All categories

2 years ago

Solve the equation M-4=2m

Mathematics

1 answer:

NemiM [27]2 years ago

4 0

Answer:

m=-4

m-4=2m

m-2m=4 combine like terms

-m=4 change the signs on both sides of the equation

m=-4

You might be interested in

List 2 integers that are congruent to 4 modulo 14.

vivado [14]

Answer:

32, 46

Step-by-step explanation:

Remember, a is congruent to b modulo d if d divides a-b.

Now, the problem says that b=4 and d=14.

Let a=32. Observe that a-b=28 and $\frac{28}{14}=2$ , then 32 is congruent to 4 modulo 14.

Let a=46. Observe that a-b=46-4=42 and $\frac{42}{14}=3$ , then 46 is congruent to 4 modulo 14.

7 0

3 years ago

A rectangle initially has width 7 meters and length 10 meters and is expanding so that the area increases at a rate of 8 square

Tems11 [23]

Answer:

The length of rectangular is increasing at a rate 0.5714 meters per hour.

Step-by-step explanation:

We are given the following in the question:

Initial dimensions of rectangular box:

Length,l = 10 m

Width,w = 7 m

$\dfrac{dA}{dt} = 8\text{ square meters per hour}\\\\\dfrac{dw}{dt} = 40\text{ centimeters per hour} =0.4\text{ meters per hour}$

We have to find the rate of increase of length.

Area of rectangle =

$A = l\times w$

Differentiating we get,

$\displaystyle\frac{dA}{dt} = \frac{dl}{dt}w + \frac{dw}{dt}l$

Putting values, we get,

$8 = \dfrac{dl}{dt}(7) + (0.4)(10)\\\\\dfrac{dl}{dt}(7) = 8 -4\\\\\dfrac{dl}{dt} \approx 0.5714$

Thus, the length of rectangular is increasing at a rate 0.5714 meters per hour.

5 0

2 years ago

PLEASE HELP ME ON THIS THANK U

serg [7]

1. y=1.04+61.92
i think correct answer on the second slide is A

4 0

2 years ago

What is the equation of a line the passes through the point (-1,3) and has a slope of -3?

Molodets [167]

Answer:

Given points ( -1 ,3 ) and slope(m) = -3

Step-by-step explanation:

The equation of a line is given by 

y - y1 = m ( x - x1 )

y - 3 = -3 ( x +1 )

y - 3 = -3x - 3

3x + y -3 +3 =0

3x + y = 0

which is the required equation 

8 0

2 years ago

Given a 30-60-90 triangle with a long leg of 9 in, determine the length of the hypotenuse.

aniked [119]

Answer:

10.38 in

Step-by-step explanation:

Long side would be opposite to 60°.

Since, side opposite to 60° is root 3 upon 2 times of hypotenuse.

$9 = \frac{ \sqrt{3} }{2} \times hypotenuse \\ \\ hypotenuse = \frac{9 \times 2}{ \sqrt{3} } \\ = \frac{18}{ \sqrt{3} } = \frac{18 \sqrt{3} }{3} = 6 \sqrt{3} = 6 \times 1.73 \\ \: \: \: \red{ \bold{hypotenuse = 10.38 \: in}}$

8 0

2 years ago