Answer:
15.7 cm
Step-by-step explanation:
The perimeter of the entire circumference is
entire perimeter = 2п r
п = 3.14 (aprox)
r = radius = 3cm
entire perimeter = 2*3.14*3 = 18.84 cm
the entire perimeter of the circumference corresponds to 360 degrees
then,
proportions:
18.84 cm ⇔ 360°
F cm ⇔ 300°
F = 18.84*300/360
F = 15.7 cm
Answer:
<h2><u>b = 2 or b = -2</u></h2>
Explanation:
|4b + 4| = |2b + 8|
<em>Solve absolute value</em>
|4b + 4| = |2b + 8|
Either 4b + 4 = 2b + 8 or 4b + 4 = −(2b + 8)
4b + 4 = 2b + 8 <em>(Possibility 1)</em>
4b + 4 − 2b = 2b + 8 − 2b <em>(Subtract 2b from both sides)</em>
2b + 4 = 8
2b + 4 − 4 = 8 − 4 <em>(Subtract 4 from both sides)</em>
2b = 4
2b / 2 = 4 / 2 <em>(Divide both sides by 2)</em>
b = 2
4b + 4 = −(2b + 8) <em>(Possibility 2)</em>
4b + 4 = −2b − 8 <em>(Simplify both sides of the equation)</em>
4b + 4 + 2b = −2b − 8 + 2b <em>(Add 2b to both sides)</em>
6b + 4 = −8
6b + 4 − 4 = −8 − 4 <em>(Subtract 4 from both sides)</em>
6b = −12
6b / 6 = -12 / 6 <em>(Divide both sides by 6)</em>
b = -2
<h2><u>b = 2 or b = -2</u></h2>
Answer:
x + 4x + 1 = 76
Step-by-step explanation:
Let
x = Leon's amount
y = Laci's amount
"Laci has $1 more than 4 times Leon"
i.e y = 1 + 4x ----------------(1)
"together they have $76
i.e x + y = 76 ----------------(2)
if you take equation (1), and substitute for the value of y in equation (2):
equation (2) becomes:
x + (1 + 4x) = 76
or
x + 4x + 1 = 76 (answer)
Answer:
y=-6x+8
Step-by-step explanation:
Slope-intercept form is y=mx+b, where m is the slope and b is the y intercept.
We know a point (2,-4) and a slope -6.
We can subtsitute what we know into the equation above, to find what the y intercept is, since the line will pass through the point given.
-4=-6(2)+b
multiply
-4=-12+b
add 12 to both sides
8=b
the y intercept is (0,8)
Now we know what b is, so we know what the full equation is:
y=-6x+8
hope this helps!