Answer:
6 1/4
Step-by-step explanation:
Total length of the ribbon= 15 3/4 m= 63/4 m
One piece= 9 1/2 m= 19/2 m
Other piece length =X
X= 63/4-19/2
=63/4-38/4
=25/4
=6 1/4
Answer:
x= 6.5 cm
Step-by-step explanation:
When a tangent line touches the circle, it forms a right angle triangle at that point
Apply the Pythagorean relationship in this case
Given that the height is = 20.2 cm = b
The hypotenuse is = c= x+14.7 cm
General formulae is;
a² +b² =c²
x² + 20.2² =( x+ 14.7)²
x² + 408.04= x² +14.7x+14.7x+216.09
x² + 408.04= x² + 29.4 x +216.09.........................collect like terms
x²-x² + 408.04-216.09= 29.4x
191.95= 29.4x-------------------------------divide by 29.4 t0 get x
191.95/29.4 =x
x=6.5 cm
In order to convert centimeters to inches, you use the following equation:
1 inches = 2.54 cm
If you have to convert, for example, 4 inches, you proceed as follow:
4 inches* (2.54cm/1 inches) = 10.16 cm
That is, you multiply the quantity that you want to convert, by the quotient between 2.54cm and 1 inches.
Answer:
(2,√21)
Step-by-step explanation:
The circle centered at the origin has equation:
Any point that satisfies this equation lie on this circle.
When x=2, we substitute and solve for y.
Take square root to get:
Therefore (2,-√21) and (2,√21) are on this circle.
From the options, (2,√21) is the correct answer
Answer:
x=0, y=-2
Step-by-step explanation:
Let x=3y+6 be equation 1
and 2x-4y=8 be equation 2
sub equation 1 into equation2,
2(3y+6)-4y=8
6y+12-4y=8
2y=-4
y=-2
sub y=-2 into equation 1,
x=3(-2)+6
x=0
sub is an abbreviation for substitute
