Answer:
y = 3x - 6
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (2, 0) and (x₂, y₂ ) = (4, 6)
m = [tex]\frac{6-0}{4-2}[/tex] = [tex]\frac{6}{2}[/tex] = 3, then
y = 3x + c ← is the partial equation
To find c, substitute either of the 2 points into the partial equation
Using (2, 0 ) , then
0 = 6 + c ⇒ c = 0 - 6 = - 6
y = 3x - 6 ← equation of line
need helpppp i have no idea what to do
Answer:
Line 1 and Line 2: Perpendicular
Line 1 and Line 3: Neither
Line 2 and Line 3: Neither
Step-by-step explanation:
We will write all lines in slope intercept form i.e [tex]y=mx+b[/tex]
where m is slope.
And check
a) If two lines are parallel they have same slope [tex]m_1=m_2[/tex]
b) If two lines are perpendicular they have opposite reciprocal slopes i.e [tex]m_1=-\frac{1}{m_2}[/tex]
Equation for Line 1: [tex]y=-\frac{4}{3}x-4[/tex]
Already in slope-intercept form
Slope for Line 1 m is: [tex]\mathbf{m_1=-\frac{4}{3}}[/tex]
Equation for Line 2: [tex]6x-8y=-6[/tex]
Converting into slope-intercept form:
[tex]6x-8y=-6\\-8y=-6x-6\\y=\frac{-6x-6}{-8}\\y=\frac{-6x}{-8}+\frac{-6}{-8} \\y=\frac{3x}{4}+\frac{3}{4}[/tex]
Slope for Line 2 m is: [tex]\mathbf{m_2=\frac{3}{4}}[/tex]
Equation for Line 3: [tex]-4y=3x+7[/tex]
Converting into slope-intercept form:
[tex]-4y=3x+7\\y=-\frac{3}{4} -\frac{7}{4}[/tex]
Slope for Line 3 m is: [tex]\mathbf{m_3=-\frac{3}{4}}[/tex]
Now, finding answers
Line 1 and Line 2
Checking their slopes: [tex]\mathbf{m_1=-\frac{4}{3}}[/tex], [tex]\mathbf{m_2=\frac{3}{4}}[/tex]
Both lines are perpendicular because they have opposite reciprocal slopes
Line 1 and Line 3
Checking their slopes: [tex]\mathbf{m_1=-\frac{4}{3}}[/tex], [tex]\mathbf{m_3=-\frac{3}{4}}[/tex]
Slopes are neither same, nor opposite reciprocal, so they are neither
Line 2 and Line 3
Checking their slopes: [tex]\mathbf{m_2=\frac{3}{4}}[/tex], [tex]\mathbf{m_3=-\frac{3}{4}}[/tex]
Slopes are neither same, nor opposite reciprocal, so they are neither
The answers are:
Line 1 and Line 2: Perpendicular
Line 1 and Line 3: Neither
Line 2 and Line 3: Neither
Troy invests $540 in a savings account that earns a simple interest
rate of 2.3% annually. How much money will Troy have in
the account after four years assuming he does not deposit or
withdraw any money?
please help:)
wish i could help bro bro.
Answer/step-by-step explanation:
Well, we first need to find out what 2.3 of $540 is.
540 x 2.3 = 1,242.
Now, we need to find what the yearly interest rate is over the course of four years.
1,242 x 4 = $4,968.
Therefore, Trey will have earned $4,968 after four years.
To complete this problem, we need to add this to his original balance, or $540.
4,968 + 540 = 5,508
Therefore, Trey would make a total of $5,508 after four years.
Hope this helps! :D
4r + 5y = 10
- 1 - 8 = 3y
Answer:
y = -3, r = 25/4
Step-by-step explanation:
4r+5y = 10
-1 - 8 = 3y <--- This can be simplified to:
-9 = 3y
-3 = y
Now we plug -3 into y in the first equation
4r + 5y = 10
4r + 5(-3) = 10
4r - 15 = 10
4r = 25
r = 25/4
Solve the following and check for extraneous solutions
√4x + 8= x+ 3
Answer:
X=-5
Step-by-step explanation:
√4x+8=x+3
Simplifies to:
2x+8=x+3
Let's solve your equation step-by-step.
2x+8=x+3
Step 1: Subtract x from both sides.
