1 + 1/a^4
= (a^4 x a^4)/a^4 + a^4/a^4 + 1/a^4
= (a^8 + a^4 + 1)/a^4
= [(a^8 + a^4) + 1]/a^4
= a^4(a^4 + 1) + 1)/a^4 (cancel a^4 from both the numerator and denominator)
= a^4 + 1 + 1
= a^4 + 2
(a^4 x a^4)
Which table has a constant of proportionality between y and x of 0.9? HELLO SOMEONE PLZ HELP this all depends on me on getting a phone plz help
Answers
Answer:
B
Step-by-step explanation:
seeing input/ output boxes= function
y is proportional to some constant (k)(constant of proportionality) times x
y=kx
y=0.9(x)
plug and chug...
4(.9)=3.6
6(.9)= 5.4
12(.9)= 10.8
Which expression is equivalent to i^256?
-1
i
1
-i
Answers
Answer:
1
Step-by-step explanation:
i²⁵⁶ is the equivalent of (i²)¹²⁸.
(i²)¹²⁸ = (-1)¹²⁸ = 1.
Answer:
[tex]\Huge \boxed{1}[/tex]
Step-by-step explanation:
[tex]i^{256}[/tex]
[tex](i^4)^{64}[/tex]
Apply identity : [tex]i^4 =1[/tex]
[tex]1^{64}=1[/tex]
help pleaseeee i don’t know
Answers
Answer:
B. how long the toy rang
Step-by-step explanation:
In order to test the battery, you need to see which will last the longest. Therefore, you should time how long it rang.