What is the solution for the following inequality? -5(p-19)<-10+2p

Mathematics

2 answers:

Marysya12 [62]3 years ago

3 0

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:

p>15

Interval Notation:

(15,∞)

Pavel [41]3 years ago

3 0

-5p+95 _ -10+2p
105 _ 7p
P=15

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Answer:

Step-by-step explanation:

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2 years ago

Find the product of z1 and z2, where z1 = 7(cos 40° + i sin 40°) and z2 = 6(cos 145° + i sin 145°).

Oduvanchick [21]

For two complex numbers $z_1=re^{i\theta}=r(\cos\theta+i\sin\theta)$ and $z_2=se^{i\varphi}=s(\cos\varphi+i\sin\varphi)$ , the product is

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That is, you multiply the moduli and add the arguments. You have $z_1=7e^{i40^\circ}$ and $z_2=6e^{i145^\circ}$ , so the product is

$z_1z_2=7\times6(\cos(40^\circ+145^\circ)+i\sin(40^\circ+145^\circ)=42(\cos185^\circ+i\sin185^\circ)=42e^{i185^\circ}$