All categories

2 years ago

Find the value of x and y

Mathematics

1 answer:

Svetllana [295]2 years ago

4 0

Answer:

x = 1

y = -3

Step-by-step explanation:

cos(pi) = -1

so many ways :

sqrt(0.5/2) = sqrt(0.5/2 × 8/8) = sqrt(4/16)

= sqrt(0.5/2 × 18/18) = sqrt(9/36)

= sqrt(1/4) = 1/2

"nicest" approach (all integers) :

3x² = sqrt(9)

3x² = 3

x² = 3/3 = 1

x = 1

2y = sqrt(36)

2y = 6

y = 6/2 = 3

one of them has to be negative (because cos(pi) = -1), so it has to be y, because 3x² cannot be negative with real numbers.

so, y = -3

-1 × 3×1²/(2×-3) = sqrt(0.5/2) = 1/2

-1 × 3/-6 = 1/2

3/6 = 1/2

1/2 = 1/2

correct

You might be interested in

Classify the following triangle. Check all that apply

konstantin123 [22]

D and E

the triangle is right as it has a right angle as one of the 3 angles

the triangle is isosceles as it has 2 equal sides , indicated by the score on the equal sides and 2 equal base angles of 45°

8 0

3 years ago

Read 2 more answers

How do you graph X>=4y?

OLga [1]

Answer:

$x\geq 4y\\y\leq \frac{x}{4}$

6 0

3 years ago

Solve the proportion using cross products. Round to the nearest hundredth if necessary. $18.45/m gal = $3.60/7.5gal

sveta [45]

$\dfrac{\$18.45}{n \text { gallon}} = \dfrac{\$3.60}{7.5 \text { gallon}}$

Cross multiply
$n \times \ 3.60 = 7.5 \times \ 18.45$

Combine like terms
$3.60n = 138.375$

Find n
$n = 138.375\div 360$

Answer
$n = 0.38 \text { (nearest hundredth)}$

3 0

3 years ago

Read 2 more answers

A room contains three urns: u1, u2, u3. u1 contains 3 red and 2 yellow marbles. u2 contains 3 red and 7 yellow marbles. u3 conta

Archy [21]

Answer:

$\dfrac{11}{30}$

Step-by-step explanation:

Urn U1: 3 red and 2 yellow marbles, in total 5 marbles.

The probability to select red marble is $\dfrac{3}{5}=0.6.$

Urn U2: 3 red and 7 yellow marbles, in total 10 marbles.

The probability to select red marble is $\dfrac{3}{10}=0.3.$

Urn U1: 1 red and 4 yellow marbles, in total 5 marbles.

The probability to select red marble is $\dfrac{1}{5}=0.2.$

The probability to choose each urn is the same and is equal to $\frac{1}{3}.$

Thus, the probability that the marble is red is

$\dfrac{1}{3}\cdot 0.6+\dfrac{1}{3}\cdot 0.3+\dfrac{1}{3}\cdot 0.2=\dfrac{1.1}{3}=\dfrac{11}{30}.$

4 0

3 years ago

What is the slope of the line given by the equation y=-1/3x? Entee your answer as an integer or fraction in lowest terms.

Serhud [2]

-1/3

really? it's that easy dude.

whatever number is next to x, like say, 3x, that number would be the slope, so it would be 3.

hope it helped.

6 0

3 years ago

Find the value of x and y​

Find the value of x and y