Answers
Answer:
Let’s use the slope formula to calculate the slope of a line, using just the coordinates of two points. The line passes through the points (1, 4) and (-1, 8). Let’s call the point (1, 4) point 1, and the point (-1, 8) point 2. That means x1 = 1, y1 = 4, x2 = -1, and y2 = 8.
Example
Points
Coordinates
(1, 4)
x1 = 1
y1 = 4
(-1, 8)
x2 = -1
y2 = 8
The slope formula is . When we put the coordinates into the formula, we get the equation . This reduces to m = -2. The slope of the line is -2.
It is important to realize that it doesn’t matter which point is designated as 1 and which is 2. We could have called (-1, 8) point 1, and (1, 4) point 2. In that case, putting the coordinates into the slope formula produces the equation . Once again, that simplifies to m = -2. That’s the same slope as before.
Step-by-step explanation:
Slope is the ratio of the vertical and horizontal changes between two points on a surface or a line. The vertical change between two points is called the rise, and the horizontal change is called the run. The slope equals the rise divided by the run: . This simple equation is called the slope formula.
Related Questions
In AMNO, the measure of Z0=90°, the measure of ZM=13°, and OM = 9.6 feet. Find
the length of MN to the nearest tenth of a foot.
Answers
Answer:
Hypotenuse MN = 10.54 ft (Approx.)
Step-by-step explanation:
Given:
Base OM = 9.6 ft
Angle θ = 13'
Find:
Hypotenuse MN
Computation:
Using trigonometry function
Cos θ = Base / Hypotenuse
Cos 13 = 9.6 / Hypotenuse
0.97 = 9.6 / Hypotenuse
Hypotenuse MN = 10.54 ft (Approx.)
Consider the equation x2 = 36. Which of the statements below are true? Select all that apply.
x= v6 is a solution.
x = 6 is a solution.
x = -6 is a solution.
x = -6 is a solution.
There is no solution.
The solution is all real numbers.
Answers
+6, -6
Step-by-step explanation:
if the equation is x^2 = 36 then the solving for x we get the square root of 36 which is positive or negative 6
Mrs. Harrison records the number of vacation days employees in her department have used this year. The histogram below shows the recorded data.
Which of the following is the best measure of center for the data?
Answers
In ΔABC, the measure of ∠C=90°, the measure of ∠A=63°, and AB = 35 feet. Find the length of CA to the nearest tenth of a foot.
Answers
Answer:
x ≈ 15.9 ft
Step-by-step explanation:
Reference angle = <A = 63°
Hypotenuse = AB = 35
Adjacent = CA = x
Apply trigonometric function CAH:
Cos A = Adj/Hyp
Plug in the values
Cos 63 = x/35
35 × cos 63 = x
15.8896675 = x
x ≈ 15.9 ft
roads diverge at an angle of 70 degree. aurea walks on the first road at 4kph while marcelino on the other road at 5 kph. both start walking at the diversion point. how far are they after 3 hours?
Answers
Answer:
ggyfuae5iyrsi6rs6esyleslysyrslur
Use f(x)=-2x+5 to find x when f(x)=11
Answers
Then you subtract 5 on both sides because of the opposite of addition is subtraction.
6=-2x
now divide on both sides
x=-3
solve for the equation
5= g/8
g=? g equals
Answers
rewrite the equation to g/8=5
multiply both sides by 8
cancel the common factors (cancel both 8s)
rewrite g=8 x 5
solve 8 x 5 (equals 40)
g=40
please help me i really need help please please please
Answers
Explanation: Because this a right triangle, you can apply the pythagorean theorem which is a^2 + b^2 = c^2. a and b can be any side except the hypotenuse (the one across from the 90° angle). You take 90^2 + 75^2 = c^2. This equals 13,725 after that you can take the square root of it and you're left with ≈ 117.15375m
Hope this helped! :)
Two forces of 401 newtons and 477 newtons act on a point. The resultant force is 828 newtons. Find the
angle between the two forces.
The angle between the two forces is ____°
(Round to the nearest integer as needed.)
