Answer:
Simone is correct
Step-by-step explanation:
Given
Line 1:
[tex](x_1,y_1) = (-2, 7)[/tex]
[tex](x_2,y_2) = (3, 0)[/tex]
Line 2:
[tex](x_1,y_1) = (2, 1)[/tex]
[tex](x_2,y_2) =(12, -13)[/tex]
Required
Is Simone correct?
Slope (m) is calculated using:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
For Line 1
[tex]m = \frac{0 - 7}{3 - (-2)}[/tex]
[tex]m = \frac{0 - 7}{3 +2}[/tex]
[tex]m = \frac{-7}{5}[/tex]
[tex]m = -\frac{7}{5}[/tex]
For Line 2:
[tex]m = \frac{-13 - 1}{12 -2}[/tex]
[tex]m = \frac{-14}{10}[/tex]
Divide by 2/2
[tex]m = \frac{-14/2}{10/2}[/tex]
[tex]m = \frac{-7}{5}[/tex]
[tex]m = -\frac{7}{5}[/tex]
By comparison, both lines have the same slope.
Hence, Simone is correct
Solve the equation 4x - 6 = 34. Write a justification for each step.
47-6= 34
Given equation
+6 +6
4x
Simplify.
= 40
4x 40
44
[2]
X= 10
Simplify
[1] Addition Property of Equality,
[2] Reflexive Property of Equality
[1] Substitution Property of Equality,
[2] Division Property of Equality
[1] Division Property of Equality,
[2] Subtraction Property of Equality
[1] Addition Property of Equality:
[2] Division Property of Equality
8
Answer:
[1] Addition property of equality
[2] Division property of equality
Step-by-step explanation:
Given the equation, [tex] 4x - 6 = 34 [/tex], the following are steps and justification for each step taken:
[tex] 4x - 6 = 34 [/tex] => Given equation
Add 6 to both sides
[tex] 4x - 6 + 6 = 34 + 6 [/tex] => addition property of equality [1]
[tex] 4x = 40 [/tex] => simplify
Divide both sides by 4
[tex] \frac{4x}{4} = \frac{40}{4} [/tex] => Division property of equality [2]
[tex] x = 10 [/tex] => simplify
The justification for the steps taken are:
[1] Addition property of equality
[2] Division property of equality
question: 3x +8 if x=2
FAST!!!!!
Answer:
3(2)+8= 14
Step-by-step explanation:
Answer:
14
Step-by-step explanation:
its pretty much 6+8
Please answer correctly !!!!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!
Answer:
x is also 63 degrees this is because vertical angles are congruent or like equal in measure
Step-by-step explanation:
HOPE THIS HELPEDDDD
Answer:
63 degrees
Step-by-step explanation:
Since m is parallel to n, the angle that is marked 63 degrees and x are alternate interior angles. The alternate interior angle theorem states that alternate interior angles are congruent when a line cuts through two parallel lines. So, since m and n are parallel, these are congruent angles, making x also 63 degrees.
8x-4y= -56 put in
slope-intercept form
Answer: x=2x +14
Step-by-step explanation:
1) subtract 8x from both sides: -4x= -8x -56
2) divide both sides by -4: x=2x +14
Triangles ABC and DEF are similar. Find e.
A.) 11
B.) 12
C.) 10
D.) 9
Help pls<---
ASAP DUE TODAY BY 9:05
Answer:covert - 2/3 to -4/6. Then after you do the math...you get -9/6....simplify that to -3/2e=-27. You then multiply -27 by the reciprocal -2/3 and the answer is 18.
Step-by-step explanation:
Estimate the product 0.62 x 104
Answer:
The estimated product is 52.
Step-by-step explanation:
0.62 is 0.38 away from one and 0.12 away from 0.5. Since it's closer to 0.5, we'll round it to that. 104 doesn't need to be rounded because it's a whole number. So, 1/2 of 104 is 52. The estimated product is 52
Hope this helps! :)
A survey was conducted to see how many people ride a bus to school everyday 160 people reported that they ride the bus school everyday this number represents 80%of the people surveyed how many were surveyed
Answer:
200 people
Step-by-step explanation:
Henry has a faulty watch. It is losing minutes every day. How many minutes will be lost after 7 days?
A.
21 minutes
B.
10 minutes
C.
3 minutes
D.
