MATHEMATICS HIGH SCHOOL

In which quadrants is the ordinate positive?

I and II
II and III
I and IV

Answers

Answer 1
Answer:

Answer:

I and II

Step-by-step explanation:

The quadrants are made out of two lines: ordinates (also called y axis) and abscissa (also called x axis), and their intersection.  This is showed in the pic attached here. As you can see, the quadrants are named starting by the one on top-right with I and going on counter-clock wise.

The ordinates are the vertical. So we need to see which of the quadrants have positive values in the ordinates. Those will be the ones who or on the top of the image, over the abscissa axis.

I hope it works!
Answer 2
Answer: I and II have at least one positive. Start in the upper right, and move counterclockwise to number the quadrants. 

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Which choice is equivalent to the expression below?√12-√27+√75

A.21√3
B.9√3
C.5√3
D.4√3

Answers

√(12) - √(27) + √(75) = √(4*3) - √(9*3) + √(25*3) = \n\n=2√( 3) -3√( 3) + 5√( 3) = 4 \sqrt3}

Answer : \ \ D. \ \ 4 √(3)
√(12)-√(27)+√(75)=√(4\cdot3)-√(9\cdot3)+√(25\cdot3)\n\n=\sqrt4\cdot\sqrt3-\sqrt9\cdot\sqrt3+√(25)\cdot\sqrt3=2\sqrt3-3\sqrt3+5\sqrt3=4\sqrt3\n\nAnswer:D.

On a map with a scale of 1in to 12 feet, the area of a restaurant is 60in squared. Han says that the actual area of the restaurant of 720ft squared. Do you agree or disagree? Explain your reasoning

Answers

Answer: Disagree. The actual area is 8,640\ ft^2 (See explanation)

Step-by-step explanation:

Let be "x" the actual area of the the restaurant.

You know that the scale of the map is 1 inches to 12 feet. This can be written as a fraction:

(1\ in)/(12\ ft)

Calculate the scale drawing area of the restaurant. This is:

((1\ in)/(12\ ft))^2=(1\ in^2)/(144\ ft^2)

Since the area of the restaurant is 60\ in^2 on the map, you can set up this proportion and then solve for "x" in order to find the actual area of the restaurant.

This is:

(144\ ft^2)/(1\ in^2)=(x)/(60\ in^2)\n\n(60\ in^2)((144\ ft^2)/(1\ in^2))=x\n\nx=8,640\ ft^2

Therefore, what Han says is incorrect.

Final answer:

The actual area of the restaurant is 8,640 square feet, not 720 square feet as claimed by Han.

Explanation:

To determine if Han's claim about the actual area of the restaurant is correct, we need to compare the scale of the map and the actual measurements.

The scale of the map is 1 inch to 12 feet. If the area of the restaurant on the map is 60 square inches, we can calculate the actual area using the scale.

The actual area of the restaurant can be calculated by multiplying the area on the map by the square of the scale factor. In this case, the scale factor is 12 feet per inch, so the actual area would be 60 square inches * (12 feet per inch)^2 = 8,640 square feet.

Therefore, Han's claim that the actual area of the restaurant is 720 square feet is incorrect. The correct actual area is 8,640 square feet.

Learn more about scale

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Find the constant of variation, k, for the above table. What does this represent?

Answers

we see that wne price increase, tax increse
direct variation
y=kx
price=x
tax=y

when x=1
y=0.06
0.06=k1
0.06=k


k is 0.06
it reprsent the rate of change

Solve the compound inequality. Graph the solution
-2 ≤ 2x – 4 < 4

Answers

-2 \ \textless \ = 2x - 4 \ \textless \ 4 

-2+4\ \textless \ 2x\ \textless \ 4+4  Add \ 4 \ to \ the \ whole \ equation 

2\ \textless \ 2x\ \textless \ 8  Simplify \ inequality 

1\ \textless \ x\ \textless \ (8)/(2) Divide \ the \ whole \ equation \ by \ 2 

1\ \textless \ x\ \textless \ 4 = (1,4)

Ben owns a townhome valued at $195,000, but still owes $120,000 on the loan. Ben has $5,000 in savings and a balance of$1,400 on his credit cards. There is a balance of $20,000 owed on Ben's car which is valued at $38,000. What is Ben's net

worth?

a $96,600

b. $97,600

CS99 400

d. $106,600

Answers

Answer:

The correct answer is C= $99.400

Step-by-step explanation:

You need to sum all he has and then rest all he owes

The car has a balance of 20000 owed so 38000-20000=$18000 to sum

%195000+$5000+$1400+$180000=$219400

Then you rest what he owes= $219400-$120000=$99400

Thats Ben's net worth

The Answer is C=$99400

The car has a balance of 20000 owed so 38000-20000=$18000 to sum

Answer:

A) 96,600

Step-by-step explanation:

"Balance of $1,400 on his credit cards" refers to a debt of $1,400, meaning you need to subtract it from his savings

Credit card: $5,000 - $1,400 = $3,600

Home: $195,000 - $120,000 = $75,000

Car: $38,000 - $20,000 = $18,000

Net: $3,600 + $75,000 + $18,000 = $96,600

Write 4 /2 over 5 as an improper fraction

Answers

Given 4 2/5 
             
           4 x 5 = 20 + 2 = 22/5

Answer: 22 over 5 or 22/5
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