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Pie
3 years ago
14

Find the missing terms in the equation so that it is true. (3x + ?)^2=9x^2 + ?? +49y^2

Mathematics
1 answer:
valkas [14]3 years ago
8 0

Answer:

see explanation

Step-by-step explanation:

Note that 9x² and 49y² are perfect squares.

9x² = (3x)² → 3x is the first term

49y² = (7y)² → 7y is the second term

Hence

(3x + 7y)² = 9x² + 42xy + 49y²

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Find the area of the red triangle.
JulsSmile [24]

Answer:

it is 9

Step-by-step explanation:

adding 79 and 10 and subsequently subtracting 72 and 8 to get 9

5 0
3 years ago
Please help due tmm
MArishka [77]

so get the people down to unit rates first

Natalie= 40 in 9 minutes

Steven= 10 in 3 minutes

multiply Stevens to get it even

so by 3


30 in 9 minutes

so Natalie paints faster

hope I was helpful

6 0
3 years ago
Abel Alonzo, Director of Human Resources, is exploring employee absenteeism at the Plano Power Plant. Ten percent of all plant e
Alex17521 [72]

Answer: 0.23

Step-by-step explanation:

Given : F is the event "works in the finishing department;"

and A is the event "is absent excessively."

Given : 10% of all plant employees work in the finishing department; 20% of all plant employees are absent excessively; and 7% of all plant employees work in the finishing department and are absent excessively.

i.e. P(A)= 0.20 ;  P(F)=0.10 ; P(A ∩ F) = 0.07

We know that P(X\cup Y)=P(X)+P(Y)-P(X\cap Y)

Then,

P(A\cup F)=P(A)+P(F)-P(A\cap F)\\\\\Rightarrow\ P(A\cup F)=0.20+0.10-0.07=0.23

Hence, the required answer is P(A\cup F)=0.23

5 0
3 years ago
What is the value of AAA when we rewrite \left(\dfrac {6}{17}\right)^{9x}( 17 6 ​ ) 9x (, start fraction, 6, divided by, 17, end
sineoko [7]

We have been given an expression \left(\dfrac {6}{17}\right)^{9x}. We are asked to find the value of A when rewrite our given expression as A^{x}.

To solve our given problem, we will use exponent properties.

Using exponent property a^{mn}=(a^m)^n, we can rewrite our given expression as:

\left(\dfrac {6}{17}\right)^{9x}=\left(\left(\dfrac {6}{17}\right)^9\right)^{x}

Now, we will compare our expression with  A^{x}.

Upon comparing \left(\left(\dfrac {6}{17}\right)^9\right)^{x} with A^{x}, we can see that A=\left(\dfrac {6}{17}\right)^9.

Therefore, the value of A is \left(\dfrac {6}{17}\right)^9.

We can further simplify \left(\dfrac {6}{17}\right)^9 as:

\left(\dfrac {6}{17}\right)^9=\frac {6^9}{17^9}=\frac{10077696}{118587876497}

6 0
3 years ago
A water sprinkler sends water out in a circular pattern. How many feet away from the sprinkler can it spread water if the area f
Alborosie

Answer:

18

Step-by-step explanation:

1,017.36 is the area of the circle and you need to find the radius

area formula : 3.14rsquared

so the formula you are going to solve for your answer is 3.14rsquared=1,017.36

divide by 3.14

rsquared = 324

un square it to get you radius which is 18

you didnt clarify whether you wanted radisu or diameter so ill give both

R: 18

D:36

7 0
3 years ago
Read 2 more answers
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