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3 years ago

Please help :( if you can please also give a explanation. thanks

Mathematics

1 answer:

aliina [53]3 years ago

8 0

Answer:

x = 20

Step-by-step explanation:

since the triangle is a right angle, that means the angle is 90 degrees

equation:

30 + 3x = 90

subtract 30 on both sides

30 - 30 + 3x = 90 - 30

3x = 60

then divide each side by 3

$\frac{3x}{3} = \frac{60}{3}$

x = 20

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Let f(x)= x2 - 14 and g(x) = 6-X.<br> Find (fq)(7).

sleet_krkn [62]

Answer:

$(fg)(7) = - 35$

Step-by-step explanation:

The given functions are:

$f(x) = {x}^{2} - 14$

and

$g(x) = 6 - x$

We want to to find

$(fg)(7)$

Note that:

$(fg)(x) = f(x) \times g(x)$

We substitute the functions to obtain:

$(fg)(x) = ( {x}^{2} -1 4 ) \times (6 - x)$

We now substitute x=7, to get:

$(fg)(7) = ( {7}^{2} -1 4 ) \times (6 - 7)$

This implies that

$(fg)(7) =( 49-1 4 ) \times (6 - 7)$

$(fg)(7) = 35 \times - 1 = - 35$

8 0

3 years ago

The sum of two rational numbers will always be

telo118 [61]

It's the same as adding 2 fractions the product of 2 rational numbers is rational

6 0

3 years ago

Read 2 more answers

Is the square root of 20 a rational number or irrational number

KIM [24]

A number is rational if it can be written in form a/b where a and b are integers and b is not equal to 0
integers are like -4,-3,-2,-1,0,1,2,3,4, etc

so
√20=2√5 which is irrational because we can't write it as a fraciton with only integers

also a rational number multilied by an irratinonal number=irrtaional
we know that the square root of any prime number will be irrational and 5 is prime so 2 times √5=rational times irrational=irrational

√20 is irrational

7 0

3 years ago

Read 2 more answers

How would I graph this?

vladimir2022 [97]

The difference between the two equations is the + 3. This means the vertex of the parabola will move 3 units to the left at the point (-3, 0)

7 0

3 years ago

Mr. Harris is packaging items to give to his students. He has 48 pencils and 30 notebooks. He wants each package to contain the

guapka [62]

Answer:

The maximum number of packages that can be made with each package have same number of each item is = 6

Step-by-step explanation:

Given:

Mr. Harris has 48 pencils and 30 notebooks.

To find the number of packages he can make with each package have same number of each item.

Solution:

Number of pencils = 48

Number of notebooks = 30

In order to find the number of packages he can make with each package have same number of each item, we will find the greatest common factor of the given numbers.

<em>To find the G.C.F., we will list down the prime factors of each.</em>

$48=2\times 2\times 2\times 2\times 3$

$30=2\times 3\times 5$

We find that the G.C.F. = $2\times 3$ = 6

Thus, the maximum number of packages that can be made with each package have same number of each item is = 6

4 0

3 years ago