This is equivalent to y = 3x+4 (slope intercept form)
By "standard form", I mean the form Ax+By+C = 0.
====================================================
Explanation:
Let's solve the first equation for y
x+3y-4 = 0
x+3y = 4
3y = 4-x
3y = -x+4
y = (-x+4)/3
y = (-x/3) + (4/3)
y = (-1/3)x + (4/3)
The equation is now in y = mx+b form, aka slope intercept form, with m = -1/3 as the slope and b = 4/3 as the y intercept. We'll focus on the slope.
Apply the negative reciprocal to this so that we go from -1/3 to +3/1 or simply 3. Flip the fraction and the sign. Note how -1/3 and 3 multiply to -1. Perpendicular slopes always multiply to -1, assuming neither line is vertical.
So this mystery perpendicular line we're after has a slope of 3.
It has the same y intercept as 2x+5y-20 = 0. Plug in x = 0 and solve for to determine the y intercept.
2x+5y-20 = 0
2(0)+5y-20 = 0
5y-20 = 0
5y = 20
y = 50/5
y = 4
The y intercept of 2x+5y-20 = 0 is y = 4, so it's also the y intercept of our final answer. Let b = 4.
-------------------------------------
We found that:
m = 3 is the slope of the perpendicular lineb = 4 is the y intercept of the perpendicular lineSo we know that,
y = mx+b
y = 3x+4
is the slope intercept form of the answer. Since your teacher gave you the equations in standard form (one version of it anyway), let's convert y = 3x+4 to that form as well
y = 3x+4
y-3x = 4
-3x+y = 4 .... one way to express standard form
-3x+y-4 = 0 .... another standard form
Some math textbooks use Ax+By = C as standard form, while others use Ax+By+C = 0. Unfortunately, it's a bit confusing because the same phrasing is used.
HELPP PLZZ
ASAP TYYY
Yes, this parabola is a function because it passes the vertical line test!
The vertical line test is a test where you move left to right over a graph, and look to see if there are any instances where the vertical line touches two points at the same time. If not, then the graph is a function!
Hope this helps!! :)
Andrew is thinking of a number. 30 more than 10 times a number is 90. Find Andrew's number.
Answer:
Step-by-step explanation:
90 = 10x+30
60 = 10x
6 = x
SOMEONE HELP ME WITH 13 and 14 please!!!! Will make
U brainlist!!!
Answer:
here u go
Step-by-step explanation:
and here is 8 and 9
solve -2 1/3 - (-5)=
A: 2 2/3
B: 3 2/3
C: 3 1/3
D: -7 1/3
Answer:
A. [tex]2\frac{2}{3}[/tex]
Step-by-step explanation:
[tex]-2\frac{1}{3} -(-5)[/tex]
[tex]-2\frac{1}{3} +5[/tex]
Solve for x if:
y = 7
x = 5y + 2
Solve for y if:
k = 2
8k - 3y 10
Solve for y if:
m = 3
y = 5x - 15
Solve for x and y if:
y = -3x + 9
y = 8x - 2
Answer:
Step-by-step explanation:
Please the number given in place of its letter in your equation
x = 5y + 2 if y = 7
x = 5*7 + 2
x = 35 + 2
x = 37
Apply the same principle to the others
PLEASE HELP 30 POINT AND BRAINLIEST
Answer:
first is 2 second is 3
Step-by-step explanation:
Calculate the volume of the cylinder
Answer:
4^4 = 16 (we square our radius when finding area)
16 x 3.14(we then multiply the squared radius with pi so we could get the complete area) = 50.24
Now we multiply the area of one circle by the height to get the PRISM'S volume.
50.24(area) x 13(height) = 653.12 cm^3 is your answer.
F(x)=3x^2+2 the quadratic function g(x) is the function f(x) stretched vertically by a factor of 4. Enter the equation of g(x) in the box
Answer:
g(x) = 12*x^2 + 8
Step-by-step explanation:
For a function f(x), a vertical stretch of scale factor k is defined as:
g(x) = k*f(x)
In this case, we know that f(x) = 3*x^2 + 2
And the function g(x) is the function f(x) vertically stretched by a factor of 4, then we have k = 4
and:
g(x) = 4*f(x)
Replacing by the actual function, we get
g(x) = 4*(3*x^2 + 2)
g(x) = 4*3*x^2 + 4*2
g(x) = 12*x^2 + 8
I need help please it would really help
Answer:
B
Step-by-step explanation:
V = 4/3 * radius^3 * pi = 4/3 * 4^3 * pi = 256 /3 * pi
How how how how how how answers plz
9514 1404 393
Answer:
a) 540°
b) 720°
c) 900°
d) 1440°
Step-by-step explanation:
The total measure of internal angles of a convex polygon is given by the formula ...
sum of angles = 180°(n -2) . . . . for an n-sided polygon
So, you count the sides, subtract 2, and multiply that result by 180°.
