Answer:
= 6 over 23 (or = 6/23
Step-by-step explanation:
Convert mixed numbers to improper fractions 3 5/6 = 23/6
Convert element to fraction
= 1 divide 23/6
Apply the fraction rule: a/b divide c/d = a/b x d/c
= 1 over 1 (or 1/1) divide 23/6
Apply rule a/a = 1
= 1 over 1 (or 1/1) x 6/23
Multiply 1x 6/23 = 6/23
= 1 x 6/23
ANSWER 6/23
Hope this helps!
Answer:
25
Step-by-step explanation:
remember that the pythagorean theorem is a²+b²=c²
so this equation would be:
7²+24²=c²
solve the exponents
49 + 576 = c²
combine like terms
625 = c²
take the radical of each number
√625 = √c²
25 = c
have a lovely day <3
Answer:
42, 138, and 138 degrees DON'T FORGET THE DEGREES SIGNS!!!!!
Step-by-step explanation:
Using vertical angles theorem, we can get another 42, 180-42, and 180-42.
So we have 42, 138, and 138
Answer:
y = (1/4)x² - (5/4)x + 1
Step-by-step explanation:
The x-intercepts of the quadratic equation are simply it's roots.
Thus, we have;
(x + 1) = 0 and (x - 4) = 0
Now, formula for quadratic equation is;
y = ax² + bx + c
Where c is the y intercept.
At y-intercept: (0,1), we have;
At (-1,0), thus;
0 = a(1²) + b(1) + 1
a + b = -1 - - - (1)
At (4,0), thus;
0 = a(4²) + b(4) + 1
16a + 4b = -1
Divide both sides by 4 to get;
4a + b = -1/4 - - - (2)
From eq 1, b = -1 - a
Thus;
4a + (-1 - a) = -1/4
4a - 1 - a = -1/4
3a - 1 = -1/4
3a = 1 - 1/4
3a = 3/4
a = 1/4
b = -1 - 1/4
b = -5/4
Thus;
y = (1/4)x² - (5/4)x + 1
The answer is A. 5/12
Hope it helped!
