Answer:
The equation of the line is;
y = -2x + 2
Step-by-step explanation:
Here, we want to write the equation of the line that passes through the given points
The general form of the equation is
y = mx + b
where m is the slope of the line and b is the y-intercept of the line
Mathematically, to get the slope, we use the slope formula
m = (y2-y1)/(x2-x1)
(x1,y1) = (-2,6)
(x2,y2) = (3,-4)
m = (-4-6)/(3+2) = -10/5 = -2
So the equation is in the form;
y = -2x + b
To get b, we substitute any of the two points
6 = -2(-2) + b
6 = 4 + b
b = 6-4 = 2
The equation of the line is thus;
y = -2x + 2
Kam is trying to find the solution to the system below. Her steps are below as well.
What did kam do wrong?
Answer:
Step 4
Step-by-step explanation:
In step 4, instead of adding 22 to both sides of the equation to combine like terms, Kam got rid of it completely. Starting from step 3, here is the correct way of solving it:
[tex]7x-22=18[/tex]
Add 22 to both sides
[tex]7x-22+22=18+22\\7x=40[/tex]
Divide both sides by 7 to isolate x
[tex]\frac{7x}{7}=\frac{40}{7} \\x=\frac{40}{7}[/tex]
I hope this helps!
Answer:
In step 4, she forgot to add 22 to 18
Step-by-step explanation:
In step 4, she forgot to add 22 to 18
It should've been:
7x = 40
x = 40/7
3 (40/7) + 2y = 18
120/7 + 2y = 18
2y = 18 - 120/7
2y = 6/7
y = 3/7
RECREATION An instructor at a swimming pool asked her students if they would be interested in a n advanced swimming course, and 60% stated that they would. Is the sample method valid? If so, suppose there are 870 pool members. How many peoplecan theinstructorexpecttotakethecourse?
Please help me I will give you the brain thing and extra points please.
Which side lengths represent the sides of a right triangle?
A)1, 1, 2
B)2, 3, 5
C)3, 4, 5
D)5, 11, 13
Rearrange x=3g+2 to make g the subject
Step-by-step explanation:
Given
x = 3g + 2
Making g as a subject then
3g = x - 2
g = ( x - 2 ) / 3
Hope it will help :)❤
Answer:
g=(x-2)/3
Step-by-step explanation:
What does it mean to reason mathematically?
A window in the shape of a parallelogram has the dimensions given.
What is the area of this window?
20 ft²
24 ft²
28 ft²
40 ft²
i'll give brainlyist
Answer:
The answer is c, 28 ft! brainliest pls lol
Answer:
20ft
Step-by-step explanation:
I did the quiz and got it right :> (K12)
Write a function in any form that would match the graph shown below.
PLEASE HELP
Answer:
f(x)=ax^3+bx^2+cx+d
it is a cubic function
Step-by-step explanation:
How can you determine the number of solutions of a system of linear equations by inspecting its equations?
Step-by-step explanation:
To find - How can you determine the number of solutions of a system
of linear equations by inspecting its equations?
Proof -
There exists three types of solution for a system of linear equations.
1. No solution.
2. Unique solution.
3. Infinite many solutions.
Now,
Let the 2 linear equations are as follows :
y = ax + b
y = cx + d
1. For no solution -
a = c and b ≠d
For example-
y = -2x + 5
y = -2x - 1
Subtract first equation from second , we get
y - y = -2x - 1 - ( -2x + 5)
⇒0 = -2x - 1 + 2x - 5
⇒0 = -6
Not possible
So, There exist no solution.
2. For unique solution -
a ≠ c and b , d can be any value
For example -
If b and d are same ,
y = 2x - 4
y = -3x - 4
Subtract equation 1st from 2nd , we get
y - y = -3x - 4 - ( 2x - 4)
⇒0 = -3x - 4 - 2x + 4
⇒0 = -5x
⇒x = 0
⇒y = 2(0) - 4 = -4
∴ we get
x = 0, y = -4
If b and d are different
y = 2x - 4
y = -3x + 5
Subtract equation 1st from second
y - y = -3x + 5 - 2x + 4
⇒0 = -5x + 9
⇒-5x = -9
⇒x = [tex]\frac{9}{5}[/tex]
⇒y =2([tex]\frac{9}{5}[/tex]) - 4 = [tex]\frac{18}{5} - 4 = \frac{18 - 20}{5} = -\frac{2}{5}[/tex]
∴ we get
x = [tex]\frac{9}{5}[/tex] , y = [tex]-\frac{2}{5}[/tex]
3. Infinitely many solution -
a = c and b = d
For example -
y = -4x + 1
y = -4x + 1
Subtract equation first from equation second
y - y = -4x + 1 - ( -4x + 1)
⇒0 = -4x + 1 + 4x - 1
⇒0 = 0
Satisfied
So, Infinite many solution possible.
Just a random question for points.
Would you rather get a 21/50 or a 23/33
Do the math and see where the decimals take you, then answer.
Answer:
0.42
Explanation:
21/50= 0.42
22/33=0.667766,7
Therefore, 0.42 is the less equaled answer
Please give A 5.0 score and braniest!
Hopefully this helps!❤
if a point a device line segment a b of length 10 centimetre internally In the ratio 2:3 then find the length of a d
Given:
Consider a point d divides line segment ab of length 10 centimetre internally in the ratio 2:3.
To find:
The length of ad.
Solution:
If a point d divides line segment ab internally in the ratio 2:3, then the length of ad and db are 2x and 3x receptively.
We know that,
[tex]ab=ad+db[/tex]
Length of the segment ab is 10 cm.
[tex]10=2x+3x[/tex]
[tex]10=5x[/tex]
Divide both sides by 5.
[tex]2=x[/tex]
Now,
[tex]ad=2x[/tex]
[tex]ad=2(2)[/tex]
[tex]ad=4[/tex]
Therefore, the length of segment ad is 4 centimetres.
someone help please!
Answer:
BC ≈ 14.7 m
Step-by-step explanation:
Using the Sine rule in Δ ABC
[tex]\frac{AB}{sinC}[/tex] = [tex]\frac{BC}{sinA}[/tex]
To find ∠ A subtract the 2 given angles from 180°
∠ A = 180° - (90 + 28)° = 180° - 118° = 62°
Then
[tex]\frac{7.8}{sin28}[/tex] = [tex]\frac{BC}{sin62}[/tex] ( cross- multiply )
BC × sin28° = 7.8 × sin62° ( divide both sides by sin28° )
BC = [tex]\frac{7.8sin62}{sin28}[/tex] ≈ 14.7 m ( to 3 significant figures )
Please give me the correct answer.Only answer if you're very good at math.
Answer:
45m - 900 = 90m
Answer:
First box 45, second box 900, third box 90
Step-by-step explanation:
0.45 x 100 = 45
9 x 100 = 900
0.9 x 100 = 90
PLEASE FOR BRAINLIEST!! which statements describe one of the transformations performed on f(x)=x^2 to create g(x)=(x-2)^2+5? choose all that apply.
Answer:
A translation of 5 units up
and
A translation of 2 units to the right
Step-by-step explanation:
an airplane takes off at an angle of elevation of 23 degrees when it has traveled 800 ft horizontally how many feet has it traveled
Answer:
Step-by-step explanation:
expand and simplify 5(2-1)+2(3x-6)
Answer:
6x-7
Step-by-step explanation:
Answer:
[tex]6x - 7[/tex]
Step-by-step explanation:
1) Simplify 2-1 to 1.
[tex]5 \times 1 + 2(3x - 6)[/tex]
2) Simplify 5 × 1 to 5.
[tex]5 + 2(3x - 6)[/tex]
3) Expand by distributing terms
[tex]5 + 6x - 12[/tex]
4) Collect like terms.
[tex]6x + (5 - 12)[/tex]
5) Simplify.
[tex]6x - 7[/tex]
So, therefor, the answer is 6x - 7.
XZW XYV find the perimeter of XZW?
PLS HELP
9514 1404 393
Answer:
180 units
Step-by-step explanation:
The perimeter of ∆XYV is ...
Pxyv = XY +YV +VX
Pxyv = 29 +31 +40 = 100
The triangles are similar, so the scale factor from ∆XYV to ∆XZW applies to the perimeter. That scale factor is ...
WX/VX = (32+40)/40 = 1.8
Then ...
Pxzw = 1.8 × Pxyv = 1.8 × 100
Pxzw = 180 . . . units
can some help me pick the right answer for (9 + t) /12 = -3
45
-45
36
-36
Answer:
(9 + t)/12=-3
(9-45)/12
-36/12
= -3
answer = -45
Rewrite the following expression using exponents
1/16
Answer:
6.25 * 10^-2
Step-by-step explanation:
hmmmmmmmmm
Will give brainliest
Find the degree of the monomial. -4/9
Answer:
(=3+2) .
