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2 years ago

- A total of 32 students sign up for a kayaking trip. Four more seniors (s) sign up than juniors (). Which system of linear

Mathematics

1 answer:

cricket20 [7]2 years ago

5 0

Answer:

s + j = 32

s = 4 + j

Step-by-step explanation:

The first equation that must form our system is the one that show the total of students. If both, seniors and juniors, in total are 32, we must have:

s + j = 32

The second equation must show the relation between senior and juniors students. We know that there are four MORE seniors than juniors, or in other words, the total amount of seniors equal to the amount of juniors plus 4 more students:

s = 4 + j

So, your system must be formed by

s + j = 32 (a)

s = 4 + j (b)

If you want the resolution, just replace (a) in (b). You should find s=18 and j=14.

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Please help, I will mark!!

Alik [6]

Answer:

$d=28.28$

Step-by-step explanation:

To calculate the lenght of the diagonal d across the square, we can assume that the square it is compound of two right triangles. So, we can resolve this exercise using The Pythagorean Theorem.

The Pythagorean theorem states that in every right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the respective lengths of the legs. It is the best-known proposition among those that have their own name in mathematics.

If in a right triangle there are legs of length a and b, and the measure of the hypotenuse is c, then the following relation is fulfilled:

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To obtain the value of the hypotenuse

$c= \sqrt{a^{2} +b^{2} }$

To find the value of the lenght of the diagonal d across the square, we have:

$d=\sqrt{a^{2} +b^{2} }$ Where a = b = 20

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$d=\sqrt{(20)^{2} +(20)^{2} }\\d=\sqrt{400+400} =\sqrt{800} \\d=28.284$

Round the answer to 2 decimal places

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2 years ago

I have no idea what im doing

omeli [17]

Answer:

x = - 6

Step-by-step explanation:

A hole is an input value that makes both numerator and denominator equal to zero.

Let's factorize the numerator and denominator:

3x² - 108 = 3(x² - 36) = 3(x + 6)(x - 6)
x² + 2x - 24 = x² + 6x - 4x - 24 = x(x + 6) - 4(x + 6) = (x - 4)(x + 6)

We have same factor of x + 6:

x + 6 = 0
x = - 6 is a hole

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Given the expression

$\frac{3}{5} (3y+15)$

The expression that is equivalent to the given expression is given by:

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