All categories

3 years ago

Write the equation 2y - 4x = 5 in the form y = mx + b

Mathematics

2 answers:

KatRina [158]3 years ago

7 0

2y - 4x = 5.....add 4x to both sides
2y = 4x + 5....divide both sides by 2
y = 2x + 5/2 <==

Aloiza [94]3 years ago

4 0

Note the equal sign. What you do to one side, you do to the other. Isolate the y. Add 4x to both sides

2y - 4x (+4x) = 5 (+4x)

2y = 4x + 5

Next, divide 2 from both sides

(2y)/2 = (4x + 5)/2

y = 2x + 2.5

hope this helps

You might be interested in

NutritionCalc Plus uses the equations from the National Academy of Medicine to calculate the Estimated Energy Requirement (EER)

olga nikolaevna [1]

Answer:

The correct option is (A).

Step-by-step explanation:

The equation for the Estimated Energy Requirement (EER) of 19 or more years older men is:

$EER = 662 - (9.53 \times AGE) + PA \times (15.91 \times WT + 539 \times HT)$

Here,

AGE = age counted in years

PA = appropriate physical activity factor

WT = weight in kilograms

HT = height in meters

The physical activity factor for men and women is:

Activity Level PA (men) PA (Women)

Sedentary 1.00 1.00

Low 1.11 1.12

Active 1.25 1.27

Very Active 1.48 1.45

Given:

AGE = 22 year-old male college student

PA = low = 1.11

WT = 180 pounds = 81.6466 kg

HT = 5'10" = 1.778 m

Compute the value of EER as follows:

$EER = 662 - (9.53 \times AGE) + PA \times (15.91 \times WT + 539 \times HT)$

$= 662 - (9.53 \times 22) + 1.11 \times (15.91 \times 81.6466 + 539 \times 1.778)\\\\=662-209.66+1.11\times (1298.997406+958.342)\\\\=452.34+2505.64674066\\\\=2957.98674066\\\\\approx 2962$

Thus, the EER for a 22-year-old male college student is approximately 2962 kcal.

The correct option is (A).

6 0

3 years ago

Pentagon CDEFG is shown on the coordinate plane. Pentagon CDEFG is translated 7 units up and 5 units left, resulting in C'D'E'F'

Sati [7]

Answer:

The length of line segment FG is equal to the length of F'G'

The perimeter of pentagon CDEFG is equal to the perimeter of pentagon C'D'E'F'G.

Step-by-step explanation:

Given

CDEFG and C'D'E'F'G

Translation: 7 units up and 5 units left

Solving (a): Segment FG and F'G'

When a shape is translated, the resulting image will have the same lengths as the original image (i.e, translation does not change measurements)

Hence:

$FG = F'G'$

Solving (b): Perimeter CDEFG and C'D'EF'G'

In (a), we established that lengths do not change during translation;

Hence:

The perimeter of the CDEFG and C'D'EF'G' will remain the same

3 0

3 years ago

What is the true solution to the equation below? 2 in e in2×-in e in 10×= in 30 A x=30 B x=75 C x=150 D x=300

hodyreva [135]

Answer:

Option B.

Step-by-step explanation:

Let as consider the given equation:

$2\ln e^{\ln 2x}-\ln e^{\ln 10x}=\ln 30$

It can be written as

$2(\ln 2x)-(\ln 10x)=\ln 30$ $[\because \ln e^a=a]$

$\ln (2x)^2-(\ln 10x)=\ln 30$ $[\because \ln a^b=b\ln a]$

$\ln \dfrac{4x^2}{10x}=\ln 30$ $[\because \ln \dfrac{a}{b}=\ln a-\ln b]$

$\ln \dfrac{2x}{5}=\ln 30$

On comparing both sides, we get

$\dfrac{2x}{5}=30$

Multiply both sides by 5.

$2x=150$

Divide both sides by 2.

$x=75$

Therefore, the correct option is B.

7 0

4 years ago

5 grams = <br> centigrams

ycow [4]

Answer:

500

Step-by-step explanation:

a centigram is 100 so 5x100=500

5 0

3 years ago

Read 2 more answers

Write the equation of a line that is perpendicular to y= 2/3x + 3 and passes through the point (4, -8).

exis [7]

Answer:

Step-by-step explanation:

Perp. : -3/2

y + 8 = -3/2(x - 4)

y + 8 = -3/2x + 6

y = -3/2x - 2

5 0

3 years ago