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tresset_1 [31]
3 years ago
5

Evaluate |c2 + b2|, given a = 5, b = -3, and c = -2.

Mathematics
1 answer:
Helen [10]3 years ago
6 0

Answer:

10

Step-by-step explanation:

This is the answer because:

1) First, insert all the numbers into the expression

Expression: I -2(2) + -3(2) I

2) Next, do -2 x 2 and -3 x 2

-2 x 2 = -4

-3 x 2 = -6

3) Then, do -4 + -6

-4 + -6 = -10

4) Finally, the absolute value of -10 is 10

Therefore the answer is 10

Hope this helps!

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DO IT ASAP! Thank you very much!
frozen [14]

Answer:

a = 5

Step-by-step explanation:

According to the factor theorem, if x + 2 is a factor, then by dividing the polynomial by the binomial, we are meant not to have a remainder

In this case, the remainder would be zero

So, if we set the binomial equals zero and substitute the x-value into the polynomial, we are supposed to have 0

So we have this as;

x + 2 = 0

x = -2

-2^3 -2(-2)^2 -2(a) + 6 = 0

-8-8-2a + 6 = 0

-16 + 2a + 6 = 0

2a -10 = 0

2a = 10

a = 10/2

a = 5

3 0
3 years ago
Someone please help, this is my last resort
dolphi86 [110]

Answer:

34 5/8

Step-by-step explanation:

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5 0
3 years ago
Angles α and β are angles in standard position such that: α terminates in Quadrant I and sinα = 3/5 β terminates in Quadrant III
Arte-miy333 [17]

Answer:

-16/65

Step-by-step explanation:

Given sinα = 3/5 in quadrant 1;

Since  sinα = opp/hyp

opp = 3

hyp = 5

adj^2 = hyp^2 - opp^2

adj^2 = 5^2 = 3^2

adj^2 = 25-9

adj^2 = 16

adj = 4

Since all the trig identity are positive in Quadrant 1, hence;

cosα = adj/hyp = 4/5

Similarly, if tanβ = 5/12 in Quadrant III,

According to trig identity

tan theta = opp/adj

opp = 5

adj = 12

hyp^2 = opp^2+adj^2

hyp^2 = 5^2+12^2

hyp^2 = 25+144

hyp^2 = 169

hyp = 13

Since only tan is positive in Quadrant III, then;

sinβ = -5/13

cosβ = -12/13

Get the required expression;

sin(α - β) = sinαcosβ - cosαsinβ

Substitute the given values

sin(α - β) = 3/5(-12/13) - 4/5(-5/13)

sin(α - β)= -36/65 + 20/65

sin(α - β) = -16/65

Hence the value of sin(α - β) is -16/65

5 0
3 years ago
A baker uses 131 2 cups of flour to make key lime bread. She uses 21 4 cups of flour to make each loaf. The baker sells 2 3 of t
elena-14-01-66 [18.8K]

Answer:

She sells 4 loaves of key lime bread

Step-by-step explanation:

Extracting the key information from the question:

*** A baker uses 13 1/2 cups of flour to make key lime bread

*** She uses 2 1/4 cups to make each loaf.

*** She sells 2/3 of the loaves of bread that she makes.

Now, since she uses 2 1/4 to make each loaf, we will convert this into improper fraction.

2 1/4 = [(4×2)+1]/4 = 9/4

She uses a total of 13 1/2 cups of flour to make all loaves.

To find the number of loaves she makes, we will divide the overall quantity of flour used by the quantity used to make a loaf

13 1/2 ÷ 2 1/4

Since 13 1/2 and 2 1/4 are the same as 27/2 and 9/4 respectively (mixed to improper fractions), we will then divide 27/2 by 9/4

= 27/2 × 4/9 = 6 loaves (total bread she makes).

Again, we learnt she sells 2/3 of the total loaves she makes.

Since total = 6, then 2/3 of 6 is:

2/3 × 6 = 4 loaves .

Therefore, the baker sells 4 loaves of key lime bread.

5 0
3 years ago
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