Step-by-step explanation:
4x2+8x−3=0
For this equation: a=4, b=8, c=-3
4x2+8x+−3=0
Step 1: Use quadratic formula with a=4, b=8, c=-3.
x=
−b±√b2−4ac
2a
x= −(8)±√(8)2−4(4)(−3)
2(4)
x= −8±√112
8 x=−1+
1 2 √7 or x=−1+
−1 2 √7
Answer: x=−1+
1 2√7 or x=−1+
−1 2 √7
Answer:
1. 12/13 and 5/13
2. 5/13 and 12/13
3. The sin of <A and cos of <B are congruent.
Since "Sine" is Opposite/Hypotenuse and Cosine is adjacent hypotenuse...
The opposite of angle A is 12, and the hypotenuse is 12, therefore making 12/13.
The adjacent of angle B is 12, (The adjacent side is the side next to the opposite that is not the hypotenuse) and the hypotenuse is 13, therefore making 12/13. (The hypotenuse never changes no matter how you look at the triangle.)
Sin <A = 12/13
Cos <B= 12/13
Answer:
Liam can paint 18 bird houses.
Step-by-step explanation:
9/10 divided by 1/20 = 18
Answer:
d is the answer
Step-by-step explanation:
perimeter of rect = 2(7+3) = 20
perimeter of square = 4 a =20
a = 5
Answer:
see explanation
Step-by-step explanation:
the equation of parabola in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier.
here (h, k ) = (3, 1 ) , then
y = a(x - 3)² + 1
to find a substitute any other point on the graph into the equation.
using (0, 7 )
7 = a(0 - 3)² + 1 ( subtract 1 from both sides )
6 = a(- 3)² = 9a ( divide both sides by 9 )
=
= a
y =
(x - 3)² + 1 ← in vertex form
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the equation of a parabola in factored form is
y = a(x - a)(x - b)
where a, b are the zeros and a is a multiplier
here zeros are - 1 and 3 , the factors are
(x - (- 1) ) and (x - 3), that is (x + 1) and (x - 3)
y = a(x + 1)(x - 3)
to find a substitute any other point that lies on the graph into the equation.
using (0, - 3 )
- 3 = a(0 + 1)(0 - 3) = a(1)(- 3) = - 3a ( divide both sides by - 3 )
1 = a
y = (x + 1)(x - 3) ← in factored form