Answer:
<u><em>The equation is y = (1/2)x + - 3.5</em></u>
Step-by-step explanation:
We look for an equation with the form y = mx + b, where m is the slope and b the y-intercept.
We're given the slope, (1/2) which we can use for m:
y = (1/2)x + b
We are told the line goes through (5,-1). We need a value of b that will move the line to include this point. Do that by substituting the values:
x = 5, and y= -1
y = (1/2)x + b
-1 = (1/2)*5 + b
-1 = (2.5) + b
- 3.5 = b
<u><em>The equation is y = (1/2)x + - 3.5</em></u>
See the attached image.
A = L * H
A = 65
L = 2H - 3
65 = H(2H - 3)
65 = 2H^2 - 3H
-2H^2 + 3H + 65 = 0
(-Hh + 13)(H + 5) = 0
-2H + 13 = 0
-2H = -13
H = -13/-2
H = 6.5 <== height is 6.5 inches
H + 5 = 0
H = -5....this wont work because it is negative
L = 2H - 3
L = 2(6.5) - 3
L = 13 - 3
L = 10 <== length is 10 inches
Here’s the answer, hope it helps. Btw these are screenshots from someone else’s work not mine
Lines parallel to each others only occur when two slopes of equations are same. The definition of parallel lines is:
We are given the equation of a line which is x = -2. For x = a, the equation forms a verical line and has an undefined slope. These below are basic that you may need to learn when learning about the line graph:
- y = a —> horizontal line; slope is 0.
- x = a —> vertical line; slope is undefined.
- For y = a, any a-values would have same x-values. For example, if we are given y = 2 then any domains or x-values can have the range of 2.
- For x = a, any a-values would have same y-values or range.
Back to the question. We want to find the equation of a line that is <u>p</u><u>a</u><u>r</u><u>a</u><u>l</u><u>l</u><u>e</u><u>l</u> to the line x = -2 and <u>p</u><u>a</u><u>s</u><u>s</u><u>e</u><u>s</u><u> </u><u>t</u><u>h</u><u>r</u><u>o</u><u>u</u><u>g</u><u>h</u><u> </u><u>(</u><u>5</u><u>,</u><u>4</u><u>)</u> point. Recall the definition of parallel line that both slopes of equations must equal. Since x = a for any a-values would give an undefined slope. That means our parallel would be x = b.
Because the line passes through (5,4) - for any a-values from x = a would give out the set of all real numbers for range. Therefore the equation of a line is x = 5.
Answer
- The equation of a line that is parallel to x = -2 and passes through (5,4) is x = 5.
I hope this helps! If you have any doubts or questions, don't hestitate to ask in comment! Good luck on your assignment and have a great day!
Answer:
64 ft²
Step-by-step explanation:
10 ft · 10 ft
100 ft²
6 · 6 = 36
36 ÷ 2 = 18
18 ft² + 18 ft² = 36 ft²
100 ft² - 36 ft²
64 ft²
