What is the slope of the line through (-1,8) and (3,-4)?
Answers
Answer:
slope = -3
Step-by-step explanation:
See the pinned image.
Answer:
[tex]\displaystyle m=-3[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (-1, 8)
Point (3, -4)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m=\frac{-4-8}{3+1}[/tex][Slope] Subtract/Add: [tex]\displaystyle m=\frac{-12}{4}[/tex][Slope] Divide: [tex]\displaystyle m=-3[/tex]Related Questions
Explain why cos E
-
СВ/AB
Answers
Answer:
Note that the three identities above all involve squaring and the number 1.You can see the Pythagorean-Theorom relationship clearly if you consider the unit circle, where the angle is t, the "opposite" side is sin(t) = y, the "adjacent" side is cos(t) = x, and the hypotenuse is 1.. We have additional identities related to the functional status of the trig ratios:
Step-by-step explanation:
Pease help Marking Brainiest
Answers
Answer:
150 miles
Step-by-step explanation:
x = 30y
5 inches x 30 = 150 miles
A ship leaves the Port of Miami and travels due east toward the Bahamas for 3 miles. The ship turns due south and travels for some distance. The captain then looks back and determines that the ship is directly 10 miles from the starting point at the Port of Miami. How many miles did the ship travel south before the captain checked the distance to the Port of Miami? Round your answer to the nearest tenth. the
Answers
P(x)=0.2x^2+20x-4 where x is the number of units sold. How many units need to be sold for the business to make a profit of $101?
Answers
Answer:
5
Step-by-step explanation:
Given the profit equation ;P(x)
x = number of units sold
P(x) = profit made
P(x) = 101
101 = 0.2x^2+20x-4
0.2x^2+20x-4 - 101
0.2x² + 20x - 105 = 0
Using the formula:
-b±[sqrt(b² - 4ac) / 2a]
Where ;
a = 0.2 ; b = 20, c = - 105
Using the quadratic equation solver to save time :
The roots are :
-105 and 5
Items sold cannot be negative ;
Hence, x = units sold = 5
A spinner was spun 60 times and landed on the Number five 25 times. If the spinner is spun several times again, what is the probability that it will land on Number five? Round your answer to the nearest whole number.
Answers
Answer:
29.411 = 29
Step-by-step explanation:
Carol ate 25% of the candies in the bag. If Carol ate 24 candies, how many candies were there total in the bag?
Answers
Answer:
6
Step-by-step explanation:
100/4 = 25%
24/4 = 6
I NEED HHELLLPPPPPPPPPPPPPPPPPPPPP
Answers
Answer:
10.6
Step-by-step explanation:
Answer:
x = 122°
Step-by-step explanation:
since it is a right triangle, the sum of the other 2 interior angles = 90°
the angle opposite x = 90° - 32° = 58°
58° and angle x are supplementary angles. Their sum is 180°.
180° - 58° = 122°
¿En qué caso es más útil emplear el método de sustitución? ¿En qué caso es más útil emplear el método de reproducción
Answers
Answer:
I know this
Step-by-step explanation:
but I dont :) goodluck tho
pls help me ill mark you brainliest and show your work please
Answers
Answer:
Infinately many solutions.
Step-by-step explanation:
2x-4=2(x-2)
Distribute
2x-4=2*x-2*2
2x-4=2x-4
Since both sides are the same, there are infinately many solutions.
Hope this helps!
find the solutions for w
Answers
(Length) (width) (height)
(2w+4) (w) (18-w) = 1152
(2w^2+4w) (18-w) = 1152
Distributive property:
36w^2 -2w^3+72w-4w^2 =1152
Remember to use FOIL method:
-2w^3 +32w^2+72w-1152 =0
Like terms:
-2(w^3-16w^2-36w+576) = 0
Factor it by 2:
w^3 -16w^2-36w+576 =0
Simplify:
w^2(w-16)-36(w-16) =0
(w^2-36) (w-16) = 0
w= -6,6,16
Width:
w = 6,16
Since width is 16, then the height should be less than the width (18-16=2)
Length of gift bag: 2(6)+4
=16 inches.
Width of the bag: 6
Height of the bag: 18-6
12 inches.
Answer: 16, 6 and 12 inches.
Which is a quadrilateral that could have one pair of parallel sides and one pair of sides that are not parallel?
Answers
Answer:
trapezoid.
