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3 years ago

Factor.

Mathematics

1 answer:

Brut [27]3 years ago

3 0

Answer:

$(x+7i)(x-7i)$

Step-by-step explanation:

Since there is no middle term in the equation, one root must use addition (like a + b) while the other uses subtraction (like a – b) so they cancel one another and the middle term disappears. That would make the third term of the equation negative. However, in this instance, the third term is positive. Therefore, roots with imaginary units must be involved. Thus, $(x+7i)(x-7i)$ is the only solution. This is also true because the complex arithmetic rule results in the following:

$(a+bi)(a-bi)=a^2+b^2\\\rightarrow(x+7i)(x-7i)=x^2+7^2\\=x^2+49$

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Sherman goes golfing every 6^\text{th}6 th 6, start superscript, start text, t, h, end text, end superscript day and Brad goes g

nydimaria [60]

Answer:

In every 42 days, Sherman and Brad will go golfing on the same day.

Step-by-step explanation:

Given:

Sherman goes golfing every 6th day.

Brad goes golfing every 7th day.

If they both went golfing today, we need to determine how many days unit they will go golfing on the same day again.

Solution:

In order to determine how many days unit Sherman and Brad will go golfing on the same day again, we will take least common multiple of 6 and 7.

To find least common multiple of 6 and 7, we will list out their multiples.

$6=6,12,18,24,30,36,42$

$7=7,14,21,28,35,42$

We find out that the least common multiple of 6 and 7 =42.

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4 years ago

Read 2 more answers

F(t)=t^2+19t+60<br> What are the zeros of the function and what is the vertex of the parabola?

SVEN [57.7K]

Answer: $-4,-15;\ \left(-\dfrac{19}{2},-\dfrac{121}{4}\right)$

Step-by-step explanation:

Given

Function is $F(t)=t^2+19+60$

Zeroes of the function are

$t^2+19t+60=0\\\\\Rightarrow t=\dfrac{-19\pm\sqrt{19^2-4\times 1\times 60}}{2\times 1}\\\\\Rightarrow t=\dfrac{-19\pm \sqrt{121}}{2}\\\\\Rightarrow t=\dfrac{-19\pm 11}{2}\\\\\Rightarrow t=-4,-15$

Using completing the square method

$y=t^2+2\times \dfrac{19}{2}t+\dfrac{19^2}{2^2}-\dfrac{19^2}{2^2}+60\\\\y=\left(t+\dfrac{19}{2}\right)^2+60-\dfrac{361}{4}\\\\y=\left(t+\dfrac{19}{2}\right)^2-\dfrac{121}{4}\\\\y+\dfrac{121}{4}=\left(t+\dfrac{19}{2}\right)^2\\\\\left(y-(-\dfrac{121}{4}\right)=\left(t-(-\dfrac{19}{2})\right)^2\\\\\text{The vertex is }\left(-\dfrac{19}{2},-\dfrac{121}{4}\right)$

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3 years ago

The extended warranty on a ceiling fan is 18% of the purchase price. If the price of the fan is $140, how much is the warranty?

aleksandr82 [10.1K]

Answer:

b.$25.20

Step-by-step explanation:

Calculation for how much is the warranty

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3 years ago

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Lynna [10]

The slope of the line that passes through the points (14/5) and (20, -4), so you take y-y/x-x so you substitute the y's in for 5 and -4 and x in for 14 and 20.

5--4/ 14-20
9/-6
Then you make the fraction smaller!
-3/2 = Answer <span />

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4 years ago