Answer:
x = [tex]\frac{y+c}{m}[/tex]
Step-by-step explanation:
Making it the subject means "setting the equation equal to it"
y = mx – C
y + c = mx
[tex]\frac{y+c}{m}[/tex] = x
x = [tex]\frac{y+c}{m}[/tex]
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Answer:
y=mx+c
⟹(y)−c=(mx+c)−c
⟹y−c=mx+(+c−c)
⟹y−c=mx+0
⟹y−c=mx
⟹mx=y−c
⟹mx×(1m)=(y−c)×(1m)
⟹x×(mm)=1m(y−c)
⟹x×1=1m(y−c)
⟹x=1m(y−c)
Step-by-step explanation:
Which of the binomials below is a factor of this trinomial?
x² + x -20
O A. X+ 2
O B. X+4
O C. X-4
O D. X-2
Answer:
C. X-4
Step-by-step explanation:
x^2+x-20
=(x-4)(x+5)
Answer:
C.
Step-by-step explanation:
Sorry I Can't explain because I'm busy right now
Sub :- Linear Equations
Hiiiiiiiiiiiii
The value of x is 1 & y is 2 (a).
Steps are attached.
______
꧁✿ ᴿᴬᴵᴺᴮᴼᵂˢᴬᴸᵀ2222 ✬꧂
A vector is in standard position, with its terminal point in the second quadrant and an x-coordinate of –5. The vector has a magnitude of StartRoot 61 EndRoot.Complete the statements describing the vector. The y-coordinate of the vector to the nearest tenth is . The direction angle to the nearest whole number is °.
a.
The y-coordinate of the vector with its terminal point in the second quadrant is 6.
The magnitude of the vector, r = √(x² + y²) where x = x-coorcinate of vector = -5 and y = y-coordinate of vector.
Since r = √61 and r = √(x² + y²)
Making y subject of the formula, we have
y = √(r² - x²)
Substituting the values of the variables into the equation, we have
y = √((√61)² - (-5)²)
y = √(61 - 25)
y = ±√36
y = ±6
Since r is in the second quadrant, its y-coordinate is positive.
So, y = 6
So, the y-coordinate of the vector with its terminal point in the second quadrant is 6.
b.
The direction angle of the vector with its terminal point in the second quadrant is 130°
The direction angle of the vector is gotten from tanФ = y/x
Subsstituting x and y into the equation, we have
tanФ = y/x
tanФ = 6/-5
tanФ = -1.2
tan(180° - Ф) = 1.2
Taking inverse tan of both sides, we have
180° - Ф = tan⁻¹(1.2)
180° - Ф = 50.2°
Ф = 180° - 50.2°
Ф = 129.8°
Ф ≅ 130° to the neares whole number
The direction angle of the vector with its terminal point in the second quadrant is 130°.
Learn more about vectors here:
https://brainly.com/question/18478651
Answer:
first one is 6.0 and the second is 130
Step-by-step explanation:
8i
−8
8i2
−8i
NO LINKS
Answer:
Step-by-step explanation:
x² = -64
= -1 · 64
Using -1 = i²:
x² = 64 · i²
Using 64 = 8²:
x² = 8² · i²
= (8·i)²
Taking the square root of both sides:
x = 8i
Someone please solve and explain part a(i)
Step-by-step explanation:
the way I understand the description :
C is below B. they are on a kind of straight hill, and there is a straight "road" going up from C to B.
then, at B there is an antenna or other firm of mast going straight up.
therefore, this is not a right-angled triangle with 90 degrees at B (as it would be, if this would be in a flat plane).
but because it goes downhill from B to C the angle is 105 degree.
(a)(i)
now, imagine, there would be a horizontal plane either at B or at C. AB would have a true 90 degree angle with this plane. so, what is the angle of CB with this plane ?
this angle is the "excess" of the 90 degrees, as CB angles down from the horizontal plane at B, or angles up with the same angle from the horizontal plane at C.
what is the "excess" of 105 degrees vs. the standard 90 degrees ? 105 - 90 = 15 degrees.
(a)(ii)
the extended Pythagoras for not right-angled triangles :
c² = a² + b² - 2ab×cos(B)
B being the angle opposite of the Hypotenuse c.
so, we have
c² = 15² + 10² -2×15×10×cos(105) = 225 + 100 - 300×cos(105) =
= 325 - 300×cos(105) = 402.6457135...
c = 20.06603383... ≈ 20 m
HELP ASAP PLEASE!!!!!!
Answer:
B
Step-by-step explanation:
In a function, every x-coordinate must be a different number.
If the same number appears more than once as an x-coordinate, it is not a function.
