All work<span> should be submitted in its original form. ... (b) </span>If<span> v=— </span>show<span> that z=a^~^\ and </span>find<span> from either equation 1 ' " x-a' p—a' H the </span>value<span> of a in order that </span>x<span>='i when y=2. Also, for this ... Thence </span>find<span> the length of an edge of such a box weighing </span>18<span>$ pounds, </span>if<span> the thickness is 1 inch and the weight 1 ounce to the cubic inch.</span>
Answer:
Step-by-step explanation:
Step-1 : Multiply the coefficient of the first term by the constant 2 • 2 = 4
Step-2 : Find two factors of 4 whose sum equals the coefficient of the middle term, which is 3 .
-4 + -1 = -5
-2 + -2 = -4
-1 + -4 = -5
1 + 4 = 5
2 + 2 = 4
4 + 1 = 5
Observation : No two such factors can be found !!
Answer:
<u>x = 1.2√2</u>
Step-by-step explanation:
Taking the cosine value of the angle :
- cos 45° = 1.2/x
- 1/√2 = 1.2/x
- <u>x = 1.2√2</u>
We need to convert this equation to slope-intercept form first.
We can do that by solving for y.
x - 5y = 15
<em><u>Add 5y to both sides.</u></em>
x = 5y + 15
<em><u>Subtract 15 from both sides.</u></em>
x - 15 = 5y
<em><u>Divide both sides by 5.</u></em>
y = 1/5x - 3
We now know the slope is 1/5.
The slope of the line perpendicular to the line with a slope of 1/5 is -5.
The slope of a perpendicular line is the negative reciprocal of the original slope.
Using a graphing calculator, we know the y-intercept of the line that is perpendicular to the original line must have a y-intercept of -6 to run through the points (-2, 5).
The equation of the new line is y = -5x - 6.
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