2x+8−x=x+3−x
x+8=3
Step 2: Subtract 8 from both sides.
x+8−8=3−8
x=−5
Find the midpoint of (2,-9) and (-4,-4)
Which graph shows a non-proportional linear relationship between x and y?
what is the missing number of each unit rate?
1. Find the probability if a computer randomly picks a letter in the phrase, “ YOU WILL ALWAYS BE MY BEST FRIEND.”
a. The letter E
b. The letter L
c. The complement of letter E
d. The complement of letter L
2. Find the odds if a computer randomly picks a letter in the phrase, “ YOU WILL ALWAYS BE MY BEST FRIEND.”
a. The letter E
b.The letter L
If a sample has a small standard deviation, we can say the scores in the sample are.
If a sample has a small standard deviation, we can say the scores in the sample are consistent.
Standard deviation is a measure of dispersion. It measures the variation of the scores from the central value of the distribution.
A data is said to be consistent when this variation is less. Such data are easy to handle for studies.
When it is difficult to study the very large population, we choose samples from the population randomly. Each of these samples also have its own standard deviation. When this standard deviation is small, then the data is more consistent. That is, the scores in the sample goes well with those in the population.
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find the equation of a circle with a center at (-1, 5) and a point on the circle is (4, 4). ( x 1) 2 ( y - 5) 2
The equation of a circle is x² + y²+ 2x - 10y = 0 with a center at (-1, 5).
What is the equation of a circle?The equation of a circle with center (h,k) and radius r is :
r² = (x−h)² + (y−k)²
Given that a circle with a center at (-1, 5) and a point on the circle is (4, 4).
Since the circle passes through points (4, 4),
So the radius (r) of the circle is the distance between points (-1, 5) and (4, 4).
⇒ r² = (-1−4)² + (5−4)² = 25 + 1
⇒ r = √26
The center of the circle is given as (h,k) = (-1, 5)
So the equation of the circle is
⇒ r² = (x − h)² + (y − k)²
Substitute the values of r, h, and k in the above equation,
⇒ 26 = (x − (-1))² + (y −5)²
⇒ 26 = (x + 1)² + (y −5)²
⇒ 26 = x² + 2x +1 + y² - 10y + 25
⇒ x² + y²+ 2x - 10y = 0
Hence, the equation of a circle is x² + y²+ 2x - 10y = 0 with a center at (-1, 5).
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HELP ME PLZ BRAINLIST 4 U
Answer:
G
Step-by-step explanation:
I think its G because i counted the numbers...and i pretty sure its not a Negative so yah
for what base-6 digit $d$ is $2dd5 6$ divisible by the base 10 number 11? (here $2dd5 6$ represents a base-6 number whose first digit is 2, whose last digit is 5, and whose middle two digits are both equal to $d$).
The digits base is 7 then we should convert them into base 6.
The exponent or power to which a base must be raised to yield a given number. Expressed mathematically, x is the logarithm of n to the base b if bx = n, in which case one writes x = logbn.
Here the conclusion is that there are many bases in the mathematics so what will happen is that we should convert these bases. For example, we have to convert base 10 of a number which is called decimal number can be converted into binary number whose base is 2 and after then if the digits base is 7 then we should convert them into base 6.
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What is the value of y?
A. 10
B. 110
C. 85
D. 55
Answer:
D. 55°
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Geometry
All angles in a triangle add up to 180°Step-by-step explanation:
Step 1: Set Up Equation
40° + (y + 30)° + y° = 180°
Step 2: Solve for y
Combine like terms: 2y° + 70° = 180°Isolate y term: 2y° = 110°Isolate y: y° = 55°John and his best friend found some money. They split the money evenly, each getting $14. How much money did they find?
Answer:
$28
Step-by-step explanation:
John and his best friend each got $14, so in total there are $14+$14=$28.
Answer:
$28
Step-by-step explanation:
If they split the money evenly then both of them got half.
So, multiply 14 by 2 to find the answer:
(14)(2) = 28
John and his best friend found a total of $28.
I hope this helps!!
- Kay :)
Emmet walks 0.4 miles on each trip to the park. How far will Emmet walk if he makes 4 trips to the park?
