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Vera_Pavlovna [14]
3 years ago
8

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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The points (-6, r)<br> and<br> (6,3) lie on a line with slope 3/4. Find the missing coordinate r.
iren [92.7K]

Answer:

r=-6

Step-by-step explanation:

m=\frac{y2-y1}{x2-x1} \\\frac{3-r}{6-(-6)} =\frac{3}{4} \\4(3-r)=3(12)\\12-4r=36\\-4r=24\\r=-6

8 0
3 years ago
Is 24 root 4 or 16 bigger
alexdok [17]

Answer:

no

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
9. Complete the reasons in the proof below.
Arada [10]
For a), this is clearly a given as it is literally to the right of where it says “Given:”
For b), since ON bisects ∠JOH, this means that it splits it into two separate angles - JON and HON, which are similar due to that bisects mean that it splits it equally into two halves
For c), since NO is the same thing as NO, it is equal to itself
For d), since AAS (angle-angle-side) congruence states that if there are two angles that are congruent (proved in a) and b) ) as well as that a side is congruent (proved in c) ), two triangles are congruent
For e), since two triangles are congruent, every side must have one side that it matches up to in the other triangle. As the opposite side of angle H is JO and the opposite side of angle J is OH, and ∠J=∠H, those two are congruent. As JN and HN are the two sides left, they must be congruent.

Feel free to ask further questions!
4 0
4 years ago
Chris's gross monthly earning is $3000. Calculate his net pay (take-home pay) by using the deductions below.
Bess [88]
1) calculate 12% of 3000
3000=100%
x=12%
3000•12=100•x
x=360
2) calculate 3% of 3000
3000=100%
y=3%
3•3000=100y
y=90
3) calculate 1% of 3000
3000=100%
z=1%
3000•1=100z
z=30
4) calculate 6% of 3000
3000=100%
k=6%
3000•6=100k
k=180
5) now we need to add all this numbers to each other to see total money he has to spend in taxes (but we will take 180 twice because there where two 6%_s)
360+90+30+180+180=840
6) to calculate his take-home pay, we need to subtract 3000 by tax pay that we just calculated
3000-840=2160

FINALL ANAWER—his take home pay is $2160
8 0
3 years ago
Read 2 more answers
Ray
monitta

We are given that:

m∠AOB = m∠AOC + m∠COB

We are also given that:

m∠AOC = m∠COB + 15

m∠AOB = 155

Therefore:

155 = m∠COB + 15 + m∠COB

2 m∠COB = 140

m∠COB = 70°

and,

m∠AOC = m∠COB + 15 = 85°

 

Answers:

m∠COB = 70°

m∠AOC = 85<span>°</span>

6 0
3 years ago
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