Area of Square/Rectangle-LxW
Area of triangle-BxH(divided by)2
Area of polygon=56
Answer:
D. y = 2x + 3
Step-by-step explanation:
Use the table to answer the question.
x:-2 -1 0 1 2
y: -1 1 3 5 7
Which equation represents the relationship between x and y shown in the table.
Solution:
The table shows a linear relationship between x and y.
A linear equation is in the form y = mx + b, where y is a dependent variable, x is an independent variable, m is the rate of change (slope) and b is the value of y when x = 0.
The table (x, y) has the points (-2, -1) and (0, 3). The equation is given by:
![y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-(-1)= \frac{3-(-1)}{0-(-2)} (x-(-2))\\\\y+1=2(x+2)\\\\y+1=2x+4\\\\y=2x+3](https://tex.z-dn.net/?f=y-y_1%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%20%28x-x_1%29%5C%5C%5C%5Cy-%28-1%29%3D%20%5Cfrac%7B3-%28-1%29%7D%7B0-%28-2%29%7D%20%28x-%28-2%29%29%5C%5C%5C%5Cy%2B1%3D2%28x%2B2%29%5C%5C%5C%5Cy%2B1%3D2x%2B4%5C%5C%5C%5Cy%3D2x%2B3)
1. Given any triangle ABC with sides BC=a, AC=b and AB=c, the following are true :
i) the larger the angle, the larger the side in front of it, and the other way around as well. (Sine Law) Let a=20 in, then the largest angle is angle A.
ii) Given the measures of the sides of a triangle. Then the cosines of any of the angles can be found by the following formula:
![a^{2}=b ^{2}+c ^{2}-2bc(cosA)](https://tex.z-dn.net/?f=%20a%5E%7B2%7D%3Db%20%5E%7B2%7D%2Bc%20%5E%7B2%7D-2bc%28cosA%29%20%20%20)
2.
![20^{2}=9 ^{2}+13 ^{2}-2*9*13(cosA) 400=81+169-234(cosA) 150=-234(cosA) cosA=150/-234= -0.641](https://tex.z-dn.net/?f=%2020%5E%7B2%7D%3D9%20%5E%7B2%7D%2B13%20%5E%7B2%7D-2%2A9%2A13%28cosA%29%0A%0A400%3D81%2B169-234%28cosA%29%20%20%20150%3D-234%28cosA%29%0A%0AcosA%3D150%2F-234%3D%20-0.641)
3. m(A) = Arccos(-0.641)≈130°,
4. Remark: We calculate Arccos with a scientific calculator or computer software unless it is one of the well known values, ex Arccos(0.5)=60°, Arccos(-0.5)=120° etc
Answer:
- Using the y-axis to represent pounds, and the x-axis to represent kilograms, the graph is straight line going through the origin with a slope of 2.2 lbs/kg.
Explanation:
A constant conversion factor, such as 1 kg 2.2 lb, means that the two units are in direct proportion; thus the graph is a straight line that goes through the origin.
The conversion factor also gives the slope of the line.
Depending on which axis you choose for either unit the slope may be 2.2 pounds per kilogram, or 1/2.2 kilogram per pound.
When you use the y-axis for pounds and the x-axis for kilograms then the relationship is:
In that case, the slope is 2.2 pounds per kilogram.
Answer: Jim is 8 years old
Step-by-step explanation: just add multiply by 2