Answer:
slope = - [tex]\frac{6}{5}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 3, 8) and (x₂, y₂ ) = (- 9, 3)
m = [tex]\frac{3-8}{-9+3}[/tex] = [tex]\frac{-5}{-6}[/tex] = [tex]\frac{5}{6}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{5}{6} }[/tex] = - [tex]\frac{6}{5}[/tex]
What do solving absolute value equations and solving quadratic equations have in common?
Answer:
They often have more than one solution.
Answer:
Step-by-step explanation:
Quadratic equations are equations that when rearranged using the 5 operations can yield a polynomial of degree 2 on one side of the equation and 0 on the other. There are 3 commonly taught methods for solving quadratic equations. These methods are factoring, completing the square, and the quadratic formula. These functions are most commonly used to model projectiles, disregarding air resistance.
When using the factoring method one attempts to write a degree 2 polynomial as the product of two degree 1 polynomials. This method works because if we multiply two degree one polynomials together we find
For example: When factoring , we want to find two number a, b whose product is 6 and sum to 5. The values of a and b we are looking for are 2 and 3.
The method of completing the square centers around using the five operations to replace the original equation with an equivalent equation of the form by taking advantage of the fact that
The absolute value function takes the value of a number, regardless of whether it is positive or negative. Some problems that the absolute value is useful for modeling include an object bouncing on the ground.
For example, , since we do not care about the negative sign.
Example: Solve
Solution: Since the absolute value does not care about whether a number is positive or negative, if then or . Then we can solve each equation individually to find that x = 1 or 5.
Morgan can type 18 words
per minute. How long will it
take her to type 3
paragraphs? (Each
paragraph has 30 words)
Answer: it will take 5 minutes.
How do I plot the coordinates (2,-4)
Answer:
the first number is the x axis and the second is the y axis so first find the x axis and plot the first number on there then do the same to the y.
Step-by-step explanation:
Match the graph with its equation
The width of a rectangle is three more than twice its length
yes it is! great job on coming up with that conclusion!
Answer:you have to add find the side length add 3 and double it and that’s the width. I don’t have measurements so I can’t fully help you.
Step-by-step explanation:
YESS
What is 7/9 divided by 1/3???????
Answer:
0.259...
Step-by-step explanation:
Which relation is a function?
Answer:
D
Step-by-step explanation:
To find out whether a graph is a function or not, you can use the vertical line test, which means if you were to draw a vertical line on the graph at any point, if it would cross over 2 lines, it's not a function. D is the only graph that wouldn't fail the vertical line test.
Does anyone know the answer to this??
Answer:i know something about it:
the AEB thingy is the angle that has the 5x- 10 thing. if you know what the 5x thing means, then you subtract the 5x mystery number from 10. and if you see the points A,E, and B, those are the angle points.
Step-by-step explanation:
i'm sorry that i didn't know about all the things, but i hope you know what the 5x thing is.
If f(x)=5x+2 and g(x)=x-1 what is f(g(4))
Fill in the missing terms.
a) 1 : 2 = ___ : 4 b) 1 : ___ = 3 : 6 c) 3 : 5 = ___ : 10
d) 1 : 5 = 3 : ___ e) ___ : 6 = 1 : 3 f) 9 : 15 = ___ : 5
a) 2
b) 2
c) 6
d) 15
e) 2
f) 3
4x+14=6x+8
Solve please
Answer:
x=3
Step-by-step explanation:
Write y = 4x + 2 in Standard form.
Answer:
4x-2=y
Step-by-step explanation:
Which expression is equal to (x/2) (x+2/3)
Answer:
If is in that form (the blue part ) ,then the answer is that one
An 8-question true or false quiz is given to a class. If Lee guessed every question,
how many would she expect to be correct?
Work Shown:
n = number of questions = 8
p = probability of getting a question correct = 1/2 = 0.5
n*p = number of questions we expect Lee to get correct
n*p = 8*0.5
n*p = 4
We expect Lee gets about 4 questions correct.
