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2 years ago

z varies jointly with x and y. If x = 2, y = 3, and z = 4, write the variation equation and find z when x = −6 and y = 2.

Mathematics

1 answer:

gregori [183]2 years ago

7 0

Step-by-step explanation:

that means

z = k×x×y

4 = k×2×3 = k×6

k = 4/6 = 2/3

so, when x = -6 and y = 2, we get

z = 2/3 × -6 × 2 = 2 × -2 × 2 = -8

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What does these expression represent? 12f+24

Otrada [13]

Answer: the expression 12f + 24 represents 12 times a quantity, added to 24.

Expplanation.

The expression 12f + 24 is an algebraic expression, especifically a first degree binomial; this is, a polynomial of two terms, whose maximum power is 1.

The algebraic expressions are used to represent word statements in mathematical language.

You can analyze each term of the expression and then tell what the total expresssion represents:

The first term 12f, where f is a variable with degree 1 (the exponent of the variable), represents the multiplication of a quantity (represented by the variable f) by 12.

24 is the constant term, it represents an constand addend.

Hence, the total expression represents the multiplication of a quantity by 12, and, after the multplication is done, added with 24.

5 0

3 years ago

There are two non congruent triangles where B=55 degrees a=15 and b=13. Find the measures of the angles of the triangle with the

liq [111]

Answer:

The side c needs to be 12.85 for the triangle to have greatest perimeter

Step-by-step explanation:

We are given;

b = 13

a = 15

Angle at b: B = 55°

Let's find side c.

Using the law of cosines,we have;

b² = a² + c² - 2ac•cos(B)

13² = 15² + c² - 2•15•c•cos(55)

169 = 225 + c² - 30c•cos(55)

c² - 30c•cos(55) + 225 - 169 = 0

c² - 30c•cos(55) + 56 = 0

c² - 30c•(0.5736) + 56 = 0

c² - 17.208c + 56 = 0

Using quadratic formula;

c = [-(-17.208) ± √((-17.208)² - (4•1•56)]/2(1)

c = [17.208 ± √(296.115 - 224)]/2

c = 8.604 ± 4.246

To have the greater perimeter, we need the larger value of c, thus we will use the positive sign and ignore the negative one ;

Thus,

c = 8.604 + 4.246 = 12.85

5 0

3 years ago

Solve this question

love history [14]

Answer:

$\frac{4x - 11}{2} \leqslant 3x - 3 < 4 \\ \\ = > \frac{4x - 11}{2} \leqslant 3x - 3 \: and \: 3x - 3 < 4 \\ \\ < = > 4x - 11 \leqslant 6x - 6 \: \: and \: \: 3x < 7 \\ \\ < = > 2x \geqslant - 5 \: \: and \: \: x < \frac{7}{3} \\ \\ < = > \frac{ - 5}{2} \leqslant x < \frac{7}{3}$

=> the greatest integer is 2

the smallest integer is -2

3 0

3 years ago

How many more equal angles does a square have than a rectangle?

leva [86]

A rectangle, is a quadrilateral with all angles at 90°.

a square is a quadrilateral with all equal sides, and right-angles all around.

now, the rectangle as well as the square, have all right-angles, the only difference is that the square has all equal-length sides, whilst a rectangle can have pairs of sides that vary in length.

5 0

3 years ago

What is 2247 divided by 7

UkoKoshka [18]

and 8

Step-by-step explanation:

and and and and and and and and and 8

6 0

3 years ago

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