what is the slope of (1,6) (3,0)
Answer:
-3
Step-by-step explanation:
Use the slope formula:
y2-y1/x2-x1 to find the slope
0-6/3-1 = -6/2, or -3
Answer:
m = − 3
Step-by-step explanation:
Write an equation in point-slope form for the line through the given point with the given slope. (-3,5); m=2/3
Answer:
The equation in the point-slope form will be:
[tex]y-5=\frac{2}{3}\left(x-\left(-3\right)\right)[/tex]Step-by-step explanation:
Given
point = (-3, 5)slope = m = 2/3Using the point-slope form of line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
here
m is the slope(x₁, y₁) is the pointsubstituting the values m = 2/3 and the point (-3, 5) in the point-slope form of the line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y-5=\frac{2}{3}\left(x-\left(-3\right)\right)[/tex]
Thus, the equation in the point-slope form will be:
[tex]y-5=\frac{2}{3}\left(x-\left(-3\right)\right)[/tex]
NOTE: The equation in the point-slope can be further simplified such as:
[tex]y-5=\frac{2}{3}\left(x-\left(-3\right)\right)[/tex]
[tex]y-5=\frac{2}{3}\left(x+3\right)[/tex]
Add 5 to both sides
[tex]y-5+5=\frac{2}{3}\left(x+3\right)+5[/tex]
[tex]y=\frac{2}{3}x+7[/tex]
What is .125 written as a percent
Answer:
12.5%
Step-by-step explanation:
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A group of students were in a disagreement about how to solve for x in the figure.
Which method could be used to solve?
x
12
30%
Answer:
C.using sin(30⁰).
because A=sin 30⁰bh
The vertex of a parabola is (6,2), and the equation of its directrix is y = 4.
What is the equation of this parabola in standard form?
(y−2)2=8(x−6)
(x−6)2=−8(y−2)
(y−2)2=−8(x−6)
(x−6)2=8(y−2)
Answer:
Step-by-step explanation:
If you plot the vertex and the directrix, you'll see that the directrix is a horizontal line above the vertex. That means that the parabola opens upside down and has the standard equation:
[tex](x-h)^2=-4p(y-k)[/tex] where h and k are the coordinates of the vertex and p is the number of units between the directrix and the vertex. From the vertex we determine that h = 6 and k = 2. And by counting, we determine that p = 2. Filling in the equation then gives us:
[tex](x-6)^2=-4(2)(y-2)[/tex] and simplifying just a tiny bit will get us what we need:
[tex](x-6)^2=-8(y-2)[/tex] which is the second choice down.
The equation of this parabola in standard form is (x - 6)² = -8(y - 2) if the vertex of a parabola is (6,2) option (C) is correct.
What is a parabola?It is defined as the graph of a quadratic function that has something bowl-shaped.
(x - h)² = 4a(y - k)
(h, k) is the vertex of the parabola:
a = √[(c-h)² + (d-k²]
(c, d) is the focus of the parabola:
It is given that:
The vertex of a parabola is (6,2), and the equation of its directrix is y = 4.
The standard form of the parabola:
y = a(x - h)² + k
y = a(x - 6)² + 2
As the directrix is y = 4
The equation of the parabola becomes:
(x - 6)² = -8(y - 2)
Thus, the equation of this parabola in standard form is (x - 6)² = -8(y - 2) if the vertex of a parabola is (6,2) option (C) is correct.
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The solution is...?
Thanks in advance.
Answer:
Answer has been attached above thanks
Find f(-2)for f(x)-3 . 2^x
Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a diameter of 14 feet and a height of 19 feet. Container B has a diameter of 12 feet and a height of 20 feet. Container A is full of water and the water is pumped into Container B until Conainter B is completely full.
After the pumping is complete, what is the volume of water remaining in Container A, to the nearest tenth of a cubic foot?
Answer:
6ft
Step-by-step explanation:
12/2 =6 which means its 6 ft, ur welcome
Answer:
6ft
Step-by-step explanation:
***If you found this answer please press the heart button and mark me brainliest, thanks!***
1. What is 7/8 rounded to
a. 0
b. 1/2
c. 1
2. What is 2/5 rounded to
a. 0
b. 1/2
c. 1
3. What is 9/10 rounded to
a. 0
b. 1/2
c. 1
4. What is 2/15 rounded to
a. 0
b. 1/2
c. 1
Answer:
1). 1
2) 0
3) 1
4). 0
Step-by-step explanation:
hope this helps you!
Question 28 (1 point)
Describe the slope of the line. Then find the slope.
4
2
(3, 1)
-2
+(3, 3)
4
a
a
zero; 0
positive; 1
Ob
Ос
negative; - 1
d
undefined
12
11
14
15
13
16
17
>
19
19
20
0
Which property was used to write the equation in step 2?
