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10 months ago

CAN SOMEONE PLS HELP ME W THIS PROBLEM I NEED HELP ASAP

Mathematics

1 answer:

denis-greek [22]10 months ago

6 0

The blank spaces about the passage can be filled with the following correct vocabulary respectively.

inequality
strict inequality
compound inequality
solution sets
true

<h3>Inequality</h3>

An inequality is a relation between two numbers and/or expressions that are related via <, >, ≥ or ≤ sign.

A strict inequality is an expression that uses < and >. It tells us that one side is only more or less than the other side.

When 2 simple inequalities are joined by or and, we get a compound inequality.

When solving an inequality, the solution will be a range of values called its solution sets. The inequality will remain true for every single value in this range.

The inequality signs are;

Greater than >
Less than <
Greater than or equal to ≥
Less than or equal to ≤
Equal to =

Learn more about inequality:

brainly.com/question/25275758

#SPJ1

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2 years ago

true or false:the points (6,13),(21,33),(99,137)all lie on the-same line. the equation of the line is y=4/3x +5

Anit [1.1K]

The answer is true.

Step-by-step explanation:

To find the points all lie on the same line, we need to substitute the points in the equation of the line, to determine if the values on both sides of the equation are equal.

Substituting the point $(6,13)$ in the equation of the line, we get,

$\begin{aligned}y &=\frac{4}{3} x+5 \\13 &=\frac{4}{3}(6)+5 \\&=4(2)+5 \\&=8+5 \\13 &=13\end{aligned}$

Thus, the values on both sides are equal. The point $(6,13)$ lie on the same line.

Substituting the point $(21,33)$ in the equation of the line, we get,

$\begin{aligned}y &=\frac{4}{3} x+5 \\33 &=\frac{4}{3}(21)+5 \\&=4(7)+5 \\&=28+5 \\33 &=33\end{aligned}$

Thus, the values on both sides are equal. The point $(21,33)$ lie on the same line.

Substituting the point $(99,137)$ in the equation of the line, we get,

$\begin{aligned}y &=\frac{4}{3} x+5 \\137 &=\frac{4}{3}(99)+5 \\&=4(33)+5 \\&=132+5 \\137 &=137\end{aligned}$

Thus, the values on both sides are equal. The point $(99,137)$ lie on the same line.

Thus, all the three points lie on the same plane.

Hence, the answer is true.

6 0

2 years ago