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viva [34]
3 years ago
12

The sum of 3 times a number and 1 is 17 decreased by the number. What expression will be translated on the left side of the equa

ls sign
Mathematics
1 answer:
Zepler [3.9K]3 years ago
3 0

Answer:

=0

Step-by-step explanation:


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Write the equation in slope-intercept form for a line that has a y-intercept of -3 and a slope of 6. Use no spaces in your equat
Lilit [14]
This is slope-intercept form y=mx+b
when you substitute it, it becomes y=6x-3
7 0
3 years ago
(1,9);m=-13 this hard for me
levacccp [35]

Answer:

y - 9 = -13(x - 1)

Step-by-step explanation:

sounds as tho you want to find the equation of a line thru the point (1, 9) that has a slope of -13.  Use the point-slope formula y - k = m(x - h) for this purpose.  Here m = -13, h = 1 and k = 9.  Therefore,

y - k = m(x - h) becomes y - 9 = -13(x - 1).  This is the desired equation in point-slope form.

4 0
2 years ago
Find, correct to the nearest degree, the three angles of the triangle with the given vertices. A(1, 0, −1), B(4, −3, 0), C(1
zavuch27 [327]

Answer:

Angle at vertex  A : 59.2° B: 61.7° C : 59.1°

Step-by-step explanation:

1. First find the length of the vectors  

AB = B-A = (4-1, 3-0, 0-1) = (3, 3, -1)

AC = C-A = (1-1, 4-0, 3-1) = (0, 4, 2)

BC = C-B = (1-4, 4-3, 3-0) = (-3, 1, 3)

2. Find magnitude of the vectors

|AB| = √(3^2+3^2+〖(-1)〗^2 )=√19  

|AC| = √(0^2+4^2+2^2 )=2√5

|BC| = √(〖(-3)〗^2+1^2+3^2 )=√19

3. Find the angles between them

cos θ = (a.b)/(|a||b|) -----> θ = arc cos ((a.b)/(|a||b|))

AB, AC : θ =arc cos (AB.AC)/(|AB||AC|) = arc cos ( (3.0+3.4+ -1.2)/(√19  x 2√5)=  10/(2√95) ) =59.136, which is approximately 59.14°

AB, BC : θ =arc cos (AB.BC)/(|AB||BC|) = arc cos( (3.-3+3.1+ -1.3)/(√19  x √19)=  (-9)/19 ) = 118.27°

Because of the direction of BC is pointing relative to AB this is the angle outside the triangle, and we should find the supplementary angle.

180-118.27 = 61.73°

If we used –(BC) = CB in the formula (just negate the numerator) we would have gotten the correct angle on first try.

The 3rd angle should be what’s left after subtracting from 180°;

180-61.73-59.14 = 59.13 °

You can confirm using the formula again :

AC, BC : θ =arc cos (AC.BC)/(|AC||BC|) = arc cos( (0.-3+4.1+ 2.3)/(√19  x 2√5)=  10/(2√95) = 59.13°

Rounding everything up so they add up to 180 degrees we have Angle at vertex  A : 59.2° B: 61.7° C : 59.1°

7 0
3 years ago
In a recent year, 31% of all college students were enrolled part-time. If 8.6 million college students were enrolled part-time t
Ronch [10]

Answer:

28 million college students.

Step-by-step explanation:

We can represent all college students as x. This means that all part-time college students are \frac{31}{100}x. Because all part-time college students are also equal to 8.6 million, we have 8,600,000=\frac{31}{100}x. To find the number of total college students, or x, we have to multiply by 100/31 to get rid of the fraction on the other side:

8,600,00\cdot\frac{100}{31}=x

The left side of the equation evaluates as 27,741,935.5. Because we are asked to round to the nearest million, we have to round to 28 million, which is the closest.

5 0
2 years ago
Solve: 3/K+3 = 8/k-2
fomenos

Answer:

k = 1

Step-by-step explanation:

I will upload a picture with all of my work.

7 0
2 years ago
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