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3 years ago

damita uses the pythagorean theorem to write the equation 2k² = j² to represent the triangle shown. Is she correct? Explain.

Mathematics

1 answer:

Rudiy273 years ago

4 0

Answer:

Yes, She is correct.

Step-by-step explanation:

Pythagorean theorem:

base² + altitude² = hypotenuse²

k² + k² = j²

Add the like terms. Like terms have same variable with same power.

2k² = j²

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Use the perfect square trinomial identity to write this expression in factored form:

Studentka2010 [4]

Answer:

(x + 5)²

Step-by-step explanation:

To get this we must find a binomial that multiplies by itself to get x² + 10x + 25.

(x + 5)(x + 5)

= x² + 5x + 5x + 25

= x² + 10x + 25

6 0

3 years ago

The marketing club at school is opening a student store. They randomly survey 50 students about how much money

yKpoI14uk [10]

Answer:

6.75

Step-by-step explanation:

2+10+1+8+12+6+23+5+8+4+4+3+2.59+5.11+5.18+9.07 = 107.95

now we count how much numbers you added up which equals 16 and divide it with 107.95

107.95/16 = 6.746875

now you cant pay half a penny or such and such

so your round it off at 6.746 to 6.75

and there you have it

8 0

3 years ago

Solve: 12^x2+5x-4 =12^2x+6

lyudmila [28]

Answer:

x=2, x=-5

Step-by-step explanation:

to work more comfortably, the first thing we need to do is work the equation linearly, for that we take advantage of the property of logarithms that tells me that $log(a^{b})=b*log(a)$

in this way, the equation remains as:

$log(12^{x^{2} +5x-4 } )=log(12^{5x+6} ) \\ (x^{2} +5x-4 )*log(12)=(5x+6) *log(12)\\x^{2} +5x-4 = 5x+6$

Now we clear the equation so that it is of the form $ax^{2} +bx+c=0$

$x^{2} +5x-2x=6+4\\ x^{2} +3x-10=0$

finally, we apply the equation to solve second degree equations

$x = \frac{-b \pm \sqrt {b^2-4ac}}{2a}$

$x = \frac{-3 \pm \sqrt {3^2-4*1*(-10)}}{2*1}\\ x = \frac{-3 \pm \sqrt {9+40}}{2}\\ x = \frac{-3 \pm 7}{2}$

x=2 and x=-5

Done

5 0

4 years ago

Find the measure of ∠3.

Shkiper50 [21]

This is a kite due to the adjacent congruent sides (shown by the tickmarks). With any kite, the diagonals are perpendicular. So angle 3 is 90 degrees.

<h3>Answer: 90 degrees</h3>

5 0

3 years ago

Write the linear system:

notsponge [240]

Answer:

(See explanation for further details).

Step-by-step explanation:

C) The linear system is:

$(-1)^{2} \cdot a + (-1)\cdot b + c = 5$