The process to calculate slope of line is explained below.
The Slope of line passing through two points (a,b) and (c,d) can be calculated by using formula ;
slope = (d - b)/(c - a) ;
The slope of a line is denoted by letter "m" .
For Example : If the line is passing through the points (0,2) and (3,8) .
on comparing we get the values as a = 0 , b = 2 , c = 3 and d = 8 .
On substituting values in the slope formula that is mentioned above ,
we get ;
Slope(m) = (8 - 2)/(3 - 0)
On Simplifying further ,
we get ;
= 6/3
= 2 .
So , the slope of line will be = 2 .
The given question is incomplete , the complete question is
How do you calculate slope of a line quickly ?
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On Monday, a local hamburger shop sold a combined total of 592 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold. How many hamburgers were sold on Monday?
Answer:
148
Step-by-step explanation:
148 x 3 = 444
444 + 148 = 592
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148 hamburgers were sold on Monday.
Let x be the number of hamburgers sold.
Since the number of cheeseburgers sold was three times the number of hamburgers sold, the number of cheeseburgers sold can be represented as 3x.
The total number of hamburgers and cheeseburgers sold was 592. So, we can set up the equation:
x + 3x = 592
Combine like terms:
4x = 592
Now, solve for x by dividing both sides by 4:
x = 592 / 4
x = 148
Therefore, 148 hamburgers were sold on Monday.
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Multiply and simplify the following products. V stands for radical.
Example: (V5)2= (V5) (V5) = v(5 x 5) = 5
1. (19)
2. (V2) (13)
3. 2(12) x 3(3)
Answer:
(1) 9
(2) [tex]\sqrt{6}[/tex]
(3) 6([tex]\sqrt{6}[/tex])
Step-by-step explanation:
From the question,
(1) ([tex]\sqrt{9}[/tex])²
Applyin the law of multiplication of surds
([tex]\sqrt{9}[/tex])² = (
(2) ([tex]\sqrt{2}[/tex])× ([tex]\sqrt{3}[/tex]) =
Also applying the the law of multiplication of surd
([tex]\sqrt{2\\}[/tex])×([tex]\sqrt{3}[/tex]) = ([tex]\sqrt{6}[/tex]) ( This is an irational answer)
∴ ([tex]\sqrt{2}[/tex])×([tex]\sqrt{3}[/tex]) = [tex]\sqrt{6}[/tex]
(3) 2([tex]\sqrt{2}[/tex])×3([tex]\sqrt{3}[/tex])
Also applying the law of multiplication of surds i.e Multiply surds to surds and whole number to whole number
= 2×3×([tex]\sqrt{2}[/tex])×([tex]\sqrt{3}[/tex])
6×([tex]\sqrt{6}[/tex]) = 6(
Write an equivalent ratio for 1:2
Answer:
2:4
Step-by-step explanation:
Answer:
3:6
4:8
5:10
6:12
7:14
8:16
etc...
Michael took a graduate course at Caldwell college that cost $1,875. He had to take a student loan at a rate of 5 1/2% out to pay for it. If he plans on paying the loan off in 2 years, how much will he pay in total for the class?
Answer:
interest paid = $206.25
course = $1,875.00
total = $2,081.25
Step-by-step explanation:
Interest = Principal x Rate x Time
I = 1875(.055)(2)
I = 206.25
Greg invests $500 in a savings account that earns 4% simple interest annually. If he does not make any additional deposits or withdrawals, how much money will be in the savings account after 5 years?
Answer:
600
Step-by-step explanation:
Using the probabilities given, find the probability that a student earns a grade of A. (enter number in decimal form rounded to the nearest hundredth)
Answer:
0.14
Step-by-step explanation:
Here, we want to find the probability that a student earns the grade of A
Mathematically, we have this as the frequency of A divided by the sum of all frequencies
From the question, the sum of all frequencies will be (5 + 10 + 15+ 3 +2) = 35
Now we place the frequency of A over this
This gives;
5/35 = 1/7 = 0.14
7(x-2)=21 help me with this answer plz show work
Answer:
x=5
Step-by-step explanation:
7 times x
7 times 2
7x-14= 21
14+14= 21+ 14
7x=35
x=5
7 times five equals 35
If you place a 38-foot ladder against the top of a 25-foot building, how many feet will the bottom of the ladder be from the bottom of the building? Round to the nearest tenth of a foot.
