Answer:
Step-by-step explanation:
Y = mx +b / Slope intercept form
mx - y = -b / Standard form
6m -2 = -b / Plug in ( 6,2)
-9m -10 = -b / Plug in ( -9, 10)
Solve the system of equation for m and b.
6m -2 = -9m -10 , then 15m = -8 m = -8/15
b = -6m +2 ,then b= -6 ( -8/ 15) +2 = 78/15
-8/15 X - y = - 78/15
8X +15y = 78 / Equation of in standard form
Note: This is a different methods of solving this problem. All methods find their roots coming from the basic premises.
Equation of a line in the slope intersect form is
Y = mx +b
To convert to standard form of ax + by =c
Simply move over the parameters
mx - y = -b where a = m , and c = -b
Then we feed coordinates of 2 points in there
make a 2 equation with 2 unknown( m,b) to
solve.
sonic or Kirby, who is better?
Answer:
Personaly i would say kirby. but zelda is better than any other game series
Step-by-step explanation:
My Answer: B O T H .
Reason:
They're both my childhood
can someone please help me with this (due today)
The usual price of a sweatshirt is $18, what is its sale price?
Answer:
I feel like there is more to that question can you put the whole question
A turntable rotates at 68 revolutions per minute. What is its angular speed in radians per second?
Answer:
[tex]\displaystyle \frac{34 \pi}{15} \ \frac{rad}{sec}[/tex]
General Formulas and Concepts:
Math
Dimensional AnalysisPre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightPre-Calculus
Angular Speed: 2π rad per revolutionStep-by-step explanation:
Step 1: Define
68 revolutions per minute
Step 2: Identify Conversions
2π rad per revolution
60 seconds = 1 minute
Step 2: Convert
[DA] Set up: [tex]\displaystyle \frac{68 \ rev}{1 \ min} \cdot \frac{2 \pi \ rad}{1 \ rev} \cdot \frac{1 \ min}{60 \ sec}[/tex][DA] Multiply/Divide [Cancel out units]: [tex]\displaystyle \frac{34 \pi}{15} \ \frac{rad}{sec}[/tex]For this problem, assume that the committee contains 6 men and 9 women and that three are selected at random for a subcommittee. What is the probability that the subcommittee consists of 2 men and 1 woman, given that it contains both men and women
Answer:
0.3846 = 38.46% probability that the subcommittee consists of 2 men and 1 woman.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
To solve this question, we need to know the combinations formula and conditional probability.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
What is the probability that the subcommittee consists of 2 men and 1 woman, given that it contains both men and women?
Event A: Contains both men and woman
Event B: Consists of two men and 1 woman.
Probability of containing both men and woman:
Desired outcomes:
2 men(from a set of 6) and 1 woman(from a set of 9), or 1 men(from a set of 6) and 2 women(from a set of 9). So
[tex]D = C_{6,2}*C_{9,1} + C_{6,1}*C_{9,2} = \frac{6!}{2!4!}*\frac{9!}{1!8!} + \frac{6!}{1!5!}*\frac{9!}{2!7!} = 351[/tex]
Total outcomes:
3 people from a set of 6 + 9 = 15. So
[tex]T = \frac{15!}{3!12!} = 455[/tex]
Probability:
[tex]P(A) = \frac{D}{T} = \frac{351}{455} = 0.7714[/tex]
Intersection of events A and B:
Intersection between both men and women, and 2 men and 1 woman, is 2 man and 1 women. So
Desired outcomes:
2 men(from a set of 6) and 1 woman(from a set of 9).
[tex]D = C_{6,2}*C_{9,1} = 135[/tex]
Total outcomes:
3 people from a set of 6 + 9 = 15. So
[tex]T = \frac{15!}{3!12!} = 455[/tex]
Probability:
[tex]P(A \cap B) = \frac{D}{T} = \frac{135}{455} = 0.2967[/tex]
Desired probability:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.2967}{0.7714} = 0.3846[/tex]
0.3846 = 38.46% probability that the subcommittee consists of 2 men and 1 woman.
