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Effectus [21]
3 years ago
6

Calculate the slope of the points (2,1) and (3,4). show all your work.

Mathematics
1 answer:
Angelina_Jolie [31]3 years ago
3 0

Answer:

The slope of this line would be 3.

Step-by-step explanation:

To find the slope of any line, use the slope formula and the points given.

m(slope) = (y2 - y1)/(x2 - x1)

m = (4 - 1)/(3 - 2)

m = 3/1

m = 3

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16. Suppose Eva has 12 3/4 pounds of flour. The day's baking will require triple that amount.
egoroff_w [7]

Answer:

Option D

Step-by-step explanation:

Given the following question:

12 \frac{3}{4} \times3

In order to find the answer, we have to convert the mixed number and then multiply by three, since how Eva needs triple the amount for today's baking.

12 \frac{3}{4} \times3
12\frac{3}{4} =4\times12=48+3=51=\frac{51}{4}
3=\frac{3}{1}
\frac{51}{4} \times\frac{3}{1}
51\times3=153
4\times1=4
=\frac{153}{4}

<u>Convert the improper fraction back into a mixed number:</u>

\frac{153}{4}
\frac{153}{4} =153\div4=38\frac{1}{4}
=38\frac{1}{4}

Which means Eva needs "38 1/4 pounds of flour" or option D for today's baking.

3 0
3 years ago
How to solve these two problems ?
puteri [66]

8)  \theta is -0.896 radians

9) length of arc is 41.91 cm

Solution:

8)

Given that,

tan\ \theta = \frac{-5}{4}

\theta is in quadrant 4

To find: \theta

From given,

tan\ \theta = \frac{-5}{4}\\\\\theta = tan^{-1} \frac{-5}{4}\\\\\theta = tan^{-1} (-1.25)\\\\\theta = -51.34

Thus value of \theta is -51.34 degrees

Convert degrees to radians

-51.34\ degree = -51.34 \times \frac{ \pi }{180}\ radian\\\\-51.34\ degree = -0.896\ radian

Thus \theta is -0.896 radians

9)

From given,

radius = 15.4 cm

\theta = \frac{13 \pi }{15}

<em><u>The length of arc when angle in radians is:</u></em>

arc\ length = r \times \theta\\\\arc\ length = 15.4 \times \frac{ 13 \pi }{15}\\\\arc\ length = 15.4 \times 2.721\\\\arc\ length = 41.91

Thus length of arc is 41.91 cm

4 0
3 years ago
What is the value of x -6/7=-x/84?
AURORKA [14]

Answer:

x = 72 / 85

Step-by-step explanation:

x -6/7=-x/84

x + x/84 = 6/7

84/84x + 1/84x = (12*6) / (12*7)

85/84x = ( 72 ) / ( 84 )

85/84x = 72 / 84

Multiply left and right from the = sign by 84/85 and you do that so you get a division ON THE LEFT SIDE that equals as 1... See how it works:

84/85 * { 85/84 } * x = 84/85 * { ( 72 ) / ( 84 ) }

{ (84 * 85) / ( 85 * 84) } * x = ( 84 * 72 ) / ( 85 * 84 )

(7140) / ( 7140) * x =. ( 6048 ) / ( 7140)

x = 6048 / 7140

x = 72 / 85

6 0
3 years ago
C is the midpoint of AD. B is the midpoint of AC. BC = 12. What is the length of AD
kvasek [131]
48 I would believe is the answer
6 0
3 years ago
Read 2 more answers
With a line 7 cm long. Use a set square and a ruler and draw perpendicular lines at both ends
Setler79 [48]

Answer:

See Explanation

Step-by-step explanation:

According to the Question,

Steps of construction:

  • Step I - Draw a line segment AB = 7 cm with the help ruler.
  • Step II - with vertex A, by using compass take more than half of AB and draw arcs, one on each side of AB.
  • Step III - with vertex B, by using a compass with the same length, cut the previous arcs at X and Y respectively.
  • Step IV - with help of the ruler join the points X and Y Thus XY is the perpendicular bisector of line AB.

(For Diagram please find in attachment)

5 0
3 years ago
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