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Inessa [10]
3 years ago
14

I really need help asap please!

Mathematics
1 answer:
Mazyrski [523]3 years ago
4 0

Answer:

49

Step-by-step explanation:

the line joined by midpoints of sides is called midsection

which is parallel to the third side and is half its length

so (5x - 26) * 2 = 9x - 37

10x - 52 = 9x - 37

x = 52 - 37

x = 15

so PQ is 5x - 26

= 5*15 - 26

= 75 - 26

= 49

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Assuming x > 0, which of these expressions is equivalent to 11 times the square root of 245 x to the third plus 9 times the s
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The answer is <span>104 x times the square root of 5 x 
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<span>11 times the square root of 245 x to the third plus 9 times the square root of 45 x to the third is:
</span>11 \sqrt{245 x^{3} } +9 \sqrt{45 x^{3} } =11 \sqrt{245}  *\sqrt{ x^{3} } +9 \sqrt{45} *\sqrt{ x^{3} }= \\  \\ =11 \sqrt{5*49} * \sqrt{ x^{2} *x} +9 \sqrt{5*9} * \sqrt{ x^{2} *x}= \\  \\ =11* \sqrt{5}  * \sqrt{49} * \sqrt{ x^{2}} * \sqrt{x} +9* \sqrt{5} * \sqrt{9} * \sqrt{ x^{2} }* \sqrt{x} = \\  \\ &#10;=11* \sqrt{5} *7*x* \sqrt{x} +9* \sqrt{5} *3*x* \sqrt{x} = \\  \\ &#10;=77x* \sqrt{5*x} +27x* \sqrt{5*x}  = \\  \\ &#10;=77x \sqrt{5x} +27x \sqrt{5x} = \\  \\ &#10;=104x \sqrt{5x}
4 0
3 years ago
Read 2 more answers
Suppose that there are two types of tickets to a show: advance and same-day. The combined cost of one advance ticket and one sam
frosja888 [35]

Answer:

Advance tickets cost $30; same-day tickets cost $35.

Step-by-step explanation:

Let a = the cost of an advance ticket

and s = the cost of a same-day ticket

We have two conditions:

                                                         (1)                  a + s = 65

                                                         (2)        15a + 20s = 1150

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Distribute the 20                             15a + 1300 - 20a  = 1150

Combine like terms                                     1300 - 5a = 1150

Subtract 1300 from each side                               -5a = -150

Divide each side by -5                    (4)                     a = 30

Substitute (4) into (1)                                          30 + s = 65

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Check:

(1) 30 + 35 = 65     (2) 15 × 30 + 20 × 35 = 1150

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