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]
Find f(-2)for f(x)-3 . 2^x
4 2/3 divided by 1/2
Answer:
9 1/3
Hope I helped
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:
4x + 6y = 2
-4x+ 4y = -12
Answer: (2,-1)
Step-by-step explanation: I learned this earlier in the year
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:
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).
To know more about Trigonometric functions click here
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ill give the crown things
Members of the drama club sold T-shirts for their upcoming musical. Of the 80 shirts sold, 45% were size medium. How many of the T-shirts sold were size medium?
Answer:
36
Step-by-step explanation:
45% = [tex]\frac{45}{100}[/tex]
No. of T-shirts size medium = [tex]\frac{45}{100}[/tex] × 80
= 36
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:
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:
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.
what is the domain and range for y=-x^2-8x-16
Which set of ordered pairs is made up of points on the graph of the function below? y=2x+3
What is .125 written as a percent
Answer:
12.5%
Step-by-step explanation:
Please mark brainliest.
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!
1)
TRUE / FALSE:
The polynomial –2x4 + 20x2 – 9x5 + 7 is a polynomial of degree 5 (has degree equal to 5).
A photocopy of a polygon was reduced to 80% of its original size. The , the copy was again reduced to 80% of its size. What is the ratio of the corresponding sides of the second photocopy to the original?
What is the answer for x? 7/9 - x/9 = 1/3 Please answer ASAP!!!!!
Answer:
x=4
Step-by-step explanation:
7/9 - x/9 = 1/3
I like to get rid of fractions so I will multiply each side by 9
9*(7/9 - x/9) = 1/3*9
7 - x = 3
Subtract 7 from each side
7-x-7 = 3-7
-x= -4
Multiply each side by -1
x =4
I need help please thank you
Answer:
D I'm sure....................... :D
Answer:
ok surly yes always
Step-by-step explanation:
i think it is D
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
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:
PLZ SOMEONE HELP ME WHAT IS 10 + 10 devided by 10 then subtracted by 0 then + 1000000000
Answer:
10+10= 20/10= 2-0= 2+1000000000= 1000000002
Step-by-step explanation:
Answer:
the answer is 1000000011
Step-by-step explanation:
10+10/10-0
10/10=1
10+1-0
11-0=11
1000000011
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. (:
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!***
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
Combine the like terms for this problem:
За + 9y - 7а - 2y + 6а - Зу
Answer:
2a - 4y
Step-by-step explanation:
Answer:
(3a -7a + 6a) + (9y - 2y - 3y)
2a + 4y is the final answer
Step-by-step explanation:
Write these numbers in order of size.
Start with the smallest number
0.13 3/20 12% 1/10 0.09
What is the solution to the System of Equations graph below?
2
y = -3x + 2
0
0
3
6
-2-
v=x-6
(2, 4)
B (2,-4)
C (-4, 2)
D) (4,2)
Answer:
D?
Step-by-step explanation:
f(x) = 2x + 3 - (x + 10 )