Step 1: 5(x-7) - 55
Step 2 5x-35-55
Step 3 (5x=90
Step 4
X = 18
VA
distributive property
o addition property of equality
o subtraction property of equality
o division property of equality
Yes
Answer:
distributive proper
Step-by-step explanation:
mulitiply
Which polynomial identity will prove that (3 + 6)2 = 81?
A) Difference of Squares
B) Difference of Cubes
C) Sum of Cubes
D) Square of a Binomial
Answer: D) Square of a Binomial
Step-by-step explanation:
There is a right triangle with sided of lenght 33, 56 and 65. Let x be the angle opposite the side of lenght 56.
A. Sin(x)=
B.Cos(x)=
C.Sin(2x)=
D.Sin(x/2)=
Answer:
sin x = 33/65, cos x = 56/65, tan x = 33/56,
sec x = 65/56, csc x = 65/33, cot x = 56/33
Step-by-step explanation:
Hope This Helps
Hey! Help me with this Question Please!
Answer:
c
Step-by-step explanation:
beacuse if you multiply all
Answer:
C
Step-by-step explanation :
The side length is 30 and if it's 3cm for 5 that would be 18, and since we are doing area we need to multiple that 18 by itself since it's a square and squares side lengths are the same
Given the formula : Find the amount of money accumulated if you invested $25,000 at 4.3% interest for 8 years compounded monthly.
Answer: $35,242.79 given the formula
There are 903 books at the school library. At the local bookstore there are 6 times the amount of books. How many books are there at the bookstore?
Answer:
5,418 books
Step-by-step explanation:
What is the balance in an account where $250 was deposited at 1% interest after 4 years?
Answer:
$260
Step-by-step explanation:
$250 x .01 = $2.50 x 4 years = $10
$250 + $10 = $260
You are playing a video game. For each diamond you collect, you earn 110 points. You also earn 80 bonus points by completing the level in less than 2 minutes. You need to earn more than 2000 points to continue on to the next level. Write and solve an inequality that represents the number d of diamonds you must collect in less than 2 minutes to advance to the next level.
NEED HELP ASAP
Answer:
i need helppppppppppppppp
Step-by-step explanation:
How can I select tools to model the part of a whole?
There are more than 30 students in Benedict's math
class.
Graph and check the solutions of the inequality. Then
complete the statements,
S> 30
Draw
circle at
0
10
20
30
40
Shade all numbers
Check the graph of the solution by substituting in
for the variable.
Answer:
(an open) (30) (greater than 30) ( 40)
Step-by-step explanation:
I did the assignment on Edge 2020
draw (an open) circle at (30) shade all numbers (greater than 30) check the graph of the solution by substituting (40) in for the variable .
Answer:
There are more than 30 students in Benedict’s math class.
s > 30
A number line going from 0 to 40.
Graph and check the solutions of the inequality. Then complete the statements.
Draw
✔ an open
circle at
✔ 30
.
Shade all numbers
✔ greater than 30
.
Check the graph of the solution by substituting
✔ 40
in for the variable.
Step-by-step explanation:
3 1/2 divided 2 3/5 in its simplest form
Answer:
9.1 is answer or 91/10 or 9 1/10
Hans drove 715 miles in 13 hours.
At the same rate, how long would it take him to drive 275 miles?
Answer:
It would take hans around 5 hours to drive 275
Step-by-step explanation:
first we divide 715 by 13 which gives us 55, so in 1 hour he can drive 55 miles then we do 275 divided by 55 which gives us 5, so the answer is 5.
At the rate 55 miles per hour, it takes 5 hours to travel 275 miles.
Given that, Hans drove 715 miles in 13 hours.
Average speed is calculated by dividing a quantity by the time required to obtain that quantity. Meters per second is the SI unit of speed. The formula S = d/t, where S is the average speed, d is the total distance, and t is the total time, is used to determine average speed.
Here, average speed = 715/13
= 55 miles per hour
At the same rate,
Time = 275/55
= 5 hours
Therefore, at the rate 55 miles per hour, it takes 5 hours to travel 275 miles.
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What is the midpoint of KL
Answer:
k
Step-by-step explanation:
Answer:
Ummm... You didn't attach a picture lol.
Step-by-step explanation:
Have a great day! Good luck!
what is the domain and range for y=-x^2-8x-16
If anyone knows this please respond asap. If you do know this please make sure you’re 100% sure this is my last question and I can’t get it wrong. Thank you. I’m throwing in some extra points if you explain and get it right. (:
Can anyone please help me which statement is not correct? (use estimation to decide please)
Answer:
Step-by-step explanation:
A is correct.