__
a) 180°(5 -2) = 540°
b) 180°(6 -2) = 720°
c) 180°(7 -2) = 900°
d) 180°(10 -2) = 1440°
Multiply 81.5 and 3.5
Answer:
285.25
Step-by-step explanation:
Basically we multiply them as normal numbers so,
815*35 = 28525
Then we take the amount of spots each number had to the RIGHT of the decimal point
81.5 = 1
3.5 = 1
1+1= 2
So: 28525. move to the left 2 times to get 285.25
Which is true given the linear equation below?
3x+4y=4
Answer:
y= −3/4x + 1
x= -4/3y + 4/3
Step-by-step explanation:
Let's solve for y.
3x+4y=4
Step 1: Add -3x to both sides.
3x+4y+−3x=4+−3x
4y=−3x+4
Step 2: Divide both sides by 4.
4y4=−3x+44
y=−34x+1
___________
Let's solve for x.
3x+4y=4
Step 1: Add -4y to both sides.
3x+4y+−4y=4+−4y
3x=−4y+4
Step 2: Divide both sides by 3.
3x3=−4y+43
x= -4/3y + 4/3
math papa algebra caculator, thank me later
A 41 gram sample of a substance that's used to detect explosives has a k-value of 0.1392. Find the substance's half life, in days.
Answer:
The substance half-life is of 4.98 days.
Step-by-step explanation:
Equation for an amount of a decaying substance:
The equation for the amount of a substance that decay exponentially has the following format:
[tex]A(t) = A(0)e^{-kt}[/tex]
In which k is the decay rate, as a decimal.
k-value of 0.1392.
This means that:
[tex]A(t) = A(0)e^{-0.1392t}[/tex]
Find the substance's half life, in days.
This is t for which [tex]A(t) = 0.5A(0)[/tex]. So
[tex]A(t) = A(0)e^{-0.1392t}[/tex]
[tex]0.5A(0) = A(0)e^{-0.1392t}[/tex]
[tex]e^{-0.1392t} = 0.5[/tex]
[tex]\ln{e^{-0.1392t}} = \ln{0.5}[/tex]
[tex]-0.1392t = \ln{0.5}[/tex]
[tex]t = -\frac{\ln{0.5}}{0.1392}[/tex]
[tex]t = 4.98[/tex]
The substance half-life is of 4.98 days.
What is the amplitude of the graph of y = 2 sin (4x – 1) + 3?
A. 1
B. 3
C. 2
D. 4
Answer: 2 is the answer
Step-by-step explanation:
Can some one help me answer all ten questions they are due at 10:00 I will give out brainly. Part 3 Bonus question
Answer:
226
Step-by-step explanation:
Area of rectangle:
x+6=17
x=11
11+6=17
11+3=14
17×14=238
Area of triangle:
[tex] \frac{1}{2} \times b \times h[/tex]
Use phytagoras theorem to find the base of the triangle:
c²=a²+b²
5²=4²+b²
25=16+b²
b²=25-16
b²=9
b=√9
b=3 (only the half)
b=6 (the whole base)
[tex] \frac{1}{2} \times 6 \times 4[/tex]
3×4
12
Shades region:
238-12
=226
Determine whether a triangle with the given side lengths is a right triangle.
Answer:
1. Right Triangle
2. Right Triangle
3. Not a Right Triangle
4. Not a Right Triangle
Courtney would like to buy a new phone for $680. So far, she has saved $240. If she earns $8 an hour
babysitting, how many hours will she need to work to be able to buy the phone?
