A straight line PQ cuts the x andy axis at M and N respectively. If the points A(-3,5) and B(4,7) lies on PQ , calculate

I need help figuring out how to factor <img src="https://tex.z-dn.net/?f=3%20%7Bx%7D%5E%7B2%7D%20-%2011x%20-%204" id="TexFor

Norma-Jean [14]

Answer:

Step-by-step explanation:

7 0

3 years ago

The cheetah is 7/6 the Perigen falcon is 10/3

Brilliant_brown [7]

The answer is $2 \frac{1}{6}$ .

Explanation:

In order to subtract the fractions, we must make them like fractions. To do this, the denominators must be the same by multiplying (only). Since the first fraction is $\frac{10}{3}$ , 3 can be multiplied by 2 to get 6, which is the other fraction, we can multiply it. Whatever you do to the denominator you must do to the numerator. Now multiply 2 by the numerator (10) to get $\frac{20}{6}$ . Now we can subtract the fractions $\frac{20}{6}$ and $\frac{7}{6}$ to get 13/6. Since this fraction is not in mixed fraction form yet, we must do that first. goes into 13 twice, so the whole number is 2 and there is still 1 left, making the fraction $\frac{1}{6}$ . Therefore, the difference is 2 $\frac{1}{6}$ .

8 0

3 years ago

the sum of the reversed number and the original number is 154. Find the original number, if the ones digit in it is 2 less than

VladimirAG [237]

Answer:

The number is 86

Step-by-step explanation:

Let the number be $xy$ , then the reverse is $yx$

The sum of the reversed number and the original number is 154,

$\implies (10x+y)+(10y+x)=154$

We simplify this to get:

$\implies 11x+11y=154$ ....eqn(1)

If the ones digit in it is 2 less than the tens digit, then

$y=x-2$ ....eqn(2)

Putt equation (2) in (1)

$\implies 11x+11(x-2)=154$

$\implies 11x+11x-22=154$

$\implies 11x+11x=154+22$

$\implies 22x=176$

$\implies x=8$

Put x=8 in the second equation:

$y=8-2=6$

The original number is 86

7 0

2 years ago

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What is 11/15 divided by 1/5

coldgirl [10]

Answer: 11/3 or 3 2/3

Step-by-step explanation:

Simple to do this as the 11 and 15 can be simplified as 1 goes in 11... 11 times and 5 goes into 15... 3 times. Thus 11/3.

3 0

2 years ago

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Which graph represents the solution set for the inequality StartFraction one-half EndFraction x is less than or equal to 18.x ≤

Mrrafil [7]

Answer:

A number line from 0 to 60 in increments of 6. A point is at 36 and a bold line starts at 36 and is pointing to the left. ⇒ last answer

Step-by-step explanation:

* Lets explain how to solve the problem

- When solving an inequality, there are some important points:

# If the inequality is x > a, then it represented on the number line by

a ray with empty small circle as end starts at a and pointed to

the right (⇒ ∞)

# If the inequality is x ≥ a, then it represented on the number line by

a ray with bold small circle as end starts at a and pointed to the

right (⇒ ∞)

# If the inequality is x < a, then it represented on the number line

by a ray with empty small circle as end starts at a and pointed to

the left (⇒ -∞)

# If the inequality is x ≤ a, then it represented on the number line by

a ray with bold small circle as end starts at a and pointed to the

left (⇒ -∞)

* Lets solve the problem

∵ 1/2 x ≤ 18

- Multiply both sides by 2

∴ x ≤ 36

- To represent it draw a number line from 0 to 60 and the counted

by 6 as 0, 6, 12, 18, 24, 30, 36, 42, 48, 54, 60

- Draw a ray with bold end starts at 36 and pointed to the left

∴ A number line from 0 to 60 in increments of 6. A point is at 36 and

a bold line starts at 36 and is pointing to the left.

3 0

3 years ago

Read 2 more answers