Write the equation of the line that is parallel to the line y=−14x−3 through the point (4,4).
Hello there! :)
Parallel lines have the same slope, so if one line has a slope of -14, then the line parallel to it has a slope of -14 as well.
We are also given a point that the line passes through.
That's enough information to find the equation of the line.
First, we write the equation in point-slope form, which looks like so:
y-y1=m(x-x1)
y1 is the y-coordinate of the point, m is the slope of the line and x1 is the x-coordinate of the point.
y-4=-14(x-4)
y-4=-14x+56
y=-14x+60
Hence, that's the equation. Hope it helps.
~A lonely teen who helps others with a smile
-Grace
Good luck.
Which of the following are solutions to the equation below?
Check all that apply.
(3x - 5)2 = 19
=
A. x= -V19+
B. X= -
V14
3
O c. x=
114
3
O D. x= -119 +5
3
E. x = V19+
+
3
V19 +5
O F. X=
3
The solutions are x = (5 + √19)/3 and x = (5 - √19)/3. These match options E and F in your question.
What is the solution for an equation?The solution of an equation refers usually to the values of the variables involved in that equation which if substituted in place of those variable would give a true mathematical statement.
We are given that;
The function (3x - 5)2 = 19
Now,
To find the solutions to the equation (3x - 5)^2 = 19, we need to use the following steps:
Take the square root of both sides to get 3x - 5 = ±√19
Add 5 to both sides to get 3x = 5 ±√19
Divide both sides by 3 to get x = (5 ±√19)/3
Therefore, the solutions of the equations will be x = (5 + √19)/3 and x = (5 - √19)/3.
Learn more about solving equations here:
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The sum of a number times 3 and 16 is at least 16.
Will give BRAINLIEST
Answer:
It is the yellow square
Step-by-step explanation:
The purple one is in the second quadrant
The green one is in the third quadrant
The blue one is in the forth quadrant
2x2 cuantos porfasss
Answer:
4
Step-by-step explanation:
Answer:
2 x 2 = 4
Step-by-step explanation:
if you count 2 2 times then you would get 4. EASY
1. Simplify 3(2x - y) + 6y.
5x + 7y
6x + 3y
2x + 3y
6x - 7y
Answer:
6x + 3y
Step-by-step explanation:
3(2x - y) + 6y ← distribute parenthesis by 3
= 6x - 3y + 6y ← collect like terms
= 6x + 3y
[tex]\huge\boxed{Hi\: there!}[/tex]
Here, we use the Distributive Property:
[tex]a(b+c)=ab+ac[/tex]
3(2x-y)+6y=6x-3y+6y
Combine like terms:
6x+3y
[tex]\huge\boxed{Therefore,\: our \:equation\: is:6x+3y}[/tex]
[tex]\huge\bf{Good \:luck \:with \:your \: studies! :)\\~Unknown Dreamer}[/tex]
Any two figures in a plane can be proven congruent by:
A. the fact that they are the same shape.
B. the fact that all of their angles are the same measurement.
C. a series of rigid motions that takes one figure to the other.
D. having at least three corresponding parts.
Answer:
A.
Step-by-step explanation:
Definition:
GEOMETRY
(of figures) identical in form; coinciding exactly when superimposed.
Help!! Ill give 100 points if your correct
[tex]\\ \sf\Rrightarrow 12\dfrac{5}{6}-5\dfrac{1}{6}[/tex]
[tex]\\ \sf\Rrightarrow \dfrac{77}{6}-\dfrac{31}{6}[/tex]
[tex]\\ \sf\Rrightarrow \dfrac{77-31}{6}[/tex]
[tex]\\ \sf\Rrightarrow \dfrac{46}{6}[/tex]
[tex]\\ \sf\Rrightarrow \dfrac{23}{3}[/tex]
[tex]\\ \sf\Rrightarrow 7\dfrac{2}{3}[/tex]
Given info:- Subtract and simplify. 12(5/6) - 5(1/6) The given options are (a) 6(1/3) (b) 5(2/3) (c) 7(1/3) (d) 7(2/3)
Solution: 12(5/6) - 5(1/6)
= (72+5)/6 - (30+1)/6
= 77/6 - 31/6
Take the LCM of 6 and 6 is 6.
so,
= (77*1 - 31*1)/6
= (77-31)/6
= 46/6
= (46÷2)/(6÷2)
= 23/3
= 7(2/3) Ans.
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Jerome solved the equation 1 3 x + 5 6 = 1 as shown. 1. Subtraction property of equality: 1 3 x + 5 6 − 5 6 = 1 1 − 5 6 2. LCD: 1 3 x = 1 6 − 5 6 3. Multiply by...
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HELP ME PLEASE!
Find the value of the discriminant for the quadratic equation. Then, describe the number and type of roots for the equation.
