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3 years ago

If only two points are needed to determine a line why are three ordered pair solutions or points found for a linear equation

1 answer:

3 0

Two points give you a line. A third point (often called a check-point) is used to confirm the accuracy of your first two points. If all three line up, you have confirmed you have the correct line.

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There are 300 boys in a mixed school. If the ratio of the boys to the girls is 4:5 what is the total number of students in the s

Charra [1.4K]

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4 : 5

300 : ?

Divide 300 by 4 to find out what '1 part' would count as:

300/4 = 75

Multiply this by 5

75 x 5 = 375

Add the two values together

375 + 300 = 675

There are 675 students

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8 0

3 years ago

Read 2 more answers

(b) The area of a rectangular window is 8160 cm?.

m_a_m_a [10]

The length should be 96. It just divided 8,160 with 85 and this popped up!

8 0

3 years ago

Which linear equations have one solution? Check all that apply.

neonofarm [45]

Answer:

The linear equations which have one solution are C. $4\cdot (-6) +4 = 2\cdot (r-3)$ , D. $2\cdot (-4) = 5\cdot (r-3) +3$ and E. $(20-1) +3\cdot r = 5\cdot (r-2) + 3$ .

Step-by-step explanation:

From Algebra we know that a system of linear equation has a unique solution when the number of variables is equal to the number of equations. Now we proceed to check if each option fulfills this condition:

A. $5\cdot x -1 = 3\cdot (r + 11)$ : Number of equations: 1/Number of variables: 2 $\{x, r\}$

B. $4\cdot (r-2)+4\cdot x = 8\cdot (x-9)$ : Number of equations: 1/Number of variables: 2 $\{x, r\}$

C. $4\cdot (-6) +4 = 2\cdot (r-3)$ : Number of equations: 1/Number of variables: 1 $\{r\}$

D. $2\cdot (-4) = 5\cdot (r-3) +3$ : Number of equations: 1/Number of variables: 1 $\{r\}$

E. $(20-1) +3\cdot r = 5\cdot (r-2) + 3$ : Number of equations: 1/Number of variables: 1 $\{r\}$

The linear equations which have one solution are C. $4\cdot (-6) +4 = 2\cdot (r-3)$ , D. $2\cdot (-4) = 5\cdot (r-3) +3$ and E. $(20-1) +3\cdot r = 5\cdot (r-2) + 3$ .

3 0

3 years ago

How is 21/30 less or greater than 3/5

Dennis_Churaev [7]

To see this, we make the denominator the same. So, as 30 / 5 is 6, you do 21 / 6 which is 3.5. Therefore, 21/30 = 3.5/5, so is greater than 3/5

7 0

3 years ago

What is the following difference?

Svetllana [295]

Answer:

$-7ab\sqrt[3]{3ab^2}$

Step-by-step explanation:

Remove perfect cubes from under the radical and combine like terms.

$2ab\sqrt[3]{192ab^2}-5\sqrt[3]{81a^4b^5}=2ab\sqrt[3]{4^3\cdot 3ab^2}-5\sqrt[3]{(3ab)^3\cdot 3ab^2}\\\\=(8ab -15ab)\sqrt[3]{3ab^2}=\boxed{-7ab\sqrt[3]{3ab^2} }$

7 0

3 years ago