Answers
Answer:
The answer is "[tex]39.01^{\circ}[/tex]"
Step-by-step explanation:
[tex]\to R= 828\\\\\to F_1= 401\\\\\to F_2=477\\\\\to \bold{R=\sqrt{F_1^2+F_2^2+2F_1F_2 \cos \theta}}[/tex]
[tex]828=\sqrt{401^2+477^2+2 \times 401 \times 477 \cos \theta}\\\\828=\sqrt{160801+227529+382554 \cos \theta}\\\\828=\sqrt{388330+382554 \cos \theta}\\\\[/tex]
square the above equation:
[tex](828)^2=(\sqrt{388330+382554 \cos \theta})^2\\\\[/tex]
[tex]685584 =388330+382554 \cos \theta\\\\685584 -388330=382554 \cos \theta\\\\297254=382554 \cos \theta\\\\\cos \theta=\frac{297254}{382554}\\\\\cos \theta=0.777025\\\\\theta= \cos^{-1} 0.777025\\\\\theta= 39.01^{\circ}[/tex]
Can someone help me? Thank you :)
Answers
Answer:
um i cant see the question
Step-by-step explanation:
Please help quickly what's the answer Ill give u brainlest
Richard deposits $193.67 every month into his mortgage. At the end of 30 years, he has a balance of $120,182.07. What interest has accrued (been earned) over 30 years?
Answers
Answer:
$50,460.87 of interest has been accrued.
Step-by-step explanation:
Richard deposits $193.67 every month into his mortgage.
Each year as 12 months. So after 30 years he will have deposited:
$193.67*12*30 = $69,721.2
At the end of 30 years, he has a balance of $120,182.07. What interest has accrued (been earned) over 30 years?
Interest is total subtracted by deposits. So
120,182.07 - 69,721.2 = $50,460.87
$50,460.87 of interest has been accrued.
Simplify this expression: 4y(3y)
Answers
Answer:
12y^2 BC 4*3= 12 and then all you have to do is add the variable and square it.
Step-by-step explanation:
Hope you have a good day
Answer:
12y²
a
n
s
w
e
r
proved
l
h
s=
r
h
s
a = 10, b = 24, c = _____
Answers
Answer:
c=26
Step-by-step explanation:
By using pythagoram thoerem
c^2=a^2+b^2
c^2=(10)^2+(24)^2
c^2=100+576
c^2=676
c=sqrt(676)
c=26
c=26
A school has a population of 2500 students. The number of students is increasing at continuous growth rate of 4.5% each year. Which of the following
formulas models the population of this school?
A. A = 2500e ^-0.045t
B. A = 2500e^4.5t
C. A = 2500e^0.045t
D. A = 25000e^450
Answers
Answer:
C
Step-by-step explanation:
Use the given information to find the new price. Round to the nearest cent.
Original Price: $28
Discount Rate: 28%
Answers
Answer:
Step-by-step explanation:
7.84 = 8.
Answer:
Original Price: $28
Discount Rate: 28%
new price=?
we have
discount:
28% of 0riginal Price=28/100×$28=$7.84
now
new Price=original -discount price=$28-7.84=$20.16 is your answer
Please show steps to this problem
Answers
Answer:
Answer is D. 1572 square units.
Convert the complex number from polar to rectangular form
z=cis(7pi/6)
Answers
135 26x
Burger town sells cheeseburgers for $7.95 each plus an additional $1.00 for each extra toppings, t. Which of the following equation best represents the cost, c, of a
Answers
Answer: $7.95+$1t ?
Step-by-step explanation:
Answer:
I assume the answer would be the burger plus toppings is equal to cost so
7.95+t*1.00=c
The double number line shows how far a hummingbird can fly in 1 second.
Answers
Answer:
1st box-1
2nd box-3
3rd box-130
Step-by-step explanation:
On the number line, 13 metres is in line with 1 second. So, that means the hummingbird flies 13m/s.
Then to work out the second box, for how much time it takes to travel 39 metres, you would have to do 39÷13=3. This means that in 3 seconds, the hummingbird flies 39 metres in 3 seconds.
To work out how many metres the hummingbird flies in 10 seconds, you would have to do 13×10=130. The reason why you times 13 by 10 is because the hummingbird does 13 metres in 1 second, but we want 10 seconds, so we times it.
Hope this helps :)
Answer:
1st box-1
2nd box-3
3rd box-130
Step-by-step explanation:
the other person gets the credit he did it before me
Enter a phrase for the expression
Answers
Answer:
The quotient of x and 11.
