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3 years ago

The solution of an equation with two variables,x and y , is

1 answer:

const2013 [10]3 years ago

7 0

Answer:The solution of an equation with two variables, x and y, is an ordered pair (x, y) that produces a true statement when the values x and y are substituted into the equation.

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Which choices are equivalent to the fraction below check all the apply ""24" over 30

user100 [1]

Answer:

c) The reduced form of the given fraction $\frac{24}{30} = \frac{4}{5}$

Step-by-step explanation:

Here, the given expression is "24 over 30".

The given expression is is equivalent to $\frac{24}{30}$

Now by Prime Factorization:

24 = 2 x 2 x 2 x 3

30 = 2 x 3 x 5

⇒ The common factors in 24 and 30 is 2 x 3 = 6

So, $\frac{24}{30} = \frac{2 \times 2 \times 2 \times 2 \times 3}{2 \times 3 \times 5} = \frac{6 \times 4}{6 \times 5} = \frac{4}{5}$

Hence the reduced form of the given fraction $\frac{24}{30} = \frac{4}{5}$

6 0

4 years ago

Simplify: (sin θ − cos θ)^2 − (sin θ + cos θ)^2 A) −4sin(θ)cos(θ) B) 2 C) sin^2 θ D) cos^2 θ

N76 [4]

Answer:

-4sinθcosθ

Step-by-step explanation:

Note:

1. (a + b)^2 = a^2 + 2ab + b^2

2. (a - b)^2 = a^2 - 2ab + b^2

3. sin^2θ + cos^2θ = 1

(sinθ -cosθ)^2 - (sinθ + cosθ)^2

= sin^2θ - 2sinθcosθ + cos^2θ - (sin^2θ + 2sinθcosθ + cos^2θ)

= sin^2θ + cos^2θ - 2sinθcosθ - (sin^2θ + cos^2θ + 2sinθcosθ)

= 1 - 2sinθcosθ - (1 + 2sinθcosθ)

= 1- 2sinθcosθ -1 - 2sinθcosθ

= - 2sinθcosθ - 2sinθcosθ

= -4sinθcosθ

3 0

3 years ago

A pole that is 3.5m tall casts a shadow that is 1.7m long. At the same time, a nearby building casts a shadow that is 36.5m long

GalinKa [24]

1.)Convert into Proportion: 3.5/1.7=x/36.5
2.)Cross Multiply: 1.7x=127.75
3.)Simplify and Solve: x=75.14

x=75.14m tall

5 0

3 years ago

A real estate agency offers three apartments for rent in New Mexico City. The expected total revenue per month from monthly rent

lutik1710 [3]

Monthly maintenance costs of 20% of the rent for the first two apartments and 25% of the rent for the third apartment, which is a total amount of $345 (0.2)x + (0.2)y + (0.25)z = 345 I'm not 1005 sure tho

7 0

3 years ago

14) The perimeter of this isosceles triangle is represented by the

Galina-37 [17]

The isosceles triangle is missing so i have attached it.

Answer:

Length of unknown side = 5p + 6

Step-by-step explanation:

In isosceles triangle, two of the sides are equal. In the attached triangle, we see that one of the equal sides is given as 5p + 3.

Thus,the second equal side is also 5p + 3.

Now, perimeter of a triangle is the sum of the three sides.

We have two sides and let the third side be denoted as x.

Thus;

Perimeter = (5p + 3) + (5p + 3) + x

We are given perimeter = 15p + 12

Thus;

(5p + 3) + (5p + 3) + x = 15p + 12

10p + 6 + x = 15p + 12

Rearranging, we have;

x = 15p - 10p + 12 - 6

x = 5p + 6

4 0

3 years ago