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3 years ago

Drag each equation to the correct location on the table.

Mathematics

1 answer:

Ludmilka [50]3 years ago

8 0

Step-by-step explanation:

1) x - 5 = - 2

x = - 2 + 5

x = 3

2) - 6 + x = - 9

x = - 9 + 6

x = - 3.

3) x/4 = 6/8

Cross multiply

8x = 24

x = 24/8 = 3

4) - 14x = - 42

x = - 42/-14

x = 3

5) - 3/5 + x = 12/5

x = 12/5 + 3/5

x = 15/5 = 3

6) x/3 = 9

x / 3 - 9

x - 3

x = 3

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Anzelm wants to burn 540 calories while jogging. Jogging burns about 12 calories per minute. When Anzelm goes jogging, he usuall

kow [346]

Anzelm wants to burn 540 calories while jogging. Jogging burns about 12 calories per minute.

he usually plans to stop and rest for about 5 minutes.

m represents the total minutes.

12 calories per minute.

for m minutes the calories burn is 12m

He stop and rest for about 5 minutes. so we need to subtract 5 from total minutes

So expression becomes 12(m-5)

He wants to burn 540 calories. So we set the calories = 540

The equation becomes ,

12(m-5) = 540

Now we solve for m , total number of minutes

12(m-5) = 540(divide by 12 on both sides)

m - 5 = 45

m = 50 ( add 5 on both sides)

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4 years ago

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Q6: Which is the graph of the polar equation r=1/1-sin theta.

AveGali [126]

Answer:

The correct answer is C.

Step-by-step explanation:

The given equation is;

$r=\frac{1}{1-\sin(\theta)}$

This implies that;

$r(1-\sin(\theta)=1$

$r-r\sin(\theta)=1$

Let us write in Cartesian coordinates by substituting;

$r=\sqrt{x^2+y^2} ,y=r\sin(\theta)$

$\sqrt{x^2+y^2}-y=1$

$\sqrt{x^2+y^2}=y+1$

Square both sides;

$(\sqrt{x^2+y^2})^2=(y+1)^2$

This implies that;

$x^2+y^2=y^2+2y+1$

$x^2=2y+1$

$y=\frac{1}{2}x^2-\frac{1}{2}$

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The correct choice is C

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4 years ago

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trapecia [35]

Answer:

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Step-by-step explanation:

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8 0

3 years ago

Help on this sh*t from 2-6

zlopas [31]

Answer:

1. x = 15, y = 8

2. m∠MSN = 90°

3. x = 20

4. y = 9

5. x = 8, m∠PQS = 24, m∠SQR = 66

6. y = 15, m∠RPT = 55, m∠TPW = 35

Step-by-step explanation:

1. to solve for y

9y + 18 = 90

9y + 18 - 18 = 90 - 18

9y = 72

9y/9 = 72/9

y = 8

to solve for x

5x + x = 90

6x = 90

6x/6 = 90/6

x = 15

2. m∠MSN = 90°, because ∠MSN is a right angle, which is equal to 90

3. To find x

3x + 10 + x = 90

3x + x = 4x

4x + 10 = 90

4x + 10 - 10 = 90 - 10

4x = 80

4x/4 = 80/4

x = 20

4. To find y

7y - 3 + 3y + 3 = 90

7y + 3y = 10

-3 + 3 = 0

10y = 90

10y/10 = 90/10

y = 9

5. To find x

3x + 8x + 2 = 90

3x + 8x = 11x

11x + 2 = 90

11x + 2 - 2 = 90 -2

11x = 88

11x/11 = 88/11

x = 8

To find ∠PQS

∠PQS = 3x

x = 8

so 3(x) = 3(8)

3(8) = 24

so ∠PQS = 24

To find ∠SQR

∠SQR = 8x + 2

x = 8

so ∠SQR = 8(x) + 2 = 8(8) + 2

8(8) + 2

= 64 + 2

= 66

6. To find y

4y - 5 + 2y + 5 = 90

4y + 2y = 6y

-5 + 5 = 0

6y = 90

6y/6 = 90/6

y = 15

To find ∠RPT

∠RPT = 4y - 5

y = 15

so ∠RPT = 4y - 5 = 4(15) - 5

4(15) - 5

= 60 - 5

= 55

To find ∠TPW

∠TPW = 2y + 5

y = 15

so ∠TPW = 2y + 5 = 2(15) + 5

2(15) + 5

= 30 + 5

= 35

7 0

3 years ago