Step-by-step explanation:
A trapezoid is a convex quadrilateral. A trapezoid has at least on pair of parallel sides. the parallel sides are called bases while the non parallel sides are called legs
Characteristics of a trapezoid
It has 4 vertices and edges
If both pairs of its opposite sides of a trapezoid are parallel, it becomes a parallelogram
Area of a trapezoid = [tex]\frac{1}{2}[/tex] x (sum of the lengths of the parallel sides) x height
Perimeter = sum of lengths of sides of a trapezoid
A model of a statue has a height of 4 cm. The volume of the model is 12 cm3 . 3 The volume of the statue is 40 500 cm
Answers
Answer:Pencil, pen, ruler, protractor, pair of compasses and eraser ... Work out the volume of prism B. me x3' (X27). 15X27 = 405. 405 ..cm3 ... 3. Below are two similar parallelograms. X1.5. 4cm / A /. 6cm. B. The area of ... bon Area: 120 cm? 3 ... Two clay models of the Statue of Liberty are mathematically similar.
Step-by-step explanation:
Sorry If It Dont Help But It Helped Meh...Come Back To Meh If Its Wrong♀️....
Which expression represents all the solutions to the inequality
3(2x - 8) > 4x + 26?
Answers
Answer:
x > 25
Step-by-step explanation:
3(2x−8)>4x+26
Step 1: Simplify both sides of the inequality.
6x−24>4x+26
Step 2: Subtract 4x from both sides.
6x−24−4x>4x+26−4x
2x−24>26
Step 3: Add 24 to both sides.
2x−24+24>26+24
2x>50
Step 4: Divide both sides by 2.
2x
2
>
50
2
x>25
what is pi and how invented it??
Answers
Answer:
Step-by-step explanation:
The Egyptians calculated the area of a circle by a formula that gave the approximate value of 3.1605 for π. The first calculation of π was done by Archimedes of Syracuse (287–212 BC), one of the greatest mathematicians of the ancient world.
Answer:
π is a mathematical constant. Its commonly used value is 3.14. There is a expanded value for π. It appears in many formulas in all areas of mathematics and physics. In maths, it is commonly used for solving of circles and spheres.
The π was invented by Archimedes of Syracuse. He was one of the greatest mathematicians of the ancient world.
im stuck on this question
Answers
Answer: f
Step-by-step explanation: I chose f because m=29.57 which is is the starting point
The equation below describes a proportional relationship between x and y. What is the constant of proportionality?
y= 3/8x
The constant of proportionality is ___.
Answers
Answer:
y= 7/3
Step-by-step explanation:
A patient who originally weighed 340 pounds lost 60 pounds. What percent of his original weight did he lose?
Answers
Answer:
82.35%
Step-by-step explanation:
60 divided by 340=0.17647058823
Multiply that by 100 and you get 17.647058823
Next, round and you get 17.65
100-17.65=82.35
PLZ HELP IF CORECT WILL GIVE BRAINLIST
Answers
Answer:
65 meters
Step-by-step explanation:
you add all the side/numbers together
the table shows the results of a class survey About pets. suppose 53 students were surveyed. about how many students have one pet? Justify your answer.
Answers
Answer:
26.5
Step-by-step explanation:
The table shows that 1/2 of all the students surveyed have one pet.
[tex]53 \times \frac{1}{2} = 26.5[/tex]
Sloths climb through the canopy while hanging upside down. If it takes a sloth 10 minutes to climb 7.5 feet, what's its climbing speed in miles per hour?
Answers
Answer:
0.00852 miles per hour
Step-by-step explanation:
Given that:
Distance = 7.5 feets
Time taken = 10 minutes
Speed = distance / time taken
Speed = 7. 5 feets / 10 minutes = 0.75 feets / minutes
Converting to miles per hour :
0.75 feets / minute :
1 mile = 5280 feets
1 minute = 1/60 = 0.0166666 hour
0.75 feets / minute = (0.75/5280)mile / 0.0166666
= 0.0001420 / 0.0166666 mile per hour
= 0.0085200 miles per hour
= 0.00852 miles per hour
Someone please answer this! THANKSSSS
Answers
Answer:
in right angled triangle MNO
relationship between base and hypotenuse is given by cos angle
cosx°=b/h
cosx°=OM/MN
x°=cos-1(26/99)=74.77=74.8°
Answer:
∠ M ≈ 74.8°
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos M = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{OM}{MN}[/tex] = [tex]\frac{26}{99}[/tex] , then
∠ M = [tex]cos^{-1}[/tex] ([tex]\frac{26}{99}[/tex] ) ≈ 74.8° ( to the nearest tenth )
Help pls!!! question in the picture!!!
