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3 years ago

Are all quadrilaterals 4 sided?

Mathematics

2 answers:

Vikki [24]3 years ago

7 0

Answer:

Yes

Step-by-step explanation:

Quad means 4 and in the word quadrilateral there's quad.

Sidana [21]3 years ago

5 0

Answer:

Yes

Step-by-step explanation:

The definition of a quadrilateral is a shape that has 4 sides

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4p-10<6p-8 or 10p+16<9p-3

Finger [1]

Answer:

p>-1 or p<-19

Step-by-step explanation:

4p-10<6p-8 (add 10 to each side)

4p< 6p+2 (subtract 6p from each side)

-2p<2 (divide by -2 and switch the sign)

p>-1

10p+16<9p-3 (subtract 16 from each side)

10p<9p+-19 (subtract 9p from each side)

p<-19

8 0

3 years ago

Verify that the roots of 5x²- 6x -2 = 0 are <img src="https://tex.z-dn.net/?f=%5Cfrac%7B3%20%2B%20%5Csqrt%7B19%7D%20%7D%7B5%7D%2

Mice21 [21]

Answer:

Proof below.

Step-by-step explanation:

Quadratic Formula

$x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when }\:ax^2+bx+c=0$

Given quadratic equation:

$5x^2-6x-2=0$

Define the variables:

a = 5
b = -6
c = -2

Substitute the defined variables into the quadratic formula and solve for x:

$\implies x=\dfrac{-(-6) \pm \sqrt{(-6)^2-4(5)(-2)}}{2(5)}$

$\implies x=\dfrac{6 \pm \sqrt{36+40}}{10}$

$\implies x=\dfrac{6 \pm \sqrt{76}}{10}$

$\implies x=\dfrac{6 \pm \sqrt{4 \cdot 19}}{10}$

$\implies x=\dfrac{6 \pm \sqrt{4}\sqrt{19}}{10}$

$\implies x=\dfrac{6 \pm2\sqrt{19}}{10}$

$\implies x=\dfrac{3 \pm \sqrt{19}}{5}$

Therefore, the exact solutions to the given quadratic equation are:

$x=\dfrac{3 + \sqrt{19}}{5} \:\textsf{ and }\:x=\dfrac{3 - \sqrt{19}}{5}$

Learn more about the quadratic formula here:

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3 0

1 year ago

Read 2 more answers

Write an expression that has three terms and simplifies to 4x-7.

nikklg [1K]

You get 3x + 4x, +4- -3,and +3 + 4

4 0

3 years ago

A farm packages eggs into cartons that hold two dozen eggs each. Last week, 5,398 eggs were collected. How many cartons will the

Sonbull [250]

Answer:

225

Step-by-step explanation:

We're told that each carton holds two dozen eggs, or 24 eggs. To find out how many cartons the farm will need, we divide the total amount of eggs by the amount of eggs that fit in each carton. So:

$\frac{5398}{24} = 224.916667$

Since the number is a decimal, you need to round up to make sure every egg is in a carton. So, your answer is 225.

4 0

2 years ago

A cyclist takes 16secs to travel 200 meters. a. calculate the speed. B. Is this speed at the start, at the finish or the average

alisha [4.7K]

Answer:

12.5 secs per meter

Step-by-step explanation:

start of average

7 0

3 years ago