Answer:
12
Step-by-step explanation:
Answer:
If you are on delta math its 28.6
Step-by-step explanation:
3/2 inches of snow fell in 3/4 of an hour. Which TWO statements are correct?
A) The unit rate is 2 inches of snow per hour.
B) The unit rate is 3 inches of snow per hour.
C) The unit rate is 9/8 inches of snow each hour.
D) At the same rate, 4 inches of snow will fall in 6 hours.
E) At the same rate, 12 inches of snow will fall in 6 hours.
Answer:
A) The unit rate is 2 inches of snow per hour.
&
E) At the same rate 12 inches of snow will fall in 6 hours.
Step-by-step explanation:
Answer:
a and e
Step-by-step explanation:
did it on usatestprep
Acar traveled 50 miles in 40 minutes. Assume that the car will continue at this constant
rate of speed. Which equation would accurately give the total number of miles, M, for
any given number of hours, h?
Answer:
M = 75h
Step-by-step explanation: The way you get this answer is my dividing 50/40 = 1.25. then do 1.25x60 (1 hr because you have to continue to miles per hour) which gives 75H.
There are 4 red cars and 8 black cards in a bag. How is it likely that you will randomly draw a blue card
Answer:
C) Impossible
Step-by-step explanation:
Since there are no blue cards, the probability that you'd draw one is 0/12, which means that there is no chance you'll draw one.
Find the area of the compound shape: *
what is the square root of 30
Answer:
hi
Step-by-step explanation:
i think so...
[tex] \sqrt{30} = 5.47[/tex]
have a nice day
HELPP MEE PLSSSS RNNNN NO LINKS OR I WILL REPORT YOU!!
In the slope-intercept equation for a line, the coefficient of the
-term gives the slope
Answer:
x
Step-by-step explanation:
The formula of a line in its slope-intercept form is
y= mx + b
the slope is indicated by “m” that multiply the x
f(x) = cos(x - 90°)
Which is the value of f(0°)?
A 1
B 0
C-1
1
2
Find the slope of the line segment shown
A . -1/2
B.-1
C.1/2
D.1
Answer:
1 is the correct answer
Step-by-step explanation:
y2-y1/x2-x1=slope
-2-3/-3-2
-5/=-5
1
Which of these expressions or phrases can be used to represent the model choose all the correct answers
Pls no BOT part ;(
Step-by-step explanation:
anyway.. for your answer i only know that number of fifths in 1 is correct I dont know about the rest.
Anne surveyed the 12 slowest runners in PE, class about their favorite sports,
Is this sample of the students in the PE, class likely to be biased?
Please help! This is past due and i need it in in like 30 minutes. Ill be posting more questions soon so stay here.
Answer:
384 square inches
Step-by-step explanation:
The side is 10×5=50
There are 4 sides of equal surface area so we are at 200
The floor is 8×10=80 so we are at 280
The front is 8×5=40 and the back is the same so add another 40 so we are at 360
Add the little triangles which are 4×3=12 and you add the back as well so we get 384 square inches
find the value of x in the triangle shown below
Answer:
√27
Step-by-step explanation:
use the pythagorean theorem
3²+x²=6²
9+x²=36
x²=27
√x²=√27
x=√27
Tú tienes la mitad de lo que tenías y tendrás el triple de lo que tienes. Si tuvieras lo que tienes, tenías y tendrás, tendrías lo que yo tengo que es 180 dólares más de lo que tú tendrás ¿Cuánto tenías? Ayuda por favor
Answer:
Nosotros teníamos 120 dólares.
Step-by-step explanation:
Sean [tex]x[/tex], [tex]y[/tex], [tex]z[/tex] lo teníamos, lo que tenemos y lo que tendremos, respectivamente. A continuación, traducimos puntos claves del enunciado en expresiones matemáticas:
(i) Tu tienes la mitad de lo que tenías:
[tex]y = \frac{1}{2}\cdot x[/tex] (1)
(ii) Tendrás el triple lo que tienes:
[tex]z = 3\cdot y[/tex] (2)
(iii) Si tuvieras lo que tienes, tenías y tendrás, tendrías lo que yo tengo que es 180 dólares más de lo que tu tendrás:
[tex]x+y+z = z + 180[/tex]
[tex]x + y = 180[/tex] (3)
En consecuencia, tenemos el siguiente sistema de ecuaciones lineales:
[tex]\frac{1}{2}\cdot x -y = 0[/tex] (1)
[tex]3\cdot y - z = 0[/tex] (2)
[tex]x + y = 180[/tex] (3)
La solución del sistema de ecuaciones es: [tex]x = 120[/tex], [tex]y = 60[/tex], [tex]z = 180[/tex].