4 question that lee guessed would be correct.
There 8 question of true and false.
Lee guessed every question.
Probability can be defined as ratio of favorable outcomes to the sample of events.
Here,
Probability of guessing right answer = 1/2 = 0.5
Probability of lee guessing right answer out of 8 question.
= 0.5 x 8
= 4
Thus, 4 question that lee guessed would be correct.
Learn more about probability here:
https://brainly.com/question/11234923
#SPJ2
Car A travels 127 miles in 4 hours. Car B travels 350 miles in 4 hours. Car C travels 583 miles in 14 hours. Which car has the fastest average speed?
Answer:
B is the answer
the area of the larger square is ____ times larger than the area of the small square
Answer:
The area of the larger square is 16 times larger than the area of the small square.
Five less than three times a number is 1. Find the number
Answer:
n = 2
Step-by-step explanation:
Step 1: Write equation
"Five less" = subtract 5
"three times a number" = 3 × n, or 3n
"is 1" means = 1
3n - 5 = 1
Step 2: Solve for n
Add 5 to both sides: 3n = 6Divide both sides by 3: n = 2The area of a square shaped yard is 201.5 ft2. Which measurement is closest to the side length of this yard in feet?
Answer:
a = 14.19 feet
Step-by-step explanation:
Given that,
The area of a square shaped yard is 201.5 ft²
We need to find the side length of this yard in feet.
The area of a square shaped object is given by :
A = a², a is the side length of the object
Put A = 201.5 ft² in above formula,
[tex]201.5=a^2\\\\a=\sqrt{201.5 } \\\\a=14.19\ \text{feet}[/tex]
So, the side of the square yard is 14.19 feet.
the registration fee for a used car is 0.8% of the sale price of 5,700. How much is the fee
Answer:
1,140
Step-by-step explanation:
subtract the percentage from the total
Line $1$ represents the graph of $3x + 4y = -14$. Line $2$ passes through the point $(-5,7)$, and is perpendicular to line $1$. If line $2$ represents the graph of $y=mx +b$, then find $m+b$.
Answer:
15
Step-by-step explanation:
First, solve for Line 1
3x + 4y = -14
move the x to the right of the equation
4y = -3x - 14
divide the whole equation by 4
y = -3/4x - 14/4
Line 1 is y = -3/4x - 7/2
Then, solve for Line 2
Since Line 2 is perpendicular, change the sign of the slope of Line 1 and then get the reciprocal of that.
-3/4 to 3/4 to 4/3
4/3 is the slope of Line 2.
Now, we want to find what the b of the equation is, so we can plug in our x (-5) and our y (7) into the y=mx+b equation to find b. The 4/3 is the m or the slope.
y = mx + b
plug in the y, m, and x into the equation
7 = (4/3)(-5) + b
multiply the m and x together
7 = -20/3 + b
add 20/3 to both sides so it will cancel out on the right of the equation and be added to the 7 on the left of the equation
41/3 = b
So, m = 4/3 and b = 41/3
Add them together and you get 45/3 or 15.
I hope this helped!
Evaluate the expression. |18 – 4| 22 14 –14 –22
Work Shown:
|18-4|
|14|
14
You subtract 18-4 to get 14. Applying absolute value on a positive number leads to the same result.
Answer:
14
Step-by-step explanation:
|18 – 4|
First find the value inside the absolute value bars
18-4 is 14
|14|
Then take the non negative value
14
the percentage of boys in a school is 60%, and the number of girls are 200, calculate the number of boys and the total number of students?
Answer:
Boys: 300 or 60%, girls: 200 or 40%, total number of students: 500 or %100
Step-by-step explanation:
So basically:
1. We know that 60% is boys and we're trying to figure out the exact amount. We know the other 40% (girls) is a total of 200.
