Answer:
y=-1/4x+8
Step-by-step explanation:
To find the equation of a line that is perpendicular to a line, you would take the opposite reciprocal of the slope.
Before that, we need to change the equation into slope-intercept form.
-4x+y=10
y=4x+10
The opposite reciprocal of the slope is -1/4.
Now, let's use the point-slope formula to find our equation of the line that passes through (-4,9).
y-y1=m(x-x1)
y-9=-1/4(x-(-4))
y-9=-1/4x-1
y=-1/4x+8
(4, 1) the process is shown in the following picture
The answer is f(x)=x²+2x when evaluated with -3 gives you the value of 3
Let's check all functions.
1. The function f(x)=x²<span>+2x when evaluated with 3 gives you the value of 3:
Evaluated with x means that</span> x = 3.
f(3) = 3² + 2 * 3 = 9 + 6 = 15
15 ≠ 3, so, this is not correct.
2. f(x)=x²<span>-3x when evaulated with -3 give you the value of 3
Evaluated with -3 means that x = -3.
(f-3) = (-3)</span>² - 3 * (-3) = 9 + 9 = 18
18 ≠ 3, so, this is not correct.
3. f(x)=x²<span>+2x when evaluated with -3 gives you the value of 3
</span> Evaluated with -3 means that x = -3.
f(-3) = (-3)² + 2 * (-3) = 9 - 6 = 3
3 = 3, so this is correct.
4. f(x)=x²-3x when evaluated with -3 gives you the value of 3
Evaluated with 3 means that x = 3.
f(3) = (3)² - 3 * 3 = 9 - 9 = 0
0 ≠ 3, so this is not correct.
Answer:
Circumference of Circle B=19.625cm
Step-by-step explanation:
The circumference formula is: 2pie(r) = pie(d)
We have diameter of the first circle which is 6. Now, because the diameter of second circle is 25% greater than this,
Hence, we add 25% in 6:
6+25/100 =6+0.25=6.25 cm
Therefore, we have diameter of 6.25 for circle B.
Now, we need to find the circumference of the Circle A.
circumference= pie(d) = pie(6)= 3.14times6= 18.84
Now use the proportional reasoning to find Circumference of Circle B:
circumference of Circle A/diameter Circle A = circumference of Circle B/diameter Circle B
18.84/6=circumference of Circle B/6.25
Cross multiply and divide:
(18.84times6.25)/6 = Circumference of Circle B
Solve:
Circumference of Circle B=19.625cm
Hope this helps!
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Answer: 50%
Step-by-step explanation: 50%