Answer:
Step-by-step explanation:
with what
Answer:
121
.
The axis of symmetry is the line x= 6
The parabola opens downwards.
The value of h when the equation is in vertex form is positive.
Step-by-step explanation:
In the pictures.
Hope it helps! :)
The sample which is likely to produce the most valid result is Richard's sample because there was no statistical bias. Statistical bias is the systematic favoritism of certain individuals in the study. Just like what Adriana, Henry and Malik did in conducting their surveys, they choose people who are point of interest and also who are near them. In the way Richard conducted his survey, he used a random sampling technique, this is a method of selecting a sample from a population in such a way that every possible individual can be chosen and he doesn't know who these people are.
Answer:
Step-by-step explanation:
To prove: The sum of a rational number and an irrational number is an irrational number.
Proof: Assume that a + b = x and that x is rational.
Then b = x – a = x + (–a).
Now, x + (–a) is rational because addition of two rational numbers is rational (Additivity property).
However, it was stated that b is an irrational number. This is a contradiction.
Therefore, the assumption that x is rational in the equation a + b = x must be incorrect, and x should be an irrational number.
Hence, the sum of a rational number and an irrational number is irrational.
Hey there!
In order for two figures to be congruent, each named angle must correspond and be congruent to ONE other angle. If you have ZYV and XWV, Z must be congruent to X as they both show up first in the ordering.
This means...
∠Z≅∠X
∠Y≅∠W
∠V≅∠V
Our first answer option has to do with parallelism, which does not influence if certain angles are congruent or not.
For the second answer option, ∠Z is congruent to ∠X, not ∠Y, so it is incorrect.
For the third answer option, it shows that ∠Z would correspond to ∠V, but it does not, so it is also incorrect.
For D, ∠Z IS congruent to ∠X, and ∠W IS congruent to ∠Y
Therefore, our answer is D) ∠Z≅∠X and ∠W ≅ ∠Y.
I hope this helps!
