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3 years ago

Put these four fractions in order from smallest to largest: 1/4, 2/3, 4/7, 1/2

Mathematics

1 answer:

Alex Ar [27]3 years ago

4 0

1/4, 1/2, 4/7, and 2/3. I hope this helps!

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Simplify the following expression: 3X(4-1) + (6+21)

Ilya [14]

Answer:

9x+27

Step-by-step explanation:

3x(4−1)+6+21

=9x+6+21

Combine Like Terms

=9x+6+21

=(9x)+(6+21)

=9x+27

3 0

3 years ago

Read 2 more answers

( x − 3 ) ( x − 1 ) (x−3)(x−1)

galina1969 [7]

Answer:

x² - 4x + 3

Step-by-step explanation:

When multiplying binomials (two terms in an expression), use FOIL. It stands for the first, outside, inside, and last terms in each bracket.

(x−3)(x−1) Expand with FOIL

= x² - x - 3x + 3 Collect like terms

= x² - 4x + 3

7 0

3 years ago

What equation represents a parabola with a focus of (0,4) and a directrix of y=2

scZoUnD [109]

We know that

Any point (x,y) on the parabola is equidistant from the focus and the directrix

Therefore,

focus (0,4) and directrix of y=2

√[(x−0)²+(y−4)²]=y−(2)

√[x²+(y-4)²]=y-2

x²+(y-4)²=(y-2)²

x²+y²-8y+16=y²-4y+4

x²=4y-12-----> 4y=x²+12----->y= (x²/4)+3

the answer is

y= (x²/4)+3

7 0

4 years ago

Find the area of the shape shown below based on the picture i took

DanielleElmas [232]

you didnt link the picture

6 0

3 years ago

After drawing the line y = 2x − 1 and marking the point A = (−2, 7), Kendall is trying to decide which point on the line is clos

igor_vitrenko [27]

Answer:

Step-by-step explanation:

Having drawn the line, Kendall must verify that the point P belongs to the line y = 2x-1 and then calculate the distance between A-P and verify if it is the closest to A or there is another one of the line

Having the point P(3,5) substitue x to verify y

y=2*(3)-1=6-1=5 (3,5)

Now if the angle formed by A and P is 90º it means that it is the closest point, otherwise that point must be found

$d_{AP}=\sqrt{(y_{2}-y_{1})^{2}+(x_{2}-x_{1})^{2}}=\sqrt{(5-7)^{2}+(3-(-2}))^{2}}=\\\sqrt{(-2)^{2}+(5)^{2}}=\sqrt{29}$

and we found the distance PQ and QA

; $d_{PQ}=\sqrt{125}$ , $d_{QA}=12$

be the APQ triangle we must find <APQ through the cosine law (graph 2).

3 0

3 years ago