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Mathematics

1 answer:

Mashutka [201]3 years ago

6 0

The measure of angle L
∠M + ∠L + ∠N = 180°
20° + ∠L + 90° = 180°
∠L = 180° - 20° - 90°
∠L = 70°

The trigonometric ratio for NM
tan M = LN/NM
tan 20° = 21/NM
NM = 21/tan 20°

Find the length of NM
NM = 21/tan 20°
NM = 21/0.36397
NM = 57.697
NM = 57.7

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HELP ME I NEED SOMEHELP PLZ PLZ PLZ

otez555 [7]

Step-by-step explanation:

2/7

2×2 = 4

___

7×2 = 14

2×3 = 6

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7×3 = 21

2×4 = 8

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7×4 = 12

8 0

3 years ago

Matthew is 7 years older than twice the age of his sister. If Matthew is 13, how old is his sister?

Iteru [2.4K]

Let sister be s. Matthew, M

Matthew is 7years older than twice the age of his sister

M = 7 + 2s

13 = 7 + 2s. 7 crosses the equality to other side and becomes -7

13 - 7 = 2s

6 = 2s Divide both sides by 2

6/2 = 2s/2

3 = s

Sister is 3 years old.

8 0

3 years ago

Read 2 more answers

I really need help with this. Can anyone help me please?

I am Lyosha [343]

Answer:

$f(x)=(x-3)(x^2+4x+8)$

Step-by-step explanation:

A polynomial function is given by the form:

$f(x)=a(x-p)(x-q)...$

Where a is the leading coefficient, and p and q are the roots (more can be added if necessary).

Our zeros are 3 and (-2 + 2i).

And our leading coefficient a = 1.

Furthermore, by the Complex Root Theorem, if (-2 + 2i) is a zero, then (-2 - 2i) must also be a zero.

So, by substitution, we acquire:

$f(x)=1(x-(3))(x-(-2+2i))(x-(-2-2i))$

Simplify:

$f(x)=(x-3)(x+2-2i)(x+2+2i)$

Expand the second and third factors:

$\begin{aligned} &=(x+2-2i)x+(x+2-2i)(2)+(x+2-2i)(2i)\\&= (x^2+2x-2ix)+(2x+4-4i)+(2ix+4i-4i^2)\\&=(x^2)+(2x+2x)+(-2ix+2ix)+(-4i+4i)+(4-4i^2)\\&=x^2+4x+(4+4)\\&=x^2+4x+8 \end{aligned}$