Answer:
y = [tex]\frac{1}{2}[/tex]x - 2
Step-by-step explanation:
Given parameters:
Coordinates = p(4,0)
Equation of the line -x+2y=12
Solution:
A line parallel to the given line will have the same slope as it is;
-x+2y=12
2y = x + 12
y = [tex]\frac{1}{2}[/tex]x + [tex]\frac{12}{2}[/tex]
Since this conforms to y = mx + c where;
x and y are the coordinates
m is the slope
c is the intercept
Our slope is [tex]\frac{1}{2}[/tex]
The equation of the line is
y = mx + c
let us find c;
c = y - mx
c = 0 - ([tex]\frac{1}{2}[/tex] x 4)
c = -2
Now the equation of the line parallel to the line given is;
y = [tex]\frac{1}{2}[/tex]x - 2
Mrs moretti is making welcome bags to give to the 18 students in his homeroom on the first day of school. He puts m mechanical pencils in each bag. He puts twice as many regular pencils in each bag. Which expressions represent the total number of pencils Mr Moretti gives to his students? CHOOSE ALL THAT APPLY: a.) m+2m b.) 18(m+2m) c.) 18+m+2m d.) 18m+18(2m) e.) 54m f.) 18+3m
Answer:
b.) 18(m+2m)
d.) 18m+18(2m)
e.) 54m
Step-by-step explanation:
Given;
total number of Mr Moretti's students = 18
number of mechanical pencils for each student = m
total number of mechanical pencils for all the students = 18m
number of regular pencils for each student = 2m
total number of regular pencils for all the students = 18(2m)
The total number of pencils given to all the 18 students by Mr Moretti is given by;
T = Total mechanical pencils + total regular pencil
T = 18m + 18(2m)
T = 18(m + 2m)
T = 18(3m)
T = 54m
Therefore, based on the expressions above, the correct options include;
b.) 18(m+2m)
d.) 18m+18(2m)
e.) 54m
Answer:
18(m+2m)
18m+18(2m)
54m
Step-by-step explanation:
I took the quiz.
Tylond puts $5,000 into a savings account that earns 4%
simple interest. How much interest does he earn after 3
years?
Answer:
125,000
Step-by-step explanation:
Help plz if someone could answer this problems soon as possible that would be great. It is a geometrical proof Given: angle 1 and angle 2 are complementary angle 1 is congruent to angle 3 and angle 2 is congruent to angle 4 prove: angle 2 and 3 are complementary
Answer:
<2 + <3 = [tex]90^{o}[/tex]
Thus, angles 2 and 3 are complementary.
Step-by-step explanation:
Complementary angles are two or more angles that their sum equals [tex]90^{o}[/tex]. Given that: i. <1 and <2 are complementary
ii. <1 ≅ <3
iii. <2 ≅ <4
Prove that: <2 and <3 are complementary
Proof:
<1 + <2 = [tex]90^{o}[/tex] (complementary angles)
<1 ≅ <3 (congruent property)
<2 ≅ <4 (congruent property)
⇒ <3 + <4 = [tex]90^{o}[/tex] (complementary angles by congruent property)
Since <1 ≅ <3,
∴ <2 + <3 = [tex]90^{o}[/tex]
Thus, angles 2 and 3 are complementary
Pictures, x
5
6 7
8
Profit, y
20
24
28
32
whats the fraction after being simplifyed?
For an avian research study, scientists wanted to estimate the local robin population. The scientists captured, tagged, and released 55 robins. A week later, they noted 30 tagged robins out of the 300 robins they counted. To the nearest whole number, what is the best estimate for the robin population?
Answer: The estimated number of robins in the population is 550
Step-by-step explanation: To estimate the population of robins, we will use the Mark-Recapture technique:
1) Capture a small number of individuals, mark them (with tags or other harmless identification) and release them;
2) After a period of time, catch another group and count the ones who have the mark;
3) Estimate the population using:
[tex]N=\frac{M*C}{R}[/tex]
where
N is the estimate of individuals in the population
M number of individuals marked
C is the total number of individuals captured the second time
R is the number of individuals with the mark recaptured
For the population of robins:
[tex]N=\frac{55*300}{30}[/tex]
[tex]N=\frac{16500}{30}[/tex]
N = 550
The best estimate for the robin population is 550.
please help me solve this
Answer:
-1
Step-by-step explanation:
please help me!! :)
Answer:
1/2
Step-by-step explanation:
hope this helps :o
A bus makes a stop at 2:30, letting off 11 people and letting on 8. The bus makes another stop ten minutes later to let off 5 more people. How does the number of people on the bus after the second stop compare to the numbers of the people on the bus before the 2:30 stop ?
