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elena-s [515]
2 years ago
8

What is the greatest common factor (GCF) of the numerator and denominator

Mathematics
2 answers:
lesya [120]2 years ago
6 0

Answer: x+5

Step-by-step explanation:

A

P

E

X

ad-work [718]2 years ago
4 0

Answer:

C

Step-by-step explanation:

x²+2x-15 = x²-3x+5x-15 = x(x-3)+5(x-3)=(x+5)(x-3)

or delta:

∆=2²-4*1*(-15)=4+60=64

√∆=8

x1 = (-2+8)/2 = 3

x2=(-2-8)/2=-5

and 4x+20 = 4(x+5)

The same is (x+5), so it is GCF. answer C

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In the diagram, which letter represents the transition from gas to liquid?
Tanya [424]

Answer:

I answered it as C, but the correct answer is B :)

5 0
3 years ago
Can someone please teach me how to do this? You can please do like 2 questions and please explain exactly how you got the answer
spayn [35]

All of these questions require one thing: trigonometric functions.

There are 3 main trigonometric functions, which can only be used on right triangles: sine, cosine, and tangent.

Sine = opposite / hypotenuse

Cosine = adjacent / hypotenuse

Tangent = opposite / adjacent

When trying to figure out what function to use, we always start by looking from the angle. Take problem a, for example. Looking from angle E, of which the value is not given, we have the side opposite and the side adjacent. Therefore, we should use the tangent function.

---The hypotenuse is always the longest side of the triangle. It is never considered the opposite or adjacent side.

Let's set up our function with the given information from problem a.

tan(x) = 9.7 / 5.2

---The tangent of an unknown angle is equal to the quotient of the opposite side and the adjacent side.

Now, solving for the value of x will require a calculator. We'll need to use what's called an inverse trigonometric function. Most calculators have these directly above the regular trigonometric functions, and the inverse functions are accessed using a "second" key.

---Ensure that your calculator is in degrees, not radians!

x = tan^-1(9.7 / 5.2)

x = 61.805 = 62 degrees

Next, let's take a look at problem b. This time, we're solving for a side length instead of an angle. But, we're still going to start by looking from our angle.


Looking from the 38 degree angle, we are given the adjacent side and an unknown hypotenuse. Therefore, we should use the cosine function.

cosine(38) = 53.1 / r

---The cosine of a 38 degree angle is equal to the quotient of 53.1 and an unknown hypotenuse, r.

Use your algebra skills to isolate the variable r.

r * cosine(38) = 53.1

r = 53.1 / cosine(38)

---From here, all you need to do is plug this into your calculator. Since we are solving for a side length (and given an angle), we are just using the regular trigonometric function buttons on the calculator.

r = 67.385 = 67.4 units

Hope this helps!

4 0
2 years ago
A zealous geologist is sponsoring a contest in which entrants have to guess the age of a shiny rock. He offers these clues: the
nataly862011 [7]

Answer:

The total number of possibilities are 60.

Step-by-step explanation:

Given:

There are 6 digits and 3,7,9 are odd ones.

To Find:

How many possibilities are there for the rock's age

Solution:

Here condition is that number should start with odd digit

so there 3 number only as odd(3,7,9)

So it leaves 3 repeating  numbers i.e.2

So permutation of 5 numbers with 3 odd numbers

So possible arrangement will be

nPr

n=5 ,r=3

So 5P3=5!/3!

And finally for all possibilities as

=3*(5!/3!)

=3*(20)

=60

3 0
3 years ago
Steven wants to buy a $565 bicycle. Steven has no money saved. But will be able to deposit $30 into a savings account when he re
Nikitich [7]
565+65=630 so he needs that much to get the bike AND pay his sister back. 630 divided by $30 is 21. So, in 21 weeks, Steven Can pay back his sister and get the bike
5 0
3 years ago
Complete the fact family for the following numbers <br> 5,9,4
xxMikexx [17]

Answer:

it's on goggle

Step-by-step explanation:

goggle yeah yeah yeah

6 0
3 years ago
Read 2 more answers
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