Answer:
Step-by-step explanation:
#22
<h3>Given </h3>
- Equation x² -4x + 1 = k(x - 4) with equal roots
<h3>To find</h3>
<h3>Solution</h3>
<u>The equation in standard form is:</u>
- x² -4x + 1 = k(x - 4)
- x² - 4x - kx + 1 + 4 = 0
- x² - (k + 4)x + 5 = 0
<u>When the quadratic equation has equal roots its discriminant is zero</u>
- D = 0
- b² - 4ac = 0
- (k + 4)² - 4*5 = 0
- (k + 4)² = 20
- k + 4 = ± √20
- k = - 4 ± √20
- or
- k = -4 ± 2√5
Answer:
Yoshi: 80%
student: 20%
Step-by-step explanation:
Mr. Yoshi grades 60/75 papers which simplifies to
80/100, or 80%
The student teacher grades 15/75 papers which simplifies to
20/100, or 20%
Answer:
92°
Step-by-step explanation:
The sum of interior angles in a triangle is 180°
<D+<B<C = 180°
59° + 75 + < B = 180°
134° + <B = 180°
<B = 46°
The measure of arc BC is twice of angle B so 46 × 2 = 92
They are tangent to eachother as they intersect at one place and one place only.
Answer:
N=3
Step-by-step explanation:
