Answer:
y=-2/3*x+1/3
Step-by-step explanation:
-6x+4y=-12
put into y=mx+b line equation
4y=6x-12
y=(6/4)x-(12/4)
y=(3/2)x-4
slope is 3/2
to find perpendiular line slope take the negative inverse.
-(2/3) = slope of perpendicular line
use line equation and solve for y-intercept (b)
3=(-2/3)*(-4)+b
3=8/3+b
b= 9/3-8/3 = 1/3 : 3 = 9/3 to allow for subrtaction of fractions.
Find the scale factor from Triangle ABC to Triangle DEF.
Answer:
The ratio of any two corresponding lengths in two similar geometric figures.
Step-by-step explanation:
You can see immediately that the length of each of the sides in triangle DEF is equal to the length of the corresponding side in ABC multiplied by “a”.
If you divide the length of DE by the length of AB:
a^2/a =a.
You get a scale factor of “a”
Write the fve-number summary for each set of data
Answer:
Step-by-step explanation:
first arrange the data from ascending to decending order
1,5,8,10,11,14,17,19,20,23
Q1=(N+1)/4
=(10+1)/4
=11/4
=2.75
=2 nd item+(3 rd -2 nd)term
=5+(8-5)
=5+3
=8
Q2=(N+1)/2
=(10+1)/2
=11/2
=5.5 term
=(5 th term+6 th term)
=(11+14)/2
=25/2
=12.5
Q3=3(N+1)/4
=3(10+1)/4
=3*11/4
=33/4
=8.25
=8 th term +(9 th -8 th )term
=19+(20-19)
=19+1
=20
Which equation is correct?
please help me :((
Answer:
sin x° = opposite ÷ hypotenuse
Step-by-step explanation:
Cosine is represented by the expression adjacent ÷ opposite and sine is represented by opposite ÷ hypotenuse. Only the fourth option lines up with the functions defined above.
If you are having trouble remembering the ratios for each trig function, you can use the acronym SohCahToa. This stands for:
S - sine
o - opposite
h- hypotenuse
C - cosine
a - adjacent
h - hypotenuse
T - tangent
o - opposite
a - adjacent
Which of the following is a factor of x3 + 2x2 - 25x – 50?
Answer:
(x - 5)(x + 2)(x + 5)
Step-by-step explanation:
x³ + 2x² - 25x - 50
x³ + 7x² - 5x² - 35x + 10x - 50
x(x² + 7x + 10) - 5(x² + 7x + 10)
(x - 5)(x² + 7x + 10)
(x - 5)(x² + 2x + 5x + 10)
(x - 5)(x(x + 2) + 5(x + 2))
(x - 5)(x + 2)(x + 5)
Gus has a fish tank that holds 4710 inches^3 of water. He is using a cylinder shaped bucket with a radius of 5 inches and a height of 20 inches to fill the tank.
Answer:
3
Step-by-step explanation:
How many times will Gus need to fill the bucket to completely fill the fish tank if he doesn’t spill a drop? Use 3.14 for pi
Number of times = volume of tank /volume of cylinder
volume of cylinder = πr²h
3.14 x 5² x 20 = 1570
4710 / 1570 = 3 times
4x + 8y = 24 y = -1 2 x + 5
Answer:the answer to this is 16x -16y=5.
step by step explanation:.
4x+8y=24y=-12x+5
= 4x+13x+8y-24y=5.
16x - 16y =5.
Statement about the function f(x)=5(0.9)^x
Answer:
It's an exponential function
Step-by-step explanation:
That's one statement
Hope it helped
If 4 is multiplied by the difference of a number and 3, the result is 32, which equation could be used to find the value of the number?
Step-by-step explanation:
I think 4 (x-3)=32 is right
A bag contains 9 identical balls out of which 3 are blue, 2 are white and the remaining are red.
If a ball is drawn from the bag what is probability that it is :
1. blue
2.not red.
Answer:
Total number of balls = 9
P(blue) = blue / total = 3/9 = 1/3 or 33.33%P(not red) = (total - red)/total = 5/9 or 55.55%The sum of three numbers is 103. The second number is 5 less than the first. The third number is 4 times the first. What are the numbers?
Answer:
The numbers are 18, 13, and 72.
Step-by-step explanation:
Let the three numbers be represented by a, b, and c.
The sum of the three is 103. Thus, we can write that:
[tex]a+b+c=103[/tex]
The second number is five less than the first. So:
[tex]b=a-5[/tex]
And the third number is four times the first. So:
[tex]c=4a[/tex]
Substitute:
[tex]a+(a-5)+(4a)=103[/tex]
Solve for a. Combine like terms:
[tex]6a-5=103[/tex]
Add five to both sides:
[tex]6a=108[/tex]
And divide both sides by six. Therefore:
[tex]a=18[/tex]
So, the first number is 18.
Since the second number is five less than the first, the second number is 13.