Answer:
The actual number of passengers on the bus falling by 8 after the second stop
Step-by-step explanation:
Assume that the total passengers on the bus before 2:30 was x
At 2:30:
11 passengers got off and 8 got on.
So, the number of passengers
= x - 11 + 8
= x - 3
10 minutes later:
5 passengers got off the bus
So, the number of passengers
number of passengers = (x - 3) - 5
number of passengers = x - 8
now by comparing,
The actual number of passengers on the bus falling by 8 after the second stop
can someone please answer these 2
Answer:
the second one is C
Step-by-step explanation:
A girl’s club held a fundraiser last year and raised $600 for the local soup kitchen. This year they raised $960. What is the percent change in the total amount raised by the girl’s club?
The percent change is 0.38%.
The percent change is 0.6%.
The percent change is 38%.
The percent change is 60%.
Answer: option D
Step-by-step explanation:
Answer:
D.) The percent change is 60%
Step-by-step explanation:
I know this because 960-600= 360
360÷600= .6
.6= .60
.60= 60%
Hope this helped!!! :)
A preschool class has 14 girls and 10 boys. What is the ratio of boys to
the WHOLE class?
Answer:
10/24 or 5/12
Step-by-step explanation:
If you add both boys and girls you will get 24 which is the total students and the number of boys us 10 so it would be 10/24 or simplified would be 5/12.
:) Hope this helps
(1,9)
Write the interval as an inequality.
Answer:
1<x<9
Step-by-step explanation:
The parenthesis means that the inequality symbols are simply less than rather than less than or equal to. From there on, you just plug in the values on either side of x and you have your inequality.
Please, I need help!
The table above shows the number of trees and the number of apples that Jacob picked from each tree. Answer the following questions based on he table above
1. How many apples will Jacob pick from one tree. (calculate the unit rate).
2.Is there a proportional relationship between the number of trees and the number of apples Jacob picked? Explain using mathematical reasoning.
3. Using the unit rate, write an equation that Jacob can use to calculate how many apples he is able to pick from any tree.
4. Using your equation if Jacob had 25 trees, how many apples will he have.
1. in 1 tree, he will get 13 apples
2. yes there is a proportional relationship in the data because there are 13 apples per tree
3. y=13x (y represents the total of apples he can get in the number of trees he picked. x represents the number of trees)
4. if there were 25 trees, he would have picked 325 apples because
13*20 is 260
13*5 is 65
260+65 is 325
who ever answers i will give brainliest :>
Answer: a) 4 b) -3 c) 2
Step-by-step explanation:
a) m = (6 - 2)/(1 - 0) = 4
b) (0, 3), (1, 0)
m = (0 - 3)/(1 - 0) = -3
c) (1, 3), (2, 5)
m = (5 - 3)/(2 - 1) = 2
Help me solve this problem please
Answer:
-8
Step-by-step explanation:
[tex] \frac{8 - 2x}{12} = 2[/tex]
[tex]8 - 2x = 24[/tex]
[tex] - 2x = 16[/tex]
[tex]x = - 8[/tex]
8- 2x/12 = 2
Multiply both sides by 12:
8 - 2x = 24
Subtract 8 from both sides:
-2x = 16
Divide both sides by -2:
X = -8
Перечислите все целые числа, расположенные между числами –6,6 и –1,2.
Answer:
-6, -5, -4,-3,-2
Step-by-step explanation:
Целые числа - это просто целые числа, положительные или отрицательные. Целые числа - это числа без дробных частей. Целые числа от -6,6 до -1,2 следующие:
-6,-5,-4,-3,-2
Idk how to fill this in .
Answer:
3, 3, 6,9,12 if that's wrong try 3, 3, 6, 12, 36, 144
Step-by-step explanation:
you just multiply the numbers together to get your answer
Can someone please Help me. ( picture included)
Answer:
The height of the flagpole is 20 feet.
can anyone help me?
Answer:
Literally take your f(x) and - your g(x)
(x^2+9x+18) - (x + 6)
Remember to distribute the negative sign.
Find the unit rate. 13.00 for 2 books?
Answer:
= 6.5 dollars per book
Step-by-step explanation:
This is a fraction equal to
13 dollars ÷ 2 books
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 2.
Answer:
6.5 per book
divide 13 by 2
Step-by-step explanation:
The volume of a gas V held at a constant temperature in a closed container varies inversely with its pressure P. If the volume of a gas is 600 cubic centimeters (cc) when the pressure is 300 millimeters of mercury (mm hg) , find the volume when the pressure is 400 mm hg
Answer:
V₂ = 450 cm³
Step-by-step explanation:
The volume of a gas V held at a constant temperature in a closed container varies inversely with its pressure P.
