All categories

3 years ago

Write the equation of the line that is parallel to the line y= -2x+3 and goes through the point (3, -6).

Mathematics

1 answer:

svetlana [45]3 years ago

3 0

Answer:

y=-2

Step-by-step explanation:

because it's parallel --> a=-2

therefore we have y=-2x+b

the line goes through the point (3,-6) --> (-2).3+b=-6 --> b=0

You might be interested in

NO LINKS What is the surface area? 5 cm 8 cm 7 cm square centimeters

sveticcg [70]

Answer:

262 feet²

Step-by-step explanation:

2(5×8 + 5×7 + 8×7)

2(40+35+56)

2(131)

262

---

hope it helps

6 0

3 years ago

Assume that the terminal side of thetaθ passes through the point (negative 12 comma 5 )(−12,5) and find the values of trigonomet

zmey [24]

Answer:

$\sin \theta = \dfrac{5}{13}$ and $\sec \theta = -\dfrac{13}{12}$

Step-by-step explanation:

Assume that the terminal side of thetaθ passes through the point (−12,5).

In ordered pair (-12,5), x-intercept is negative and y-intercept is positive. It means the point lies in 2nd quadrant.

Using Pythagoras theorem:

$hypotenuse^2=perpendicular^2+base^2$

$hypotenuse^2=(5)^2+(12)^2$

$hypotenuse^2=25+144$

$hypotenuse^2=169$

Taking square root on both sides.

$hypotenuse=13$

In a right angled triangle

$\sin \theta = \dfrac{opposite}{hypotenuse}$

$\sin \theta = \dfrac{5}{13}$

$\sec \theta = \dfrac{hypotenuse}{adjacent}$

$\sec \theta = \dfrac{13}{12}$

In second quadrant only sine and cosecant are positive.

$\sin \theta = \dfrac{5}{13}$ and $\sec \theta = -\dfrac{13}{12}$

6 0

4 years ago

Simplify the expression. Show all of your work. 16 plus 4 cubed times 2 divided by 16

frozen [14]

Answer:

528

Step-by-step explanation:

Question: 16 + $4^{3}$ * 2 ÷ 16

Work:

$4^{3}$ = 64

2/16 = 0.125

64/0.125 = 512

512 + 16 = 528

4 0

3 years ago

A staff member at UF's Wellness Center is interested in seeing if a new stress reduction program will lower employees high blood

Pavlova-9 [17]

Answer:

The average blood pressure were higher than after

Step-by-step explanation:

As twenty people are selected and their blood pressure measured. After one month as stress reduction program BP were measured .Confidence interval is 95% so we conduct that blood pressure were higher than after reduction program.

8 0

3 years ago

Read 2 more answers

Subtract-a^2-5ab+3ab^2 from 3a^2-2ab+3b2

sergejj [24]

The correct answer is 4a^2 + 3ab

In order to find this, we can write the equation out as described and then follow the order of operations.

3a^2 - 2ab + 3b^2 - (-a^2 - 5ab + 3b^2) ----> Distribute the negative

3a^2 - 2ab + 3b^2 + a^2 + 5ab - 3b^2 ----> Combine like terms

4a^2 + 3ab

5 0

3 years ago

Read 2 more answers

Write the equation of the line that is parallel to the line y= -2x+3 and goes through the point (3, -6).​

Write the equation of the line that is parallel to the line y= -2x+3 and goes through the point (3, -6).