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2 years ago

Find the values of x and y for which the quadrilateral must be a parallelogram.

Mathematics

1 answer:

BabaBlast [244]2 years ago

5 0

Answer:

I believe you are right.

Step-by-step explanation:

All sides seem to be of similar length. The values you put in would make the sides equal so I would go with that one.

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The end of a hose was resting on the ground, pointing up an angle. Sal measured the path of the water coming out of the hose and

Travka [436]

Answer:

3.2 feet

Step-by-step explanation:

The equation $f(x)=-0.3x^{2}+2x$ shows the height of water [ $f(x)$ ] and horizontal distance [ $x$ ].

Given the horizontal distance is 4 feet, they want to know the height.

Simply put 4 in $x$ of the equation and solve for $f(x)$ . So,

$f(x)=-0.3(4)^{2}+2(4)\\f(x)=3.2$

So, the height of the water was 3.2 feet above the ground.

4 0

2 years ago

Read 2 more answers

In ACME PUBLISHING SWEEPSTAKES, the chance of winning a car is 1 in 1,000. What percent of tickets to ACME PUBLISHING SWEEPSTAKE

Yuri [45]

Answer:

0.1% of tickets to ACME PUBLISHING SWEEPSTAKES win a car

Step-by-step explanation:

Given :The chance of winning a car is 1 in 1,000.

To Find : What percent of tickets to ACME PUBLISHING SWEEPSTAKES win a car?

Solution:

The chance of winning a car is 1 in 1,000.

The percent of tickets to ACME PUBLISHING SWEEPSTAKES win a car:

= $\frac{1}{1000} \times 100$

= $\frac{1}{10}$

= $0.1\%$

Hence 0.1% of tickets to ACME PUBLISHING SWEEPSTAKES win a car.

8 0

2 years ago

Which equations represent the line that is perpendicular to the line 5x − 2y = −6 and passes through the point (5, −4)? Select t

nignag [31]

For this case we have that by definition, the equation of a line in the slope-intersection form is given by:

$y = mx + b$

Where:

m: It's the slope

b: It is the cut-off point with the y axis

On the other hand we have that if two lines are perpendicular, then the product of their slopes is -1. So:

$m_ {1} * m_ {2} = - 1$

The given line is:

$5x-2y = -6\\-2y = -6-5x\\2y = 5x + 6\\y = \frac {5} {2} x + \frac {6} {2}\\y = \frac {5} {2} x + 3$

So we have:

$m_ {1} = \frac {5} {2}$

We find $m_ {2}:$ $m_ {2} = \frac {-1} {\frac {5} {2}}\\m = - \frac {2} {5}$

So, a line perpendicular to the one given is of the form:

$y = - \frac {2} {5} x + b$

We substitute the given point to find "b":

$-4 = - \frac {2} {5} (5) + b\\-4 = -2 + b\\-4 + 2 = b\\b = -2$

Finally we have:

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

In point-slope form we have:

$y - (- 4) = - \frac {2} {5} (x-5)\\y + 4 = - \frac {2} {5} (x-5)$

ANswer:

$y = - \frac {2} {5} x-2\\y + 4 = - \frac {2} {5} (x-5)$

3 0

2 years ago

Read 2 more answers

Ellie borrows money at a year simple rate of 6 1/2% after 4 years ellie owes 39 interest

kupik [55]

Answer: Ellie borrowed $150.

Step-by-step explanation:

I = PRT

39 = P x 0.065 x 4

39 = P x 0.26

Divide both sides by 0.26

150 = P

6 0

2 years ago

Pauline gets a 2% commission on her sales at her job. She sells $23,500 worth of products in May.

Illusion [34]

470 dollars . 2% Of 23,500

7 0

2 years ago