25x^2 -20x + 4 = 0
Answer:
real and equal roots
Step-by-step explanation:
because at end of calculation,0=0
Find f(-2) for f(x) = 3.2%
Answer:
f(-2)= -12Step-by-step explanation:f(-2)= 3*2(-2)f(-2)= 3*(-4)f(-2)= -12.
Step-by-step explanation:
PLZ SOMEONE HELP ME
NO LINKS PLz
Answer:
-11[tex]\leq[/tex]x[tex]\leq[/tex]8
Step-by-step explanation:
The two points are filled in circles at -11 and 8, meaning anything inbetween them is part of the domain.
What is the solution to y=12
Answer:
y=12
Step-by-step explanation:
This equation cannot be simplified further.
Hope this helped! :)
Two negative integers have a sum of -18 and a
product of 80. What are the integers?
Separate the answers with a coma.
Answer:
-10, -8
Step-by-step explanation:
a + b = -18
a * b = 80
Solve:
from the first eq.
a = 18 - b
replacing this value in the secon eq.
(18-b)*b = 80
18*b + b*-b = 80
-b² + 18b = 80
-b² + 18b - 80 = 0
b = {-18±√((18)² - (4*-1*-80))] /(2*-1)
b = {-18±√(324.320)} / -2
b = {-18±√4} / -2
b = {-18±2} / -2
b₁ = {-18-2} / -2 = -20/-2 = 10
b₂ = {-18+2} / -2 = -16/-2 = 8
The two number must be negatives, so the numbers are:
-10 and -8
Check:
-10 + (-8) = -10 - 8 = -18
-10*-8 = 80
PLEASE SOMEONE HELP ASAP I NEED HELP WITH THIS
Answer:
See image
Step-by-step explanation:
Rate of change means how much does the number of snowflakes go up each time (on a different question you might find the number goes down each time)
"Initial value" means whatthe number if snowflakes at step zero. We have to work backwards to find that number. For the equation, fill in the rate in front of the x (we use m for that number) and add in the initial value (b) in the format y=mx+b . The information for the table is in the picture (the step numbers and number of snowflakes)
See image
What is the slope of the line that passes through the points (5, 6)(5,6) and (5, 9) ?(5,9)? Write your answer in simplest form.
Answer:
The slope is undefined.
Step-by-step explanation:
You can use slope formula (y - y)/(x - x) and you will get a zero on the bottom (never allowed) OR notice that the x's are the same so sketch a graph, the line is vertical...that means that slope is undefined.
what does x - 9 multiplied by x + 4 equal
Answer:
x^2 - 5x -36
Step-by-step explanation:
multiply x-9 by x to get x^2 -9x. multiply x-9 by 4 to get 4x-36. add these two together to get x^2 - 9x + 4x - 36. simplify to get x^2 - 5x -36
Which is greater 25% of 16 or 20% of 25
Answer:
20% of 25 is greater
Step-by-step explanation:
25% of 16 = 4
20% of 25 = 5
Answer:
20% of 25
Step-by-step explanation:
To find 25% of 16, we have to consider how much 25% is out of 100%
25/100 can be simplified to 1/4
So 1/4 of 16 (or 16/4) = 4
To find 20% of 25, we have to consider how much 20% is out of 100%
20/100 can be simplified to 1/5
So 1/5 of 25 (or 25/5) = 5
4 < 5
Therefore, 20% of 25 is greater than 25% of 16
WILL GIVE BRAINLY,5 STARS,AND THANKS
Answer:
Step 1: 10 group(s) of 23 = 230
Step 2: 6 group(s) of 23 = 138
Step 3: Add the partial quotients: 10 + 6 = 16
Step-by-step explanation:
For step one you can tell that 230/10 is 23. You can tell this because of the zero at the end of the number. Anything multiplied by 10 is that number but with a zero at the end. For step 2 you kind of have to do long division, or you can use a calculator. You will end up with 6. When you add the partial quotients, it means add the answers to steps 1 and 2 together and get 16. This should be right hope it helps!
Answer
From the results, we can conclude:
230=23×10
138=23×6
Therefore:
Step 1: 10 groups of 23 = 230
Step 2: 6 groups of 23 = 138
Step 3: Add the partial quotients: 10 + 6 = 16
answer 10 + 6 = 16
the equation above models h, the height of a firework shell in feet, t seconds after launch. what is the height in feet, of the firework shell 2 seconds after launch?
find m angle 1 117+33+x=180
Answer:
angle x = 30 degrees
Step-by-step explanation:
180-117-33= x
180 - 117- 33= 30
117+33+x=180
117+33=150
180-150=30
x=30
117+33+30=180
180=180
honestly i dont know what you wanted me to do so i did what i know
Which describes 4x and -7x in this
expression?
