Tangent always meets radius at 90° angle.
Angle ABC = 90° so Pythagoras' theorem applies.
r² + 4² = (r+2)²
r² + 16 = r² + 4r + 4
12 = 4r
r = 3
It has no solution because it is not factorable
Answer:
Option C and Option D have exactly one solution.
Step-by-step explanation:
The equation will have exactly one solution when it completely solves and we get value of x.
Checking all choices
(Choice A)
-19x + 18 = -19x + 18
-19x+19x=18-18
0=0
(infinite solutions)
(Choice B)
-19x -18 = -19x + 18
-19x+19x=18+18
0≠36
(no solution)
(Choice C)
19x + 18 = -19x + 18
19x+19x=18-18
38x=0
x=0
(One solution)
(Choice D)
19x - 18 = -19x + 18
19x+19x=18+18
38x=36
x=36/38
x=18/19
(One solution)
So, Option C and Option D have exactly one solution.
Answer: 21/40
Step-by-step explanation:
25+18=?The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.
LCD(2/5, 1/8) = 40
Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.
(25×88)+(18×55)=?
Complete the multiplication and the equation becomes
1640+540=?
The two fractions now have like denominators so you can add the numerators.
Then:
16+540=2140
This fraction cannot be reduced.
Therefore:
25+18=2140
Answer:
6.3333333
Step-by-step explanation:
6 = 4
9.5=X
cross multiply
6x=38
Divide both sides by 6
x=6.3333333