Answer: B
The sum of two consecutive even numbers is 54 find the answer
Answer:
26, 28
Step-by-step explanation:
2n , 2n + 2
2n + 2n + 2 = 54
4n + 2 = 54
4n = 52
n = 13
2n = 26
2n + 2 = 28
Answer:
26 and 28Step-by-step explanation:
The sum of two consecutive even numbers is 54 find the answer
(54 - 2) : 2 = 26
26 + 2 = 28
----------------------
check
26 + 28 = 54
Ivan put 500 000ISK (Icelandic Krona) and Blake put 700 000ISK into savings accounts
at different banks.
After 8 years, Ivan and Blake have the same amount of money in their accounts.
They both receive interest compounded quarterly and Blake has an annual interest rate
that is half of Ivan's annual interest rate.
Work out the annual interest rate that Blake receives.
Using compound interest, it is found that Blake receives an annual rate of 4.27%.
Compound interest:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
A(t) is the amount of money after t years. P is the principal(the initial sum of money). r is the interest rate(as a decimal value). n is the number of times that interest is compounded per year. t is the time in years for which the money is invested or borrowed.Ivan's parameters are given by:
Put 500 000 ISK, hence [tex]P = 500000[/tex]8 years, hence [tex]t = 8[/tex]Quarterly compounding, hence [tex]n = 4[/tex]Interest rate of r.Hence:
[tex]A_i(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
[tex]A_i(t) = 500000\left(1 + \frac{r}{4}\right)^{32}[/tex]
[tex]A_i(t) = 500000(1 + 0.25r)^{32}[/tex]
Blake's parameters are given by:
Put 700 000 ISK, hence [tex]P = 700000[/tex]8 years, hence [tex]t = 8[/tex]Quarterly compounding, hence [tex]n = 4[/tex]Interest rate that is half of Ivan's, hence [tex]\frac{r}{2}[/tex]Thus:
[tex]A_b(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
[tex]A_b(t) = 700000(1 + 0.125r)^{32}[/tex]
These amounts are equal, hence:
[tex]A_i(t) = A_b(t)[/tex]
[tex]500000(1 + 0.25r)^{32} = 700000(1 + 0.125r)^{32}[/tex]
[tex]\left(\frac{1 + 0.25r}{1 + 0.125r}\right)^{32} = \frac{700000}{500000}[/tex]
[tex]\left(\frac{1 + 0.25r}{1 + 0.125r}\right)^{32} = \frac{7}{5}[/tex]
[tex]\sqrt[32]{\left(\frac{1 + 0.25r}{1 + 0.125r}\right)^{32}} = \sqrt[32]{\frac{7}{5}}[/tex]
[tex]\frac{1 + 0.25r}{1 + 0.125r} = \left(\frac{7}{5}\right)^{\frac{1}{32}}[/tex]
[tex]\frac{1 + 0.25r}{1 + 0.125r} = 1.01057023172 [/tex]
[tex]1 + 0.25r = 1.01057023172 + 0.12632127896r[/tex]
[tex]0.12367872103r = 0.01057023172 [/tex]
[tex]r = \frac{0.01057023172}{0.12367872103}[/tex]
[tex]r = 0.0854[/tex]
Blake's rate is:
[tex]\frac{r}{2} = \frac{0.0855}{2} = 0.0427[/tex]
Blake receives an annual rate of 4.27%.
A similar problem is given at https://brainly.com/question/24507395
in the equation 3(x-1)=2x+c for what value of c will x=3? explain your reasoning.
Answer:
0
Step-by-step explanation:
if x is 3 then;
3(3-1)=2×3+c
c=0
so if c=0 then
x=3
The circumference of a circle is increasing at a rate of pi over 2 m/h at a certain instant the circumference is 12 pi meters what is the rate of change of the area of the circle at that instant in square meters per hour
Answer: 3pi
Step-by-step explanation:
Guessed and it was right, sorry don’t have an explanation.
The rate of change of the area of the circle at that instant in square meters per hour will be 3π.
What is the rate of change?The pace at which one quantity changes in relation to another is known as the rate of change function.
Given that the circumference of a circle is increasing at a rate of π / 2 m/h at a certain instant the circumference is 12 π meters.
The rate of change of circumference will be calculated as,
dc/dt = π/2
d (2πr)/ dt = π / 2
dr / dt = 1 / 4
The rate of change in the area,
A = πr²
dA / dt = ( 2πr ) dr / dt
dA/dt = 12π x ( 1 / 4)
dA/dt = 3π
Therefore, the rate of change of the area of the circle at that instant in square meters per hour will be 3π.
To know more about rate of change follow
https://brainly.com/question/14282291
#SPJ2
How to reduce decimals to fractions.
Decimals can be written in fraction form. To convert a decimal to a fraction, place the decimal number over its place value. For example, in 0.6, the six is in the tenths place, so we place 6 over 10 to create the equivalent fraction, 6/10. If needed, simplify the fraction.
