I'm pretty sure it would be the triangle. If you sliced through it, you would basically be slicing through the same shape. The outcome is the same as it was previously. So if you sliced through a triangle, through it's vertex it would be a triangle.
Answer:
It invaluatesa to 1
Step-by-step explanation:
sin25 ∘cos65 ∘+cos25 ∘sin65 ∘=sin25
∘ sin(90 ∘−65 ∘)+cos25
∘cos(90 ∘−65 ∘ )
=sin25 ∘
sin25 ∘ +cos25 ∘cos25 ∘
=sin 2 25 ∘+cos 2 25 ∘=1
hope this helped you!
Answer:
Step-by-step explanation:
<u>Let the numbers be x and y</u>
<u>Then, substituting y:</u>
Correct option is 1)
Answer:
k = 13
smallest zero = -6
Step-by-step explanation:
f(x) is basically the function of x.
x could be any integer. f(x) is the solution of the function of x.
f(x) is defined as x² + 3x - 10
f(x) = x² + 3x - 10
Now, f(x+5) = x² + kx + 30
This statement here says that if the value of x is x+5, then the answer would be x² + kx + 30.
f(x) = x² + 3x - 10
f(x+5) = (x+5)² + 3(x+5) - 10
f(x+5) = x² + 10x + 25 + 3x + 15 - 10
f(x+5) = x² + 13x + 40 - 10
f(x+5) = x² + 13x + 30
x² + 13x + 30 = x² + kx + 30
hence, k = 13
Smallest zero = The smallest x value.
f(x+5) = x² + 13x + 30
Let's take f(x+5) = 0
x² + 13x + 30 = 0
which two numbers products give us 30 and add up to 13?
== 6 and 5
(x+6)(x+5) = 0
x+6 = 0
x = -6
x+5 = 0
x = -5
The two solutions are -6 and -5
The smallest out of these two is -6.
<h3>
Answers: B and C</h3><h3>
Acceleration and velocity</h3>
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Explanation:
Distance is a scalar. It's simply a single number. It does not include a direction. We can rule out choice A. If you wanted direction connected to distance, then it would form a displacement vector.
Acceleration is a vector because velocity is a vector, and vice versa. The two are tied together. The acceleration is the change in velocity. You can think of it as acceleration = velocity/time.
Speed is not a vector. It's a single value just like distance is. If you want to have speed tied to a direction, then you would form a velocity vector.