2. First take the 40% and half it so we get 20% in order to do that we have to do the same to the 200 girls and half the number into 100. Now we know 20% is equal to 100 students. Given that information we would multiply the 20% by 3 to get the 60% of boys. Now we would also multiply the 100 by 3 and now we have 300.
3. We now know that we have 300 boys and 200 girls. Add them together for the total of students and you get 500.
I hope this helps:)
A rectangle has a perimeter of 80. if the length is four more than twice the width, what is the length of the rectangle
Answer:
28
Step-by-step explanation:
l = length
w = width
p = perimeter
w = w
l + l + w + w = p (adding all the rectangle's sides together gets us our perimeter)
l = 2w + 4 (four more than twice the width)
Substitute 2w + 4 for 'l' in the original equation
(2w + 4) + (2w + 4) + w + w = 80
Solve equation normally:
6w + 8 = 80
6w = 72
w = 72/6 = 12
(w = 12)
Length = 2w + 4
Substitute 12 for 'w':
2(12) + 4 = l
24 + 4 = l
28 = l
The length is 28
HELPPP ASAP!
Find the slope between the two points.
(3,7) (2,9)
m= 2
m= -2
m= 0
m = 1
Solve the following equations.
1) 10 + x = 13
2) y - 13 =23
3) 4b = 24
4) m/5=7
Answer:
1) x = 3
2) y = 36
3) b = 6
4) m = 35
Step-by-step explanation:
1) x = 13-10 =3
2) y = 23+13 =36
3) b = 24÷4 =6
4) m = 5×7 =35
Which of the following is equal to 5/7-4/7 (a) 0 (b) 1 (c) undefined (d) 1/7
Answer:
It's 0.142857
Step-by-step explanation:
Answer:
your answer is d.1/7
Step-by-step explanation:
all you have to do is subtract 5-4 which is 1 then add 7 as the denominator
This question is hard and I don’t know it may u please help
Answer:
Mark's total salary is 22,260
Step-by-step explanation:
well, his base salary is 21,000.
if you look at the diagram, the added bonus is 6% of the base salary.
6% can be rewritten as 0.06
0.06 * 21,000 = 1,260
the total salary is just the base salary and the bonus salary added together.
21,000 + 1,260 = 22,260
Using the distributive property, an expression equivalent to 34 + 16 is
A.2(17+ 8)
B.17(2+8)
C. 34+ (4) (4)
D. (2)(17) + (4) (4)
Answer:
A. 2(17+8)
Step-by-step explanation:
distribute and you get 2x17=34 and 2x8=16
4 equal piece of rope out of 2 1/2 inch how long is each piece
Answer:
1/4 inches
Step-by-step explanation:
To get 4 equal pieces you need to cut the 2 equal pieces in half, which half of 1/2 inches is 1/4 inches.
If an object is projected upward from ground level with an initial velocity of 48ft per sec, then its height in feet after t seconds is given by s(t)= -16t^2+48t. Find the number of seconds it will take to reach its maximum height. What is this maximum height? The object will take __ second(s) to reach its maximum height. (Simplify your answer.) The maximum height reached by the object is __ feet. (Simplify your answer.)
Answer:
t = 1.5 s and s(t) = 36 feet
Step-by-step explanation:
The height reached by an object as a function of time t is given by :
[tex]s(t)= -16t^2+48t[/tex] ...(1)
t is in seconds
To find the maximum height, put [tex]\dfrac{dh}{dt}=0[/tex]
[tex]\dfrac{d( -16t^2+48t)}{dt}=0\\\\-32t+48=0\\\\t=\dfrac{48}{32}\\\\t=1.5\ s[/tex]
It will take 1.5 seconds to reach its maximum height.
Put t = 1.5 s in equation (1), such that,
[tex]s(1.5)= -16(1.5)^2+48(1.5)\\\\s(t)=36\ \text{feet}[/tex]
The maximum height reached by the object is 36 feet.