Answer:
[tex]y=\frac{-2}{3}x+8[/tex]
Step-by-step explanation:
Hi there!
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)
1) Determine the slope (m)
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where the given points [tex](x_1,y_1)[/tex] are [tex](x_2,y_2)[/tex]
Plug in the given points (0,8) and (3,6)
[tex]m=\frac{6-8}{3-0}\\m=\frac{-2}{3}[/tex]
Therefore the slope of the line is [tex]\frac{-2}{3}[/tex]. Plug this into [tex]y=mx+b[/tex]:
[tex]y=\frac{-2}{3}x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=\frac{-2}{3}x+b[/tex]
The y-intercept occurs when x=0. One of the given points is (0,8), so therefore, the y-intercept is 8. Plug this into [tex]y=\frac{-2}{3}x+b[/tex]:
[tex]y=\frac{-2}{3}x+8[/tex]
I hope this helps!
Given
PQ 1 PS
mZQPR = 73 – 9°
mZRPS = 4x + 22
Find mZQPR:
87
R.
Р
S
Answer:
The answer is in the picture.
Solve for x. Assume lines that appear to be tangent are tangent.
21
10
9
What is 9 x 7 squared
Answer: 441
Step-by-step explanation:
what is 2/3 of 1/4 THANKS!
Answer:
1/6
Step-by-step explanation:
[tex]2/3 \text{ of } 1/4 = (2/3)*(1/4) = 2/12 = 1/6[/tex]
Answer:
1/6
Step-by-step explanation:
(2/3)(1/4)=2/12=1/6
I need help on this help pls!
Step-by-step explanation:
Area of rectangle= l x b
= 245 x 245
=60025
Area of triangle = (1/2) x b x h
=(1/2) x 245 x 245
=30012.5
Area of shaded part = Area of rectangle - Area of triangle
=60025 - 30012.5
=30012.5
A high-school club has members the ratio of males to females is 5 to 3 how many males are in the club
Answer:
it depends on how many females are there
Step-by-step explanation:
I need to know how many females are there
Answer: If there are x total members, then the number of males is 5/8x
Which function describes the graph below?
Answer:
Step-by-step explanation:
There are no pics
y = 2x - 8
I need the answer
 someone help on number 2
Answer:D
Step-by-step explanation:
I'm prolly wrong so sorry
Answer:
I think it's 'D'
hopefully it's correct!
please help!!
show work(factoring)
u^4 - 3u^2 - 4
0.16x^2-49, factor using special products
Answer:
(.4x+7)(.4x-7)
Step-by-step explanation:
PLEASE hello please help i’ll give brainliest
Answer:
A
Step-by-step explanation:
First value is 1, second value is 2 and the third value is 6, 1+2 is 3, add 6 and you get 9
A ladder that is 30 feet long is placed against a house. The location of the ladder is 8 feet from the base of the house. How far up the house does the ladder reach? Round your answer to the nearest tenth of a foot
Answer:
28.9 m
Step-by-step explanation:
30²-8²=900-64= 836
√836 = 28.9 m
The Ladder reach 28.91 ft. up the house which is 8 ft. away from the base.
What is pythagoras theorem?The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.
Here, Given, length of ladder ( Hypotenuse ) = 30 ft.
Distance from base = 8 ft.
By Pythagoras theorem,
Hypo.² = perp.² + base²
30² = x² + 8²
900 = x² + 64
x² = 900 - 64
x² = 836
x = √836
x = 28.91 ft.
Thus, the Ladder reach 28.91 ft. up the house which is 8 ft. away from the base.
Learn more about Pythagoras theorem from:
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money is invested in a saving account at 12% simple interest.after one year there is $1680 in the account. how much was originally invested?
Answer:
it is eightyseven money
PLEASE HELP I'M ON THE FINAL MATH TEST AND GOT A 64 ON THE FIRST ATTEMPT AND I DON'T WANT TO FAIL AGAIN I'LL GIVE 100 POINTS BUT I HAVE SEEN A LOT OF PEOPLE SAYING IT'S 81 AND THAT IS WRONG
In the map below, the path from the whales to the sharks is parallel to the path from the penguins to the fish tanks.
A map of the aquarium at the City Zoo. A triangle has points whales, sharks, dolphins. The distance from Whales to sharks is 54 feet and from whales to dolphins is 30 feet. A triangle with points Dolphins, fish tanks, penguins. The distance from dolphins to fish tanks is 45 feet, and from penguins to fish tanks is x feet.
What is the distance between the penguins and the fish tanks?
25 feet
36 feet
69 feet
81 feet
Answer:
A. 25 feet
Step-by-step explanation:
write 3.402 as a fraction.
