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fiasKO [112]
3 years ago
10

Which equation is equivalent to the given equation? X^2-14x=-48

Mathematics
1 answer:
9966 [12]3 years ago
7 0

Answer:

(x-6)(x-8)=0

Step-by-step explanation:

x^2-14x+48=0

Factorizing

x^2-8x-6x+48=0

(x^2-8x)+(-6x+48)=0

x(x-8)-6(x-8)=0

(x-6)(x-8)=0

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The place value disk model is showing 67 ÷ 4.
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The 2 tens remaining get decomposed into 20 ones in the ones column.

Step-by-step explanation:

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3 years ago
2. Use the following picture for this question:
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Answer:

a.  24\sqrt{3}  and 41.6

b.  52.1

Step-by-step explanation:

a.

Considering the left side triangle the blue dotted side is the side "opposite" to the angle given and the side 24 is the side that is "adjacent" to the angle given. The trigonometric ratio tan relates opposite to adjacent. Also, let the blue dotted side be y.

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Thus, we can write Tan(60)=\frac{y}{24}\\y=24*Tan(60)\\y=24*\sqrt{3} \\y=24\sqrt{3}

Approximate value (rounded to nearest tenth):  24\sqrt{3} =41.6

b.

Considering the triangle to the right, the side "opposite" to the angle given (53 degrees) is 41.6 (just found in part (a)) and the side "hypotenuse" (side opposite to 90 degree angle) is x. The trigonometric ratio sine relates opposite and hypotenuse.

Thus we can write and solve:

Sin(53)=\frac{41.6}{x}\\x=\frac{41.6}{Sin(53)}=52.1

4 0
3 years ago
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8 0
2 years ago
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