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First we need the equation of line AB. Compute the slope through (-3,-1) and (4,4)
m = (y2-y1)/(x2-x1)
m = (4-(-1))/(4-(-3))
m = (4+1)/(4+3)
m = 5/7
This is the slope through points A and B, ie the slope of line AB.
To get the slope of line BC, we flip the fraction and change the sign.
Doing so has us go from 5/7 to -7/5. Note how 5/7 and -7/5 multiply to -1.
The slope of line BC is -7/5. Let m = -7/5.
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Use (x,y) = (4,4) along with m =-7/5 to find the equation of line BC
y = mx+b
4 = (-7/5)(4) + b
4 = -28/5 + b
20 = -28 + 5b ... multiply every term by 5 to clear out the fraction
20+28 = 5b
48 = 5b
5b = 48
b = 48/5
With m = -7/5 and b = 48/5, we go from y = mx+b to y = (-7/5)x+48/5
The slope intercept form for line BC is y = (-7/5)x+48/5
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Let's get this into standard form Ax+By = C
y = (-7/5)x+48/5
5y = -7x + 48 .... multiply everything by 5
7x+5y = 48 .... is one way to represent the equation in standard form
-7x - 5y = -48 ... your teacher has decided (for some reason) to multiply both sides by -1
Answer:
-5y-7y=-48
Step-by-step explanation:
distance between BC (4,4) C(x,y)
BC is perpendicular on AB (perpendicular line has opposite reciprocal slope)
slope of AB=y2-y1/x2-x1=4-(-1)/4-(-3)=5/7
slope of BC=-7/5
now input the value of B (4.4) and C(x,y)
y=mx+b
4=-7/5(4)+b
b=4+28/5
b=48/5
y=-7/5x+48/5
5y=-7x+48
5y+7x=48 multipy by -1
-5y-7y=-48
Write the function in standard form.
Y=(3x-2)(3x+6)
Answer:
y = 9x^2 + 12x - 12.
Step-by-step explanation:
y = (3x - 2)(3x + 6)
y = 9x^2 - 6x + 18x - 12
y = 9x^2 + 12x - 12.
Hope this helps!
find the hypo when the opposite is 36 and the adjacent is 27
Answer:
45
Step-by-step explanation:
Given the legs of the right triangle.
Then using Pythagoras' identity
The square oh the hypotenuse h is equal to the sum of the squares on the other 2 sides, that is
h² = 36² + 27² = 1296 + 729 = 2025 ( take the square root of both sides )
h = [tex]\sqrt{2025}[/tex] = 45
Answer:
45
Step-by-step explanation:
When you are given the opposite and adjacent sides of a triangle, the easiest way to find the hypotenuse is through the Pythagorean theorem!
The formula is a^2 + b^2= c^2
Plugging in the values, your formula would now look like 36^2 + 27^2= c^2
Once you do square your values and add them up, the result would end up being 2025, but since that is squared, to find the actual value of c you have to take the square root of this number, this will result in 45.
Jan wants to lay sod on this lot. How
much sod does he need?
In sq.ft.
Type in your response.
Answer:
148.5 sq. ft.
Step-by-step explanation:
Since Jan wants to lay sod on it, Sod required will be equal to area of the lot.
Lot is in trapezium shape
area of trapezium is given by = 1/2(sum of parallel sides) height
parallel sides has length 15 and 18 feet
sum of parallel sides = (15+18) = 33
height = 9 feet
thus area of lot = 1/2(33)9 = 148.5
Thus, Jan will need 148.5 sq. ft of sod.
There are six poles on a side of a 1 km 200 m long straight road such that there is a pole at the starting and end points of the road. If the poles are equally spaced, then what is the distance between each consecutive pole?
Answer:
Distance is 200m between each pole
Step-by-step explanation:
First, convert the length of the road into meters
1km= 1000m
1000m +200m= 1200m
There are 6 poles on the side and they're equally spaced
Divide the length of the road by the number of poles to get the distance between the poles
Distance between poles= Length of road/ Number of poles
Distance between poles= 1200m/ 6 poles
Distance between poles= 200m
A spinner has four equal-sized sections that are red, yellow, blue, and green. Write the sample space if the spinner is spun two times. Use abbreviations if you wish.
