Answer:
y=-2x+5
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(5-0)/(0-2.5)
m=5/-2.5
m=-2
y-y1=m(x-x1)
y-0=-2(x-2.5)
y=-2(x-2.5)
y=-2x+5
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Answer:
Each friend would get 100000000
Step-by-step explanation:
1000000000 ÷ 10 = 100000000
Answer:
1.7689 (rounded to 4 decimal places)
Step-by-step explanation:
Let the number we are seeking be "x", thus we can write the equation as:
Since we have raised "x" to the "10th power", to get "x" back again, we need to take 10th root. Same goes for right side, we take 10th root of 300. We will get our answer. The process shown below:
hence, 1.7689 raised to 10th power will give us 300
The answer is
the first one is x= 18.98
a^2+b^2=c^2
8 cm^2+17 cm^2= x^2
64+289=x^2
√x^2= √353
x=18.89
<span><span>the second one is x= 18.7
a^2+b^2=c^2
7 m^2+ x^2= 20 m^2
49 m+x^2=400 m
-49 -49
</span></span>√x^2=√352
<span><span>x= 18.7
Hope this helps!</span></span>
Answer:
Step 6 is missing the fact that the left hand side is raised to the second power.
Step-by-step explanation:
First cancel c from the left hand side by subtracting it from each side:
ax²+bx+c = 0
ax²+bx+c-c = 0-c
ax²+bx = -c
Next cancel a from the left hand side by dividing all terms by a:
ax²/a + bx/a = -c/a
x² + (b/a)x = -c/a
Next we will complete the square. We do this by dividing the second coefficient, b/a, by 2 and then squaring it; (b/a)÷2 = b/2a; (b/2a)² = b²/4a²
Add this to each side:
x²+(b/a)x+(b²/4a²) = -c/a + (b²/4a²)
Next we will find a common denominator on the right hand side. To do this, multiply the first term by 4a (to make the denominator 4a²):
x²+(b/a)x+(b²/4a²) = (-c*4a)/(a*4a) + (b²/4a²)
x²+(b/a)x+(b²/4a²) = -4ac/4a² + b²/4a²
We can write the left hand side as a squared binomial:
(x+b/2a)² = (b²-4ac)/4a²
Take the square root of both sides:
√(x+b/2a)² = √((b²-4ac)/4a²)
x+b/2a = √(b²-4ac)/2a
Subtract b/2a from each side:
x+b/2a - b/2a = √(b²-4ac)/2a - b/2a
x = (-b ± √(b²-4ac))/2a