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OLga [1]
3 years ago
5

Choose the correct simplification of (9x3y2)2

Mathematics
1 answer:
egoroff_w [7]3 years ago
6 0

\bf (9x^3y^2)^2\implies \stackrel{\textit{distributing the exponent}}{(9^2x^{3\cdot 2}y^{2\cdot 2})}\implies 81x^6y^4

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I need help with exercises 3,4, and 6 please show all work and don’t answer number 5 just tell me if it is correct
joja [24]
*If you need me to do #5, DM me!

3. 
The area of a triangle can be given by (just plug and chug as always):
A_t = \frac{1}{2} bh = \frac{1}{2}(3)(4) = 6ft^2
The area of the triangle is 6ft².

4. I will divide into a triangle and a rectangle (because the actual equation for the area of a pentagon requires it to be a perfect pentagon). Let's do the triangle first (height is 3 because you subtract 12 from 15):
A_t = \frac{1}{2} bh = \frac{1}{2}(8)(3) = 12m^2
A_r = bh = 12(8) = 96m^2
Now we just add them:
96+12 = 108m^2

So, the area of that pentagon is 108m².

5. You are actually wrong on this one because the area of a triangle is:
A_t = \frac{1}{2}bh
So, just halve your answer and it will be correct.

6. We can just split it into 4 triangles of equal area and then multiply the area of 1 triangle by 4 to get the total area. Let's do just that:
A_t = \frac{1}{2}bh = \frac{1}{2}(2.5)(5) = 6.25cm^2
Multiply by 4 to get total area:
6.25*4 = 25cm^2

So, the area of the given rhombus is 25cm².
8 0
3 years ago
Can someone help me figure out the answer?
olga_2 [115]

Answer:

y = -2x +15

Step-by-step explanation:

The point-slope form of the equation for a line through (h, k) with slope m is ...

... y - k = m(x - h)

For your point (h, k) = (5, 5) and slope m = -2, the equation in point-slope form is ...

... y - 5 = -2(x - 5)

Simplifying, we get

... y - 5 = -2x +10

Adding 5 puts the equation into slope-intercept form, as you want.

... y = -2x +15

8 0
3 years ago
Write 6(x - 5)^4+ 4(x - 5)^2 + 6 = 0 in the form of a quadratic by using substitution
Juliette [100K]

Answer:

3m^2+2m+3=0

Step-by-step explanation:

6(x - 5)^4+ 4(x - 5)^2 + 6 = 0

  • (x-5)^2= m

6m^2+4m+6=0

or

3m^2+2m+3=0

5 0
3 years ago
Which choice is equivalent to the fraction below?
yawa3891 [41]

Answer:

I think A

Step-by-step explanation:

   But im not sure

6 0
3 years ago
Which ordered pairs are solutions to the inequality 2x+3y≥−1 ?
Pavlova-9 [17]
There are many pairs that are solutions to this inequality. You can find them all by graphic this on a coordinate plane and then shading the region. 

You can also plug any of the ordered pairs that they give you into the equation and see if they produce a true statement. 
7 0
3 years ago
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