Answer:
{RR,RY,RB,RG,YR,YY,YB,YG,BR,BY,BB,BG,GR,GY,GB,GG}
Step-by-step explanation:
A spinner has four equal-sized sections that are red(R), yellow(Y), blue(B), and green(G).
If the spinner is spun two times, the sample space is given as follows.
{RR,RY,RB,RG,YR,YY,YB,YG,BR,BY,BB,BG,GR,GY,GB,GG}
Rewrite the function in y.
2x – 4y = 8
Answer:
-4y=8-2x
Step-by-step explanation:
a guess
Answer:
y = 1/2 x -2
Step-by-step explanation:
2x – 4y = 8
Solve for y
Subtract 2x from each side
2x – 4y -2x= -2x+8
-4y = -2x+8
Divide each side by -4
-4y/-4 = -2x/-4 + 8/-4
y = 1/2 x -2
Help to answer the questions..
Answer:
See Below
Step-by-step explanation:
The relation is :
=> {(-5,0)(2,8)(2,15)(4,16)}
Domain => x inputs of the relation
Domain = { -5 , 2, 4}
Range => y inputs of the relation
Range = { 0 , 8 , 15 , 16}
somebody plz answer.
Answer:
IT'S D
Step-by-step explanation:
LOOK AT THE PATTERN AND YOU WILL UNDERSTAND.
Answer:
ii honestly think d
Step-by-step explanation:
Tickets for a concert were $5 for each child and $8 for each adult. At one of the concerts, each adult brought 4 children with them, and 10 children attended without an adult
On a coordinate plane, kite K L M N is shown. Point K is at (5, 3), point L is at (3, 2), point M is at (2, 3), and point N is at (3, 4). What is the perimeter of kite KLMN? StartRoot 2 EndRoot + StartRoot 5 EndRoot units StartRoot 14 EndRoot units 2 StartRoot 2 EndRoot + 2 StartRoot 5 EndRoot units 4 StartRoot 5 EndRoot units HELP PLEASE
Answer:
[tex]2\sqrt{2} +2\sqrt{5}[/tex]
Step-by-step explanation:
i just got this one right
the kite has two pairs of congruent sides. using the distance formula, the two shorter sides=[tex]\sqrt{2}[/tex] (since there are two of those length sides, you multiply it by two). Again with the distance formula, the two longer sides=[tex]\sqrt{5}[/tex] (also multiply this by two).this gives the answer c or [tex]2\sqrt{2}+2\sqrt{5}[/tex]
Answer:
The answer is c [tex]\sqrt[2]{2}[/tex] + [tex]\sqrt[2]{5}[/tex] units. just took the test
Step-by-step explanation:
se tiene que embaldosar el patio interior de un edificio con baldosas cuadradas de 30 cm de lado. El patio es rectangular y sus medidas son 10 m por 12 m. ¿cuantas baldosas se necesitaran?
Answer:
40,000 baldosas
Step-by-step explanation:
Lo primero que debemos hacer aquí es calcular el área del patio rectangular.
El mejor enfoque para esto es convertir primero sus medidas a centímetros
Matemáticamente, 100 cm = 1 m, entonces 10 m se convierten en 1000 cm y 12 m se convierten en 1200 m.
El área de un rectángulo es L * B y, por lo tanto, tenemos 1200 * 1000 = 1,200,000 cm ^ 2
Ahora, para saber la cantidad de azulejos que tendrá el patio, necesitaremos dividir el área del patio por el área de los azulejos
Matemáticamente, eso sería 1,200,000 / 30 = 40,000 fichas
look at the picture find the value of z
Answer:
Z=7.9
Step-by-step explanation:
20.4 + 20.4 = 40.8
56.6 - 40.8 = 15.8
15.8/2 = 7.9
Answer:
z=7.9 cm
Step-by-step explanation:
So, what we have to do is gather all the information we already have. The length of the rectangle is 20.4 cm, and the perimeter is 56.6. To find the perimeter, you always add all the sides up. So 20.4+20.4 is 40.8. since 4+4 is 8, and 20+20 is 40. Then, you subtract that from the perimeter to get what is 2z(both sides). 56.6-40.8 is 15.8. So we know 2z is 15.8. To find z, we divide 15.8 by 2 which is 7.9. You can do this with a calculator or write it down.
z=7.9 cm
A container has 250 liters of water in it. Some water evaporated and then the container had only 175 liters in it. What percentage of water evaporated?
