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nekit [7.7K]
3 years ago
12

Synthetic division for x^2+10x+21/x+3

Mathematics
1 answer:
asambeis [7]3 years ago
4 0
X^2+10x+21/x+3?  If you meant (<span>x^2+10x+21)/(x+3), please note that those parentheses are essential.

If you wish to divide </span><span>x^2+10x+21 by (x+3) using synth. div., use the divisor -3:
 
                                        _______________
                                   -3 /    1      10      21  
                                                     -3      -21
                                         -----------------------
                                              1       7        0

Since the remainder is 0, (x+3) is a divisor of </span><span>x^2+10x+21, and the other factor is (1x + 7).</span><span>

</span>
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A radio arm saw has a circular cutting blade with a diameter of 10 inches and it spins at 2000rpm if there are 12 cutting teeth
FinnZ [79.3K]

Answer:

12565.11 teeth approximately cut cross the cutting surface per seconds.

Step-by-step explanation:

Since the diameter is 10inches, the circumference of the arm saw is 10π (circumference is πd where d is diameter).

The number of teeth on the cutting blade can be gotten by multiplying the diameter by 12 since we have 12 teeth per inch on the arm saw

Number of teeth on saw = 12 x 10π = 120π.

To get the number of teeth that cross the cutting surface in 2000rpm we multiple it by the total number of teeth in just one rpm.

So we have 2000 x 120π. But since we are asked to find it in revolution per seconds then 2000r/m = 2000r/60s ≈ 33.33

Therefore, we have

33.33 x 120π ≈ 12565.11 teeth

7 0
3 years ago
Which expression is equivalent to 15+3x?
Karo-lina-s [1.5K]

Answer:

There are no pictures

Step-by-step explanation:

Show a picture and I will help you.

5 0
3 years ago
Please help me thank you so much
Rama09 [41]
{ } like this is comment a pin it .
4 0
3 years ago
M∥n, m∠1 = 65°, m∠2 = 60°, and m∠6 = 85°. What is m∠DBC?
andre [41]

<u>Answer:</u>

∠DBC = 40°

<u>Step-by-step explanation:</u>

We are given a figure where we know that the angle m∠1 = 65°, m∠2 = 60° and m∠6 = 85°. With the help of these given measures of the angles, we are to find the measure of the angle m∠DBC.

Since the sum of angles in a triangle is equal to 180 degrees, so:

∠1 + ∠2 + ∠3 = 180

∠3 = 180 - (65 + 60)

∠3 = 55°

Also ∠6 and ∠B are alternate interior angles so if ∠6 = 85° then ∠B is also = 85°.

Now that we know ∠3 and ∠B, we can find ∠DBC:

∠DBC = 180 - (85 + 55)

∠DBC = 40°

5 0
3 years ago
Read 2 more answers
Which of the following pairs of angles are supplementary? Select all that apply.
4vir4ik [10]
Supplementary angles mean they equal 180 degrees which means any two angles that equal a line. so that would be:
<1 and <3
<1 and <4
<2 and <3
and <2 and <4

as all of these angles (in their respective pairs) create a single line which is equivalent to 180 degrees
4 0
3 years ago
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