Solution:
<u>Step-1: Find the slope of the line.</u>
Formula of slope: y₂ - y₁/x₂ - x₁
- y₂ - y₁/x₂ - x₁ = Slope
- => -2 - (-5)/-8 - (-4) = Slope
- => -2 + 5/-8 + 4 = Slope
- => 3/-4 = Slope
<u>Step-2: Use the point slope formula to determine the slope.</u>
Point slope form formula: y - y₁ = m(x - x₁)
- y - y₁ = m(x - x₁) = Equation of line
- => y - (-5) = -3/4{x - (-4)} = Equation of line
- => y + 5 = -3/4{x + 4} = Equation of line
- => y + 5 = -3x/4 - 3 = Equation of line
- => y = -3x/4 - 8 = Equation of line
The equation of the line is <u>y = -3x/4 - 8.</u>
Answer:
C. Corresponding angles
Step-by-step explanation:
Corresponding angles are angles formed by a transversal on the same side of the transversal and on the same side of each parallel lines.
Answer:
48
Step-by-step explanation:
Using Uclid's division algorithm, the HCF of 960 and 432 can be obtained as follows:
Here, 960 is greater and 432 is smaller. We divide 960 by 432.
STEP 1:
960 = 432*2 + 96
STEP 2:
Divide divisor (432) by remainder (96)
432 = 96 * 4 + 48
STEP 3:
Divide divisor (96) by remainder (48)
96 = 48 * 2 + 0
Since, remainder at this step is zero (0), so the HCF would be the divisor of this step which is 48.
Thus, HCF of 960 and 432 is 48
Just subtract 27 from 31.25
31.25-27=4.25
Brandon must cut 4.25 seconds
Answer:
3
Step-by-step explanation:
Given the complex number z = a + bi then the absolute value is
| z | = 
Given - 4 - i, then absolute value is
= 
= 
= 
= 3
