Answer:
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2 miles = 10560 ft.
3333 yards = 9999 ft.
I'm presuming this is supposed to be a ratio so:
10560/9999
or
320/303
Answer:
Answer:
a= . −2tv+16/ t^2
Step-by-step explanation:
<h3>
Answer:</h3>
sin(Y) = 4/5
<h3>
Step-by-step explanation:</h3>
The sine of one of a pair of complementary angles is equal to the cosine of the other. Given that ∠X and ∠Y are complementary, sin(Y) = cos(X) = 4/5.
_____
You can figure this from SOH CAH TOA, the mnemonic that reminds you of the definitions of the trig functions. The adjacent leg for one of the acute angles in the right triangle is the opposite leg for the other angle.
... Sin = Opposite/Hypotenuse
... Cos = Adjacent/Hypotenuse
Using the discriminant of a quadratic equation, if the graph is translated shifted up 4 units, the graph will have no x-intercepts.
<h3>What is the discriminant of a quadratic equation and how does it influence the solutions?</h3>
A quadratic equation is modeled by:
The discriminant is:
The solutions are as follows:
- If , and it has 2 x-intercepts.
- If , it has 1 x-intercept.
- If , it has no x-intercepts.
In this problem, the function is given by:
f(x) = (x + 5)² - 3.
In standard form:
f(x) = x² + 10x + 22.
We want to find coefficient k for which the function has , then:
f(x) = x² + 10x + 22 + k.
The coefficients are a = 1, b = 10, c = 22 + k, hence:
10² - 4(22 + k) < 0
100 - 88 - 4k < 0
4k > 12
k > 3.
Hence, with k = 4, the function is shifted up 4 units, and the graph will have no x-intercepts.
More can be learned about the discriminant of a quadratic equation at brainly.com/question/19776811
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