Nosotros teníamos 120 dólares.
A ball is dropped from a 75 foot tall tower, and the height of the ball (in feet) can be represented by the equation h = —16t^2 + 75 where t is time (in seconds). Determine the amount of time it will take for the ball to hit the ground. Round your answer to the nearest hundredth of second. (Show Work)
Answer:
The ball will take approximately 2.165 seconds.
Step-by-step explanation:
The height of the ball is represented by the function [tex]h(t) = -16\cdot t^{2}+75[/tex], the time taken by the ball to hit the ground is a value of [tex]t[/tex] such that [tex]h(t) = 0[/tex], we proceed to solve the following equation for [tex]t[/tex]:
[tex]-16\cdot t^{2}+75 = 0[/tex] (1)
[tex]16\cdot t^{2} = 75[/tex]
[tex]t = \sqrt{\frac{75}{16} }[/tex]
[tex]t \approx 2.165\,s[/tex]
The ball will take approximately 2.165 seconds.
if bc is the diameter of the circle below, what is the area of the circle
Answer:
option a.
radius of the circle=3 units.
area of the circle= pi×r²
area of circle=pi×3²
area of circle=pi×9units²
Answer:
It's A. 9π square units.
Step-by-step explanation:
You know that bc is equaled to 6 since when you count it inside the circle, you get 6. Then you find the radius by dividing 6 by 2. So the radius is 3. You find the area by using this formula. A = π*[tex]r^{2}[/tex]. r = 3, so 3 square is 9. You don't know what is pi so you just write 9π. Therefore, the answer is A. 9π square units.
G(b) = 5b- 9 h(b) = (b - 1)^2 Evaluate. (hog)(-6) =
Given:
The two functions are:
[tex]g(b)=5b-9[/tex]
[tex]h(b)=(b-1)^2[/tex]
To find:
The value of [tex](h\circ g)(-6)[/tex].
Solution:
We have,
[tex]g(b)=5b-9[/tex]
[tex]h(b)=(b-1)^2[/tex]
We know that,
[tex](h\circ g)(b)=h(g(b))[/tex]
[tex](h\circ g)(b)=h(5b-9)[/tex]
[tex](h\circ g)(b)=[(5b-9)-1]^2[/tex]
[tex](h\circ g)(b)=[5b-10]^2[/tex]
Putting [tex]b=-6[/tex], we get
[tex](h\circ g)(-6)=[5(-6)-10]^2[/tex]
[tex](h\circ g)(-6)=[-39-10]^2[/tex]
[tex](h\circ g)(-6)=[-49]^2[/tex]
[tex](h\circ g)(-6)=2401[/tex]
Therefore, the value of [tex](h\circ g)(-6)[/tex] is 2401.
How do u figure out the rise and run without a graph
Can any of you guys help
Answer:
5
Step-by-step explanation:
Pythagoras theorem is a² = b² + c² (where a is the hypotenuse or the longest side)
To find the shorter side, you rearrange it so it becomes c² = a² - b² (whether it is c or b doesn't matter)
So √13² - 12² = 5
O D.y = -2x + 2
Q. If m=3 and b=6, what is the correct slope intercept equation?
answer choices
y=3-6
y=3X-6
y=3x+6
y=6x+3
US OP 10:31
Just need help with this !
Please anyone answer as soon as you can
Don’t send the link that hacks you :/
Answer:
check all boxes except for the last 1
Select the equivalent expression. −4(2a−3)+5a
1. 3(a+4)
2. −3(a−4)
3. −3(a+4)
4. 3(a−4)
twice a certain number x is less than 8. Find the range of values of the number
Answer:
F=2x +2
Step-by-step explanation:
The range of values for the certain number "x" is all real numbers less than 4.
Let's represent the certain number as "x."
The problem states that twice the certain number (2x) is less than 8. Mathematically, we can write this as:
2x < 8
Now, to find the range of values for "x," we need to solve for "x."
Divide both sides by 2:
x < 8/2
x < 4
So, the range of values for the certain number "x" is all real numbers less than 4. In interval notation, the range is (-∞, 4). This means "x" can take any value less than 4, including negative values and fractions that are less than 4.
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