Answer:
<h2>8. slope = 2</h2><h2>9. y-intercept = -3</h2><h2>10. in the attachment</h2>
Step-by-step explanation:
The slope-intercept form y = mx + b
m - slope
b - y-intercept → (0, b)
We have the equation
y - 2x = -3 <em>add 2x to both sides</em>
y = 2x - 3
slope m = 2
y-intercept b = -3
We need two points to draw a graph of this linear function.
One is y-intercept (0, -3). The second one is calculated by choosing any value of x and put it to the equation:
for x = 2 → y = 2(2) - 3 = 4 - 3 = 1 → (2, 1).
Answer:
26√5+2√10
Step-by-step explanation:
2√5(13+√2)
Distribute
2√5 *13+√2 *2√5
We know that sqrt(a) * sqrt(b) = sqrt(ab)
26√5+2√10
1. ∠1 ≅ ∠3 1. given
∠1 and ∠6 are supplementary angles
∠3, ∠4, and ∠5 are supplementary angles
2. m∠1 = m∠3 2. definition of congruency
3. m∠1 + m∠6 = 180° 3. definition of supplementary angles
m∠3 + m∠4 + m∠5 = 180°
4. m∠3 + m∠4 + m∠5 = m∠1 + m∠6 4. transitive property
5. m∠3 + m∠4 + m∠5 = m∠3 + m∠6 5. substitution property
6. m∠4 + m∠5 = m∠6 6. subtraction property of equality
Answer:
linear
Step-by-step explanation:
it would be linear because there is a constant rate of change
We will have the following:
*First: We determine the translation rule:
We have that the point went from (3, -4) to (0, -5), thus the translation rule would be:
Second: We apply the translation rule to the other point to determine it's image, that is:
So, the image of the second point is (5, 6).