Answer:
that as a fraction is 3 and 201 over 500
Answer:
3 402/1000 = 3 201/500 simplified or 1701/500 as an improper fraction
Step-by-step explanation:
Consider the diagram.
Which equations are true? Select all true equations.
Answer:
Sum of angles of a triangle is 180, so x + y + w = 180
Straight angle is 180 , so y + z = 180
From the first 2 conditions :
=>x + y +w = y + z
=> x + w = z
Option 1, 2, 5
The equations which are true are given by,
w + x + y = 180w + x + y = 180y + z = w + x + yw + x + y = 180y + z = w + x + yw + x = z What is an Equation?Equation is a mathematical relation between more than one variable, number or mathematical quantities involving mathematical operations using equal sign in between them.
From angle sum property of triangle says that the sum of all interrior angles of a triangle is 180.
Here all interrior angles of triangle are x,y,w
So, x+y+w = 180
Hence first option is correct.
Again the exterrior angle of a triangle is equal to the sum of the opposite two interrior angles.
here exterrior angle is z and opposite two interrior of z are x,w
So, w+x = z
Hence last option is correct.
Again y+z = y+w+x
so second option is also true.
Hence correct options or equations are given by:
w + x + y = 180w + x + y = 180y + z = w + x + yw + x + y = 180y + z = w + x + yw + x = zLearn more about Equation here -
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Plant A is 14 inches tall and growing at a rate of 0.5 (½) inches each day. Plant B is 8 inches tall and is growing at a rate of 2 inches each day. When will plants A and B have the same height?
Answer:
They will both have a height of 16 inches in 4 days.
Step-by-step explanation:
Hope this helps :D
Adrian's recipe for cranberry relish calls for 1 3_4cups of sugar. He wants to use 1_2that amount. How much sugar should he use?
Answer:
7/8
Step-by-step explanation:
Andrea recipe for cranberry relish is
1 3/4
= 7/4
He wants to use 1/2 of that amount
Therefore the amount of sugar he should use can be calculated as follows
= 7/4×1/2
= 7/8
Point A is at (-1,8) and point B is at (7,3).
What is the midpoint of line segment AB?
Answer:
( 3, 5.5 )
Step-by-step explanation:
Let,
( x1, y1 ) = ( 7, 3 )
Where,
x1 = 7
y1 = 3
Let,
( x2, y2 ) = ( - 1, 8 )
Where,
x2 = - 1
y2 = 8
Formula : -
Midpoint = ( x1 + x2 ) / 2, ( y1 + y2 ) / 2
Midpoint of AB
= ( - 1 + 7 ) / 2, ( 8 + 3 ) / 2
= 6 / 2, 11 / 2
= ( 3, 11 / 2 )
= ( 3, 5.5 )
PLEASE HELP PLEASE HELP
Answer:
B) 24
Step-by-step explanation:
The area of the rectangle is 48 units (8 x 6).
The base of the is 6 units and the height is 8 units. The formula for the are of a triangle is A = [tex]\frac{1}{2}[/tex]bh.
b = base
h = height
A = [tex]\frac{1}{2}[/tex](6)(8)
A = 24
Answer:
[tex]24[/tex]
Step-by-step explanation:
If the area of a rectangle is bh, and the area of a triangle is bh/2, then a triangle's area is half a rectangle's area. Hence, if the area of the rectangle is 48, the area of the triangle is half of 48, or 24.
A baby pool contained 50 gallons of water. Water leaked out of the pool at a rate of 10 gallons every 3 days. At this rate, how many days did it take all 50 gallons of water to leak out of the barrel?
Answer:
15 days
Step-by-step explanation:
7. The local theatre performed a Saturday matinee to a crowd of 215 people. Tickets cost $11 child and $15 per adult, bringing in a total of $2877. Use an inverse matrix to determine the number of each type of ticket sold .
Answer:
The total number of child ticket sold = 87
The total number of adult ticket sold = 128
Step-by-step explanation:
Given - The local theatre performed a Saturday matinee to a crowd of 215 people. Tickets cost $11 child and $15 per adult, bringing in a total of $2877.
To find - Use an inverse matrix to determine the number of each type of ticket sold .
Proof -
Let the total number of child ticket sold = x
Let the total number of adult ticket sold = y
Given that, The local theatre performed a Saturday matinee to a crowd of 215 people.
⇒x + y = 215
Also,
Given that, Tickets cost $11 child and $15 per adult, bringing in a total of $2877
⇒11x + 15y = 2877
So,
The equations becomes
x + y = 215
11x + 15y = 2877
So,
The matrix form becomes
[tex]\left[\begin{array}{ccc}1&1\\11&15\end{array}\right]\left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}215\\2877\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}1&1\\11&15\end{array}\right| \left\begin{array}{ccc}215\\2877\end{array}\right ] \\\left[\begin{array}{ccc}1&1\\0&4\end{array}\right| \left\begin{array}{ccc}215\\512\end{array}\right ] \\\left[\begin{array}{ccc}1&1\\0&1\end{array}\right| \left\begin{array}{ccc}215\\128\end{array}\right ]\\\left[\begin{array}{ccc}1&0\\0&1\end{array}\right| \left\begin{array}{ccc}87\\128\end{array}\right ][/tex]
By comparing, we get
x = 87
y = 128
So, we get
The total number of child ticket sold = x = 87
The total number of adult ticket sold = y = 128
y−3x=5 what is m and c
Answer:
✺ [tex] \large \tt \: E \: X\: P\: L\: A \: N \: A \: T \: I \: O\: N : [/tex]
☃ [tex] \large{ \tt{GIVEN \: EQUATION}} : [/tex]
[tex] \large{ \bf{y - 3x = 5}}[/tex]
[tex] \large{ \bf{↬y = 3x + 5}}[/tex] [ Move 3x from left hand side to right hand side and change it's sign to addition since the opposite of subtraction is addition ]
Comparing y = 3x + 5 with equation of straight line in slope intercept from [ y = mx + c ] , We get :[tex] \boxed{ \large \:⟿ \tt \:Slope \: (m) = \boxed{ \tt{3} }}[/tex]
[tex] \boxed{ \large { \tt{⟿ \: Y - intercept \: (c \: ) = \boxed {\tt{ 5}}}}}[/tex]
☏ And we're done! Yay , We found our answer !
♕ [tex] \large{ \tt{STUDY \: TIP}}[/tex]
Schedule daily study time : This is the time to review your readings and lecture notes that help prepare for exams. Plan this as a cumulative review , not working on new information. ♪♡ Hope I helped! ✎
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A rectangle has an area of 70 m^2 and dimensions, in meters, of x and x + 2. Estimate each dimension of the rectangle to the nearest meter.
-7 and - 9
Step-by-step explanation:
Area of rectangule is length * width
1) Devin wants to play lazer tag for his birthday. He is comparing the cost of two companies. Lazer Zone charges $50 for parties, and an additional $10 per guest. Fun Palace charges $90 for parties, and an additional $6 per guest. For how many guests is the cost of both companies the same?
Answer:
10 guests
Step-by-step explanation:
Devin wants to play lazer tag for his birthday. He is comparing the cost of two companies.
Let us represent additional guests = g
Lazer Zone charges $50 for parties, and an additional $10 per guest.
=$50 + $10 × g
50 + 10g
For fun place
Fun Palace charges $90 for parties, and an additional $6 per guest.
= $90 + $6 × g
90 + 6g
For how many ?
We equate both Equations together
= 50 + 10g = 90 + 6g
Collect like terms
10g - 6g = 90 - 50
4g = 40
g = 40/4
g = 10
Hence, g = 10 guests
Therefore, the number of guests for which the cost of both companies is the same is 10 guests
The floor of the school music room is being tiled. The room is shaped like a parallelogram. The parallelogram has a base of 25 feet and a height of 11 feet. Each package of tile will cover 5 square feet. How many packages of tile will be needed to tile the music room floor? A=bh *
Answer:
Number of tile package need = 55 package of tile
Step-by-step explanation:
Given:
Base of parallelogram = 25 feet
Height of parallelogram = 11 feet
Each package of tile cover = 5 square feet
Find;
Number of tile package need
Computation:
Area of parallelogram = Base of parallelogram x Height of parallelogram
Area of parallelogram = 25 x 11
Area of parallelogram = 275 square feet
Number of tile package need = Area of parallelogram / Each package of tile cover
Number of tile package need = 275 / 5
Number of tile package need = 55 package of tile
In New York City, a local park is located at (3,-4). Susan runs from the park to a healthy smoothie spot at (3,4) and then to her house at (0,-1). Represent the locations as points on a coordinate grid with a unit of 1 mile.
A)What is the distance from the local park to the healthy smoothie spot?
B)Find the area of this figure.
11m −4/3=2m+5/3
pls tell me this answer is the answer 3
Answer:
m=1/3
Step-by-step explanation:
11m- 4/3=2m+5/3
-2m. - 2m
9m -4/3=5/3
+4/3.+ 4/3
9m= 9/3
m=1/3
Which is bigger 1/7 or 0.14
Answer:
Both are equal
Step-by-step explanation:
please mark me brainliest
Answer:1/7
Step-by-step explanation: