MATHEMATICS HIGH SCHOOL

4. The point

5 1/3 units from A and

2/3

units from B

Answers

Answer 1

Answer:

Given :

A point x whose distance from A is 5 1/3 units.

distance between x and B is 2/3 units.

To Find :

Distance between A and B if they both are on left side of straight line from x.

Solution :

Let distance between A and B is d :

$d=|A-B|\n\nd=|5(1)/(3)-(2)/(3)|\n\nd=|(16)/(3)-(2)/(3)|\n\nd=(14)/(3)\n\nd=4(2)/(3)\ units$

Therefore, distance between A and B is 4 2/3 units.

Hence, this is the required solution.

Related Questions

Find the value of m 2m×2m±⁹=4⁶
One number is -3 times the first number. The sum of the numbers is -4. What is the second number?
A teacher wants to arrange 16 chairs in equal rows in his classroom. How can he arrange the chairs? () in 4 rows, with 20 chairs in each row () in 2 rows, with 8 chairs in each row » In Brows, with 8 chairs in each row () in 3 rows, with 5 chairs in each row My Progress Sign out
The sides of a square are two to the power of four ninths inches long. What is the area of the square?two to the power of the fraction sixteen over eighty one square inches four to the power of the fraction sixteen over eighty one square inches two to the power of eight ninths square inches four to the power of eight ninths square inches
An open box will be made from a rectangular piece of cardboard that is 8 in. by 10 in. The box will be cut on the dashed red lines, removing the corners, and then folded up on the dotted lines. The box needs to have the MAXIMUM volume possible. How long should the cuts be?A) 1.5 in. B) 5.8 in. C) 52 in. D) 80 in.

Find three points and then graph: y 3/4x-1

Answers

y = 3/4x - 1
to find points, plug in a value for x and solve for the y.

i'm going to start with x =4, and solve for a y

y = 3/4(4) -1
y = 3 - 1
y = 2

The point is (4,2)

Find two other values by choosing two other x values and then you can graph the line

Hope this helps!

$y= (3)/(4)x-1\n\ny=0\ \ \to\ \ (3)/(4)x-1=0\ \ | \ add\ 1\ to\ both\ sides\n\n \frac{3} {4}x=1\ \ | \ multiply\ both\ sides\ by\ (4)/(3) \n\nx= (4)/(3)\n( (4)/(3),0)\n\n x=0\ \ \to\ \ y= (3)/(4)*0-1=-1\n(0,-1)$

Question 2 of 10 What is the length of side s of the square shown below? 45 6 09 90° O A. 6 O B. 2 O C. 32 O D. 5 O E. 3 OF. 6-12

Answers

Answer:

Step-by-step explanation:

Using the cosine ratio in the right triangle and the exact value

cos45° = $(√(2) )/(2)$ , then

cos45° = $(adjacent)/(hypotenuse)$ = $(s)/(6)$ = $(√(2) )/(2)$ ( cross- multiply )

2s = 6 $√(2)$ ( divide both sides by 2 )

s = 3 $√(2)$ → C

Anna wants to bake 2 1/2 dozen cookies for a party. However, the recipe she has only makes a dozen cookies. If the original recipe calls for 1 1/4 cups of sugar, how many cups of sugar does she need to make the cookies for her party? Express your answer as a mixed number.

Answers

Given :

Sugar required for 2 1/2 = 5/2 dozen of cookies is 1 1/4 = 5/4 cups.

To Find :

How many cups of sugar does she need to make the cookies for her party.

Solution :

Let, cups of sugar required to make cookies for her party is x.

So,

$x = ((5)/(4))/((5)/(2))\n\n\nx = (1)/(2)$

Therefore, 1/2 cup of cookies is required to make 1 dozen cookies.

Hence, this is the required solution.

Answer: 25/8

Step-by-step explanation:

We would first turn 2 1/2 and 1 1/4 into an improper fraction.

That leaves us with 5/2 and 5/4.

Then, because she needs to make 5/2 dozen cookies and needs 5/4 cups of sugar for every batch, we would multiply 5/2 and 5/4 together.

Therefore x, or the amount of sugar she needs, is 25/8

Chance had 48 cents. his mom gave him 7 dollars. how much money does chance have now?

Answers

$ .48 + $7.00 = $7.48

Final answer:

Chance has $7.48. This was calculated by converting the dollars that his mom gave him into cents, adding it to the cents he already had, and converting it back into dollars and cents.

Explanation:

To answer this question, it is important to firstly convert the measure of money to the same unit for easier addition. Chance had 48 cents, which is less than 1 dollar, and his mom gave him 7 dollars.

Since 1 dollar is equal to 100 cents, 7 dollars will be equal to 700 cents.

Now, we can add up the cents to find out how much total money Chance has: 48 cents that Chance originally had plus 700 cents from his mom equals 748 cents,

Converting cents back into dollars (as 1 dollar = 100 cents), Chance has 7 dollars and 48 cents (or $7.48).

Learn more about Dollar-cent conversion and addition here:

brainly.com/question/35715004

#SPJ2

Two numbers are randomly selected from integers 1 through 9. What is the probability that only one of the integers is odd given that the sum of the two numbers is odd?1/4

1

40/81

5/40

Answers

Another one where there's a danger of overthinking it !

The sum of ANY two integers is odd only if one is even and one is odd.

If they're both odd OR both even, then their sum is even.

So if their sum is odd, then one is odd and the other is even.

The probability is ' 1 ' (100%) .

If f(x)=(x+1)−1 and g(x)=x−2, what is the domain of f(x)÷g(x)f(x)÷g(x)?