9514 1404 393
Answer:
C) 14 cm
Step-by-step explanation:
A triangle solver can quickly show you the third side is 14 cm.
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The law of cosines can be used for this purpose. If the given sides are 'a' and 'b', and the third side is 'c', then that law tells you ...
c² = a² +b² -2ab·cos(C)
c² = 7² +11² -2·7·11·cos(100°) ≈ 196.74
c ≈ √196.74 ≈ 14.03
The length of the third side is about 14 cm.
Answer:
Step-by-step explanation:
Equation of a line is given as:
y = mx + b
Where
m is the slope
and
b is the y-intercept (y-axis cutting point)
Since we know slope is -4, we can write:
y= mx + b
y = -4x+ b
Given the point (-2,7) , we can say:
x = -2
and
y = 7
Plugging these 2 values, we can solve for b:
y = -4x + b
7 = -4(-2) + b
7 = 8 + b
b = 7 - 8
b = -1
Now, we have the equation:
Answer:
19) n = -14
20) x = 4
21) b= -14
22) x = 2
23) x = -1
24) x = -9
Step-by-step explanation:
19) Use the distributive property to get rid of the parentheses. You will get: 20-4n = 76. So, n = -14.
20) Multiply both sides of the equation by 2 to get: -8 + x = -4. So, x = 4
21) Add 3 to both sides to get: = -1. So, b = -14
22) Use the distributive property to get rid of the parentheses. You will get: -40 - 5x = -50. Then, add 40 to both sides to get: -5x = -10. So, x = 2.
23) Use the distributive property to get rid of the parentheses. You will get: -72 = -64 + 8x. Then, add 64 to both sides to get: -8 = 8x. So, x = -1
24) Add 2 to both sides to get: = -3. So, x = -9
Hope this helps :)