Answer:
Step-by-step explanation:
hello :
The circumference of the circle is 6π inches
The length of the arc is (340/360)×6π = 17.8 inches
(The complete circumference would cover 360°. Angle ALB is 340°)
:
Answer:
-(x + 6)(x - 7)
Step-by-step explanation:
The expression that we have can also be expressed in the following way:
- (x ^ 2 - x - 42)
Now to factorize we must find two numbers that multiplied by -42 and the sum of these numbers by -1.
these numbers are: -7 and 6
-7 * 6 = -42
-7 + 6 = -1
Thus:
- (x + 6) (x - 7)
X + 11 + 8x = 29. We need to solve for x.
First, on the left side, you have "x" and "8x": You can always add 2 numbers with the same variable, so you have 1 number: x + 8x = 1x + 8x = (1+8)x = 9x
So we get:
9x + 11 = 29
Now subtract 11 from both sides (You can't do any operation if you don't do it both sides), so you can get the variable alone on the left side, and the numbers on the right side:
9x + 11 = 29
9x + 11 - 11 = 29 - 11
9x = 18
Now divide both sides by 9, so you can transform the coefficient of x to one, and have the numeric value of x on the right side:
9x = 18
(9x)/9 = 18/9
x = 2
So x+11+8x = 29 for x = 2.
You can recheck your answer (very important):
x + 11 + 8x = 2 + 11 + 8*2 = 2 + 11 + 16 = 13 + 16 = 29
The answer has been approved.
Hope this Helps! :)
Answer:
63
Step-by-step explanation:
35% are of seventh grade.
total students = 180
.: 35% of 180. = 35/100 × 180 = 35 × 18 /10
= 630/10
=63
.: The number of seventh graders are 63.
Answer:
2x² + 3x + 4 + (17x + 9) / (x² − 4)
Step-by-step explanation:
Start by setting up the division. Make sure to write all the coefficients, even the zero ones.
x² + 0x − 4 | 2x⁴ + 3x³ − 4x² + 5x − 7
Start by dividing the first term of the dividend (2x⁴) by the first term of the divisor (x²). That's 2x²; it'll be the first term in quotient. Multiply the divisor by 2x²:
2x⁴ + 0x³ − 8x²
Subtract that from the first three terms of the dividend:
3x³ + 4x²
Drop down the next term from the dividend, and start the process all over again.
3x³ + 4x² + 5x
When you finish, the quotient will be 2x² + 3x + 4, and the remainder will be 17x + 9.