Miles
Emmet will walk 1. 6 miles if he makes 4 trips to the park
How to determine the valueFrom the information given, we have that;
Emmy walks 0. 4 miles per tripHe wants to walk 4 tripsIt is important to note that proportion is the mathematical comparison of two numbers or elements
If 0. 4 miles is equivalent to 1 trip
Then x miles is equivalent to 4 trips
cross multiply
x = 0 . 4 × 4
Multiply through
x = 1. 6 miles
Thus, Emmet will walk 1. 6 miles if he makes 4 trips to the park
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math I need help please help
Answer:
whats the problem
Step-by-step explanation: ?
A Cuban restaurant
donates 225 meals each hour. How
many meals does the restaurant
donate in 12 hours?
determine the slope of the lines.
line 1: y=9
line 2: x=-3
are the slopes parallel, perpendicular, or neither?
Pls help I’m stuck on this question and I can’t figure it out! Will give brainliest!
Answer:
A, C, and D
Step-by-step explanation:
Parent function of y = x will be all linear equations that have the x variable with the exponent equal to one.
Answer:
A, C, and D.
Step-by-step explanation:
the other answer is not correct because i pressed on this to help you because my teacher actally just tought me that and so she just tought us (my class)
about this and she used this question for an example and she used that other answer and asked which ones where correct and i said A, C, And D.
and guess what? i got it correct! so trust me, you gotta do A, C, and D. i hope that helps you and please mark me brainlist have a nice day.
Multiply.
(1.6)⋅(−4.2)
A. −67.2
B. −6.72
C. 6.72
D. I don't know.
frist you multiply 1.6 with -4.2
After a discount of 40%, the sale price of a ridepass at a fun park is $30 what was the orginal price
4 x 100 + 8 x 10 + 9 x 1 + 8 x (1/100) + 5 x (1/1,000) in standard form.
First answer gets brainiest
Answer:
52 degrees
Step-by-step explanation:
the sides are equal
Answer:
52 degrees
Step-by-step explanation:
since each side have one line, they are both equal, which means that x is also 52 degrees
hope this helps
take care
3(x + 5)2 + 6 vertex
Answer:
The equation does not match the form of any conic section.
Not a Conic Section
Step-by-step explanation:
Which relation is a function?
{(1, −1), (−2, 2), (−1, 2), (1, −2)}
{(1, 2), (2, 3), (3, 2), (2, 1)}
{(1, 4), (2, 3), (3, 2), (4, 1)}
{(4, 2), (3, 3), (2, 4), (3, 2)}
Answer:
The answer to this question is B
Step-by-step explanation:
just believe
1- (-16) and 11- (11) just in case this information is needed it's integers I'm doing this for extra credit
Answer:
?
Step-by-step explanation:
Which slope is the steepest?
y = 10x
y = 0.3x
y = 5x
y = 0.7x
Answer:
y = 10x
Step-by-step explanation:
*Remember the equation of a line is y = mx + b
Attached are each of the options graphed. As m increases, the slope becomes steeper. The blue line, y = 10x is the steepest of them all.
Hope this helps!
If v2 = u2 + 2as, evaluate a when v = 5,
u = 2 and s = 7.
Answer:
a = 3/2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
v² = u² + 2as
v = 5
u = 2
s = 7
Step 2: Evaluate
Subtract u² on both sides: v² - u² = 2asDivide 2s on both sides: (v² - u²)/(2s) = aRewrite: a = (v² - u²)/(2s)Substitute: a = (5² - 2²)/(2 · 7)Exponents: a = (25 - 4)/(2 · 7)Multiply: a = (25 - 4)/14Subtract: a = 21/14Simplify: a = 3/2Factor the following polynomial.
98x3 – 18x
Answer:
2x(7x - 3)(7x +3)
Step-by-step explanation:
Find common factors between the 2 numbers:
98x^3 - 18x
2x(49x^2 - 9)
now find what numbers multiplied together is 49, and find what numbers added together equals 0 and the product is 3, 7 times 7 is 49 and 3(-3) = 9 while 3 - 3 = 0 so:
2x(7x - 3)(7x +3)
PLEASE HELP ME WITH THESE !!!
Answer:
T = 1 I = 5 R = 40
Step-by-step explanation:
Use cross multiply method or use scientific calculator to find it by shift solve method
Answer:
T= 1
I= 5
R= 40
Step-by-step explanation:
T: 28/7 = 4 so you should divide 7 by 7 to get t
I: 12/4 is 3 so you should divide 20 by 4 to get I
R: 36/9 is 4 so multiply 10 times 4 to get R