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3 years ago

K/a = w - v, solve for a

Mathematics

1 answer:

erik [133]3 years ago

4 0

Answer:

a=k-w+v

Step-by-step explanation:

k/a= w-v

a( k/a) = a (w-v)

k -w + v =a

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Write an equation of the line that is perpendicular to 3x - 4y equals 9 + contains (-4, -5)

Inga [223]

Slope-Intercept Form: y = mx+b, with m = slope and b = y-intercept

So perpendicular lines have slopes that are negative reciprocals to each other, but firstly we need to find the slope of the original equation. The easiest method to find it is to convert this standard form into slope-intercept.

Firstly, subtract 3x on both sides of the equation: $-4y=-3x+9$

Next, divide both sides by -4 and your slope-intercept form of the original equation is $y=\frac{3}{4}x-\frac{9}{4}$

Now looking at this equation, we see that the slope is 3/4. Now since our new line is perpendicular, this means that its slope is -4/3.

Now that we have the slope, plug that into the m variable and plug in (-4,-5) into the x and y coordinates to solve for the b variable as such:

$-5=-\frac{4}{3}*-4+b\\\\-5=5\frac{1}{3}+b\\\\-10\frac{1}{3}=b$

In short, your new equation is y = -4/3x - 10 1/3.

3 0

3 years ago

Read 2 more answers

Suppose a flare is shot from the top of a 120 foot building at a speed of 160 feet per second. The equation h = ?16t + 160t + 12

insens350 [35]

Answer:

The time taken for the flare to hit the ground is approximately 10.7 seconds.

Step-by-step explanation:

Given : Suppose a flare is shot from the top of a 120 foot building at a speed of 160 feet per second. The equation $h =- 16t^2+ 160t + 120$ models the h height at t seconds of the flare.

To find : How long will it take for the flare to hit the ground?

Solution :

The equation $h =- 16t^2+ 160t + 120$ models the h height at t seconds of the flare.

The flare to hit the ground when h=0.

Substitute in the equation,

$-16t^2+ 160t + 120=0$

Applying quadratic formula, $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

Where, a=-16, b=160 and c=120

$x=\frac{-160\pm\sqrt{160^2-4(-16)(120)}}{2(-16)}$

$x=\frac{-160\pm\sqrt{33280}}{-32}$

$x=\frac{-160\pm 182.42}{-32}$

$x=\frac{-160+182.42}{-32},\frac{-160-182.42}{-32}$

$x=−0.70,10.70$

Reject the negative value.

Therefore, the time taken for the flare to hit the ground is approximately 10.7 seconds.

4 0

2 years ago

Find the angle measure that makes the statement true. Sin 25° = Cos ____ °

givi [52]

Since the sine and cosine functions are cofunctions, they are complementary. The format for this is that sinx=cos(90-x). This works for secant and cosecant and tangent and cotangent. So, sin25°=cos65°.

5 0

3 years ago

Solve for x: 5|2x − 2| + 8 = 18.

Tju [1.3M]

Remember
|x| makes x posotive
5|2x-2|+8=18
minus 8 both sides
5|2x-2|=10
divide both sides by 5
|2x-2|=2
assume
2x-2=2 and 2x-2=-2

2x-2=2
add 2
2x=4
divide 2
x=2

2x-2=-2
add 2
2x=0
x=0

x=0 or x=2

3rd choice

5 0

3 years ago

Judy has 8 candy bars. She wants to give 1/3 of a candy bar to everyone in her class. does she have enough for all 24 students?

Alex17521 [72]

Answer:

yes

Step-by-step explanation:

Think of it like this: if ever candy is split in 3 we can multiply 8 time 3 to see the total amount of piece that she can give. 8×3=24 which exactly enough for one per each student.

6 0

2 years ago

Read 2 more answers