What is 1.405 as a fraction?

Write an equation of the line that passes through the given point and is parallel to the given line.

Margaret [11]

Answer:

Part 40) $y=-2x+9$

Part 41) $y=5x+6$

Part 42) $y=\frac{2}{3}x+\frac{4}{3}$

Step-by-step explanation:

Remember that

If two lines are parallel, then their slopes are the same

Part 40) Write an equation of the line that passes through the given point

and is parallel to the given line

we have

Point (4,1)

Given line y=-2x+7

step 1

Find the slope of the given line

The given line is a equation of the line in slope intercept form

$y=mx+b$

where

m is the slope

b is the y-intercept

so

The slope of the given line is

$m=-2$

step 2

Find the y-intercept b

we have

$m=-2$

$(4,1)$

substitute in the linear equation

$1=(-2)4+b$

solve for b

$b=1+8$

$b=9$

step 3

Find equation of the line that passes through the given point and is parallel to the given line

we have

$m=-2$

$b=9$

substitute

The equation of the line is

$y=-2x+9$

Part 41) Write an equation of the line that passes through the given point

and is parallel to the given line

we have

Point (0,6)

Given line y=5x-3

step 1

Find the slope of the given line

The given line is a equation of the line in slope intercept form

$y=mx+b$

where

m is the slope

b is the y-intercept

so

The slope of the given line is

$m=5$

step 2

Find the y-intercept b

$b=6$ ----> because the y-intercept is the point (0,6) (value of y when the value of x is equal to zero)

step 3

Find equation of the line that passes through the given point and is parallel to the given line

we have

$m=5$

$b=6$

substitute in the linear equation

$y=5x+6$

Part 42) Write an equation of the line that passes through the given point

and is parallel to the given line

we have

Point (-5,-2)

Given line y=(2/3)x+1

step 1

Find the slope of the given line

The given line is a equation of the line in slope intercept form

$y=mx+b$

where

m is the slope

b is the y-intercept

so

The slope of the given line is

$m=\frac{2}{3}$

step 2

Find the y-intercept b

we have

$m=\frac{2}{3}$

$(-5,-2)$

substitute in the linear equation

$-2=(\frac{2}{3})(-5)+b$

solve for b

$-2=-\frac{10}{3}+b$

$b=-2+\frac{10}{3}$

$b=\frac{4}{3}$

step 3

Find equation of the line that passes through the given point and is parallel to the given line

we have

$m=\frac{2}{3}$

$b=\frac{4}{3}$

substitute

The equation of the line is

$y=\frac{2}{3}x+\frac{4}{3}$

3 0

3 years ago

Classify the triangle.

adell [148]

Answer: Triangles can also be classified by their angles. In an acute triangle all three angles are acute (less than 90 degrees). A right triangle

Step-by-step explanation:Classification of triangles according to the length of their sides · Isosceles triangle · Equilateral triangle · Scalene Triangle.

3 0

2 years ago

Why do the B & A come first in the<br> products?

marta [7]

Because they do if you times the radius by the diameter

3 0

3 years ago

Among the licensed drivers in the same age group, what is the probability that

GarryVolchara [31]

Answer:

"12.5%?"

Step-by-step explanation:

before you use my answer use other peoples answers. I'm not good at som questions, sorry.

3 0

3 years ago

Read 2 more answers

A

grandymaker [24]

Answer:

2 seconds
72 feet

Step-by-step explanation:

The usual equation used for the vertical component of ballistic motion is ...

h(t) = -16t² +v₀t +h₀

where v₀ is the initial upward velocity, and h₀ is the initial height. Units of distance are feet, and units of time are seconds.

Your problem statement gives ...

v₀ = 64 ft/s

h₀ = 8 ft

so the equation of height is ...

h(t) = -16t² +64t +8

__

For quadratic ax² +bx +c, the axis of symmetry is x=-b/(2a). Then the axis of symmetry of the height equation is ...

t = -64/(2(-16)) = 2

The object will reach its maximum height after 2 seconds.

The height at that time will be ...

h(2) = -16(2²) +64(2) +8 = 72

The maximum height will be 72 feet.

5 0

3 years ago