Answer:
y = (5/4)x - 4
Step-by-step explanation:
As we move from (0, -4) to (4, 1), x increases by 4 and y increases by 5.
Thus, the slope of the line segment connecting these two points is
m = rise / run = 5/4.
Subbing these knowns into the point-slope formula for the equation of a straight line, we get:
y - 1 = (5/4)(x - 4), or
y = (5/4)x - 5 + 1, or
y = (5/4)x - 4
Let's check this out. Determine whether or not (0, -4) satisfies the equation:
-4 = (5/4)(0) - 4
Yes, this is true; the equation is correct.
<h3>
Answer: 9.03</h3>
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Explanation:
For now, focus solely on triangle HGF.
We'll need to find the measure of angle F.
Use the law of cosines
f^2 = g^2 + h^2 - 2*g*h*cos(F)
(4.25)^2 = 8^2 + 6^2 - 2*8*6*cos(F)
18.0625 = 100 - 96*cos(F)
18.0625-100 = -96*cos(F)
-81.9375 = -96*cos(F)
cos(F) = (-81.9375)/(-96)
cos(F) = 0.853515625
F = arccos(0.853515625)
F = 31.403868 degrees approximately
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Now we can move our attention to triangle DEF.
We'll use the angle F we just found to find the length of the opposite side DE, aka side f.
Once again, we use the law of cosines.
f^2 = d^2 + e^2 - 2*d*e*cos(F)
f^2 = (4.75+8)^2 + (11+6)^2 - 2*(4.75+8)*(11+6)*cos(31.403868)
f^2 = 81.563478
f = sqrt(81.563478)
f = 9.031250 approximately
Rounding to two decimal places means we get the final answer of DE = 9.03
Answer:
0
Step-by-step explanation:
-2x+7=3
First you want to get the variable alone. To do that you need to subtract 7 from both sides
-2x+7(-7)=3(-7)
-2x=-4
Next you need to divide -2 on both sides to isolate the variable.
-2x/-2=-4/-2
-2/-2 is 0 and -4/-2 is <em>positive </em>2 because a negative divided by a negative is positive.
x=2
Since x=2 you can plug in 2 into 5x-10 to get the final answer.
5(2)-10
10-10
0
The numbers that fit the description of... my one's digit is two less than my ten's digit ... between 60 and 100 are..
64,75,86,97
97 is the only prime number of those 4.
Hope this helped
Step-by-step explanation:
Unions are important because they help set the standards for education, skill levels, wages, working conditions, and quality of life for workers. Union-negotiated wages and benefits are generally superior to what non-union workers receive. Most union contracts provide far more protections than state and federal laws.