A triangle has side lengths
that measure (3x + 4), (7x
+ 5) and (2x - 1). If the
perimeter of the triangle is
greater than or equal to 74,
what are the possible
values of x?
Answer:
x is greater or equal to 5.5
Step-by-step explanation:
• Explain why 3 + x and x + 3 are equivalent.
Answer: Becuase of the communitive property
Step-by-step explanation:
For example say you have 5 + 6
5 + 6 = 11
6 + 5 =11
no matter how you flip it, it's always the same
3/6 + 2/6= improper fraction
Answer:
3/6+2/6=5/6is not improper fraction
Factor Completely::::
Answer:
x^2(x-9)(x+3) lmk if u need steps
Answer:
x^2 (x+3) (x-9)
Step-by-step explanation:
...............
Heidi is building a stone path in her garden. It needs to be 8 feet to 8 1/2 feet long. Drag stones into the box
Answer:
where are the stones
Step-by-step explanation:
Answer:
you have to figure out how big the stones are and add to the box accordingly
Step-by-step explanation:
What is the formula for 3cm, 5cm, and 4cm (3cm being the height and the 4 the base) and its a right triangle
Answer:
No se perdon nesesito puntos
-16+56=(X)×3.find ×?
Answer:
40/3
Step-by-step explanation:
If this answer helped you then please consider liking this and marking it as brainliest :)
Shawn has 4 times as many candies as Jason, who has a third as many candies as
lan. If Shawn has 64 candies, how many candies does Ian have?
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Confidential unpublished work ©2018 by PSI Services LLC
Answer:
Number of candies with Ian = 4
Step-by-step explanation:
Let Ian has [tex]x[/tex] candies.
Number of candies with Jason = [tex]3x[/tex]
Number of candies with Shawn = [tex]4(3x)=12x[/tex]
Total number of candies = 64
So,
[tex]x+3x+12x=64\\16x=64\\x=4[/tex]
Therefore,
Number of candies with Ian = 4
The measure of one angle of a right triangle is 42∘ more than the measure of the smallest angle. Find the measures of all three angles.
Answer:
Step-by-step explanation:
A ≤ B ≤ C
C = 90°
B = A+42°
A+B = 90°
A+(A+42) = 90°
A = 24°
B = A+42° = 66°
24, 66, 90 are the measure of all three angles of the right angle triangle
What is right-angle triangle?A triangle is said to be right-angled if one of its angles is exactly 90 degrees. The total of the other two angles is 90 degrees. Perpendicular and the triangle's base are the sides that make up the right angle. The longest of the three sides, the third side is known as the hypotenuse.
Given, The measure of one angle of a right triangle is 42∘ more than the measure of the smallest angle.
Let "x" be the smallest angle in a right angle triangle.
So, biggest angle in the triangle will be x +42
Since, sum of the all the angles in a triangle = 180
x + x+ 42 +90 = 180
2x + 42 = 90
2x = 48
x = 24
Measure of the smallest triangle =x = 24
Measure of the biggest angle = 24 + 42
Measure of the biggest angle = 66
therefore, The measure of all three angles of the right angle triangle are 24, 66, 90.
Learn more about right-angle triangle here:
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A local hamburger shop sold a combined total of 575 hamburgers and cheeseburgers on Saturday. There were 75 fewer cheeseburgers sold
than hamburgers. How many hamburgers were sold on Saturday?
Answer:
D.
Step-by-step explanation:
it is right
A rectangle on a coordinate plane is translated 5 units up and 3 units to the left. Which rule describes the translation?
(x, y) → (x + 5, y – 3)
(x, y) → (x + 5, y + 3)
(x, y) → (x – 3, y + 5)
(x, y) → (x + 3, y + 5)
Answer:
(x, y) → (x + 5, y – 3)
Step-by-step explanation:
Refer to a graph. It helps.
Up = +
Down = -
Right = +
Left = -
Answer:
actually, the CORRECT answer is C) (x, y) → (x – 3, y + 5)
Step-by-step explanation:
got 100% on my e2020 unit test! ;D
helphelphelphelphelphelphelphelphelphelphelphelphelp
Step-by-step explanation:
just subtract everything
Peter's family traveled 5/8 of the distance to his grandmother’s house on Saturday. They traveled 2/3
of the remaining distance on Sunday. What fraction of the total distance to his grandmother’s house was traveled on Sunday?