34 minutes
Answer:
A: 21 minutes
Step by step explanation:
If he loses 3 minutes everyday then it would be A because 7 days times 3 minutes he loses everyday equals 21 minutes.
PLEASE HELP!!!!
Write a function g whose graph represents a reflection in the y-axis of the graph of f(x)=−3+|x−11|.
A function assigns the value of each element of one set to the other specific element of another set. The function g(x) which is reflection of f(x) will be g(x)=−3+|x+11|.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
The given function g whose graph represents a reflection in the y-axis of the graph of f(x)=−3+|x−11| will be g(x)=−3+|x+11|. This is because if the function is reflected on the y-axis then the result of the reflected function will be the same but the result will be 11 units late, 11 units because it is the critical point of the absolute value.
Hence, the function g(x) which is refelction of f(x) will be g(x)=−3+|x+11|.
Learn more about Function here:
https://brainly.com/question/5245372
#SPJ1
On January 1, 2010, Joline deposits $1000 in a bank account that does not earn interest. For the next 12 months she deposits $25 each month. Then she withdraws $25 each month for the next 12 months. On January 1, 2010, Sofia deposits $1100 in an account that earns 0.25% interest each month.
a. Write two models: one for the amount in Joline's account and one for the amount in Sophia's account. State what the variables in your models represent.
b. In what months and years do the accounts have approximately the same amount, and what are the amounts?
Answer:
$1000 + $25m and $1300 - 25m ;
1100 + 2.75m
2010 (4th month)
2011 ( 7th month)
Step-by-step explanation:
Joline's account :
Initial deposit = $1000
Monthly deposit = $25
Monthly withdrawal = $25
Number of months = 12
Let m = number of month at any point in time
Initial deposit + total deposit
Amount in Joline's account ; first 12 months
$1000 + $25m - - - (1)
Next 12 months :
$1000 + $25 *12 - 25m
1300 - 25m
Sofia's account :
Deposit amount = $1100
Interest per month = 0.25% = 0.0025
1100 + (1100 * 0.0025 * m)
1100 + 2.75m - - (2)
To find the month:
Equate equation 1 and 2, then find m
$1000 + $25m = 1100 + (1100*0.0025*m)
1000 + 25m = 1100 + 2.75m
25m - 2.75m = 1100 - 1000
22.25m = 100
m = 100 / 22.25
m = 4.494
In year 2010, they have approximately the same amount in the fourth month
1300 - 25m = 1100 + 2.75m
1300 - 1100 = 2.75m + 25m
200 = 27.75m
m = 200 / 27.75
m = 7.207
In 2011 ; they have approximately the se amount in the 7th month
At a plant nursery, 5/8 of the planets for sale are flowers and another 1/3 of the plants are shrubs. What amount of the plants for sale are either flowers or shrubs?
Answer: 23 / 24
Step-by-step explanation:
Given that:
Fraction of flowers for sale = 5/8
Fraction of shrubs for sales = 1/3
Amount of flowers that are either flowers or shrubs :
(Fraction of flowers +. Fraction of shrubs)
(5/ 8 + 1 /3)
L.C.M of 8 and 3 = 24
= (15 + 8) / 24
= 23 / 24
What is the value of the function at x=-2
Y=-4
Y=0
Y=2
Y=3
This is so you can mark him as the brainiest
I gotchu :)
Answer:
thx for the points and happy thanksgiving
Step-by-step explanation:
have a great night/morning
i love food,do u?
HELP PLEASE PICTURE EXPLAINS EVERYTHING!!!!
Answer:
(a) Slope of Line 1 = 3
Slope of Line 2 = 3
Slope of Line 3 = -1/3
(b)
Line 1 and Line 2 = Parallel
Line 1 and Line 3 = Perpendicular
Line 2 and Line 3 = Perpendicular
Step-by-step explanation:
Please mark as brainliest! Thanks! Hope this helps!
It takes Taylor hour to make of a batch of cookies. About how long will it take him to make 8 batches?
B.
3.6 hours
C.
5.4 hours
D.
7.2 hours
Answer:
it would be 8 hours.....
Step-by-step explanation:
im am a bit confused, why is that not an answer choice
A triangle with side lengths of 8, 15, and 17.5 form a right triangle.
I would appreciate the help
9514 1404 393
Answer:
false
Step-by-step explanation:
You can check to see if the sum of squares of the smaller two numbers is equal to the square of the larger.
