Answer:
a) x² +1
b) x² +25
Step-by-step explanation:
a) (x+i)(x− i)
= x² - ( i ) x + ( i ) x - ( i)²
= x² - i² ∵ i² = -1
= x² - (-1)
= x² +1
b) (x+5 i)(x− 5i)
= x² - ( 5 i ) x + ( 5 i ) x - ( 5 i)²
= x² - 25 i² ∵ i² = -1
= x² - 25(-1)
= x² +25
we can also solve
using identity
(a + b)(a - b) = a² - b²
= (x+5 i)(x− 5i)
= x² - (5 i)²
= x² - 25 i²
= x² +25
Answer:
The smallest number is 7
Step-by-step explanation:
Using simultaneous equation;
x+y = 18.....(1)
4x-y = 17.....(2)
from equation (1)..
x+y = 18
y = 18-x...(3)
substitute y into equation (2)
4x-y = 17
4x-(18-x) = 17
4x-18+x = 17
4x+x = 17+18
5x = 35
x = 35÷5
x = 7
substitute x into equation (3)
y = 18-x
y = 18-7
y = 11
Therefore; x=7
y=11
11+7=18
(4×7)-11=17
the smallest number is 7
<span>y=3x+8
if it's parallel to this line, then the slope will also be 3.
slope = 3
</span><span>x</span>₁ = -4
<span>y</span>₁ = 6
<span>
</span><span>for this question, we use point-slope
y - y</span>₁ = m(x - x₁)
y + 4 = 3(x - 6)
y + 4 = 3x - 18
y = 3x - 14
this is your equation
Answer:
Yes
Step-by-step explanation:
Yes, a translation mapping vertex Q to vertex T and a reflection across the line containing QS will map △QRS to △TUV. No, the triangles are obtuse. Yes, a translation mapping vertex S to vertex T and a reflection across the line containing RS will map △QRS to △TUV.
Answer:
As the velocity is constant,
Distance covered in n hours = n × distance covered in 1 hr
Distance covered in 7 hrs = 7 × 110 = 770 miles
