Multiply 1 over 2 multiplied by negative 1 over 4 . Which of the following is correct?

I need help please!

Sophie [7]

Answer/Step-by-step explanation:

Area of trapezium = ½*(AD + BC)*AB

Area = 42 cm²

AD = (x + 8) cm

BC = (x + 5) cm

AB = x cm

Plug in the values into the equation

42 = ½((x + 8) + (x + 5))*x

42 = ½((x + 8 + x + 5)*x

42 = ½(2x + 13)*x

Multiply both sides by 2

42*2 = (2x + 13)*x

84 = 2x² + 13x

2x² + 13x = 84

Subtract both sides by 84

2x² + 13x - 84 = 0

4 0

3 years ago

Which relationship is a direct variation?

Setler79 [48]

Option A is the relationship which shows a direct variation.

Step-by-step explanation:

The direct variation is a relationship between two variables in which one is the multiple of the other. It is given by the relation

$\frac{y}{x}=k$

Option A:

For $x=2$ and $y=1$ ,

$\frac{y}{x}=\frac{1}{2}$

For $x=4$ and $y=2$ ,

$\frac{y}{x}=\frac{2}{4}= \frac{1}{2}$

Since, the constant k is equal for all the values of x and y in the table, this relationship is a direct variation.

Option B:

For $x=2$ and $y=4$ ,

$\frac{y}{x}=\frac{4}{2}= 2$

For $x=4$ and $y=16$ ,

$\frac{y}{x}=\frac{16}{4} =4$

Since, the values of constant k is not equal for all the values of x and y in the table, this relationship is not a direct variation.

Option C:

For $x=1$ and $y=3$

$\frac{y}{x} =\frac{3}{1} =3$

For $x=2$ and $y=5$

$\frac{y}{x} =\frac{5}{2}$

Since, the values of constant k is not equal for all the values of x and y in the table, this relationship is not a direct variation.

Option D:

For $x=1$ and $y=-1$

$\frac{y}{x} =\frac{-1}{1} =-1$

For $x=2$ and $y=2$

$\frac{y}{x} =\frac{2}{2} =1$

Since, the values of constant k is not equal for all the values of x and y in the table, this relationship is not a direct variation.

Thus, Option A is the relationship which shows direct variation.

7 0

3 years ago

Please answer this correctly i'll give u 50 points and brainliest

Ivanshal [37]

Answer:

Step-by-step explanation:

Since lines 1 and 2 are parallel, <2=<6 because corresponding angles of parallel lines are congruent. <8 is the vertical angle of <6 meaning it's equal to <6. <8=115 degrees. <7 is the supplement of <6 and therefore 180-<6=<7. 180-115=65.

7 0

3 years ago

Quadrilateral PQRS is inscribed in a

AveGali [126]

Answer: H

Step-by-step explanation:

8 0

3 years ago

The admission fee at the steamboat springs hot air balloon festival is $1.50 for children and $4.00 for adults. On a certain day

GaryK [48]

Answer:

Number of child tickets = 800

Number of adult tickets = 330

Step-by-step explanation:

Let c = number of child tickets

and a= the number of adult tickets.

We are given:

The admission fee at the steamboat springs hot air balloon festival is $1.50 for children and $4.00 for adults.

On a certain day, 1,130 enter the festival and 2, 520 is collected.

Making equations:

$c+a=1130$ (because total people entered are 1130, so adding number of adult and child tickets will give us total number of people)

$1.50c+4.00a=2520$ (because total money collected is 2520, so adding coat of adult and child tickets will give us total money)

Now, solving these equations simultaneously, we can find values of x and y

Let:

$c+a=1130--eq(1)\\1.50c+4.00a=2520--eq(2)$

From equation 1 find value of c and put it in eq(2)

$c+a=1130\\c=1130-a$

Putting value of c in eq(2)

$1.50c+4.00a=2520\\Put\:c=1130-a\\1.5(1130-a)+4a=2520\\1695-1.5a+4a=2520\\-1.5a+4a=2520-1695\\2.5a=825\\a=\frac{825}{2.5}\\a=330$

So, we get value of a = 330

Now, punting value of a in eq(1) to get value of c

$c+a=1130\\c+330=1130\\c=1130-330\\c=800$

So, we get value of c = 800

Therefore:

Number of child tickets = c= 800

Number of adult tickets = a = 330

4 0

3 years ago