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mash [69]
4 years ago
8

Find the value of x.

Mathematics
1 answer:
Sati [7]4 years ago
4 0
Use sin to calculate. Sin30=5/x. Sin=opposite/hypotenuse. Cross multiply. Sin30x=5. x=5/sin30. x=10.
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If g(x)=4x^2-16 we’re shifted 9 united to the right and 1 down, what would the new equation be?
Inessa05 [86]

Shown in the graph

<h2>Explanation:</h2>

Using graph tools we can graph the function:

g(x)=4x^2-16

which is the red graph shown below. As you can see, this is a parabola. The rule for vertical and horizontal shifts is as follows:

Let \ c \ be \ a \ positive \ real \ number. \ \mathbf{Vertical \ and \ horizontal \ shifts} \\ in \ the \ graph \ of \ y=f(x) \ are \ represented \ as \ follows:

\bullet \ Vertical \ shift \ c \ units \ \mathbf{upward}: \\ h(x)=f(x)+c \\ \\ \bullet \ Vertical \ shift \ c \ units \ \mathbf{downward}: \\ h(x)=f(x)-c \\ \\ \bullet \ Horizontal \ shift \ c \ units \ to \ the \ right \ \mathbf{right}: \\ h(x)=f(x-c) \\ \\ \bullet \ Horizontal \ shift \ c \ units \ to \ the \ left \ \mathbf{left}: \\ h(x)=f(x+c)

Therefore, If we shift the red graph 9 units to the right and 1 down, our new function (let's call it h(x)) will be:

h(x)=4\left(x-9\right)^{2}-16-1 \\ \\ Simplifying: \\ \\ h(x)=4\left(x-9\right)^{2}-17

This graph is the blue graph below. Let's verify the transformation taking the vertex of the red graph:

(0,-16)

By translating the 9 units to the right and 1 down the vertex is also translated by the same rule, so:

New \ vertex: \\ \\ (0+9,-16-1) \\ \\ (9,-17)

<h2>Learn more:</h2>

Cubic function: brainly.com/question/13773618#

#LearnWithBrainly

5 0
3 years ago
Solve 2(x + 1) = 2x + 2. (1 point)<br> ♡<br> 0<br> O<br> All real numbers<br> No solution<br> 1
sattari [20]

Answer:

B. All real numbers

Step-by-step explanation:

2(x + 1) = 2x + 2

Distribute the 2 inside the parenthesis.

2x + 2 = 2x + 2

Since the two expressions are equal and will stay equal with any value, the answer to this question is All real numbers.

Example:

2(x + 1) = 2x + 2

2(5 + 1) = 2(5) + 2

2(6) = 10 + 2

12 = 12

2(x + 1) = 2x + 2

2(150 + 1) = 2(150) + 2

2(151) = 300 + 2

302 = 302

The expression is equal for any value put in x.

6 0
3 years ago
Question 5 of 10
Lady_Fox [76]

Answer:

          ______

x  =  − 0.  142857

Step-by-step explanation:

7 0
3 years ago
jerry deposits 80.00 into new savings account the account earns 3.5% simple interest per year no money is added or removed from
deff fn [24]

Answer:

$84.14

Step-by-step explanation:

Begin by multiplying 1.035 by 4.

Get 4.14.

Add this to the original amount deposited, $80.

The answer is $84.14

8 0
3 years ago
What is larger0.04 or 0.2
Korolek [52]
I hope this helps you



0,2 close 1


0,2>0,04
5 0
3 years ago
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