Please help me solve this... I will mark you brainliest if it’s correct
the repayment on a loan was Php 23600. If the loan was for 18 months at 12% interest in year, how much was the principal?
If the repayment on a loan was Php 23600, the principal amount is equal to Php 131,111.11.
Given the following data:
Interest rate = 12%Simple interest = Php 23600Time = 18 monthsConversion:
12 months = 1 year
18 months = 1.5 year
To calculate the principal amount if the interest rate is 12% a year:
Mathematically, simple interest is given by the formula:
[tex]S.I = \frac{PRT}{100}[/tex]
Where:
S.I is the simple interest.P is the principal amount.R is the interest rate.T is the time measured in years.Making P the subject of formula, we have:
[tex]P = \frac{100S.I}{RT}[/tex]
Substituting the given parameters into the formula, we have;
[tex]P = \frac{100 \times 23600}{12 \times 1.5}\\\\P = \frac{2360000}{18}[/tex]
Principal amount, P = Php 131,111.11
Read more: https://brainly.com/question/22621039
18. Write the equation of the following line in function notation
Answer:
[tex]\LARGE\mathsf{f(x)\:=-\frac{3}{4}x\:+\:-\frac{5}{4}}[/tex]
Step-by-step explanation:
Slope:Given the two points from the graph, (-3, 1) and (1, -2). Use these points to solve for the slope using the following formula:
[tex]\LARGE\mathsf{m = \frac {(y_2\: -\: y_1)}{(x_2\: -\: x_1)}}[/tex]
Let (x₁, y₁) = (-3, 1)
(x₂, y₂) = (1, -2)
Substitute these points into the formula:
[tex]\LARGE\mathsf{m = \frac {(y_2\: -\: y_1)}{(x_2\: -\: x_1)}}[/tex]
[tex]\LARGE\mathsf{m = \frac {-2\: -\: 1}{1\: -\: (-3)}\:=\:\frac {-2\: -\: 1}{1\: +\:3}\:=\frac{-3}{4}}[/tex]
m = -¾
Therefore, the slope of the given line is -¾.
Y-intercept:Next, we need to determine the y-intercept, which is the point on the graph where it crosses the y-axis. In order to solve for the y-intercept, we must use the slope, m = -¾, and one of the given points, (1, -2), and substitute these values into the slope-intercept form, f(x) = mx + b:
f(x) = mx + b
-2 = -¾( 1 ) + b
-2 = -¾ + b
Add ¾ to both sides to solve for b:
-2 + ¾ = -¾ + ¾ + b
[tex]\LARGE\mathsf{y-intercept\:(b)\:=\:-\frac{5}{4} }[/tex]
Equation of the Line in Function Notation:Given the slope, m = -¾, and y-intercept, b = [tex]\LARGE\mathsf{-\frac{5}{4}}[/tex], the equation of the line in function notation is:
[tex]\LARGE\mathsf{f(x)\:=-\frac{3}{4}x\:+\:-\frac{5}{4}}[/tex]
(4 x 100,000) + (6 x 10.000) =
Answer:
answer is 400060
have a good day!!
If it's help pls give me Brainliest
tysm
Answer:
4000,060
answer explanation : when you add 4 times 100,000 ypu get 400,000 and now you get 400,000 and now you are going to muptiple 4,000,6 and 10.000 which is equal to 4,000,060
Julie spent $15 on 3 headbands. Mary spent $48 on 8 headbands. How much more
did Mary spend per headband?
$5.50
$1
$2.13
$4
Based on the information given, the amount of money that Mary will spend more for the headband will be $1.
Since Julie spent $15 on 3 headbands, the amount per headband will be:
= $15/3 = $5
Since Mary spent $48 on 8 headbands, the amount per headband will be:
= $48/8 = $6
Therefore, we can then calculate the difference between the values that are gotten. This will be:
= $6 - $5 = $1
Therefore, the difference is $1.
Learn more about division on:
https://brainly.com/question/24429956
write 3 example of quantities or things you know, or you have experienced within your community that show different types of variation.
Answer:
Type of variation
1) Direct variation
Simple equation y=Kx
Y varies directly with x
Practical example-
Radius of the circle lit by a car's
Light decreases (y) as the distance away from the garage decreases (c)
2) Inverse variation
Simple equation y=k/x
Y inversely with c
Example- the brightness of a car's light increase (y) as the distance away from the garage decreases (x)
3) Joint variation
Simple equation y=kxz
Y varies jointly with x and z
Example-The heat lose through a glass window (y) varies jointly with the area of the window (x) and the temperature differences between inside and outside
Step-by-step explanation:
(ASAP) i also need help with this plss
Answer:
The right answer is 32
Step-by-step explanation:
3/4 × 32 = 24
Answer:
18
Step-by-step explanation:
divide 24 by 4 which gives you 6. Multiply 6 by 3 which gives you 18 or (3÷4) × 24 = 18
GEOMETRY please help !