Step-by-step explanation:
The degree of a monomial is the sum of the exponents of all its variables. Example 1: The degree of the monomial 7y3z2 is 5(=3+2) .
The present age of the father and his son is 32 years and 7 years respectively.
7
Find how many years ago the product of their age was 116.
product of the present age of their
Answer:
ok so im so confused but like you know i tried and i got this:
X years ago, the father’s age and the son’s age would be (32 - x) and (7 - x) years old.
(32 - x)(7 - x) = 116
(x - 32)(x - 7) = 116
x^2 - 39x + 224 = 116
x^2 - 39x + 108 = 0
(x - 3)(x - 36) = 0
x = 3, 36
But (32 - x) > 0, so x does not equal to 36.
x = 3
3 years ago, the father would be 29 years old, and the son 4 years old.
i know it sounds crazy but i think its wrong lol
what is the product of (1.9*10^-3)(2*10^4)
Answer:
to solve use the distributive property and multiply
Step-by-step explanation:
I'm sorry I do not have the product
whats the scale factor
Answer:
2 1/12
Hope that helps!
Step-by-step explanation:
Answer:
2.5
Step-by-step explanation:
Follooww me on iiii---nnnn---sss--tttt--aa---ggg--rrr--aaa---mmm-
i-n--s-t-a-g-r--a==m
Stewart.lil2-----
Answer:
ok sure
Step-by-step explanation:
HELP ME PLS I REALLY NEEDD HELP!!!! MATH IS HORRIBLE
pls number them like
1.
2
3.
4.
5.
help!
lol
Answer:
Question 1
Option 2 is the correct answer
y = x - 55/ x=255
Question 2:
Last option is the correct answer
n = b + 2/ b= 5
Step-by-step explanation:
Question 1
The given information can be framed into the Mathematical form as given below:
No of cards = x
Cards given to brother = 55
Remaining cards = x - 55
Total number of cards = y
y = x - 55
Plug y = 200
200 = x - 55
20. + 55 = x
x = 255
y = x - 55/ x = 255
Question 2:
Total number of shirts bought
n = b + 2
Plug n = 7
7 = b + 2
7 - 2 = b
b = 5
n = b + 2/ b = 5
A concession stand sells smoothies. At the end of the day they had sold 14 strawberry,
18 banana, 8 grape, and 6 orange. Tell which ratio is greater, strawberry to orange or
banana to grape.
A. Banana to grape
B. Strawberry to orange
Answer:
A. Banana to grape this should be right
A hotel currently has enough room to accommodate at most 200 guests per night. It plans to expand its capacity by 12 guests every year. To make a profit, the hotel must have at least 40 guests staying in the hotel. The hotel manager expects that threshold to increase by 10% every year.
The manager modeled this situation with a system of linear inequalities, where x is the time from today, in years, and y is the number of guests. Which ordered pairs represent viable solutions of this system?
Answer:
(20,280) and (10,300)
Step-by-step explanation:
It was the correct answer on the practice question
Answer:
Edmentum/Plato
The sum or three consecutive odd numbers is 51. Find the numbers
Answer:
let the three no. be x, x+2, x+4
so, x+x+2+x+4= 51
3x+6= 51
3x=45
x=15
hence the required numbers are
x=15
x+2= 17
x+4=19
The sum of two numbers is 38. The larger number is 8 more than the smaller number, What are the numbers?
Larger number:
Smaller number.
Answer:
Larger number: 23
Smaller number. 15
Step-by-step explanation:
y = x - 8
x + y = 38
substitute for y:
x + x - 8 = 38
2x = 46
x = 23
y = 15
Answer: Larger number: 23
Smaller number: 15
Step-by-step explanation:
let x be the smaller number, then the larger number would be x+8
x + (x + 8) = 38
2x + 8 = 38
2x = 30
x = 15
larger number = x + 8 = 15 + 8 = 23
there are 40 students on a swim team.The coach needs to rent vans to take the team to a swimming competition.Each van can take 6 swimmers. how many vans will the coach need for 40 students.
Answer:
They will need 7 vans.
Answer:
The answer is 7 vans
Step-by-step explanation:
Divide 40/6
you get 6.6 so you just round up to 7.
The 7th bus will have less passengers but that is how many you will need for everyone to fit
Hope that helps