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tangare [24]
4 years ago
14

Draw a rectangular fraction model to find the sum. Simplify your answer, if possible

Mathematics
1 answer:
stiv31 [10]4 years ago
8 0
Just draw a rectangle and hope it's right
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write the equation of the line that passes through the point (-1,-6) and is perpendicular to a line that passes through the poin
Burka [1]

Answer:

y=\frac{2}{3}x-\frac{16}{3}

Step-by-step explanation:

step 1

Find the slope of the given line

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

we have

(-2,5) and (-4,8)

substitute the values in the formula

m=\frac{8-5}{-4+2}

m=\frac{3}{-2}

m=-\frac{3}{2}

step 2

Find the slope of the perpendicular line to the given line

we know that

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)

so

m_1*m_2=-1

m_1=-\frac{3}{2} ----> slope of the given line

therefore

m_2=\frac{2}{3} ---> slope of the perpendicular line to the given line

step 2

Find the equation of the line in point slope form

y-y1=m(x-x1)

we have

m=\frac{2}{3}

point\ (-1,-6)

substitute

y+6=\frac{2}{3}(x+1)

step 3

Convert to slope intercept form

y=mx+b

isolate the variable y

y+6=\frac{2}{3}x+\frac{2}{3}

y=\frac{2}{3}x+\frac{2}{3}-6

y=\frac{2}{3}x-\frac{16}{3}

4 0
4 years ago
andre,rick,and ty were practicing for a track cycling race. andre covered a distance of 750m in 3 min. rick clocked 4 minutees f
FrozenT [24]

Answer:

Ty covered the least distance per min.

Step-by-step explanation:

Who covered the shortest distance per minute, or who rode his bike most slowly?

Andre's rate: (750 m) / (3 min) = 250/3 m/min

Rick's rate:  (800 m) / (4 min) = 200 m/min

Ty's rate:  (950 m) / (5 min) = 190 m/min

Ty was the rider who covered the least distance per minute; his rate was the slowest.

8 0
4 years ago
Read 2 more answers
Please help me with the answer to these. The pictures go together for the problem
MariettaO [177]

Answer:

6.6

Step-by-step explanation:

5 0
3 years ago
Sec-1 4
MaRussiya [10]

Answer:

  1.32

Step-by-step explanation:

Consider ...

  x = sec⁻¹(4) . . . . . the inverse secant function of 4, also written arcsec(4)*

Taking the secant of both sides, we have ...

  sec(x) = 4

Writing this in terms of more familiar functions, it is ...

  1/cos(x) = 4

  cos(x) = 1/4

Now, we can use a calculator to find the inverse function. Be sure the calculator is in the appropriate angle mode. We suspect the desired result is in radians.

  x = cos⁻¹(1/4) ≈ 1.318116

  sec⁻¹(4) ≈ 1.32 . . . . . radians

_____

* One way to read this is "the angle whose secant is 4." This helps remind you that the result is an angle, so can be in degrees or radians (or any of several other angle measures).

8 0
3 years ago
Solve = 3/5k + 7/10 = 11/15k – 2/5​
adoni [48]

i get 11/2 is this wright answer??

3 0
3 years ago
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