determine which pair of points has a positive slope.

(5, –4), (–2, 1)

(6, –10), (2, 10)

(–10, –2), (6, 6)

(5, –1), (–6, 6)

(–10, –2), (6, 6)

Step-by-step explanation:

we know that

The formula to calculate the slope between two points is equal to

Verify each case

case 1) (5, –4), (–2, 1)

substitute in the formula

 ----> the slope is negative

case 2) (6, –10), (2, 10)

substitute in the formula

 ----> the slope is negative

case 3) (–10, –2), (6, 6)

substitute in the formula

 ----> the slope is positive

case 4) (5, –1), (–6, 6)

substitute in the formula

  ----> the slope is negative

according to this law, when unemployment goes up by 1%, gdp drops by 2%. in the question, unemployment rate goes from 2% to 5%, meaning unemployment goes up by 3%, so the gdp drops by 6%. thus the effect is a drop in gdp by 6%.

step-by-step explanation:

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°