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Minchanka [31]
3 years ago
9

I’m confused on this one

Mathematics
1 answer:
tatyana61 [14]3 years ago
7 0

6\sqrt2

Why?

We have the isosceles right triangle. The length of legs are 6. Use the Pythagorean theorem:

h^2=6^2+6^2\\\\h^2=36+36\\\\h^2=36\cdot2\to h=\sqrt{36\cdot2}\\\\h=\sqrt{36}\cdot\sqrt2\\\\h=6\sqrt2

In general, the formula for calculating the hypotenuse in an isosceles right triangle is h=a\sqrt2

a - a leg, h - a hypotenuse

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Let f(x)=4x^2+13x-12 and g(x)=x+4. Perform the function operation <br> F•g(x)<br><br> Please help!!!
ruslelena [56]

Answer: 4x³+29x²+40x-48

Step-by-step explanation:

To solve f(x)·g(x), you multiply them together.

(4x²+13x-12)(x+4)                           [distribute by FOIL]

4x³+16x²+13x²+52x-12x-48          [combine like terms]

4x³+29x²+40x-48

Now, we know that f(x)·g(x)=4x³+29x²+40x-48.

4 0
3 years ago
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Which polynomial is a perfect square trinomial? (4 points) 9x2 − 12x + 4 36b2 − 24b + 16 16x2 − 24x − 9 4a2 − 10a − 25ynomial is
o-na [289]

Answer:

9x² − 12x + 4

Step-by-step explanation:

A perfect square trinomial:

a² + 2ab +b²= (a + b)²

a² - 2ab +b²= (a - b)²

9x² − 12x + 4 = (3x)² - 2*(3x)*2 + 2² = (3x - 2)²

36b² − 24b + 16

16x² − 24x − 9

4a² − 10a − 25

8 0
3 years ago
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A band sells tickets to a concert cost either $15 for adults or $10 for students. A total of 150 tickets are sold. If the band m
kodGreya [7K]

Answer:

Number of adult tickets sold= 100

Step-by-step explanation:

Giving the following information:

Adults tickets= $15

Student tickets= $10

Number of tickets sold= 150

Total sales= $2,000

<u>First, we determine the systems of equations:</u>

15*x + 10*y= 2,000

x + y = 150

x= number of adults tickets sold

y= number of students tickets sold

<u>Now, we isolate x in one equation, and substitute it in the other one:</u>

x= 150 - y

15*(150 - y) + 10y = 2,000

2,250 - 15y + 10y = 2,000

250 = 5y

50= y

x= 150 - 50

x= 100

<u>Prove: </u>

15*100 + 10*50= 2,000

100 + 50 = 150

3 0
3 years ago
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Alekssandra [29.7K]
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Write the value of 4 in 305,444
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Divide 305444 by 4

305444 / 4
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so
76361 times 4 is equal to 76361
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