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2 years ago

8

Solve 4x - c= k for x.

2 answers:

lapo4ka [179]2 years ago

7 0

<em>Answer:</em>

<em>x = (k + c)/4</em>

<em>Step-by-step explanation:</em>

<em>4x - c = k</em>

<em>4x = k + c</em>

<em>x = (k + c)/4</em>

Scilla [17]2 years ago

5 0

Answer:

Step-by-step explanation:

4x - c = k...for x

add c to both sides

4x = k + c

divide both sides by 4

x = (k + c) / 4 ...or, could also be x = 1/4k + 1/4c <==

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One more question on this test guys. please answer as fast as possible. If you do,

GaryK [48]

1. The given rectangular equation is $x=2$ .

We substitute $x=r\cos \theta$ .

$r\cos \theta=2$

Divide through by $\cos \theta$

$r=\frac{2}{\cos \theta}$

$r=2}\sec \theta$

$\boxed{x=2\to r=2\sec \theta}$

2. The given rectangular equation is:

$x^2+y^2=36$

This is the same as:

$x^2+y^2=6^2$

We use the relation $r^2=x^2+y^2$

This implies that:

$r^2=6^2$

$\therefore r=6$

$\boxed{x^2+y^2=36\to r=6}$

3. The given rectangular equation is:

$x^2+y^2=2y$

This is the same as:

We use the relation $r^2=x^2+y^2$ and $y=r\sin \theta$

This implies that:

$r^2=2r\sin \theta$

Divide through by r

$r=2\sin \theta$

$\boxed{x^2+y^2=2y\to r=2\sin \theta}$

4. We have $x=\sqrt{3}y$

We substitute $y=r\sin \theta$ and $x=r\cos \theta$

$r\cos \theta=r\sin \theta\sqrt{3}$

This implies that;

$\tan \theta=\frac{\sqrt{3}}{3}$

$\theta=\frac{\pi}{6}$

$\boxed{x=\sqrt{3}y\to \theta=\frac{\pi}{6}}$

5. We have $x=y$

We substitute $y=r\sin \theta$ and $x=r\cos \theta$

$r\cos \theta=r\sin \theta$

This implies that;

$\tan \theta=1$

$\theta=\frac{\pi}{4}$

$\boxed{x=y\to \theta=\frac{\pi}{4}}$

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2 years ago

Is this perpendicular or parallel or neither y = -4/5x+3 And 4x -5y=-15

aleksley [76]

This would be perpendicular

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2 years ago

A quadratic function has its vertex at the point (- 3, 8) . The function passes through the point (0, 0) . When written in verte

SIZIF [17.4K]

Answer:

f(x) = -8/3(x+3)+8

a = -8/3

b = technically equals -3 but when we plug it in it gets turned into 3 *double negative

k = 8

Step-by-step explanation:

Vertex: (h,k)

Use the points (0,0) and (-3,8) to find the slope

y2-y1/x2- x1

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2 years ago

A line with a slope of -8/3

strojnjashka [21]

Answer:

y = - $\frac{8}{3}$ x + 10

Step-by-step explanation:

The equation of a line in slope- intercept form is

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

Here m = - $\frac{8}{3}$ and crosses the y- axis at (0, 10 ) ⇒ c = 10

y = - $\frac{8}{3}$ x + 10 ← equation of line

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2 years ago

Zoe has 5 pounds of potatos she has multiple recipes that require 3/4 pound of potatoes how many recipes will she be able to mak

Natali [406]

Amount of potatoes that Zoe has = 5 pounds
Quantity of potatoes that Zoe need for each recipe = 5/(3/4)
= 5 * (4/3)
= 20/3
= 6 2/3
From the above deduction, we can conclude that only 6 recipes can be made. The remaining amount of 2/3 will remain unused. I hope the procedure is clear enough for you to understand.

5 0

2 years ago

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