Step-by-step explanation:
A.
The incorrect statement in Triangle A is B
It is not a equilateral triangle. It is a isosceles triangle
B.
The incorrect statement in Triangle B is C
The missing angle is not 158. It is 68
C.
The incorrect statement in Triangle C is C
The missing angle is not 72 it is 36
Factor the trinomial
10x^2+11X-6
Answer:
The expression is not factorable with rational numbers.
10x2+11X−6
Step-by-step explanation:
PLS Brainliest
What is the slope for this table?
=======================================================
Explanation:
Pick any two rows you want. I'll pick the middle two rows where every value is positive. So I'll pick these two rows:
x = 0 and y = 4x = 1 and y = 1They lead to the points (0,4) and (1,1). Apply the slope formula for these rows.
m = (y2-y1)/(x2-x1)
m = (1-4)/(1-0)
m = -3/1
m = -3
The slope is -3
Answer:
is not proportional
Step-by-step explanation:
10/-2= -5
7/-1=-7
4/0=0
1/1=1
-2/2=-1
-5/3= -1 2/3
Find the area of triangle PQR.
Answer:
70°
Step-by-step explanation:
Since PTS shape is equal to QTR
and PTQ shape is equal to STR
and Since QTP = 10
and Since PTS = 60
Add both up 70
Therefore PQR = 70°
help help help help help
Answer:
2
Step-by-step explanation:
Solve for bb.
42=42+9b
Answer:
0
Step-by-step explanation:
42=42+9b
We move all terms to the left:
42-(42+9b)=0
We add all the numbers together, and all the variables
-(9b+42)+42=0
We get rid of parentheses
-9b-42+42=0
We add all the numbers together, and all the variables
-9b=0
b=0/-9
b=0
- You find a recipe for cookies. You want
to know how much sugar is in each cookie.
The recipe uses 3/4 cup of sugar and makes
one-dozen cookies. Find the amount of sugar
per cookie. Show unit rate work. Use fractions
not decimals.
Answer:
1/16
Step-by-step explanation:
3/4 ÷ 12
3/4 x 1/12
3/48 or 1/16
Hope this helps!
Answer:
1/16
Step-by-step explanation:
recipe uses 3/4 cup of sugar for one dozen cookies
3/4 cup ------ 12 cookies
x ------- 1 cookie
x * 12 = 3/4
x = 3/4 / 12
x = 3 / (4*12)
x = 1 / 4*4
x = 1/16
Jon ate 1/3 of a bag of candies and Monica ate 1/4 of the bag. What fraction of the bag of candies did they eat?
Answer:
13 AND 14
Step-by-step explanation:
THERE IS NO PICTURE OR ANY ANSWERS
What is the slope of the line that passes through the points (-6, -8)and (-14, 4) ? Write your answer in simplest form.
Answer:
Slope = -3/2
Step-by-step explanation:
[tex]Slope = \frac{Change -in -y}{Change- in -x}\\\\\\\\Slope = \frac{-8 - 4}{-6 - (-14)}[/tex]
[tex]Slope = \frac{-12}{8}\\\\\\Slope = \frac{-3}{2}\\\\[/tex]
-Chetan K
You have 20 quarters. You find 40% more in your room. Then you go to the store and spend 50% of them. How much money do you have left? please answer the question without a link
Answer:
14
Step-by-step explanation:
First fond 40% of 20
20×40/100 = 8
So now there is a total of 20+8 =28
At the store you spend exactly half
28×50/100 =14
So now you are left with 28-14 =14
100 POINT!!!!! NEED HELP ASAP
Show that (a + bi)^2 = (a + b)(a − b) + 2abi
Answer:
Step-by-step explanation:
(a + bi)^2 = (a + b)(a − b) + 2abi
= a² + (bi)² + 2 * a * bi
= a² + b²i² + 2abi
= as i² = -1
= a² - b² + 2abi
= (a + b) (a - b) + 2abi
Answer: This is what I turned in and it was right :)
Step-by-step explanation:
(a + bi)^2 = (a + b)(a − b) + 2abi
= a² + (bi)² + 2 * a * bi
= a² + b²i² + 2abi
= as i² = -1
= a² - b² + 2abi
= (a + b) (a - b) + 2abi
Using this plot of annual peak discharge, what is the probability each year that a flood of 1,000 cubic meters per second will occur
Using the plot, it is found that there is a 10% probability each year that a flood of 1,000 cubic meters per second will occur.
The question is incomplete, but the plot can be found on the internet.On the x-axis, it is given the probability of a flood of of y cubic meters per second.When y = 1,000, we have that x = 10%, hence, there is a 10% probability each year that a flood of 1,000 cubic meters per second will occur.
A similar problem is given at https://brainly.com/question/25757416