Answer:
she will need to work for 55 hours to buy the phone
Step-by-step explanation:
680 - 240 = 440
that's how much more she needs
449 ÷ 8 = 55
and that's the answer
55
hope that helped
Answer:
55 hours
Step-by-step explanation:
Well first we need to set up the equation
We know she needs 680$ to buy the phone so the equation must be equal to 240
She has 240 and earns 8 dollars per hr so were finding out how many hours of work is needed to be able to buy the phone
Represent the number of hours worked by "x"
Set the equation up as
240 + 8x = 680
Add -240 to both sides of the equation to make 240 be 0 and 680 be 440
8x = 440
divide both sides of equation by 8 to get what x equals
x=55
She needs to work 55 hours
On Sunday, the wind chill temperature reached −36 °F. On Monday, the wind chill temperature only reached 1 4 of Sunday's wind chill temperature. What was the lowest wind chill temperature on Monday? A −144 °F B −36 1 4 °F C −9 °F D −40 °F
Answer:
(A) -9 °F
Step-by-step explanation:
On Sunday, the wind chill temperature reached - 36 °F. On Monday, the wind chill
temperature only reached¼ of Sunday's wind chill temperature. What was the
lowest wind chill temperature on Monday? (A) -9 °F (B) -36¼°F (C) -40 °F (D) -144 °F
Sunday temperature = - 36 °F
Monday temperature = ¼ of Sunday's wind chill temperature
Monday = 1/4 of - 36 °F
= 1/4 * -36 °F
= (1 * -36)/4 °F
= -36/4 °F
= -9 °F
Monday temperature = -9 °F
The correct answer is (A) -9 °F
What is the arc length of PQ?
Answer:
43.9823
Step-by-step explanation:
[tex]Arc length = 2\pi r(\frac{0}{360} )\\ = 2\pi 12(\frac{210}{360} )[/tex]
What is the answer to the photo down below
Answer:it's A
Step-by-step explanation:
Given the system of linear equations:
4x + 6y = 24
2x+y=8.
Which equations (select all) are a result from ADDING and/or SUBTRACTING the TWO
equations together?
6x + 7y = 32
2x + 6y = 16
2x + 5y = 16
63 - 6y = 32
Which of the following is a true sentence? *
-7 > +5
w
O
-7 > +7
O
-7 < +5
O
0 <-5
Answer:
Step-by-step explanation:
I have the same question :(((
What is the area of the given figure in square centimeters?
please answer these questions. only use the power of one to solve it. if u answer it right il give brainlest and ill make another question which u can get 50 points for free. pls answer no links or random answers.
Answer:
9a) 6 1/5
b) 6 4/7
c) 1 1/0
d) 4 1/8
e) 1 1/3
f) 3 1/6
10a) 15 years old
b) 14 1/6 years old
11) 8/3 = 2 2/3
7/5 = 1 2/5
2 2/3 + 1 2/5 = 4 1/15
12a) They ate 3 11/12 pizzas
b) They ate 1 1/3 more cheese pizzas than veg
find all the possible of x for which of the below is true:
[tex] \frac{2x}{x + 3} + \frac{3}{x - 3} = \frac{8}{x^{2} - 9 } [/tex]
Answer:
x = [tex]\frac{1}{2}[/tex] , x = 1
Step-by-step explanation:
Given
[tex]\frac{2x}{x+3}[/tex] + [tex]\frac{3}{x-3}[/tex] = [tex]\frac{8}{x^2-9}[/tex] ← denominator is a difference of squares
[tex]\frac{2x}{x+3}[/tex] + [tex]\frac{3}{x-3}[/tex] = [tex]\frac{8}{(x+3)(x-3)}[/tex]
Multiply through by (x + 3)(x - 3) to clear the fractions
2x(x - 3) + 3(x + 3) = 8 ← distribute left side and simplify
2x² - 6x + 3x + 9 = 8
2x² - 3x + 9 = 8 ( subtract 8 from both sides )
2x² - 3x + 1 = 0 ← in standard form
(2x - 1)(x - 1) = 0 ← in factored form
Equate each factor to zero and solve for x
2x - 1 = 0 ⇒ 2x = 1 ⇒ x = [tex]\frac{1}{2}[/tex]
x - 1 = 0 ⇒ x = 1
The two windows shown are similar. What is the height of the larger window?
Mary cut a wire into 7 equal pieces. The wire was originally 7.84 meters long. How long is each piece?
Answer:
Each piece is 1.12 meters long
Step-by-step explanation:
7 equal pieces = divide x by 7
equation: 7.84 / 7
I NEED HELP PLEASE PLEASE IN ALGEBRA!
Answer:
what is question?
Step-by-step explanation:
Solve
2x + 4 ( 2x + 7 ) + 3 (2x + 4)
Answer:
merhabalar !
HAVE A NİCE DAY
1. Calculate the circumference of the circle to the right. Use 3.14 for at
34 cm
Circumference: Click to add text
Answer:
circumference of the circle=2πr
=2×3.14×17
=106.76cm