Answer:
Step-by-step explanation:
Answer:
The equation would be y = -1/5x + 5
Step-by-step explanation:
To find the equation of this new line, we first need to identify the slope of the first line. We do this by putting it into slope intercept form.
x + 5y = 10
5y = -x + 10
y = -1/5x + 2
In slope-intercept form, the slope is always the coefficient of x. This makes the slope of the first equation -1/5. Since parallel lines have the same slope, our new slope will also be -1/5.
Given that and the point, we can solve for the equation using point-slope form.
y - y1 = m(x - x1)
y - 6 = -1/5(x + 5)
y - 6 = -1/5x - 1
y = -1/5x + 5
Let's solve this problem step-by-step.
STEP-BY-STEP EXPLANATION:
Let's first establish that triangle BCD is a right-angle triangle.
Therefore, we can use Pythagoras theorem to find BC and solve this problem. Pythagoras theorem is displayed below:
a^2 + b^2 = c^2
Where c = hypotenus of right-angle triangle
Where a and c = other two sides of triangle
Now we can solve the problem by substituting the values from the problem into the Pythagoras theorem as displayed below:
Let a = BC
b = DC = 24
c = DB = 26
a^2 + b^2 = c^2
a^2 + 24^2 = 26^2
a^2 = 26^2 - 24^2
a = square root of ( 26^2 - 24^2 )
a = square root of ( 676 - 576 )
a = square root of ( 100 )
a = 10
Therefore, as a = BC, BC = 10.
If we want to check our answer, we can substitute the value of ( a ) from our answer in conjunction with the values given in the problem into the Pythagoras theorem. If the left-hand side is equivalent to the right-hand side, then the answer must be correct as displayed below:
a = BC = 10
b = DC = 24
c = DB = 26
a^2 + b^2 = c^2
10^2 + 24^2 = 26^2
100 + 576 = 676
676 = 676
FINAL ANSWER:
Therefore, BC is equivalent to 10.
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1.9 is the answer. But I could be wrong though.
Answer:
175.9
Step-by-step explanation:
AL=2πrh=2·π·4·7≈175.92919 rounded to the nearest tenth would be 175.9
