Answer:
Step-by-step explanation:
The standard form of an equation of a circle:
(h, k) - center
r - radius
We have the center (-5, 0) and the radius r = 8. Substitute:
The inequality is 4x - 6 < - 2 and solution for number is x < 1, where "x" is the variable
<em><u>Solution:</u></em>
Given that four times a number decreased by 6 is less than -2
To find: Define a variable, write an inequality, and solve for the number
Let "x" be the required number
From given information,
four times a number decreased by 6 < -2
four times "x" decreased by 6 < - 2
Here "times" represents multiplication. Four times x means 4 is multiplied by x
Decreased means something is subtracted away
Here 6 is subtracted from four times "x"
<em><u>So we frame a inequality as:</u></em>
4x - 6 < - 2
Moving -6 from R.H.S to L.H.S,
4x < -2 + 6
4x < 4
Dividing both sides by 4,
x < 1
Thus the inequality is 4x - 6 < - 2 and solution for number is x < 1
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: L, J, K
Step-by-step explanation:
L, J, and K are collinear because they all lie on the same line.
Answer:
36 is 25% of 144
Step-by-step explanation:
25% means 25/100 or 1/4. Thus, 36 is 1/4 of 36*4 = 144