Answers
Answer:
The Y intercept is two
Step-by-step explanation:
The y intercept is the point on a graph where the graph crosses the y axis.
Basically, it is the value of y when x is 0 is (x,y)
Looking at the attached graph, our y intercept is (0,2), meaning that the y-intercept is 2.
The answer is: the Y-INTERCEPT is 2
21) Two functions each have an initial value of 1. One function is linear and has a slope of 10
while the other function is exponential with a growth factor of 1.1.
A) At what x-value does the exponential function's output exceed the linear?
Answers
Answer:
A) x = 68.55
Step-by-step explanation:
The initial value of a function can be the value of the function when x = 0.
So we have a linear equation:
f(x) = a*x + b
with a slope of 10, then:
f(x) = 10*x + b
and we know that:
f(0) = 1 = 10*0 + b
1 = b
Then the linear function is:
f(x) = 10*x + 1
And we have an exponential function g(x)
A general expoential function is written as:
A*(r)^x
where r is the growth factor, here we know that it is equal to 1.1
Then:
g(x) = A*(1.1)^x
And we know that:
g(0) = 1, then:
A*(1.1)^0 = A*1 = 1
Then A = 1
g(x) = (1.1)^x
So our two functions are:
f(x) = 10*x + 1
g(x) = (1.1)^x
We want to find the value of x such that the exponential function's output exceeds the linear one. This is kinda hard to do analytically, so we can do it graphically.
Below you can see the graphs of both functions, where we can see that for x = 68.55, the exponential function's output exceeds the one of the linear function.
If we want to find the point analytically, we need to solve:
10*x + 1 = (1.1)^x
Which is a transcendental equation, which means that can not be solved in close form. So usually we solve them graphically.
Here we can also check that for the found value:
g(68.55) = (1.1)^68.55 = 687
f(68.55) = 10*68.55 + 1 = 685.6
So this is not the exact value at which g(x) overcomes f(x), but is a good approximation.
What’s n=
In this problem
Answers
Answer:
90
Step-by-step explanation:
I'm not sure It looks like it would be a 90 degree angle. Plz let me know im really sorry if its wrong.
Bill has fruit trees on his farm, and 42 of them are apple trees. If apple trees represent 35% of all his fruit trees, how many total fruit trees dose he have?
Answers
Answer:
Step-by-step explanation:
t(35/100)=42
35t=4200
t=120
So there is a total of 120 fruit trees.
Answer:
Its 35.72
Step-by-step explination
couldn't insert a photo sorry, Iwas going to, but it wouldn't let me
Find the solutions to the equation x2 - 15x - 100 = 0.
Answers
Answer:
X= 20 or -5
Step-by-step explanation:
Stephanie wants to make 22.5 qt. of a 20%
alcohol solution by mixing together a 6%
alcohol solution and a 36% alcohol solution.
How much of each solution must she use?
Answers
Answer:
y = 10.5qt
x = 12 qt
Step-by-step explanation:
0.6x+ 0.36y = 22.5 * 0.2
0.06x + 0.36y = 4.5
x + y = 22.5
x = 22.5 - y
0.06(22.5 - y) + 0.36y = 4.5
1.35 - 0.06y + 0.36y = 4.5
0.3y = 4.5 - 1.35
0.3y = 3.15
y = 3.15 / 0.3
y = 10.5 qt
x = 22.5 - y
x = 22.5 - 10.5
x = 12 qt
5
A rectangle has a width that is 5 feet less than the length. The area of the rectangle is
126 square feet. Find the width of the rectangle. (Do not type units in the answer)
Answers
Answer:
Step-by-step explanation:
I need help with these
Answers
What is the exponential function (0,25) (1,50) (2,100) (3,200) (4,400)
Answers
Answer:
Step-by-step explanation:
If it is exponential dividing any term by the preceding term will be a constant, the common ratio or rate. 50/25=100/50...=2 The initial value, a, (at x=0) is 25 so the general form is
y=ar^x we have a=25 and r=2 so
y=25(2^x)