8² +15² vs 17.5²
64 +225 vs 306.25
At this point, you need go no further. The sum of two integers will not have a fractional part, so cannot be equal to 306.25.
289 vs 306.25 . . . . the long side is too long for a right triangle.
__
If you were familiar with some of the Pythagorean triples, you would know that the closest triple is {8, 15, 17}, so (8, 15, 17.5) does not represent a right triangle.
A few common Pythagorean triples are ...
{3, 4, 5}, {5, 12, 13}, {7, 24, 25}, {8, 15, 17}, {9, 40, 41}
24,29,32 a acute, right, abtuse
Answer:
All are acute
Step-by-step explanation:
Acute angles are any angles that are less than 90°.
Right angles are angles that measure 90°.
Obtuse angles are angles that are more than 90°.
As we can see, 24, 29, and 32 are all less than 90°, making them all acute.
Best of Luck!
find the points of D(-3,-1), E(-1,2), F(4,-2) after a rotation 180° about the origin ASAP PLEASE ILL GIVE BRAINLIEST
Answer:
Step-by-step explanation:
D = 3,1
E = 1,-2
F= -4,2
Please help ASAP!!!!!!!!
The sum of three consecutive integers is 108. What are the integers
Answer:
35, 36, and 37
Step-by-step explanation:
We know our answer is correct because 35 + 36 + 37 equals 108.
Answer:
35,36,and 37
Step-by-step explanation:
A teacher weighed 145 lbs in 1986 and weighs 190 lbs in 2007. What is the rate of change in weight? HELP
Answer:
c
Step-by-step explanation:
she gained 45 pounds which is 15/7 of 145
The line passing through which two points is parallel to the line x - 2y = 16?
I need help anyone fast please
The point 3/4 of the way from A(-4,- 7) to B(12, 5)
Answer:
The coordinates of C are (8,2)
Step-by-step explanation:
We are given the segment from A(-4,-7) to B(12,5) and it's required to find a point C(x,y) that is located at 3/4 of the distance from A to B.
This means that:
[tex]d_{AC}=3/4\cdot d_{AB}[/tex]
where dAC is the distance from A to C and dAB is the distance from A to B.
The same proportion of the distances is satisfied by the coordinates of the point C, that is:
[tex]\displaystyle x-x_A=\frac{3}{4}(x_B-x_A)[/tex]
Adding xA:
[tex]\displaystyle x=\frac{3}{4}(x_B-x_A)+x_A[/tex]
[tex]\displaystyle x=\frac{3x_B+x_A}{4}[/tex]
Similarily:
[tex]\displaystyle y=\frac{3y_B+y_A}{4}[/tex]
Calculating:
[tex]\displaystyle x=\frac{3(12)-4}{4}[/tex]
x = 8
[tex]\displaystyle y=\frac{3(5)-7}{4}[/tex]
y = 2
The coordinates of C are (8,2)
Solve equation Y=9x-70 and y=2x-32
Step-by-step explanation:
y = 9x - 70 ...1
y = 2x - 32 ...2
...1 - ...2
0 = 7x -38 ...3
7x - 38 = 0
7x = 38
x = 38/7
Find the value of the variable (simplify your answer)
Answer:
y=70.71
Step-by-step explanation:
Refer to the picture that given
Answer:
70.71
EXPLANATION
sin45° =50/y
This implies y=50/sin45
5. Find the difference of 785 and 543
785+543
Step-by-step explanation:
785-543=242
difference means subtract
Which inequality is true?
A. I +9< 12
B. 57 > 15
C.
6
27
:> 1
D. 41 - 2 < 10
i need help please
Answer:
B
Step-by-step explanation:
Answer:
thx for 5 points
Step-by-step explanation:
latisha has 7 boxes with 21 shells in each box. she has 6 bags with 17 shells in each bag. she uses 18 shells to make a design. which of these expressions can latisha use to find how many shells are left
Answer:
231
Step-by-step explanation:
7x21=147
6x17=102
147+102=249
249-18=231
Answer: Letter D 7x21+6x17-18
Bye yw!
Karen has 560 friends and family on social media of the friends, 50% are from high school, and 30% are from her after school job. The rest are family
members
How many family members does Karen know on social media?
Answer: 112
Step-by-step explanation:
560/5