4x - 5 - 7x
-
a constants
b. variable terms
c. like terms
d. coefficients
Answer:
B. Variable terms
Step-by-step explanation:
The 4 and -7 both have an x on them. The x is a variable.
Perform the indicated operation
g(x)=x^3+5x and f(x)=2x-2
Find (g o f)(x)
Answer:
g(f(x)) = 8x^3-24x^2+34x-18
Step-by-step explanation:
The composition is ...
[tex](g\circ f)(x)=g(f(x))=g(2x-2)\\\\=(2x-2)^3+5(2x-2)\\\\=(2x)^3 +3(-2)(2x)^2+3(-2)^2(2x)+(-2)^3+10x-10\\\\=8x^3-24x^2 +24x-8+10x-10\\\\\boxed{(g\circ f)(x)=8x^3-24x^2+34x-18}[/tex]
A trucking company uses matrix A , shown below, to represent the driving time in hours for 6 trucking routes. A = [ 4 6 8 ]
[6 8 10 ]
The driving time matrix is based on an average speed of 60 miles per hour. This means that the matrix 60 A represents the driving distances in miles for these 6 trucking routes. Which of these is the matrix 60 A ?
Each element of the matrix are multiplied by the scalar to form a matrix of
same size as the original matrix in matrix scalar multiplication.
[tex]60 \cdot A = \left[\begin{array}{ccc}240\4&360&480\\360&480&600\end{array}\right][/tex]Reasons:
The matrix A is presented as follows;
[tex]A = {\left[\begin{array}{ccc}4&6&8\\6&8&10\end{array}\right]}[/tex]
Using the multiplication of a matrix and a scalar, we have;
[tex]60 \cdot A = 60 \cdot \left[\begin{array}{ccc}4&6&8\\6&8&10\end{array}\right] = \left[\begin{array}{ccc}60 \times 4&60 \times 6&60 \times 8\\60 \times 6&60 \times 8&60 \times 10\end{array}\right] = \left[\begin{array}{ccc}\mathbf{240}&\mathbf{360}&\mathbf{480}\\\mathbf{360}&\mathbf{480}&\mathbf{600}\end{array}\right][/tex]
Therefore;
[tex]60 \cdot A = \left[\begin{array}{ccc}240\4&360&480\\360&480&600\end{array}\right][/tex]
Learn more about matrices here:
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Type the expression that results from the following series of steps:
Start with 6 and subtract
z
Jackie likes coffee. She ________ about eight cups of coffee every day.
a-is drinking
b-drinks
c-is always drinking
d-drank
I will give brainlyst
Answer:
SSS
Step-by-step explanation:
Answer:
SSS
Step-by-step explanation:
SSS means Side Side Side and there are no angles here
Jack deposited a check into his account for $227.11. Then, he withdrew $227.11 in cash in the same transaction. What is the net amount of Jack's transaction? A. $454.22 B. $227.11 C. $0 D. -$227.11
Answer:
None because he took out all of the money he had
Step-by-step explanation:
(I made the same mistake once......)
The net amount of Jack's transaction is: $0.
So, the correct answer is C. $0.
The net amount of Jack's transaction can be calculated by subtracting the amount he withdrew from the amount he deposited.
Given:
Deposit amount = $227.11
Withdrawal amount = $227.11
Net amount = Deposit amount - Withdrawal amount
Net amount = $227.11 - $227.11
Net amount = $0
Hence, the net amount of Jack's transaction is: $0.
So, the correct answer is C. $0.
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A trucking company uses matrix A, shown below, to represent the driving time in hours for 6 trucking routes. A=[4686810]The driving time matrix is based on an average speed of 60 miles per hour. This means that the matrix 60A represents the driving distances in miles for these 6 trucking routes. Which of these is the matrix 60A?
Answer:
The answer is 90A because.....
Step-by-step explanation:
The truck company is 90 miles an hour away so the matrix divided by two is 3 plus 6 again is 9 hoped is help you.
Rationalize the denominator and simplify. I will give brainliest
(\sqrt(a+1)-2)/(\sqrt(a+1)+2)
Answer:
(\sqrt(a+1)-2)^2/a+1-4=[a+5-4(\sqrt(a+1)]/(a-3)
Step-by-step explanation:
To rationalize the denominator, you have to multiply the denominator and the numerator by (\sqrt(a+1)-2) (which doesn't change the value of the fraction)
You get: (\sqrt(a+1)-2)^2/a+1-4=[a+5-4(\sqrt(a+1)]/(a-3)
Liza types 180 words in 3 minutes. At
that rate, how many minutes does it
take her to type 1,260 words?
Brainliest to a person who gets it right.
Answer:
21 minutes
Step-by-step explanation:
180 divided by 3 is 60 wpm
1260 divided by 60 is 21