Step-by-step explanation:
Given:
[tex] \frac{x}{11} [/tex]
Required:
Write the expression in words
Solution:
In the expression given, we have the numerator which is the dividend (x), and the denominator which is the divisor (8).
So, we are dividing x into 8 parts.
A quotient is the result you get when you divide the dividend by the divisor.
✅In describing the expression in words, we would use the following phrase:
The quotient of x and 11.
The dividend is mentioned first before the dividend.
Hey! please help! i don't understand these type of questions! Please answer the question and explain how you got the answer! Thanks!
Answers
help please need asap
Answers
Answer:
4.5
Step-by-step explanation:
4 * 1.5 = 6
3* 1.5 = 4.5
1.5=6
I think
I NEED HELP WITH THIS QUESTION!!!!
Answers
9514 1404 393
Answer:
see attached
(x, y) = (8, 4)
Step-by-step explanation:
The relations given in the problem statement let you write two equations. One for the number of shots, and one for the number of points. The variables x and y are defined in the problem statement.
x + y = 12 . . . . . total number of shots
x + 2y = 16 . . . . total number of points
__
These equations are easily plotted by considering their x- and y-intercepts. The x-intercepts of the equations are found when y=0, so are 12 and 16, respectively.
The y-intercepts are found when x=0, so are 12 and 8, respectively. The two lines are shown in the attached. The first is blue; the second is red. Their point of intersection at (x, y) = (8, 4) is circled.
the number of free throws Angel made was 8the number of 2-point shots Angel made was 4Answer:
the answer is (x, y) = (8, 4)
The garden staff can mow 45 lawns in 10 hours at this rate how many lawns can they mow in 6 hours
Answers
Answer:
b
Step-by-step explanation:
Answer:
27 lawns.
Step-by-step explanation:
45÷10
4.5
So every hour they mow 4.5 lawns.
Now do 4.5 • 6
So 27 lawns
Hope this helps
Please help I’ll mark you as brainliest if correct
Answers
Answer:
Option 4 is correct
x° + 126° = 180° and value of x is 54°
Step-by-step explanation:
Here, In a given Triangle two sides are equal i.e., Isosceles Triangle.
We know that, in a triangle the sum of all angles Is 180°.
If two sides are equal then also two angles are also equal of that sides.
Now,
63° + 63° + x° = 180°
x° + 126° = 180°
Now, To find the value of x
x° + 126° = 180°
x° = 180° - 126°
x = 54°
Thus, The value of x is 54°
FOR VERIFICATION ONLY:-x° + 126° = 180°
54° + 126° = 180°
180° = 180°
Hence, L.H.S = R.H.S
-TheUnknownScientist
Answer:
the value x is 54
I am sure
the probability of it raining on a given day is 3/8
what is the probability of its not raining
Answers
5/8
Step-by-step explanation:
Probability of raining = 3/8
Total days= 8/8
Then probability of not raining= 8/8 - 3/8
= 5/8
Answer:
5/8.
Step-by-step explanation:
These probabilities add up to 1 so
Probability(Not Raining)
= 1 - 3/8
= 8/8- 3/8
= 5/8.
Two methods, A and B, are available for teaching a certain industrial skill. The failure rate is 30% for method A and 10% for method B. Method B is more expensive, however, and hence is used only 20% of the time. (Method A is used the other 80% of the time.) A worker is taught the skill by one of the two methods, but he fails to learn it correctly. What is the probability that he was taught by using method A
Answers
Answer:
Probability that he was taught by using method A is 14/17
Step-by-step explanation:
Following probabilities are given -
P (F|A) = 0.2
P (F|B) = 0.1
P (A) = 0.7
P (B) = 0.3
Now, P(A|F) = { P (F|A)* P(A)}/{{ P (F|A)* P(A)} + P (F|B)* P(B)}}
P(A|F) = (0.2*0.7)/( (0.2*0.7)+(0.1*0.3)) = 14/17
Answer the question
Answers
Answer:
D
Step-by-step explanation:
demos
help?? i will mark the correct answer brainlest!!
Answers
Answer: 13 is the first one and the second one is 15
Step-by-step explanation:
True or false. If false write the correct statement
1. The depreciation takes place by a specific rate for a specific time