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AVprozaik [17]
2 years ago
14

The hypotenuse of a right triangle measures 17 cm and one of its legs measures 8 cm.

Mathematics
2 answers:
Ghella [55]2 years ago
7 0

Answer:

15

Step-by-step explanation:

B=√h²-p²

=√17²-8²

=√289-64

=√225

=15

ans:

riadik2000 [5.3K]2 years ago
3 0

Answer:

15cm

Step-by-step explanation:

  • c2=a2+b2 thus do the math and 15 comes
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EleoNora [17]
<span>Part 1:

(x+1)^2-3(x+2) \\  \\ =x^2+2x+1-3x-6 \\  \\ =x^2-x-5

option b.


Part 2:
(5x^3y^{-3})(-6x^4y)\\ \\=5(-6)x^{3+4}y^{-3+1}\\ \\=-30x^7y^{-2}\\ \\=\frac{-30x^7}{y^2}

option d


Part 3:
\frac{8+x}{2} - \frac{x+3}{3} =4

Multiply through by the LCM of 2 and 3 (i.e. 6)
6\left(\frac{8+x}{2}\right) - 6\left(\frac{x+3}{3}\right) =6(4) \\  \\ 3(8+x)-2(x+3)=24 \\  \\ 24+3x-2x-6=24 \\  \\ x+18=24 \\  \\ x=24-18=6

option b


Part 4
x^2-3x-8=x+4

x^2-3x-8=x+4 \\  \\ x^2-3x-x-8-4=0 \\  \\ x^2-4x-12=0 \\  \\ (x-6)(x+2)=0 \\  \\ x=6 \ or \ -2

option d


Part 5
Joseph is solving the equation x^2+8x-4=0 using the technique completing the square.
x^2+8x-4=0
x^2+8x+?=4+?

In completeing the square method, you divide the coeficient of x by 2, square the result and add to both sides of the equation.

Therefore, he should add 16 to both sides because (8/2)^2=16.

option d.
</span>
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3 years ago
You and a friend currently have 650 pictures on your phones. Your friend has 131 more pictures than you. How many pictures do ea
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Answer:

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Step-by-step explanation:

plug in the coordinates for x and y

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3. If y varies inversely as x and y = 20 when x = 4, find y when x = 8.
Vilka [71]

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Step-by-step explanation:

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3 years ago
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The difference between the roots of the quadratic equation x^2−12x+q=0 is 2. Find q.
shtirl [24]

Answer:

  • The required value of q is 35.

Step-by-step explanation:

Let α and β are the zeros of quadratic equation, x^2−12x+q=0.

  • It is given that difference between the roots of the quadratic equation x^2−12x+q=0 is 2.

Equation : α - β = 2

Equation : α + β = 12

Equation : αβ = q

We have to create an algebraic expression.

(a+b)² = (a-b)² + 4ab

(12)² = (2)² + 4q

144 = 4 + 4q

144 - 4 =4q

140=4q

q = 140/4

q = 35

Therefore, the required value of q is 35.

<u>Some information about zeroes of quadratic equation. </u>

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