MATHEMATICS HIGH SCHOOL

Which is an equation in point-slope form for the given point and slope?Point: (1, –7); Slope:


A.
y-7=-2/3(x+1)

B.
y-7=2/3(x-1)

C.
y+7=-2/3(x-1)

D.
y+7=2/3(x+1)

Answers

Answer 1
Answer: \sf~y-y_1=m(x-x_1)

Where y1 is the y-value of the point, x1 is the x-value, and 'm' is the slope.

In this case:

y1 = -7
x1 = 1
m = -2/3

Plug them in:

\sf~y-(-7)=-(2)/(3)(x-1)

or

\boxed{\sf~y+7=-(2)/(3)(x-1)}

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Answer:

8/9

Step-by-step explanation:

the probability of spinning 3 is 1/9 so just subtract with 1 or 9/9

Hi can someone help me ty happy holiday days

Answers

Answer:

128 ,  512,  2048

Step-by-step explanation:

SAVE ME. Please Answer my Questions Clevers. Q1. if a counting number is selected at random from a set of whole number less than or equal to 20 find the probability of getting:
A. Prime numbers,
B. Composite numbers,
C. Divisible by three,
D. Square of 2.

Q2. The opposite angle of acyclic quadrilaterals is in the ratio of 2:3. Find the degree measure of each opposite angle?

Q3. what is the solution set of
9x-4<13x-7 (domain, xez) ?

Q4. if three fourth of a number is one tenths, what is the number?

Q5. which one is the equation of the line passing through the origin and having a slope 4?

A. Y= -0.4x
B. Y= 4x
C. Y= -4x
D. Y= 0.4x

​

Answers

Answer:

See below

Step-by-step explanation:

Q1. if a counting number is selected at random from a set of whole number less than or equal to 20 find the probability of getting:

Counting numbers are Natural numbers: \mathbb{N}

Also, we have Whole numbers. Despite not having an official symbol, I usually denote the set as \mathbb{Z}_(\ge 0)

Whole numbers less than or equal to 20: A\leq 20, A \subset \mathbb{Z}_(\ge 0) \n\implies A=\{0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20\}

A. Prime numbers

From the set A, the prime numbers are 2, 3, 5, 7, 11, 13, 17, 19.

Once we have 21 numbers in total and 8 prime numbers, the probability is:

$P=(8)/(21) \approx 40\%$

B. Composite numbers

From the set A, the composite numbers are 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20.

Once we have 21 numbers in total and 11 composite numbers, the probability is:

$P=(11)/(21) \approx 52\%$

C. Divisible by three

From the set A, the numbers divisible by three are 3, 6, 9, 12, 15, 18.

Once we have 21 numbers in total and 6 numbers divisible by three, the probability is:

$P=(6)/(21) \approx 30\%$

D. Square of 2

From the set A, the numbers square of 2 are 0, 1, 4, 9, 16.

√(0) =0

√(1) =1

√(4) =2

√(9) =3

√(16) =4

Once we have 21 numbers in total and 5 numbers square of 2 , the probability is:

$P=(5)/(21) \approx 24\%$

Q2. The opposite angle of acyclic quadrilaterals is in the ratio of 2:3. Find the degree measure of each opposite angle?

Once they're opposite, they add up to 180º

2x+3x=180 \implies 5x=180 \implies x=36

The first angle is 72º

The second angle is 108º

Q3. what is the solution set of  9x-4<13x-7 (domain, x e z) ?

x \in \mathbb{Z}\n

$x>(3)/(4) $

$x\in \left((3)/(4),\infty \right)$

Q4. if three fourth of a number is one tenths, what is the number?

$(3)/(4) x =(1)/(10) \implies 3x=(4)/(10) \implies \boxed{x = (2)/(15)} $

Q5. which one is the equation of the line passing through the origin and having a slope 4?

y=mx+b

m: \text{slope}

b: \text{y-intercept}

B. Y= 4x

Organize the following polynomial expressions from least to greatest based on their degree:I x + 2xyz
II 3x + y + z
III 2x3y + y2x - 3x + 4
IV 9x3yz

A II, III, I, IV

B III, I, IV, II

C I, II, IV, III

D II, I, III, IV

Answers

The degree of a polynomial is equal to the highest sum of the variables among the terms. In I, degree is equal to 3, II is equal to 1, II is equal to 4, and IV is equal to 5. Hence, the order from least to greatest then, the order is II, I, III and IV. Answer is A>

Answer: 2134

Step-by-step explanation:

What is the slope of the line that contains the points (-1,2) and (2,2)

Answers

Answer:

the equation to find the slope is (y2-y1)/(x2-x1)

the points are (-1,2) and (2,2) so plug it in and you get

(2-2)/(2-(-1))

0/ (2+1)

0/3

whenever the numerator is 0, that means the slope is 0. the line is just a horizontal line.

Which is smaller, -5 or -17 and show your work

Answers

On a number line it seen as this

.... -10, -9, -8,-7,-6,-5,-4,-3,-2,-1,0,1,2,3,4,5...

The farther left the number, the smaller it is. So -17 < -5
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