Write an equation in slope-intercept form for the line that passes through
(–1, –2) and (3, 4).
What are the coordinates of the image of ΔABC after a dilation with center (0, 0) and a scale factor of 3? Drag numbers to complete the coordinates. Numbers may be used once, more than once, or not at all.
Answer: 6,6. 12,18. 18,6
Step-by-step explanation:
cause I got it right..
The coordinates of the image of ΔABC after a dilation with center (0, 0) and a scale factor of 3 are A'(6,6), B'(12, 18) and C'(18, 6)
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
The given graph has a triangle ABC.
The coordinates of A, B and C are A(2, 2), B(4, 6) and C(6, 2)
We have to find the coordinates of triangle ABC after a dilation with scale factor 3.
Dilation is the scaling of an object, where it gets bigger or smaller
Now the coordinates after dilation are A'(6,6)
B'(12, 18)
C'(18, 6)
Hence, the coordinates of the image of ΔABC after a dilation with center (0, 0) and a scale factor of 3 are A'(6,6), B'(12, 18) and C'(18, 6)
To learn more on Graph click:
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if i had 39 containers of water and each container held 24 quarts. How many quarts water are in the 39 containers?
Answer:
936 quarts
Step-by-step explanation:
[tex]n=24*39=936quarts[/tex]
the product of -4 and 6 is subtracted from the quotient of -100 by -5 . what is the answer please
Answer:
498
Step-by-step explanation:
so first multiply -100 by -5 to get 500
the word "by" indicates multiplication
Next subtract -4 and 6 by 500
so 500 - 6 - (-4) = 498
In Ms. Perron’s class, 60% of the students are boys. There are 26 students in the class. What is the total number of boys in Ms. Perron’s class?
Help :'/
Answer:
Let the no. of students be X.
Boys = 60% of X .
So Boys = (60/100)*X.
So left 40% of students are girls and it is given they are 14.
So total students X= total boys + total girls.
X = (60/100)*X+14.
(40/100)*X = 14.
X = (14*100)/40.
X = 35.
X - (60/100)*X = 14.
Step-by-step explanation:
374x+3=2995 ME GIVE BRAIN I MUST DO MY HOMEWORK you lifesaver...
Hi there!
x=8
1.Subtract the answer with the 3 / subtract the terms:
[tex]2995-3=2992[/tex]
2.Divide the two terms:
[tex]2992*374=x[/tex]
Therefore, x=8
Compare 3/5 to 4/9. Is it equal, greater than or less than?
Answer:
3/4 > 4/9Step-by-step explanation:
because 3/5 = 0.64/9 = 0.440.6 > 0.44MARK ME AS BRAINLISTUse the distributive property to find two expressions that are equivalent to 73x = 4).
Answer:
this is the answer to your question x=73/4; 4/73=1/x
If a perimeter of a frame is 24 inches and it is 2inches wide what is the length of the frame
Give 3 values for x that make the inequality true. x < 3
Answer:
2, 1, 0
Step-by-step explanation:
they are less than 3 (Please mark brainliest)
Please save me :( I am bad at math
Answer:
d. 11050
Step-by-step explanation:
1. you're dividing to see how much one costs, 4420 divided by 4 = 1105
2. multiply by 10, 1105 x 10 = 11050 (add a zero)
Answer:
i dont know the exact answer but i can give you the instuctions on how to do do it.
Step-by-step explanation:
1. Cut 4420 in half (4420 divided by 2). Store that for later. This is two hours.
2. Multiply 4420 by 2 (This will give you 8 hours which, in mathematics, when added with two is ten.)
3. Add the answers you got from 1 and 2 to get your answer.
And there you have it.
Hope this helps!
-Alex
Julie wants to show that a quadrilateral with vertices J(2, 3), K(2,7), L(-2,7), M(-2,3) is a square. Using the distance formula, what should she find the length of each side to be?
Answer: 4
Step-by-step explanation: