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viktelen [127]
3 years ago
9

Is it a negative or a positive answer

Mathematics
2 answers:
Dovator [93]3 years ago
8 0
I think it is positive
Naya [18.7K]3 years ago
7 0
Positive because it equals 7y
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Evan’s family drove to a theme park for vacation. Assume they drove the same speed throughout the trip. The first day, they drov
kykrilka [37]
I say it’s c.150 because 6 hours is 300 then 5 hours is 250 so you’re subtracting 50 for 1 less hour, so 4 hours would be 200 that makes 3 hours 150

got it? hope that’s not too confusing
7 0
3 years ago
If x=y-7 what is the value of 3x-3 in terms of y
beks73 [17]
\bf \boxed{x}=y-7
\\\\\\
3x-3\implies 3\left( \boxed{y-7} \right)-3\implies 3y-21-3\implies 3y-24
7 0
3 years ago
PLEASE HELP ME If 0 < z ≤ 90 and sin(9z − 1) = cos(6z + 1), what is the value of z? z = 3 z = 4 z = 5 z = 6
Burka [1]

Answer:

  z = 6

Step-by-step explanation:

We know that ...

  sin(x) = cos(90 -x)

Substituting (9z-1) for x, this is ...

  sin(9z -1) = cos(90 -(9z -1))

But we also are given ...

  sin(9z -1) = cos(6z +1)

Equating the arguments of the cosine function, we have ...

  90 -(9z -1) = 6z +1

  90 = 15z . . . . . . . . . add (9z-1) to both sides

  6 = z . . . . . . . . . . . . divide by 15

_____

<em>Comment on the graph</em>

The attached graph shows 5 solutions in the domain of interest. These come from the fact that the relation we used is actually ...

  sin(x) = cos(90 +360k -x)  . . . . .  for any integer k

Then the above equation becomes ...

  90 +360k = 15z

  6 +24k = z . . . . . . . . . for any integer k

The sine and cosine functions also enjoy the relation ...

  sin(x) = cos(x -90)

  sin(9z -1) = cos(9z -1 -90) = cos(6z +1)

  3z = 92 . . . . . equating arguments of cos( ) and adding 91-6z

  z = 30 2/3

6 0
3 years ago
Which expression is equivalent?
gregori [183]
The correct option is: Option (C) log_3c - log_{3}9

Explanation:
It is the property of log that if it contains the fraction, it can be expressed as the difference of the log of numerator and the log of denominator.

The general form is:
log( \frac{x}{y} ) = log(x) - log(y)

Hence the correct answer is log_3c - log_{3}9.


8 0
2 years ago
The length of a rectangle is the width minus 8 units. The area of the rectangle is 9 units. What is the length, in units, of the
frez [133]

Length of rectangle is 1 unit  

<u>Solution: </u>

Given that  

Length of a rectangle is width minus 8 units.

Area of rectangle = 9 square units

Need to calculate the length of rectangle.

Let us assume width of rectangle = x

As Length is width minus 8,  

Length of the rectangle = x – 8

\text{ Area of rectangle }=\text{ width of rectangle }\times \text{ Length of the rectangle }

\text{ Area of rectangle }= x\times (x-8)

\text { Area of rectangle }=\left(x^{2}-8 x\right)

As given that area of rectangle = 9 square units

\begin{array}{l}{\Rightarrow x^{2}-8 x=9} \\\\ {\Rightarrow x^{2}-8 x-9=0}\end{array}

On solving above quadratic equation for x, we get

\begin{array}{l}{\Rightarrow x^{2}-9 x+x-9=0} \\\\ {\Rightarrow x(x-9)+1(x-9)=0} \\\\ {\Rightarrow (x-9)(x+1)=0}\end{array}

When x-9 =9, x = 9

When x + 1 = 0, x = -1

As width cannot be negative, so considering x = 9  

\text{ Length of rectangle }= x-8 = 9-8 = 1 \text{ unit }

Hence, Length of rectangle is 1 unit.

5 0
3 years ago
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