And since the third number is four times the first, the third number is 72.
Consider the algebraic expression:
−z − 7y + 18x + 4
Which of the following is a constant in this expression?
Which of the following lists all the coefficients in this expression?
Answer:
constant: 4
coefficent: 7, 18 (However, -1 can also be counted as a coefficient, it is just invisible!)
Step-by-step explanation:
coefficient: a numerical or constant quantity placed before and multiplying the variable in an algebraic expression
therefore, 7 and 18 are coefficients. HOWEVER, -1 can also be a coefficient to -z.
constant: a quantity or parameter that does not change its value whatever the value of the variables, under a given set of conditions.
therefore, 4 is a constant.
hope this helps! if it does, please mark brainliest! thanks!
Answer:
4
-1, -7, 18
Step-by-step explanation:
find the distance,(-2,3)(-8,3)
Answer:
6
Step-by-step explanation:
√(x2 - x1)² + (y2 - y1)²
√[-8 - (-2)]² + (3 - 3)²
√(-6)² + (0)²
√36
= 6
help very easy 5th grade math im in rush please help im very tired tell me how many x’s to put in each box.
Answer:
Step-by-step explanation:
none in the first 3 box
none in the second 3 boxes
2 in the third 3 boxes
1 in the 4th three boxes
1 in the 5th three boxes
3 in the 6th three boxes
and none in the last 3 boxes
hope this helped :D
Solve the proportion [tex]\frac{X+1}{3}[/tex] = [tex]\frac{X}{2}[/tex]
A).5
B).1
C).10
D).2
PLEASE HELP!! WILL AWARD BRAINLIEST!!
Answer:
2.478 million at the end of 2015
Step-by-step explanation:
Multiply the amount of population at the end of 2012 times 6%
2.1 times 0.06 = 0.126 million
So, at a constant rate, yearly, the population of Dubai increases 0.126 million
2015-2012 = 3
0.126 times 3 = 0.378 million
2.1 + 0.378 = 2.478 million
hope this helps:)
The theater sells two types of tickets: adult tickets for $15 and
child tickets for $11.
Last night, the theater sold a total of 147 tickets for a total of
$1889. How many adult tickets did the theater sell last night?
Answer:
68
Step-by-step explanation:
Let x=adult tickets and y=child tickets
1) 15x+11y=1889
2) x+y=147
multiply equation 1 by -1/11 on both sides to get:
-(15/11)x-y=-171.73
add new equation with equation 2 to get
-4/11x=-24.73
Isolate x to get:
x=67.99999
Round up to get 68 adult tickets
Xavier needs to bike a minimum of 80 miles this week for his training. If he already biked 14 miles this week, then how many miles should he bike on each of the 6 remaining days this week? A INEQUALITY (please)
Answer:
At least 11 miles a day.
Step-by-step explanation:
(80-14)÷6≥80
HELP ME PLEASE!! I’ll give you brainliest!
Answer:
D, C, B
Step-by-step explanation:
Last week, Nora sold 36 pineapples ([tex]48-12=36[/tex]), and 48 bananas.
Last week, the ratio of bananas sold to pineapple sold was [tex]48:36[/tex], which simplify to [tex]4:3[/tex]
The ratio means that for every 4 bananas sold, the number of pineapple sold was 3.
Calculate cos0 to two decimal places. 7 8 Xà A. 0.69 B. -0.14 C. -0.42 OD. -0.07
Correct answer: -0.07
Answer:
D. -0.07 to nearest hundredth.
Step-by-step explanation:
Applying the Cosine Rule:
11^2 = 7^2 + 8^2 - 2*7*8 cos O
cos O = (11^2 - 7^2 - 8^2) / (-2*7*8)
= 8/-112
= -0.07143.
Someone please help me
Answer:
x = 34°
Step-by-step explanation:
The chord- chord angle x is half the sum of the measures of the arcs intercepted by the angle and its vertical angle.
x = [tex]\frac{1}{2}[/tex] ( AB + CD ) = [tex]\frac{1}{2}[/tex] (45 + 23)° = 0.5 × 68° = 34°
The cost to play the game is $2. The winner gets $6 for making green. Suppose 36 people play the game. How much money will the school take in from this game before giving out prize money? *
Answer:
$72
Step-by-step explanation:
I did 36 x 2. I did not subtract the -6 for the prize money because it says not to.
Answer:
$72
Step-by-step explanation:
You are trying to determine how much money the school will take in before giving out prize money. Knowing this, you can actually ignore the $6 that the winner will get because you are not worried about giving out the prize money yet. You are only worried about how much you will make before the prize money.
So, you can do simple multiplication to find the answer:
price per game * amount of people playing game = money made from games
$2 * 36 = x
$72 = x
someone please please help me with this !
