If a=3/6 and b=-3/-5 find -3a+4b

select all the sets that are the three side lengths of right triangles A.8,7,15 B.4, 10, √84 C. √8, 11, √129 D. √1, 2, √3

Semenov [28]

Answer:

Step-by-step explanation:

For any set of three side length of a triangle to be a right angled triangle, the sum of the square of the two of the sides must be equal to the square of the longest side according to pythagoras theorem.

The longest side is always the hypotenuse

For option D, 2 will be the longest side. Since 2 is the hypotenuse, the sum of the square of other two values must be equivalent to the square of 2,

$= (\sqrt{1})^{2} + (\sqrt{3})^{2} \\ = 1=3\\= 4\\= 2^{2} (hypotenuse)$

This shows that √1, 2, √3 are three sides of a right triangles.

Similarly for option C, the hypotenuse is √129 being the largest.

To show the sides are that of a right triangles;

$= (\sqrt{8}) ^{2} + 11^{2} \\= 8 + 121\\= 129\\= (\sqrt{129})^{2} \\$

Since the resulting value is the square of the hyp, then √8, 11, √129 are three sides of a right triangles.

For option B; 10 is the hypotenuse being the longest sides, To show the sides are that of a right triangles;

$=4^{2}+(\sqrt{84})^{2} \\ = 16+84\\= 100\\= 10^{2}$

Since the resulting value is the square of the hyp, then 4, 10, √84 are three sides of a right triangles.

Only option A is wrong since 15² is not equal to the sum of 8² and 7².

4 0

3 years ago

Help please ASAP!!

Fittoniya [83]

Answer:

$\displaystyle 702$

Step-by-step explanation:

we are given a exponential function

$\displaystyle f(x) = {3}^{x + 1} - 22$

where x represents the number and f(x) represents the amount

we are also given that when x is 3 then f(x) is 59 likewise when x is 6 then f(x) is 2165

to figure out the average rate of change between 3 and 6 we can consider the average rate of change formula given by

$\displaystyle m = \frac{ f(x)_ {2} - f(x)_{1} }{ x_{2} - x_{1} }$

substitute what we have:

$\displaystyle m = \frac{ 2165 - 59 }{6 - 3 }$

simplify substitution:

$\displaystyle m = \frac{2106 }{3 }$

simplify division:

$\displaystyle m = 702$

hence, the average rate of change between 3 and 6 is <u>7</u><u>0</u><u>2</u>

6 0

3 years ago

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sebuah kantong berisi 20 kelereng merah dan 15 kelereng putih.toni memiliki 3 kantong yang berisi kelereng dengan jumlah yang sa

oee [108]

Answer:

60

Step-by-step explanation:

The computation of the rest of the marbles is given below:

Since there is 20 red and 15 white marbles

Also the 3 bags contains same marbles

So if he gives 45 marbles, so the remaining would be

= (20 + 15) × 3 - 45

= 35 × 3 - 45

= 105 - 45

= 60

5 0

3 years ago

....................................

kramer

Answer: 3/25

because 6

The upside down U means intersection

A intersect B intersect C is where all 3 circles overlap.

Sum up all the numbers to get 50

6/50 in half is 3/25

4 0

3 years ago

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Which are sums of perfect cubes? Check all that apply. 8x6 27 x9 1 81x3 16x6 x6 x3 27x9 x12 9x3 27x9.

Black_prince [1.1K]

The equations which are sums of perfect cubes are as follows;

$\rm 8x^6+27x^9+1$

$\rm x^6+x^3$

$\rm 27x^9+x^{12}$

<h3>Perfect cubes;</h3>

Perfect cubes are the numbers that are the triple product of the same number.

We have to determine

Which are sums of perfect cubes?

1. The given equation is $\rm 8x^6+27x^9+1$ .

The equation can be written as;

$\rm 8x^6+27x^9+1\\\\2^3(x^2)^3+3^3(x^3)^3+1^3$

All the terms in the expression are can be represented as perfect cubes.

2. The given equation is $\rm 81x^3+16x^6$ .

The equation can be written as;

$\rm 81x^3+16x^6\\\\9^2x^3+4^2(x^2)3$

In this, all the terms are not perfect cubes, some of them are squares.

3. The given equation is $\rm x^6+x^3$ .

The equation can be written as;

$\rm x^6+x^3\\\\(x^2)^3+x^3$

All the terms in the expression are perfect cubes.

4. The given equation is $\rm 27x^9+x^{12}$ .

The equation can be written as;

$\rm 27x^9+x^{12}\\\\3^3(x^3)^3+(x^4)^3$

All the terms in the expression are perfect cubes.

5. The given equation is $\rm 9x^3+27x^9$ .

The equation can be written as;

$\rm 9x^3+27x^9\\\\3^2x^3+3^3(x^3)^3$

In this, all the terms are not perfect cubes, some of them are squares too.

To know more about perfect cubes click the link given below.

brainly.com/question/4701925

5 0

2 years ago

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