Answer:
Ans A). The graph is shown.
Ans B). 18.3333 C temperature when F is 65 temperature
Ans C). 32 F when the line crosses the horizontal axis
Ans D). Slope of line C=
is ![\frac{5}{9}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B9%7D)
Step-by-step explanation:
Given equation is C=![\frac{5}{9}(F -32)](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B9%7D%28F%20-32%29)
Ans A).
For the table,
Take the four value of F as 32,41,50,59.
For F = 32.
The value of C is
C=![\frac{5}{9}(F -32)](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B9%7D%28F%20-32%29)
C=![\frac{5}{9}(32 -32)](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B9%7D%2832%20-32%29)
C=0.
For F = 41.
The value of C is
C=![\frac{5}{9}(F -32)](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B9%7D%28F%20-32%29)
C=![\frac{5}{9}(41 -32)](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B9%7D%2841%20-32%29)
C=05
For F = 50.
The value of C is
C=![\frac{5}{9}(F -32)](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B9%7D%28F%20-32%29)
C=![\frac{5}{9}(50 -32)](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B9%7D%2850%20-32%29)
C=10
For F = 59.
The value of C is
C=![\frac{5}{9}(F -32)](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B9%7D%28F%20-32%29)
C=![\frac{5}{9}(32 -32)](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B9%7D%2832%20-32%29)
C=15
<em>Note: The figure shows a graph of given equation with points.</em>
Ans B). Estimate temperature in C when the temperature in F is 65
For F = 65.
The value of C is
C=![\frac{5}{9}(F -32)](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B9%7D%28F%20-32%29)
C=![\frac{5}{9}(32 -32)](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B9%7D%2832%20-32%29)
<em>C=18.333333.</em>
Ans C). At what temperature, graph lien cross the horizontal axis
When the line crosses the horizontal axis, C=0
Therefore,
C=![\frac{5}{9}(F -32)](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B9%7D%28F%20-32%29)
0=![\frac{5}{9}(F -32)](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B9%7D%28F%20-32%29)
0=![(F -32)](https://tex.z-dn.net/?f=%28F%20-32%29)
F=32 Temperature.
Ans D). Slope of the line C=![\frac{5}{9}(F -32)](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B9%7D%28F%20-32%29)
The slope of line is given by s= ![\frac{Y1-Y2}{X1-X2}](https://tex.z-dn.net/?f=%5Cfrac%7BY1-Y2%7D%7BX1-X2%7D)
Take points from the table of answer A.
let (32,0) and (41,5) using for slope.
s= ![\frac{Y1-Y2}{X1-X2}](https://tex.z-dn.net/?f=%5Cfrac%7BY1-Y2%7D%7BX1-X2%7D)
s= ![\frac{0-5}{32-41}](https://tex.z-dn.net/?f=%5Cfrac%7B0-5%7D%7B32-41%7D)
s= ![\frac{5}{9}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B9%7D)
Slope of line C=
is ![\frac{5}{9}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B9%7D)
The width of the card to the nearest tenth of an inch is 6.15 inches
<h3>Area of rectangle</h3>
- Width = x
- Length = 2x + 1
- Area = 88 square inches
Area of a rectangle = Length × Width
88 = (2x + 2) × x
88 = 2x² + 2x
2x² + 2x - 88 = 0
x = -b ± √b² - 4ac / 2a
= -2 ± √2² - 4(2)(-88) / 2(2)
= -2 ± √4 - (-704) / 4
= -2 ± √708 / 4
= -1/2 ± √177/2
x = 6.15 or -7.15 inches
The width of the rectangle can not be negative, so, 6.15 inches is the width.
Learn more about rectangle:
brainly.com/question/13048427
#SPJ1
Answer:
0.11
Step-by-step explanation:
How do i heart this or give 5 stars?
Distribute the negative, you get 3 + 6i - 8 + 5i
3-8= -5
6i+5i = 11i
so its -5 + 11i