To construct the equations for these lines, we are going to use the point-slope formula, which is:
- is the slope of the line
- is a point on the line
1)
In this case, our point is (2, -1) and our line has a slope of 5. (Remember that the line is parallel, meaning that it has the same slope as the given line. Since the line is in the y = mx + b format, we could easily pick out the slope m as being 5.)
Thus, we can "plug in" what we know into our formula to find the equation of our line:
2)
We are going to do the same thing, except our point is now (0, -5) and our slope is now 9.
Our equations are:
1) y = 5x - 11
2) y = 9x - 5
Answer:
The measure of the larger angle is (7 x + 23) = 51°
Step-by-step explanation:
Two angles A and B are said to be <u>complimentary angles</u> if and only if their measure adds up to 90°.
⇒ ∠A + ∠B = 90°.
So, here given (7 x+23)and (3 x+27) are complimentary.
⇒ (7 x+23) + (3 x+27) = 90°
or, 10 x + 50 = 90°
⇒ 10 x = 90° - 50 = 40°
or, x = 40/ 10 = 4°
So, the first angle = (7 x+23) = 7 (4) + 23 = 51°
and the second angle is (3 x+27) = 3(4) + 27 = 39°
Hence, the measure of the larger angle is (7 x + 23) = 51°
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
Represent Length with L, Width with W and Perimeter with P
Required
Determine the Area
From the perimeter, we need to solve for x;
Substitute values for P, L and W
Collect Like Terms
Open bracket
Collect Like Terms
Solve for x
The Area is then calculated using:
Substitute 5.1 for x
<em>Hence, the area is </em><em></em>
the answer its 120 hope helps you