MATHEMATICS HIGH SCHOOL

Which is an equation for a line that passes through (0,-3) and is perpendicular to the graph of the line y = 2 x - 3?

Answers

Answer 1
Answer:

Answer:

y = - (1)/(2) x - 3

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 )

y = 2x - 3 ← is in slope- intercept form

with slope m = 2

Given a line with slope m then the slope of a line perpendicular to it is

m_(perpendicular) = - (1)/(m) = - (1)/(2)

The line crosses the y- axis at (0, - 3) ⇒ c = - 3

y = - (1)/(2) x - 3 ← equation of perpendicular line

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A pulley with a radius of 8 inches rotates three times every five seconds. Find the angular velocity of the pulley in radians/sec (round to the nearest hundredth). Find the linear velocity to the nearst ft/hr. 
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You want to decorate a party hall with a total of least 40 red and yellow baloons. You want a minimum of 25 yellow baloons. Write and graph

Answers

there is 75 balls and thats the answer
40-25=15 red balloons. 

Find the value or values of p in the quadratic equation p2+13p-30=0

Answers

This is an examination to test your level of skill. By asking this quesiton to others, you do not show your true level and maybe be placed in a higher math than you are able.





factor
remember
if ab=0
assume that a and/or b=0


p^2+13p-30=0
fidn what 2 numbers add to 13 and multiply to -30
15 and -2
(p+15)(p-2)=0

set each to zero
p+15=0
p=-15

p-2=0
p=2

the roots are p=-15 and/or 2

Given that x+1 is a factor of 3x³-14x²-7x+d, show that d= 10

Answers

Answer:

3x³ - 14x² - 7x + d = (x + 1)(ax² + bx + c)

--------------------------

  (x + 1)(ax² + bx + c)  

= ax³ + bx² + cx + ax² + bx + c

= ax³ + (a + b)x² + (b + c)x + c

--------------------------

ax³ + (a + b)x² + (b + c)x + c = 3x³ - 14x² - 7x + d

=> a = 3

    a + b = -14

    b + c = -7

    c = d

=> a = 3, b = -17, c = 10, d = 10

The largest state in the US is Alaska, covering 663,267 square miles (including water). What is the approximate radius of a sphere with the same surface area as the area of Alaska?

Answers

So we wan't to calculate the radius of a sphere that has the area of Alaska that is A=663.267 square miles. First, lets see what is the formula for the area of the sphere: A= 4*pi*r^2. Here we can solve the equation to get the radius: r^2=A/(4*pi) and the last step is: r= sqrt ( A/(4*pi) ). After we input the numbers we get: r= 224.54 miles.

Answer:

answer is C

Step-by-step explanation:

PLEASE HELP!!! 60 points will be rewarded to the person that answers this question correctly. The two figures below have the same perimeter. What is the value of x?

1. Write an equation that can be used to represent the situation above

2. Solve the equation

3. Prove the solution by plugging it into both sides of the equation

Answers

Answer:

3 or 5

Step-by-step explanation:

Because follow the problem

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Answers

6x^3:(x+2)\n\nw(x)=6x^3\ remainder\ of\ 6x^2:(x+2)\ equal\ w(-2)\n\nw(-2)=6\cdot(-2)^3=6\cdot(-8)=-48\leftarrow answer
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