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finlep [7]
3 years ago
13

Given that f(x) = 2x − 5, find the value of x that makes f(x) = 15. (5 points)

Mathematics
1 answer:
Katena32 [7]3 years ago
3 0

Answer:

10

Step-by-step explanation:2(10) -5

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Lim x tends to π÷2 , then what is the value of (tanx + cotx) ÷ ( tanx - cotx)​
KiRa [710]

(tan(<em>x</em>) + cot(<em>x</em>)) / (tan(<em>x</em>) - cot(<em>x</em>)) = (tan²(<em>x</em>) + 1) / (tan²(<em>x</em>) - 1)

… = (sin²(<em>x</em>) + cos²(<em>x</em>)) / (sin²(<em>x</em>) - cos²(<em>x</em>))

… = -1/cos(2<em>x</em>)

Then as <em>x</em> approaches <em>π</em>/2, the limit is -1/cos(2•<em>π</em>/2) = -sec(<em>π</em>) = 1.

8 0
3 years ago
It takes 13 more copies of the angle for the last angle to overlap the first horizontal ray. What is the measure of each angle?
nalin [4]
Missing part in the heading of the question:
For this question, use the diagram shown. The diagram shows the result of constructing a copy of an angle adjacent to one of the rays of the original angles. Assume the pattern continues.

Answer:
measure of each angle = 24°

Explanation:
The diagram shows two angles, if we add 13 more copies, the number of angles would be 15 angles

Now, when the 15 angles are drawn, the last angle would overlap with the first horizontal ray.
This means that the angles form one complete rotation around the point.

This means that the sum of the 15 angles together is 360°.

We know the all 15 angles are equal. Assume that the measure of each is x.
15 x = 360
x = 360 / 15
x = 24°

Hope this helps :)

6 0
3 years ago
How to write a decimal number in two hundred ten thousand, fifty and nineteen hundredth
Vladimir [108]
Two hundred ten thousand and fifty is written as 210,050

Nineteen-hundredths is written as 19/100 or 0.19

So, the whole number is written as 210050.19 


3 0
4 years ago
Read 2 more answers
An airplane travel at a constant speed of 575 miles per hour.write and equation that can be used to determine the number of mile
Oxana [17]

Answer:

m = 575h

Step-by-step explanation:

Given

Rate = 575 miles/hour

Required

Determine the equation for the model

Represent the number of hours with h and the miles with m.

Using distance formula:

Distance = Speed * Time

In this case, it is:

Miles = Rate * Hour

So, we have:

m = 575 * h

m = 575h

3 0
3 years ago
Can someone tell me how to do this? with steps?
MrRa [10]

Answer:

Step-by-step explanation:

In Δ AFB,

∠AFB + ∠ABF + ∠A = 180   {Angle sum property of triangle}

90 + 48 + ∠1 = 180

       138 + ∠1 = 180

                 ∠1 = 180 - 138

∠1 = 42°

FC // ED and FD is transversal

So, ∠CFD ≅∠EDF   {Alternate interior angles are congruent}

     ∠2 = 39°

In ΔFCD,

∠2 + ∠3 + ∠FCD = 180

39 + ∠3 + 90 = 180

         129 +∠3 = 180

                   ∠3 = 180- 129

∠3 = 51°    

3 0
3 years ago
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