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2 years ago

If sec a = 5/4 and a is an angle in quadrant iv find the value of cos a

1 answer:

8 0

We know that
sec a = 5/4
sec(a)=1/cos(a)
then
cos (a)=1/sec(a)
cos (a)=1/(5/4)=4/5---> is positive because the function cos is positive in IV quadrant

the answer is cos(a)=4/5

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If x square plus 8x plus q =(x plus k) Square find the value of k and q

PIT_PIT [208]

Answer:

The value of k is 4 and q is 16.

Step-by-step explanation:

First, you have to expand the brackets by applying :

${(a + b)}^{2} = {a}^{2} + 2ab + {b}^{2}$

${x}^{2} + 8x + q = {(x + k)}^{2}$

${x}^{2} + 8x + q = {x}^{2} + 2kx + {k}^{2}$

Next, you have to do it by comparison :

${x}^{2} + 8x + q = {x}^{2} + 2kx + {k}^{2}$

$by \: comparison$

$8x = 2kx$

$8 = 2k$

$k = 4$

$q = {k}^{2}$

$q = {4}^{2}$

$q = 16$

7 0

2 years ago

Help with number 4 please?

LekaFEV [45]

10 because 7 x 3 = 21 and 7 + 3 = 10 so your answer is 10

5 0

3 years ago

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Jaz was 43 inches tall. Eighteen months later she was 52 inches tall. Find the constant rate of change of jaz's height

notka56 [123]

Answer:

.5 inches a month

Step-by-step explanation:

52 - 43 = 9 inches

9/18 = .5

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2 years ago

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A rectangular mat has an area of 7/12 in2. The length of the mat is 5/6 in. What is the width of the mat

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2 years ago

What is 8c x 2 x 2 - c + 3 + 2c x 2 x 2 - c + 2 WILL GIVE BRANLIEST IF CORRECT

Katena32 [7]

Answer:

38c + 5

Step-by-step explanation:

8c x 2 x 2 - c + 3 + 2c x 2 x 2 - c + 2

38c +5

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2 years ago