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3 years ago

6

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

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