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rusak2 [61]
3 years ago
11

Complete this statement

Mathematics
1 answer:
nadya68 [22]3 years ago
6 0

We have to complete the statement of

20ax^2+25ax+15a = 5a\left ( \   \   \   \   \  \    \right )

The left hand side is given by

20ax^2+25ax+15a

Now when we take GCF as 5a, then we have to divide each term of the expression with 5a. Thus, we have

20ax^2+25ax+15a = 5a \left (\frac{20ax^2}{5a}+\frac{25ax}{5a}+\frac{15a}{5a}   \right )\\
\\
20ax^2+25ax+15a = 5a\left ( 4x^2 +5x+3 \right )

Therefore, to complete the statement we need to enter 4x^2 +5x+3 in the box.

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Find two consecutive numbers with a product of 121
Crank
One number: x
Its consecutive:  x + 1

Product:

x(x+1)=121
x² + x - 121 = 0

Δ = 1² - 4.1.(-121)
Δ = 1+484
Δ = 485

As square root of 485 is not integer, do not exist two consecutive numbers with product of 121
6 0
3 years ago
Someone plz. help me with 7 and 8
Anon25 [30]
7.) the equation of the circle is
(x - 3)^2 + (y - 4)^2 = 25

If you substitute the point in you get
(6-3)^2 + (8-4)^2 = 25
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9 + 16 = 25
25 = 25

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8.) you add the x coordinates together and divide by 2
7 + 4 = 11
11/2 = 5.5
You use +7 because you need to find the midpoint.
You then add 5.5 to - 7 or - 5.5 from 4
-7 + 5.5 = - 1.5

You do the same for y coordinates
6+5 = 11
11/2 = 5.5
6-5.5 = 0.5

So the coordinates of Rachel's house are
(-1.5, 0.5)
3 0
3 years ago
Is it a rational or irrational?
zloy xaker [14]

Answer:

rational

Step-by-step explanation:

because it has a decimal

6 0
3 years ago
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What is the lateral area of a cone with radius 19 cm and slant height 11 cm?
konstantin123 [22]
<span>I did the 38 times pi and got 119.3805 then multiplied it by 11 To get 1313.1855 Then divided by 2= 656.59275 And divided by pi 208.9999 Then round up.</span>
3 0
3 years ago
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Rearrange to make x the subject t=bx/3
g100num [7]

Answer:

x = 3t/b

Step-by-step explanation:

Step 1: Multiply both sides by 3

t = bx/3

3t = bx

Step 2: Divide both sides by <em>b</em>

3t/b = x

8 0
3 years ago
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