Help Fast. Choose the system of inequalities that best matches the graph below.

Use the given conditional statement to determine the converse and inverse statements. If a line is vertical, then it has undefin

Georgia [21]

1) Definitions:

1.1) Inverse statement: negating the hypothesis and the conclusion of the original statement, i.e.:

conditional statement: p → q

inverse: ~p → ~q (the symbol ~ means the negation)

1.2) Converse statement: switching the hypothesis and the conclusion of the conditional statement, i.e.:

conditional statement: p → q

converse: q → p

2) converse of the given statement

conditional: <span>If a line is vertical, then it has undefined slope.

converse: switch the hypothesis and the conclusion

if a line has undefined slope, then it is vertical <------- answer

</span>3) Inverse of the given statement

conditional: if <span>a line is vertical, then it has undefined slope.

inverse: negate both hypothesis and conclusion.

</span>if a line is not vertical, then it does not have an undefined slope <---answer

8 0

3 years ago

Which ordered pair is the solution to the system of equation

Neporo4naja [7]

Hello,

Please, see the attached file.

Thanks

3 0

4 years ago

Mr. Barnett’s test is normally distributed with a mean of 65 with a standard deviation of five points what is the probability th

uranmaximum [27]

Answer: 2.5%

Step-by-step explanation:

Mean score = 65

Standard deviation = 5

Score (x) = >75

Z-score = [(score - mean) ÷ standard deviation]

Z - score = [(75 - 65) ÷ 5]

Z - score = 10 ÷ 5 = 2

P(score higher than 75) = 100 - 95 = 5/2 = 2.5%

4 0

3 years ago

Lydia graphed ΔXYZ at the coordinates X (0, −4), Y (2, −3), and Z (2, −6). She thinks ΔXYZ is a right triangle. Is Lydia's asser

katrin [286]

Answer:

Option (4)

Step-by-step explanation:

Vertices of the triangle are X(0, -4), Y(2, -3) and Z(2, -6).

Slope of XY ( $m_{1}$ ) = $\frac{y-y'}{x-x'}$

= $\frac{-3+4}{2-0}$

( $m_{1}$ ) = $\frac{1}{2}$

Similarly, slope of XZ ( $m_{2}$ ) = $\frac{-6+4}{2-0}$

( $m_{2}$ ) = (-1)

$m_{1}\times m_{2}=-\frac{1}{2}$

Which should be (-1) if XY and XZ are perpendicular to each other.

Now we can say that XY and XZ are not perpendicular.

Therefore, Lydia's assertion that ΔXYZ is a right triangle is not correct.

Option (4) will be the answer.

5 0

3 years ago

Pls help many thanks

salantis [7]

So, let's make these two values improper fractions so they're easier to work with. $4+\frac{1}{3}=\frac{12}{3}+\frac{1}{3}=\frac{13}{3} 3+\frac{1}{2}=\frac{6}{2}+\frac{1}{2}=\frac{7}{2}$

So, to get the rate he grew in those months we have:

$\frac{\frac{13}{3} \text{inches}}{\frac{7}{2}\text{months}} =\frac{26\text{inches}}{21\text{months}}$

And to get the rate he grew in one month we have to divide both our numerator and our denominator by 21 to get:

$\frac{\frac{26}{21} \text{inches}}{\text{month}}\approx \frac{1.24\text{inches}}{\text{month}}$ aka he grew 1.24 inches in a month.

7 0

3 years ago

Read 2 more answers