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3 years ago

15. Which of the following equations was

Mathematics

1 answer:

arlik [135]3 years ago

3 0

Answer:

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c (m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 6) and (x₂, y₂ ) = (6, 0)

m = $\frac{0-6}{6-0}$ = $\frac{-6}{6}$ = - 1

Note the line crosses the y- axis at (0, 6 ) ⇒ c = 6

y = - x + 6 or y = 6 - x ⇒ B

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Please explain how you got your answer.

lyudmila [28]

Answer:

1,500 points per minute

Step-by-step explanation:

the first point where lines intersect is at 2,3 meaning at 1 it is 1.5 meaning 1500 points

4 0

2 years ago

Does anyone know the answer for the question below.

8090 [49]

Answer: option C

Step-by-step explanation:

The diagram of the triangle is shown in the attached photo. The triangle is a right angle triangle ABC

Assuming the given angle is #,

Recalling the trigonometric ratio,

tan # = opposite / adjacent

If tan # = 4, it means

opposite / adjacent = 4/1

Therefore, opposite = 4 and adjacent = 1

Applying Pythagoras theorem,

Hypotenuse^2 = opposite ^2 + adjacent ^2

Hypotenuse = AC

Opposite = 4

Adjacent = 1

AC^2 = 4^2 + 1^2 = 17

AC = ± √17

To determine cos #, we would apply another trigonometric ratio,

Cos# = adjacent /hypotenuse

Cos# = 1/±√17

Cos # =-1 /√17 or 1/√17

8 0

3 years ago

A rocket is 1 mile above the earth in 30 seconds and 5 miles above the earth in 2.5 minutes. What is the rockets rate of change

tamaranim1 [39]

The rockets rate of change in miles per second is: (5 - 1)/(2.5*60 - 30) = 1/30 miler per second or 0.033 the rockets rate of change in miles per minute is: (5 - 1)/(2.5 - 30/60) = 2 miles per minute

6 0

3 years ago

X+ y + z = -3 3y - Z = 4 2x- y - 2z = -5

snow_lady [41]

Answer:

(-3, 1, -1)

Step-by-step explanation:

x + y + z = -3 --> (1)
3y - z = 4 --> (2)
2x - y - 2z = -5 --> (3)

Add up (1) and (2)

x + 3y + y + z - z = -3 + 4 ⇒ x + 4y = 1 --> (4)

Double (2) and subtract from (3)

2x - y - 2z - 2(3y - z) = -5 - 2(4) ⇒ 2x - y - 2z - 6y + 2z = -5 - 8
2x - 7y = -13 --> (5)

Double (4) and subtract (5)

2(x + 4y) - 2x + 7y = 2 + 13 ⇒ 2x + 8y - 2x + 7y = 15 ⇒ 15y = 15 ⇒ y = 1

Finding x

x + 4(1) = 1 ⇒ x = 1 - 4 ⇒ x = -3

Finding z

-3 + 1 + z = -3 ⇒ z = -1

So the answer is:

(-3, 1, -1)

4 0

3 years ago

-4/7 + 2/7x - 14x + 4/7

alexgriva [62]

Answer:

The solved given expression is

$\frac{-4}{7}+\frac{2}{7}x-14x+\frac{4}{7}=\frac{-96x}{7}$

Step-by-step explanation:

Given expression is $\frac{-4}{7}+\frac{2}{7}x-14x+\frac{4}{7}$

To solve the given expression :

$\frac{-4}{7}+\frac{2}{7}x-14x+\frac{4}{7}$

$=\frac{-4+4+2x}{7}-14x$

$=\frac{0+2x}{7}-14x$

$=\frac{2x}{7}-14x$

$=\frac{2x-14x(7)}{7}$

$=\frac{2x-98x}{7}$

$=\frac{-96x}{7}$

Therefore $\frac{-4}{7}+\frac{2}{7}x-14x+\frac{4}{7}=\frac{-96x}{7}$

Therefore the solved given expression is

$\frac{-4}{7}+\frac{2}{7}x-14x+\frac{4}{7}=\frac{-96x}{7}$

5 0

3 years ago