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s344n2d4d5 [400]
3 years ago
13

If a = b + c and c ___ 0, then a > b. A.< B.= C.>

Mathematics
1 answer:
tia_tia [17]3 years ago
4 0
<span>If a = b + c and c > 0, then a > b</span>
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In what direction and by how many units is the graph of f(x) = −7 sin(3x + π) − 2 vertically and horizontally shifted?
aev [14]

Answer:

Option 1. Down 2, right pi over 3.

Step-by-step explanation:

In a given function f(x) = -7 sin(3x+π)-2 we have to find the shift horizontally and vertically.

As we know  in a sine equation represented as y = a sin(bx+c) +d

Amplitude of the wave = a

Period = \frac{2\pi }{b}

Horizontal shift = \frac{\pi }{b}

Vertical shift = d

From the given sine function we can get the following values

a = 7

period = \frac{2\pi }{3}

horizontal shift = \frac{\pi }{3} in the right side since it's with positive sign.

Vertical shift = -2 down with 2 ( since it's with negative sign)

Therefore Option 1 is the correct one.

8 0
3 years ago
Find the value of the determinant.<br> 4 8 10<br> 4 0-1<br> 3 - 2 4
VLD [36.1K]

Answer:

- 240

Step-by-step explanation:

We have to find the value of the following determinant  

\left|\begin{array}{ccc}4&8&10\\4&0&-1\\3&-2&4\end{array}\right|

Now, we know that the value of a general determinant \left|\begin{array}{ccc}a&b&c\\d&e&f\\g&h&i\end{array}\right| is given by [a( ei - fh) + b(fg - di) + c(dh - eg)]

Therefore, the value of the given determinant is

= 4[0 × 4 - (-1)(-2)] + 8[3(-1) - 4 × 4] + 10[4(-2) - 3 × 0]

= - 8 - 152 - 80 = - 240 (Answer)

4 0
3 years ago
Can someone explain to me how to do this and the answer for them too because I do not understand these geometry proofs!!
Neko [114]

Answer:

Statement                        Reasoning

LM=NO                             Given

∠LMO≅∠NOM.                 Given

OM=OM                            Reflexive Property of Equality

ΔLMO=ΔNOM                  SAS Congruence Postulate

6 0
2 years ago
It costs $2.55 to make a sandwich at the local deli shop. To make a profit, the deli sells it at a price that is 140% of the cos
disa [49]
140% of $2.55 is $3.57
6 0
3 years ago
Given f (x) = 8x + 4<br> find f (6)
Goryan [66]

Answer:

52

Step-by-step explanation:

f(6)= (8 × 6) + 4

= 48 + 4

= 52

4 0
3 years ago
Read 2 more answers
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