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3 years ago

Factor 5z^3+34z^2+53z-12 given that z+3 is a factor

1 answer:

8 0

Do a long division
the quotient comes to

5z^2 + 19z - 4

this factors to

(5z - 1)(z + 4)

so factors are (z+3)(z+4)(5z-1)

You might be interested in

Evaluate -5-15+4+15

defon

Answer:

-1

Step-by-step explanation:

-5-15+4+15

=-20+19

=-1

7 0

3 years ago

Read 2 more answers

Order the fractions below from least to greatest. 1/2, 2/3, 1/4, 5/6

Natali [406]

1/4 , 1/2 , 2/3 , 5/6

I hope I helped you with your question

6 0

3 years ago

Read 2 more answers

Alaina colors 20% of the total shapes on her paper. She colors 10 shapes. Enter the number of shapes on Alaina's paper.

Mashutka [201]

Answer:

Step-by-step explanation:20*5=100 so 10*5=50

3 0

3 years ago

Question in picture A) 16/63 B)-16/63 C) 63/16 D) -63/16

Orlov [11]

ANSWER
$\tan(x + y) = - \frac{63}{16}$

EXPLANATION

We were given that,

$\csc(x) = \frac{5}{3}$

This implies that,

$\sin(x) = \frac{3}{5}$

We use the Pythagorean identity

$\sin^{2} (x) + \cos^{2} (x)= 1$
to get,

$\cos(x) = \sqrt{1 - ( { \frac{3}{5} })^{2}} = \frac{4}{5}$

We were also given that,

$\cos(y) = \frac{5}{13}$

This means that,

$\sin(y) = \sqrt{1 - {( \frac{5}{13}) }^{2} } = \frac{12}{13}$

This is because,

$0 < \: x \: < \frac{\pi}{2}$

$0 < \: y \: < \frac{\pi}{2}$

This angles are in the first quadrant so we pick the positive values.

$\tan(x + y) = \frac{ \sin(x + y) }{ \cos(x + y) }$

$\tan(x + y) = \frac{ \sin(x ) \cos(y) + \sin(y) \cos(x) }{ \cos(x) \cos(y) - \sin(x) \sin(y) }$

$\tan(x + y) = \frac{ \frac{3}{5} \times \frac{5}{13} + \frac{12}{13} \times \frac{4}{5} }{ \frac{4}{5} \times \frac{5}{13} - \frac{3}{5} \times \frac{12}{13} }$

$\tan(x + y) = - \frac{63}{16}$

The correct answer is D

4 0

3 years ago

P1=(-1,3) and P2=(5,-1) Find the distance from p1 to P2

LenaWriter [7]

Answer:

7.21

Step-by-step explanation:

Given that:

P1=(-1,3) and P2=(5,-1)

Distance between two points :

d = Sqrt[(x2 - x1)² + (y2 - y1)²]

x1 = - 1 ; y1 = 3

x2 = 5 ; y2 = - 1

d = Sqrt[(5 - (-1))² + ((-1) - 3)²]

d = Sqrt[(5 + 1)² + (-1 - 3)²]

d = sqrt[(6)^2 + (-4)^2]

d = sqrt(36 + 16)

d = sqrt(52)

d = 7.21

3 0

3 years ago