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2 years ago

Solve the equation using factoring polynomials. (z+5)2z

Mathematics

1 answer:

Mkey [24]2 years ago

6 0

(x + 5)²z
(x + 5)(x+ 5)z
(x² + 5x + 5x + 25)z
(x² + 10x + 25)z
(x²)z + (10x)z + (25)z
x²z + 10xz + 25z

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Help with proofs please

alexandr402 [8]

Answer:

D. Subtraction Property of Equality

Step-by-step explanation:

Hope it helps.

8 0

2 years ago

<img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B125%20%7D%20-%20%5Csqrt%7B180%7D%20%2B%20%5Csqrt%7B45%7D%20" id="TexFormula1" tit

Kobotan [32]

Answer:

2 $\sqrt{5}$

Step-by-step explanation:

Using the rule of radicals

$\sqrt{a}$ × $\sqrt{b}$ ⇔ $\sqrt{ab}$

Simplifying the radicals

$\sqrt{125}$ = $\sqrt{25(5)}$ = $\sqrt{25}$ × $\sqrt{5}$ = 5 $\sqrt{5}$

$\sqrt{180}$ = $\sqrt{36(5)}$ = $\sqrt{36}$ × $\sqrt{5}$ = 6 $\sqrt{5}$

$\sqrt{45}$ = $\sqrt{9(5)}$ = $\sqrt{9}$ × $\sqrt{5}$ = 3 $\sqrt{5}$

Thus

$\sqrt{125}$ - $\sqrt{180}$ + $\sqrt{45}$

= 5 $\sqrt{5}$ - 6 $\sqrt{5}$ + 3 $\sqrt{5}$

= 2 $\sqrt{5}$

3 0

2 years ago

Jimmy ran at a speed of m miles. how far did he run in t minutes

beks73 [17]

Answer:

(mxt) miles

Step-by-step explanation:

$speed = m \: miles \: per \:minute \\ time \: = t \: minutes \\ speed = \frac{distance}{time} \\ m = \frac{d}{t} \\ m \times t \: = d \\ d = (m \times t)miles$

hope that this is helpful.

8 0

2 years ago

One-third of a number added to itself equals 3 times the difference of the number and seven.

olya-2409 [2.1K]

Answer:

Step-by-step explanation:

Do this step by step.

Let the number = x

1/3 of a number = 1/3 x

Added to itself 1/3x + x

3*(x - 7)

So the equation is

1/3x + x = 3(x - 7) Remove the brackets. Collect 1/3x and x

4/3 x = 3x - 21 Multiply both sides by 3.

4x = 3*(3x - 21) Remove the brackets again

4x = 9x - 63 Subtract 9x from both sides

-5x = -63 Divide by -5

x = -63/-5

x = 12.6

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2 years ago

HELPPPPPPPPPPPPPPPPPPPP: Why does the AA similarity Theorem only need to identify the measurement of 2 congruent angles? Why is

madam [21]

The Third Angle Theorem states if two angles are congruent to two angles in another triangle, the third angles are congruent too. Because a triangle has 180 degrees the third angle in any triangle is 180 degrees minus the other two angle measures

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3 years ago