What is the length of the missing side of the quadrilateral shown if the perimeter is 5x^2+2x+1?

Answers

Answer 1
Answer:

 I am thinking that the quadrilateral is not given to be a rhombus.

The perimeter is the sum of the 4 sides.

Adding 2x^2 + x -1 to 3x^2 -5x and then that sum to 4x^2 gives

9x^2 - 4x - 1 as the sum of the three given sides.

Subtract that from the given perimeter to get the missing side length.

5x^2 + 2x + 1 - (9x^2 -4x -1) =

-4x^2 + 6x + 2



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How many revolution will a car wheel of diameter 30in make as the car travels a distance of one mile.

Answers

Circumference = (pi) x (diameter) = 30 pi inches.

1 foot = 12 inches
1 mile = 5,280 feet = 63,360 inches

Number of revolutions in 1 mile = (63,360) / (30 pi) = 672.27... revs (rounded)

Determine the intercepts of the line x intercept ...... y intercept ?​

Answers

Answer:

Step-by-step explanation:

x-intercept if when y is 0, so, on the x-axis. as we can see the x-intercept is -40

y-intercept if when x is 0, so, on the y-axis. as we can see the y-intercept is 15

Answer:

x-intercept: (-40,0)

y-intercept: (0,15)

Step-by-step explanation:

The x-intercept is the point where the line meets the x-axis, and the y-intercept is the point on the line which meets the y-axis.

The line intersects the y-axis at 15, so the y-intercept is (0, 15).

The line intersects the x-axis at -40, so the x-intercept is (-40, 0).

Hope this helps :)

If xy is rational, must x and y each be rational?

Answers

Your answer is is simply,no x and y could have a common irrational factor. 

Please help me solve this question.

Answers

Cut the sign in half across its middle.  Then you have two right triangles.
They're congruent, so pick one to work with, and discard the other one
temporarily.

In the right triangle:

-- The length of one leg is 'x'.
-- The length of the other leg is (2x + 7).
-- The length of the hypotenuse is  35.47 inches.

You know that in any right triangle:

(The square of the hypotenuse) =
                     (the square of one leg) + (the square of the other one.)

so you can use that to find the value of 'x'.

One you know the value of 'x', go back to the whole sign before you cut it
in half, and notice that the height of the sign is '2x' ... which is the answer.
height =2x so we must find x then multiply by 2

if we cut the triangle in half from with the line from left to right, we have a trianlgle that is x high and 2x+7 wide and the hyposonuse that is 35.47 so
a^2+b^2=c^2
x^2+(2x+7)^2=35.47^2
x^2+4x^2+28x+49=1258.12
group like terms
5x^2+28x+49=1258.12
subtract 1258.12 from both sides
5x^2+28x-1209.12=0
factor 5(x-13.0008)(x+18.6008)=0
therefore
(x-13.0008) or/and (x+18.6008)=0
x-13.0008=0
add 13.0008 to both sides
x=13.0008

x+18.6008=0
subtract 18.6008 from both sides
x=-18.6008
since heights cannot be negative, this solution can be discarded

so x=13.0008
2x=height=26.0016

Karen's favorite movie is 123.13 minutes long. Her second-favorite movie is 96.75 minutes long. How much longer is herfavorite movie?

Answers

answer: 123.13-96.75
26.37

Answer:

Her favorite movie is 26.38 minutes longer

Step-by-step explanation:

All you have to do is subtract 123.13 by 96.75.

123.13 - 96.75= 26.38

40 Jenny is buying gifts for her family. So far she has spent $45,95, and she has one more gift to buy. She started with a total of $60 to spend on all of her gifts Write an inequality that shows how much she can spend on the final gift

Answers

Greetings!

Answer:

x \leq 14.05

Step-by-step explanation:

First, to find the boundary we need to find the amount of money left, simply subtract the spent amount from the total:

60 - 45.95 = 14.05

Seeing as this is the amount, she can spend any amount up to and including 14.05, so we need an equal to or smaller than sign:

Let x be the value of the object:

x \leq 14.05

Which is the inequality!


Hope this helps!