Answer:
Step-by-step explanation:
Given equation:
On comparing the equation by ax² + bx + x = 0, We get: a = 1, b = 2 and c = 3
To Find the nature of the roots of the equation firstly we need to find the discriminant of the equation. The expression b²- 4ac is called the discriminant.
- Two Distinct real roots, if b² - 4ac > 0
- Two equal real roots, if b² - 4ac = 0
- No real roots, if b² - 4ac < 0
The discriminant is smaller than 0.
- <u>Hence, Equation has no </u><u>real</u><u> roots (no solution)</u>
Step-by-step explanation:
the total surface area is the sum of the individual areas.
we have the ground area : a 6×6 square. = 36 cm²
and we have 4 equal triangles.
the area of a triangle is baseline × height / 2.
which is for each of these triangles
6 × 12 / 2 = 3 × 12 = 36 cm²
so, the total surface area of the pyramid is
36 + 4×36 = 5×36 = 180 cm²
Answer:
It would be a diagnol line.
Answer:
The ratio of zacharies nickels to dimes to quarters is <u>3 : 2 : 1</u>.
Step-by-step explanation:
Given:
Zachary has coins of the coins 3/6 are nickels, 2/6 dimes, rest are quarters.
Now, to get the ratio of zacharies nickels, to dimes to quarters.
So, as given dimes and nickels we find the quarters to get the ratio:
.
Thus, the quarters are 1/6.
Now, getting the ratio of the coins:
Nickels = 3/6 × 6 = 3
Dimes = 2/6 × 6 = 2
Quarters = 1/6 × 6 = 1
<em>Nickels : Dimes : Quarters = 3 : 2 : 1.</em>
Therefore, the ratio of zacharies nickels to dimes to quarters is 3 : 2 : 1.
An=a1+d (n-1)
A1=200 since that's the first term that can be a multiple of 5
N=? That's what we need to find
An=1195 since that's the last multiple of 5 that we can use
D=5
Plug in
1195=200+5 (n-1)
-200 both sides
995=5 (n-1)
Distribute 5 to n-1
995=5n-5
+5 both sides
1000=5n
÷5 both sides
N=200 there are 200 multiples of 5 in between 199 and 1198