Answer:
4y+x - 16 = 0
Step-by-step explanation:
Given the equaton y - 2 = 4 (x-1)
Get the slope of the line
y - 2 = 4x - 4
y = 4x - 4 + 2
y = 4x - 2
Since y = mx+b for a line
mx = 4x
m = 4
Slope of a line perpendicular M = -1/4
If the line passes through the point (-4, 5)
The equation in point slope form is expressed as y-y0 = m(x-x0)
Substitute;
y - 5 = -1/4(x-(-4))
y - 5 = -1/4(x+4)
4(y-5) = -(x+4)
4y - 20 = -x-4
4y+x-20+4 = 0
4y+x - 16 = 0
This gives the required equation
Quick questionnnnn :P
Answer:
44.
Step-by-step explanation:
Given expression: [tex]3t^2-t[/tex]
To find the value of [tex]3t^2-t[/tex] where t = 4, we need to substitute t for 4 in the expression.
After substituting, we use PEMDAS (the order of operations) to solve. This is because this problem includes multiple operations.
[tex]3(4)^2-4[/tex]
[tex]=3(16)-4[/tex]
[tex]=48-4[/tex]
[tex]=48-4=44[/tex]
[tex]\to \inft3(4)^2-4=44[/tex]
Therefore, the value of [tex]3t^2-t[/tex] is 44, when t = 4.
The scale of a map says that 4 cm represents 5 km.
Part A: What distance on the map (in centimeters) does an actual distance of 4 kilometers represent?
____ centimeters
Part B: What is the actual number of kilometers represented by 5 centimeters on the map?
____ kilometres
Español
La escala de un mapa dice que 4 cm representan 5 km.
Parte A: ¿Qué distancia en el mapa (en centímetros) representa una distancia real de 4 kilómetros?
____ centímetros
Parte B: ¿Cuál es el número real de kilómetros representado por 5 centímetros en el mapa?
____ kilómetros
Answer:
Part A:3.2
Part B:6.25
Step-by-step explanation:
Map:Actual
4cm:5km
1cm:1.25cm
Part A:
?cm:4km
3.2cm:4km
Part B:
5cm:?km
5cm:6.25km
I need to find x pls help
What is the degree of 5x + 3x2 - 4x+1?
3
4
5
6
Step-by-step explanation:
option A
3 IS CORRECT
HOPE IT HELPS
Answer:
3
Step-by-step explanation:
edge 2021
By what percent will a fraction increase if its numerator is increased by 60% and its denominator is decreased by 20%?
Answer:
133.33%
Step-by-step explanation:
x/y * k = 1.6x / 1.2y
k = (1.6x / 1.2y) / (x/y)
k = 1.6/1.2
k = 4/3 = 1.3333 = 133.33%
Please help, it’s due tonight. I do have my answer I just need help explaining how it work for any number..
Answer:
Yes it is 10!
Step-by-step explanation:
5+20=25
25x5=125
125+125=250
250-200=50
50/5=10
What amount would yield an interest of $66 in 2 years at 3% p.a.?
Find x. Round to the nearest tenth: 29 500 ft
Answer:
437.3ft
Step-by-step explanation:
last of sines
a/sin(A) = b/sin(B) = c/sin(C)
sin(90) = 1
the angle between y and 500ft side is 90-29 = 61 degrees.
so,
x/sin(61) = 500/1 = 500
x = 500 × sin(61) = 437.3ft
In a triangle, value of [tex]x = 437.4[/tex] units (round to nearest tenth) using trigonometric ratio.
What is trigonometric ratio?"Trigonometric ratio is defined as in a right triangle the relation between the ratio of a sides of a triangle and the angle."
Formula used
[tex]sin\theta = \frac{opposite sides}{hypotenuse}[/tex]
[tex]cos\theta = \frac{adjacent sides}{hypotenuse}[/tex]
According to the question,
In a given right triangle ABC,
Hypotenuse [tex]=500 ft[/tex]
Opposite side [tex]= x ft[/tex]
Adjacent side [tex]= y ft[/tex]
As per the diagram drawn,
[tex]\angle BAC+ 29\° = 90\° \\\\\implies \angle BAC = 90\° -29\° \\\\\implies \angle BAC = 61\°[/tex]
Substitute the value in the above trigonometric ratio formula we get,
[tex]sin61\° = \frac{x}{500}\\\\\implies 0.8747 = \frac{x}{500}\\\\\implies x = 500 \ times 0.8747\\\\\implies x = 437.35 ft[/tex]
[tex]\implies x = 435.4 ft[/tex] (round to nearest tenth)
In trigonometric ratio [tex]cos\theta[/tex] we get,
[tex]cos61\° = \frac{y}{500}\\\\\implies 0.4848 = \frac{y}{500}\\\\\implies y= 500 \ times 0.4848\\\\\implies y = 242.2 ft[/tex]
Hence , In a triangle, value of [tex]x = 437.4[/tex] units (round to nearest tenth) using trigonometric ratio.
Learn more about trigonometric ratio here,
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