2/3 > 4/8
5/9 > 7/12 This one is close. They are both nearly 1/2, but 9<12 and when you divide something by 9 the remainder is going to be larger than if you divide by 12.
The second one is incorrect.
3/4 > 5/9 5/9 is close to 1/2. Three quarters is much greater than 1/2
3/10 is much smaller than 5/9
The third one is correct. 1/10 and 5/6 are much larger than the two fractions on the right. The right side = 56/60 which is very nearly one. The left side is nowhere near that large. (I did estimate the right side).
The fourth one is correct. 9/10 is much larger than 2/3 and 5/9 is larger than 5/12. 5/9 is over 1/2 and 5/12 is under one half. So the arrow in the fourth one is going the right way.
Which is the graph of the inverse secant function?
Answer:
A
Step-by-step explanation:
The second graph is the inverse secant function.
To find graph of the inverse secant function.
What is Inverse trigonometric functions?Inverse trigonometric functions are simply defined as the inverse functions of the basic trigonometric functions which are sine, cosine, tangent, cotangent, secant, and cosecant functions.
The reciprocal cosine function is secant: sec(Ф)=1/cos(Ф). The reciprocal sine function is cosecant, cosec(Ф)=1/sin(Ф).
So, the second graph is the inverse secant function.
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Which is parallel to x-3y=24
Answer:
3Y=x-24
Y=1\3x-8
Step-by-step explanation:
Any equation that has a slope equals to 1\3
A rectangle had an area of 3/2 square yards if the width of the rectangle is 1/2 yard what is the length of the rectangle in yards
Answer:
Length = 3
Step-by-step explanation:
the formula for area of a rectangle is Area = Base (width) x Height (length)
so plug in out values: 3/2 = 1/2 x H
divide both sides by 1/2 to find the height/length: 3/2 ÷ 1/2 = Height
to divide a fraction by a fraction, flip the divisor and change the sign from ÷ to ×
so you get 3/2 × 2/1 = Height
the 2 cancels out, so you get: 3 = height/length
Given: Sine (A) = four-fifths, StartFraction pi Over 2 EndFraction < A < Pi and Sine (B) = StartFraction negative 2 StartRoot 5 EndRoot Over 5 EndFraction, pi, Pi < B < StartFraction 3 pi Over 2 EndFraction
What is the value of cos(A – B)?
Negative StartFraction 2 StartRoot 5 EndRoot Over 25 EndFraction
Negative StartFraction StartRoot 5 EndRoot Over 5 EndFraction
StartFraction 2 StartRoot 5 EndRoot Over 5 EndFraction
StartFraction 11 StartRoot 5 EndRoot Over 25 EndFraction
The value of [tex]Cos(A - B)[/tex] will be [tex](\frac{-\sqrt{5} }{5} )[/tex].
What are trigonometric functions ?Trigonometric functions are the periodic functions which denote the relationship between angle and sides of a right-angled triangle.
We have,
[tex]Sin(A) = \frac{4}{5}[/tex] , [tex]\frac{\pi }{2} < A < \pi[/tex]
[tex]Sin(B) = \frac{-2\sqrt{5} }{5}[/tex] , [tex]\pi < B < \frac{3\pi }{2}[/tex]
So,
Using identity ;
[tex]Cos(A - B)= CosA\ *\ Cos B + Sin A\ *\ Sin B[/tex]
So,
First find [tex]SinB[/tex] and [tex]CosA[/tex];
i.e.
[tex]CosB=\frac{-\sqrt{5} }{5}=\frac{-1}{\sqrt{5} }[/tex], [tex]\pi < B > \frac{3\pi }{2}[/tex]
[tex]CosA=\frac{-3}{5}[/tex], [tex]\frac{\pi }{2} < A > \pi[/tex]
Now,
Substituting values,
[tex]Cos(A - B)= CosA\ *\ Cos B + Sin A\ *\ Sin B[/tex]
[tex]Cos(A - B)= ((\frac{-3}{5})\ *\ \frac{-1}{\sqrt{5}} ) +((\frac{4}{5})\ *\ \frac{-2\sqrt{5} }{5} )[/tex]
Simplify,
[tex]Cos(A - B)= (\frac{3 }{5\sqrt{5}} ) -(\frac{8 }{5\sqrt{5}})[/tex]
[tex]Cos(A - B)= (\frac{-5 }{5\sqrt{5}} )[/tex]
[tex]Cos(A - B)= (\frac{-1 }{\sqrt{5}} )[/tex]
Or we can write
[tex]Cos(A - B)= (\frac{-\sqrt{5} }{5} )[/tex]
Hence, we can say that the value of [tex]Cos(A - B)[/tex] will be [tex](\frac{-\sqrt{5} }{5} )[/tex] which is given in option (b).
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