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Gnom [1K]
3 years ago
8

What are the roots of the quadratic function in the graph? -15 -5,3 -5,-3 -3,5

Mathematics
2 answers:
KengaRu [80]3 years ago
6 0
The roots are -5 and 3
nasty-shy [4]3 years ago
4 0

Answer:

-5 and 3

Step-by-step explanation:

The roots of a quadratic function are also called the x intercepts.

The x intercepts are found by looking where where the quadratic equation crosses the x, or horizontal axis.

In this case, the quadratic equation crosses the x axis at (-5,0) and (3,0).

Therefore, our roots are -5 and 3

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Help help help pls :)
kykrilka [37]

Answer:

opposite\approx 70.02

Step-by-step explanation:

The triangle in the given problem is a right triangle, as the tower forms a right angle with the ground. This means that one can use the right angle trigonometric ratios to solve this problem. The right angle trigonometric ratios are as follows;

sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}

Please note that the names (opposite) and (adjacent) are subjective and change depending on the angle one uses in the ratio. However the name (hypotenuse) refers to the side opposite the right angle, and thus it doesn't change depending on the reference angle.

In this problem, one is given an angle with the measure of (35) degrees, and the length of the side adjacent to this angle. One is asked to find the length of the side opposite the (35) degree angle. To achieve this, one can use the tangent (tan) ratio.

tan(\theta)=\frac{opposite}{adjacent}

Substitute,

tan(35)=\frac{opposite}{100}

Inverse operations,

tan(35)=\frac{opposite}{100}

100(tan(35))=opposite

Simplify,

100(tan(35))=opposite

70.02\approx opposite

4 0
2 years ago
15. Explain why we need to specify 0 < b < 1 and b > 1 as valid values for the base b in the expression logb(xx).
damaskus [11]

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.

3 0
3 years ago
Help please thank you
Vitek1552 [10]
The answer is 5/2 aka c
3 0
2 years ago
Read 2 more answers
Which choice is the answer
Montano1993 [528]
The answer would be D.

a1 is 0.5 and r is -0.2.
5 0
2 years ago
A ladder leans against the side of a house. The angle of elevation of the ladder is 70 when the bottom of the ladder is 14ft fro
s2008m [1.1K]

Check the picture below.

make sure your calculator is in Degree mode.

8 0
3 years ago
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