Answer:
1. 110
2. 70
3. 70
4. 110
5. 110
6. 70
7. 70
Step-by-step explanation:
when to lines cross, opposite angles are equal so like 1 and 4 are equal
1, 4, and 5 are equal to 110
to find 2, 3, 6, and 7, subtract 110 from 180
Answer:
The base (b) has to be positive and different of 1. The logarithm is the inverse of exponential, so:
logb(a) = x ⇒ a = bˣ
So, for b = 0 ⇒ 0ˣ = a
And there is impossible, "a" only could be 0.
For b = 1 ⇒ 1ˣ = a
And the same thing would happen, the logarithming would be to be 1, and the function will be extremally restricted.
For b<0, then the expression a = bˣ will be also restricted, and will not represent all values of a.
So, 0<b<1 and b >1.
Answer:
-2
Step-by-step explanation:
The axis of symmetry divides the quadratic exactly in half. If one x-intercept is 8, then the other will be the same distance on the other side of it. 8 is 5 from 3 where the axis of symmetry is. So 3-5 = -2. -2 will be the other intercept.
Answer:
Step-by-step explanation:
Pythagorean theorem,
hypotenuse²= base² + altitude²
base² = hypotenuse² - altitude²
x² = 14² - 9²
= 196 - 81
= 115
x = √115
x = 10.72
Answer:
- Percent increase in dollar = $1,711
- Total in account = $7,511
Step-by-step explanation:
The money in the account had increased by 29.5%.
This increase in dollars is:
= Amount in account * percentage increase
= 5,800 * 29.5%
= 5,800 * 0.295
= $1,711
The total in his account was therefore:
= Amount invested + increase
= 5,800 + 1,711
= $7,511