Given:
Consider the given function is
.
To find:
The remaining zero and y-coordinate of y-intercept.
Solution:
We have,

For zeros,
.




So, three zeros of given function are -1, 3 and -2.
Putting x=0 in the given function, we get




So, the y-coordinate of y-intercept of the given function is 6. It means the y-intercept is at point (0,6).
Therefore, the zeros of the function
are –1, 3, and -2 and the y-intercept of the function is located at (0,6).
Answer:
1) By SAS theorem, ΔADE≅ΔCDF
2) By SSS theorem, ΔBDE≅ΔBDF
Step-by-step explanation:
Consider isosceles triangle ABC (see diagram).
1. In triangles ADE and CDF:
- AD≅DC (since BD is median, then it divides side AC in two congruent parts);
- AE≅CF (given);
- ∠A≅∠C (triangle ABC is isosceles, then angles adjacent to the base are congruent).
By SAS theorem, ΔADE≅ΔCDF.
2. In triangles BDE and BDF:
- side BD is common;
- DE≅DF (ΔADE≅ΔCDF, then congruent triangles have congruent corresponding sides);
- BE≅FB (triangle ABC is isosceles, AB≅BC, AE≅CF, then BE=AB-AE, FB=BC-CF).
Be SSS theorem, ΔBDE≅ΔBDF.
Answer:
See below in bold.
Step-by-step explanation:
Mean = 150 cm = 150 * 0.033 feet
= 4.95 feet.
The standard deviation = 10 cm = 10 * 0.033
= 0.33 feet.
Answer:
See below in bold.
Step-by-step explanation:
1. x/8 = 15/24
Cross multiplying:
24x = 8*15
x = (8*15)/24
x = 5.
2. 5/6 = 35/x
5x = 6*35
5x = 210
x = 210/5
x = 42.
3.<em> </em>18/42
Divide top and bottom by 6:
18 / 6 / 42/6
= 3/7.
4. 15/75
Divide top and bottom by 15:
= 1/5.
Answer:
-6
Step-by-step explanation:
All you have to do is plug in the -3 in the expression so the new expression would be -3(2) so the answer is -6