All categories

3 years ago

Solve the following equation for the variable a 2a+b=c-4d

Mathematics

2 answers:

Archy [21]3 years ago

8 0

Answer:

The value of the equation is $a=\frac{c-4d-b}{2}$ .

Step-by-step explanation:

Consider the provided equation.

$2a+b=c-4d$

We need to solve the provided equation for a.

Subtract b from both side.

$2a+b-b=c-4d-b$

$2a=c-4d-b$

Divide both sides by 2.

$\frac{2a}{2}=\frac{c-4d-b}{2}$

$a=\frac{c-4d-b}{2}$

Hence, the value of the equation is $a=\frac{c-4d-b}{2}$ .

Natasha_Volkova [10]3 years ago

6 0

2a+b=c-4d
a= c-4d-b/2

You might be interested in

A ball is thrown into the air and its position is given by h ( t ) = − 6.3 t 2 + 53 t + 24 where h is the height of the ball in

nordsb [41]

Answer:

$h'(t) = -12.6 t +53$

Now we can set up the derivate equal to 0 and we have:

$-12.6 t +53 = 0$

And solving for t we got:

$t = \frac{53}{12.6}= 4.206$

For the second derivate respect the time we got:

$h''(t) = -12.6$

So then we can conclude that t = 4.206 is a maximum for the function.

And the corresponding height would be:

$h(t=4.206) = -6.3(4.206)^2 +53*4.206+24= 135.468 ft$

So the maximum occurs at t = 4.206 s and with a height of 135.468 m

Step-by-step explanation:

For this case we have the following function:

$h(t) = -6.3t^2 +53 t+24$

In order to maximize this function we need to take the first derivate respect the time and we have:

$h'(t) = -12.6 t +53$

Now we can set up the derivate equal to 0 and we have:

$-12.6 t +53 = 0$

And solving for t we got:

$t = \frac{53}{12.6}= 4.206$

For the second derivate respect the time we got:

$h''(t) = -12.6$

So then we can conclude that t = 4.206 is a maximum for the function.

And the corresponding height would be:

$h(t=4.206) = -6.3(4.206)^2 +53*4.206+24= 135.468 ft$

So the maximum occurs at t = 4.206 s and with a height of 135.468 m

8 0

3 years ago

Graph a line that contains the point -6,1 and has a slope of 5

Stells [14]

Answer:

y=5x+31

Step-by-step explanation:

y=mx+b

1=(-6*5)+b

1=-30+b

31=b

y=5x+31

(5*-6)+31

-30+31

you can also graph a line on desmos

7 0

3 years ago

Read 2 more answers

Find the 7th term of a geometric sequence with t1=5 and r = -2.

Shtirlitz [24]

An=Asub1(r)n-¹
=5(-2)7-¹
=5(64)
A7=320

4 0

2 years ago

PLEASE HELP!! 50 POINTS!!

Vadim26 [7]

Answer:

acute scalene

Step-by-step explanation:

acute because all angles below 90 degrees, scalene because no sides are the same length

6 0

1 year ago

Match the solid figure to the appropriate formula.

AlekseyPX

1. $L \cdot A=\pi r l$ - Cone

2. $V=\frac{4}{3} \pi r^{3}$ - Sphere

3. $T \cdot A=2 \pi r h+2 \pi r^{2}$ - Cylinder

4. $V=\frac{1}{3} B h$ - Pyramid

5. $L . A=p h$ - Prism

Solution:

1. $L \cdot A=\pi r l$

Lateral surface area of cone = $\pi r l$

where r is the radius of the cone and l is the slant height of the cone.

2. $V=\frac{4}{3} \pi r^{3}$

Volume of sphere = $\frac{4}{3} \pi r^{3}$

where r is the radius of the sphere.

3. $T \cdot A=2 \pi r h+2 \pi r^{2}$

Total surface area of cylinder = $2 \pi r h+2 \pi r^{2}$

where r is the radius of the cylinder and h is the height of the cylinder.

4. $V=\frac{1}{3} B h$

Volume of pyramid = $\frac{1}{3} B h$

where B is the base area of the pyramid and h is the height of the pyramid.

5. $L . A=p h$

Lateral surface area of prism = $p h$

where p is the perimeter of the base and h is the height of the prism.

4 0

2 years ago