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dalvyx [7]
3 years ago
15

Help me. I don't understand. Please help me find X and IK

Mathematics
1 answer:
sertanlavr [38]3 years ago
6 0

Answer:

x=4\\\\y=6\\\\IK=47

Step-by-step explanation:

Two Tangent Theorem: Tangents which meet at same point are equal in length.

Here tangents at J and H meet at I.

Hence\ HI=IJ\\\\y^2-10=4y+2\\\\y^2-4y-12=0\\\\y^2-6y+2y-12=0\\\\y(y-6)+2(y-6)=0\\\\(y-6)(y+2)\\\\y\ can\ not\ be\ negative\ as\ in\ that\ case\ IJ\ will\ be\ negative.\\\\Hence\ y=6\\\\IJ=4y+2=4\times 6+2=26\\\\\\\\Tangents\ at\ J\ and\ L\ meet\ at\ K.\ Use\ two\ tangent\ theorem.\\\\JK=KL\\\\5x+1=6x-3\\\\6x-5x=1+3\\\\x=4\\\\JK=5x+1=5\times 4+1=21\\\\\\IK=IJ+JK=26+21\\\\IK=47

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#6: Tell whether the function below is 1 point<br> linear or exponential.<br> *<br> f(x) = -1/4x + 5
Pachacha [2.7K]

Answer:

Linear function

Step-by-step explanation:

Given

f(x) = -\frac{1}{4}x + 5

Required

Linear or Exponential

A linear equation has the form: f(x) = mx + c;

An exponential has the form: f(x) = ab^x

By comparing both functions to: f(x) = -\frac{1}{4}x + 5

The linear function is similar to f(x) = -\frac{1}{4}x + 5

<em>Hence, the given function is a linear function.</em>

8 0
2 years ago
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
What is x<br> 7x-21=4x-36
soldier1979 [14.2K]

Answer:

x = -5

Step-by-step explanation:

5 0
3 years ago
Help with my math plz! Giving brainlist :D
cupoosta [38]
Number six is 70 cus your adding
5 0
2 years ago
How do I solve this can somebody show me how to solve this
natali 33 [55]
The answer is 0.6 because you divide 21 by 35 and get 0.6
6 0
2 years ago
Read 2 more answers
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