[tex]V\propto \dfrac{1}{P}[/tex]
If V₁ = 600 cm³, P₁ = 300 mm hg, P₂ = 400 mm hg
We need to find a new volume. Using the above concept,
[tex]V_1P_1=V_2P_2\\\\V_2=\dfrac{V_1P_1}{P_2}\\\\V_2=\dfrac{600\times 300}{400}\\\\V_2=450\ cm^3[/tex]
So, when the pressure is 400 mm hg, its volume is 450 cubic centimeters
Please can anyone help me
Find the missing coordinate if the ordered pair is to be a solution to the given equation.
(-3, ?) for the equation 4x + y = 5
Answer:
17 (I think)
Step-by-step explanation:
substitue -3 in for x so 4(-3) + y = 5
-12+ y =5
+12 +12
y=17
Which expression is equivalent to 5 (h + 9)?
Answer:
5(m+9) = 5m+25
Answer:
5(m+9) = 5m+25
Step-by-step explanation:
durrrrrrrrrrrrrrr
PLEASE HELP ILL UP THE POINTS AND VOTE BRAINLIEST What is the equation of a line that has an undefined slope and passes through point (3,2)?
Answer:
x=3
Step-by-step explanation:
A line with an undefined slope is a vertical line where for each and every value of y ; x has the same value.
In this problem the x value is 3
Therefore the equation for the line is:
x = 3
What operation is happening in an additive pattern??
Multiplication
Subtraction
Addition
Division
Given: ΔABC, where AB = BC Prove: m∠BAC = m∠BCA Statement Reason 1. Let ΔABC be an isosceles triangle with AB = BC. given 2. Create point D on side so bisects ∠ABC. constructing an angle bisector 3. M∠ABD = m∠CBD definition of angle bisector 4. BD = BD Reflexive Property of Equality 5. ΔABD ≅ ΔCBD 6. M∠BAC = m∠BCA Corresponding angles of congruent triangles have equal measures. What is the reason for statement 5 in this proof? A. ASA B. SSS C. AAS D. SAS
Answer:
D. SAS
Step-by-step explanation:
Given: ΔABC
Bisecting <ABC to create point D implies that BD is a common side to ΔABD and ΔCBD.
Also,
m<ABD = m<CBD (angle bisector)
BA = BC (given property of the isosceles triangle)
Therefore,
ΔABD ≅ ΔCBD (Side Angle Side)
The reason for statement 5 in this proof is that ΔABD ≅ ΔCBD by SAS (Side-Angle-Side) relations of the congruent triangles.
Answer:
Option D is correct trust me
Step-by-step explanation:
pls help again (picture below)
Answer:
C 10 to the power of 7 equals 10,000,000 and x 3.45 = 3450000000
Step-by-step explanation:
A model of a rectangular patio and is a landscaping business will be enlarged by a scale factor of 2 when is installed in the customers backyard. The area of the new and larger I know they want to see square feet which is the area of the landscapers model
Answer:
The answer is "40 square feet".
Step-by-step explanation:
The formula of the area:
[tex]\bold{A = (2L \times 2W)}\\\\[/tex]
[tex]= 4LW \\\\[/tex]
if:
[tex]\to 4A = 160 \\\\[/tex]
[tex]= \frac{160}{4} \\\\ = 40 \ \ sq \ ft[/tex]
If you are given the graph of a line and are asked to write the equation of a
perpendicular line, does it matter what the y-intercept will be for the equation
you write? Explain why or why not.
Answer:
Yes
Step-by-step explanation:
It does matter because when it comes to perpendicular lines the equations for the lines with have opposite y-intercepts. So if you had y=2x +3 the perpendicular line would be y=-1/2x +3.
Yes, the y-intercept of the equation written does matter and can be determined if a point on the line is given.
According to the question;
We are required to determine; does it matter what the y-intercept will be for the equation you write when given the graph of a line and are asked to write the equation of a perpendicular line.Although, according to line geometry;
The slope of two perpendicular lines are related as follows;
m1 m2 = -1The y-intercept of the perpendicular line does matter when writing the equation of the line and can be determined if a point on the perpendicular line is given.
Read more;
https://brainly.com/question/13370039
*Eight is added to three times a number 'x' gives 15".
Answer:
x+8 =15
x=15-8
x=7 .
this is the answer
Answer:
3x + 8 = 15
(If you wanted to solve it then:) x = 7/3
Step-by-step explanation:
Let's convert that into an equation.
Let "x" be the number.
3x + 8 = 15
If the question was to answer it, look below:
3x + 8 = 15
3x = 7
x = 7/3
Hope this helped! If not, please let me know! <3