Write a factor that you can use to rationalize the denominator of 4 6

A submarine sits at –300 meters in relation to sea level. Then it descends 115 meters. What is its new position in relation to s

Dovator [93]

Answer:

-415 feet

Step-by-step explanation:

-300-115 = -415

7 0

3 years ago

What is the equation in point slope form of the line that passes through the point (-1, -3) and has a slope of 4?

AnnZ [28]

Answer:

$\displaystyle y + 3 = 4(x + 1)$

Step-by-step explanation:

In the Point-Slope Formula [y - y₁ = m(x - x₁)], all the negative symbols give the OPPOSITE terms of what they really are, so be EXTREMELY CAREFUL inserting the coordinates into the formula with their CORRECT SIGNS.

I am joyous to assist you anytime.

7 0

3 years ago

Mark the statements that are true. A. An angle that measures π/4 radians also measures 45°. B. An angle that measures 180° also

FinnZ [79.3K]

Answer:

TRUE: A, B, C

False: D

Step-by-step explanation:

A full circle of 360° has a radian measure of 2π radians. The relationship is proportional, so π radians is 180°.

__

A. An angle that measures π/4 radians also measures 45°. TRUE

45° × π/180° radians = π/4 radians

B. An angle that measures 180° also measures π radians. TRUE

180° × π/180° radians = π radians

C. An angle that measures 60° also measures π/3 radians. TRUE

60° × π/180° radians = π/3 radians

D. An angle that measures π/3 radians also measures 30°. FALSE

30° × π/180° radians = π/6 radians

5 0

2 years ago

On Fridays, Jerry stops at Steak & Taco Shack before he goes home. This week

Vika [28.1K]

Answer:

Steak sandwich = x = 4

Cheese fries = y = 1.75

Taco salad = z = 2

Step-by-step explanation:

Let :

Steak sandwich = x

Cheese fries = y

Taco salad = z

This week:

x + 2y + 2z = 11.50 - - - - (1)

Last week :

2x + 3y + z = 15.25 - - - (2)

Two weeks ago :

x + 4y + z = 13 - - - - - (3)

Taking (1) and (2)

x + 2y + 2z = 11.50 ___(1)

2x + 3y + z = 15.25 ___(2)

Multiply (1) by 2 and (2) by 1 and subtract

2x + 4y + 4z = 23

2x + 3y + z = 15.25

_______________

y + 3z = 7.75 - - - - (4)

Taking (2) and (3)

2x + 3y + z = 15.25 - - (2)

x + 4y + z = 13 - - - - - (3)

Multiply (2) by 1 and (3) by 2 and subtract

2x + 3y + z = 15.25

2x + 8y + 2z = 26

______________

-5y - z = - 10.75 - - - - - (5)

Lets solve (4) and (5)

y + 3z = 7.75 - - - - (4) - - - multiply by 5

-5y - z = - 10.75 - - - - - (5) - - - multiply by 1

Then add the result :

5y + 15z = 38.75

-5y - z = - 10.75

____________

14z = 28

z = 28 / 14

z = 2

To find y ; put z = 2 in (4)

y + 3z = 7.75

y + 3(2) = 7.75

y + 6 = 7.75

y = 7.75 - 6

y = 1.75

From equation 3 ;

x + 4y + z = 13 - - - - - (3)

x + 4(1.75) + 2 = 13

x + 7 + 2 = 13

x + 9 = 13

x = 13 - 9

x = 4

Hence,

Steak sandwich = x = 4

Cheese fries = y = 1.75

Taco salad = z = 2

5 0

3 years ago

Charmaine's Coffee shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Charmaine $5.75 per pound, a

DIA [1.3K]

Type A = $5.75 per pound
Type B = $4.55 per pound

1 set → 1 pound of Type A + 4 pounds of type B
1 set → 5.75 + 4(4.55)
1 set → $23.95

Number of sets = $526.90 ÷ 23.59 = 22

1 set → 1 pound of Type A
22 sets → 1 x 22 = 22 pounds of type A

Answer: 22 pounds of Type A

5 0

3 years ago