Answer:
y = 2
Step-by-step explanation:
x + 5y - 10 = 0
X = 4y - 8
since x is given as = 4y - 8 we can use this in first equation
replace x with 4y - 8
x + 5y - 10 = 0 ➡ 4y - 8 + 5y - 10 = 0 add like terms
9y - 18 = 0 add 18 to both sides of the equation
9y = 18 divide both sides by 9
y = 2
2 1/2 yards = 7.5 ft
1 foot and 6 inches = 1.5 ft
7.5-1.5 = 6
6 ft = 72 inches
Anais used 72 inches of ribbon.
Step-by-step explanation:
4x+5y=4 (equation 1)
2x-y=9 (equation2)
solving equation 1 and 2 and multiplying equation 2 by 2
4x+5y=4
4x-2y=18
- + -
________
7y= -14
y= -2
putting the value of y in equation 2
2x-y=9
2x+2=9
2x=7
x=3.5
Answer: 
Step-by-step explanation:
For convenience, I labeled some points as shown in the attached picture.
Also, I assume
and
are tangents to the circle.
(reflexive property)
(tangents drawn from a common external point are congruent)
(right angles are congruent)
Therefore, we know
by HL.
Thus, by CPCTC,

This means the measure of minor arc AC is
, and thus 
Let

be the roots of the equation

. By the Viet theorem you have that

.
For the equation

you'll have that

That is

.
Answer: