MATHEMATICS HIGH SCHOOL

Take a look at the figure. What are the coordinates of the point labeled A in the graph shown?A. (2, 2)
B. (–2, 4)
C. (2, –2)
D. (–2, 2)

Answers

Answer 1
Answer: The coordinates of the point labeled A in the graph shown is (2,-2). The 2 is in the x axis while -2 is in the y axis of the graph while point B is in coordinates (-2,-2) and  point C is in coordinates (-2,4).

Related Questions

Suppose that an object whose is 10th weighs 50 N find the weight of an object whose is 6 kg
So I need help with this math problem​
Select all of the fractions that are equivalent to 2/3​
Simplify: 8.7+5.8-3.1*1*2.3
I need to find the zeros of the function:f(x)=2x^2-5x-3

You work 40 hours/week for 52 weeks and are given the option to be paid hourly or to go on salary. In which situation will you earn the most?A. $30,000/year
B. $15.00/hour
C. $30,000/year with a 10% bonus
D. $15.00/hour and a $2,000 bonus at the end of the year

Answers

The correct answer for the question that is being presented above is this one: "D. $15.00/hour and a $2,000 bonus at the end of the year." You work 40 hours/week for 52 weeks and are given the option to be paid hourly or to go on salary. In this situation, you will earn the most: $15.00/hour and a $2,000 bonus at the end of the year

The Length of a standard jewel case is 7cm more than its width. The area of the rectangular top of the case is 408cm. Find the length and width of the jewel Case

Answers

Answer:

The length of the case is 24 cm and its width is 17cm.

Step-by-step explanation:

The Length of a standard jewel case is 7cm more than its width.

Let the length be represented by L and the width be represented by W, this means that:

L = 7 + W

The area of the rectangular top of the case is 408cm². The area od a rectangle is given as:

A = L * W

Since L = 7 + W:

A = (7 + W) * W = 7W + W²

The area is 408 cm², hence:

408 = 7W + W²

Solving this as a quadratic equation:

=> W² + 7W - 408 = 0

W² + 24W - 17W - 408 = 0

W(W + 24) - 17(W + 24) = 0

(W - 17) (W + 24) = 0

=> W = 17cm or -24 cm

Since width cannot be negative, the width of the case is 17 cm.

Hence, the length, L, is:

L = 7 + 17 = 24cm.

The length of the case is 24 cm and its width is 17cm.

Describe this pattern. Then see if you can think of another Pythagorean triple that doesn't follow the pattern you just described and that can't be generated using the identity (x2 − 1)2 + (2x)2 = (x2 + 1)2. Explain your findings. x-value Pythagorean Triple 7 (14,48,50) 8 (16,63,65) 9 (18,80,82) 10 (20,99,101)

Answers

Answer:

See explanation

Step-by-step explanation:

A Pythagorean triple is a set of 3 positive integer numbers, a, b, and c which satisfies the Pythagorean theorem: c^2=a^2+b^2

Given the identity: (x^2 - 1)^2 + (2x)^2 = (x^2 + 1)^2.

We verify that the numbers given table are Pythagorean triples.

14^2+48^2=2500=50^2\n16^2+63^2=4225=65^2\n18^2+80^2=6724=82^2\n20^2+99^2=10201=101^2

Next, we examine the pattern:

\left|\begin{array}{c|c|c|c|c}x-value&x^2-1&2x&x^2 + 1&$Triple\n--&--&--&--&----\n7&48&14&50&(14,48,50)\n8&63&16&65&(16,63,65)\n9&80&18&82&(18,80,82)\n10&99&20&101&(20,99,101)\end{array}\right|

From the pattern, our first number is 2x, the second number is x² - 1, and the third number(hypotenuse) is x² + 1

Next, we show that  (x² - 1)² + (2x)² = (x² + 1)² is an identity

LHS: (x^2 - 1)^2 + (2x)^2 \n= (x^2-1)(x^2-1)+2x^2\n=x^4-2x^2+1+4x^2\n=x^4+2x^2+1

RHS: (x^2+1)^2\n= (x^2+1) (x^2+1)\n=x^4+2x^2+1 

Since Left Hand Side=Right hand Side. For all x, the equation is always true.

Therefore, the pattern is true for any Pythagorean triple.

ABCD is a rectangle. Find the length of each diagonal.ac=2(5a+1) bd=2(a+1).

Answers

The length of the diagonal of the rectangle is d = 2

What is the diagonal of a rectangle?

The diagonal of a rectangle is calculated by the formula

From the Pythagoras Theorem , The hypotenuse² = base² + height² , and

Diagonal of a Rectangle = √ ( Length )² + ( Width )²

Given data ,

Let the rectangle be represented as ABCD

Now , the diagonal of the rectangle is AC and BD

The measure of AC = 2 ( 5a + 1 )

And , the measure of BD = 2 ( a + 1 )

For a diagonal of a rectangle ,

The two diagonals of the rectangle will be same

So , the measure of AC = measure of BD

Substituting the values in the equation , we get

2 ( 5a + 1 ) = 2 ( a + 1 )

On simplifying the equation , we get

Divide by 2 on both sides of the equation , we get

5a + 1 = a + 1

Subtracting a on both sides of the equation , we get

4a + 1 = 1

Subtracting 1 on both sides of the equation , we get

4a = 0

a = 0

Now , substitute the value of a in measure of AC , we get

The measure of diagonal AC = 2 ( 5 ( 0 ) + 1 )

The measure of diagonal AC = 2

Hence , the measure of diagonals of the rectangle = 2

To learn more about diagonal of rectangle click :

brainly.com/question/13583275

#SPJ5
   
Rectangle diagonals are equal.

2(5a+1) = 2(a+1)
10a + 2 = 2a + 2
10a -2a = 2 - 2
8a = 0
⇒ a = 0

AC = 2(5a+1)  = 2(5 × 0 +1)= 2(0 + 1) = 2 × 1 = 2  
BD = 2(a+1) = 2(0 + 1) = 2 × 1 = 2

Ansver:   AC = BD = 2 

PLEASE HURRY According to a poll, 30% of voters support a ballot initiative. Hans randomly surveys 5 voters. What is the probability that exactly 2 voters will be in favor of the ballot initiative? Round the answer to the nearest thousandth.P (k successes) = Subscript n Baseline C Subscript k Baseline p Superscript k Baseline (1 minus p) Superscript n minus k. Subscript n Baseline C Subscript k Baseline = StartFraction n factorial Over (n minus k) factorial times k factorial EndFraction

0.024

0.031

0.132

0.309

Answers

Answer:

0.309

Step-by-step explanation:

→ Utilise the binomial distribution formula

p=nCr*p^(n) *q^(n-r)

→ It first will be 5C2 as there is 5 possible voters but he wants 2 voters

p=5C2*p^(n) *q^(n-r)

→ Then it will be 0.3^(2) as the probability they are in favour is 0.3 and we get the n from the 2 number for the 5C2

p=5C2*0.3^(2) *q^(n-r)

→ There for q will be 0.7 as it is the other probability left and the power will be 3 as it is n - r

p=5C2*0.3^(2) *0.7^(3)

→ Then getting 0.3087 which is 0.309

Answer:

Option D) 0.309

Step-by-step explanation:

Correct on edge

Elisha is a photographer and charges a set fee to photograph weddings. This is an example of _____ income.a. capital gains

b. earned

c. hourly

d. passive

Answers

If Elisha is a photographer and charges a set fee to photograph weddings, this is an example of passive income

Passive income

A passive income is an income that is unstable. Most passive incomes are generated from a business or side hustle.

For Elisha, he is into photography and the money he will generate from such will be a passive income.

Hence if Elisha is a photographer and charges a set fee to photograph weddings, this is an example of passive income

Learn more on passive income here: brainly.com/question/1246309

Answer:

B.

Step-by-step explanation:

Earned
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