Answer:
Hey there!
A total of 250-175, or 75 liters of water evaporated.
75/250=0.3, or 30%
30% of water evaporated.
Hope this helps :)
Hey there! I'm happy to help!
First, let's find out how much water evaporated. We have 175 left of the 250 after evaporation, so we need to subtract 175 from 250 to see how much water evaporated.
250-175=75
75 liters evaporated. Now, we want to find this as a percent out of 250. 75 is what percent of 250? Well, when talking about percents, the word "is" means "equals". So, we can turn this into an equation! We will use x to represent our percent as a decimal.
75= x·250
We simply divide both sides by 250 to isolate the x, giving us x=0.3
0.3 is 30% as a percent, so this means that 30% of the water evaporated.
I hope that this helps! Have a wonderful day!
Two cars leave the park at the same time one travels north at a speed of 50 km an hour for two hours the second car travels west at a speed of 80 km an hour for two hours after the two hours how far apart are the two cars
Answer:
50 km/hr * 2hr = 100km
80 km/hr * 2hr = 160km
using pythagorean theorem: x = sqrt((a^2)+(b^2))
x = sqrt ((100^2) + (160^2)
x = 188.67 km
Step-by-step explanation:
it's due todayyyyyyy (;ŏ﹏ŏ)
1.) Which movie had the Lower Q3 as shown in the box plot?
Movie A
Movie B
Both about the same
Q3, or third quartile, is visually located at the right edge of the box. Movie A shows to have a smaller Q3 value as it is to the left of Q3 for movie B.
If f(x) = -8x + 8 and g(x) = (x–9,
what is (fºg)(18)?
Enter the correct answer.
DOHO
DONE
Clear all
OOO
o
HURRY !
Answer:
Step-by-step explanation:
(f ° g)(18) is another way of writing f(g(18)) which is telling you to evaluate function g at an x value of 18, then take that answer and plug it in for x in the function. Like this:
g(18) = 18 - 9 so
g(18) = 9. Now take that 9 and plug it into the f function in place of x:
f(9) = -8(9) + 8 and
f(9) = -72 + 8 so
f(9) = -64
SOLVE THE QUADRATIC EQUATION TO 3 SIGNIFICANT FIGURES
Answer:
x= 1.09 and x= -0.461
Step-by-step explanation:
Hope it helps :) :)
Good luck!!
Please help me someone
Answer: Surface area is 169π
Step-by-step explanation:
[tex]A=\pi \cdot \:d^2[/tex]
[tex]A=\pi d^2[/tex]
[tex]A=\pi 13^2[/tex]
[tex]A=169\pi[/tex]
Golden Corral charges $11 for a buffet plus $1 for each drink. Western Sizzlin charges $9 for a buffet plus $2 for each drink. Which restaurant has the best deal? Verify that the intersection point show in your graph is a solution for both equations
Answer:
At 2 drinks, the prices are equal. For 1 drink, Western Sizzlin is better since the buffet price is lower. From 3 drinks and up, Golden Corral is better.
Step-by-step explanation:
"Golden Corral charges $11 for a buffet plus $1 for each drink."
d + 11
"Western Sizzlin charges $9 for a buffet plus $2 for each drink."
2d + 9
Set the 2 cost functions equal:
2d + 9 = d + 11
d = 2
At 2 drinks, the prices are equal. For 1 drink, Western Sizzlin is better since the buffet price is lower. From 3 drinks and up, Golden Corral is better.
Im stuck!! Help needed please, ill mark the right anwser as brainliest
Answer:
C and D
Step-by-step explanation:
A box plot display consist of a five-number summary. The five-number summary includes the following five values that is depicted in the box plot display:
1. Min value: the least value or smallest value indicated at the end of the whiskers to our left.
2. Max value: the largest value in the data set indicated at the end of the whisker to our right.
3. The median: this is a measure of center indicated by the vertical line that divides the rectangular box into 2.
4. The Upper quartile (Q3): this is indicated by at the end of the rectangular box at our far right.
5. The lower quartile (Q1): this is indicated at the beginning of the rectangular box from our left.
The interquartile range is the difference between the Q3 and the Q1, which can be used as a measure of spread of a data set.
Therefore, the most appropriate measures of center and spread for the data set above, are the median and the interquartile range respectively.
The correct choices are option C and D.
A bin has 5 white balls and k black balls in it, where k is an unknown positive integer. A ball is drawn at random from the bin. If a white ball is drawn, the player wins 1 dollar, but if a black ball is drawn, the player loses 1 dollar. If the expected loss for playing the game is 50 cents, then what is k?
Answer:
Step-by-step explanation: The expected loss is 50 cents, we know that it is more likely to lose than win. It is therefore difficult to get-50, so the overall difference between the two possibilities is 2, 50/200=1/4, and the probability to win is 1/4, and the probability to lose is 3/4. Since (1/4)*3=3/4, the number of black balls is 3 times the number of white balls, so k=15.
I need help for this problem!
-9(x + 6) = 18
Answer:
x = -8
Step-by-step explanation:
1. Divide both sides of the equation by -9 to get (x+6) = -2
2. Now that are left with x+6 you can subtract (inverse operation) the 6 from both sides of the equation to get x = -8
Hope this helps
3x - 17 = 46 . solve for x
Answer:
[tex]x = 21[/tex]
Step-by-step explanation:
We can simplify this equation down until we have x isolated.
[tex]3x - 17 = 46[/tex]
If we add 17 to both sides:
[tex]3x = 63[/tex]
Now we can divide both sides by 3:
[tex]x = 21[/tex]
So [tex]x = 21[/tex].
Hope this helped!
is 0.99 an repeating number
Answer:
no its not
Step-by-step explanation:
a repeating decimal is one that repeats a number but this is a terminating decimal since it stops.
Use the table to find the products of the polynomial
pls help i’m having so much trouble with this and i don’t understand
(x^2 + x - 2)(4x^2 - 8x)
Answer:
Step-by-step explanation:
Hello,
The table is as below
[tex]\begin{array}{c|c|c|c} &2&1&-2\\4&\boxed{4}&\boxed{4}&\boxed{-8}\\-8&\boxed{-8}&\boxed{-8}&\boxed{16}\\\ 0&\boxed{0}&\boxed{0}&\boxed{0} \end{array}[/tex]
It gives
[tex]4x^4+(4-8)x^3-(8+8)x^2+16x=4x^4-4x^3-16x^2+16x[/tex]
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
WILL GIVE BRAINLEST ANSWER IF ANSWERED IN 24 HOURS Determine whether a triangle can be formed with the given side lengths. If so, use Heron's formula to find the area of the triangle. a = 240 b = 132 c = 330
Write an equation of a line with the given slope and y-intercept. m = 1, b = 4 a) y = x – 4 b) y = –1x + 4 c) y = x + 4 d) y = 4x + 1
Answer:
y = x+4
Step-by-step explanation:
The slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
y = 1x+4
y = x+4
Answer:
[tex]\boxed{y=x+4}[/tex]
Step-by-step explanation:
The slope-intercept form of a line:
[tex]y = mx+b[/tex]
m is the slope and b is the y-intercept
[tex]m=1\\b=4[/tex]
[tex]y = 1x+4[/tex]
What is the slope of the line shown below? (-2,3) (-4,-9)
Answer:
6Step-by-step explanation:
Let the points be A and B
A ( - 2 , 3 ) -------> ( x1 , x2 )
B ( -4 , -9 ) -------> ( x2 , y2 )
Now, finding the slope:
[tex]slope \: (m) = \frac{y2 - y1}{x2 - x1} [/tex]
Plug the values
[tex] = \frac{ - 9 - 3}{ - 4 - ( - 2)} [/tex]
Calculate
[tex] = \frac{ - 12}{ - 4 - ( - 2)} [/tex]
When there is a (-) in front of an expression in parentheses , change the sign of each term in expression
[tex] = \frac{ - 12}{ - 4 + 2} [/tex]
Calculate
[tex] = \frac{ - 12}{ - 2} [/tex]
Reduce the fraction with -2
[tex] = 6[/tex]
Hope this helps..
Best regards!!
) 5 is subtracted from one-fourth part of the product of 12 and 3 and multiplied
by 2.
e) 7 is subtracted from the quotient of 48 divided by the sum of 5 and difference
Step-by-step explanation:
the first answer is 72 as it is it
Answer:
The answer is 8.
Step-by-step explanation:
The product of 12 and 3 is 36. One-fourth of 36 is 9. 5 subtracted from 9 is 4.