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3 years ago

Make x the subject of the formula (mx^2=f)

Mathematics

1 answer:

wolverine [178]3 years ago

4 0

Answer:

x = ± $\sqrt{\frac{f}{m} }$

Step-by-step explanation:

Given

mx² = f ( isolate x² by dividing both sides by m )

x² = $\frac{f}{m}$ ( take the square root of both sides )

x = ± $\sqrt{\frac{f}{m} }$

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What is the simplified form of x+5/3x+4 + x+4/x+3

alina1380 [7]

$x + \frac{5}{3}x + 4 + x + \frac{4}{x} + 3 \\ x + \frac{5x}{3}+ 4 + x + \frac{4}{x}+ 3 \\ (x + \frac{5x}{3} + x) + (4 + 3) + \frac{4}{x} \\ x = \frac{11x}{3} + 7 + \frac{4}{x}$

3 0

3 years ago

Find the distance between (-2,-3) and ( 0,3)

12345 [234]

Answer:

(-2,-3)=5

(0,3)=3

Step-by-step explanation:

(-2,-3)=

2+3

(0,3)=

0+3

8 0

3 years ago

Four times the sum of a number and ter is the same as one-hundred added to eight

AfilCa [17]

Answer:

GIVE BRAINLIEST PLZ

I DONT NEED THNX

x = -15

Step-by-step explanation:

1) Four times sum of a number and 10

4(x + 10)

2) is equal to 100 added to 8 times the number

4(x+10) = 8x + 100

x + 10 = 2x + 25

-15 = x

7 0

3 years ago

Complete the equation for the standard form of the line that has an x-intercept of –4 and a y-intercept of 3

Kazeer [188]

Answer:

The equation for the standard form of the line will be:

3x + (-4y) = -12

Step-by-step explanation:

Given

x-intercept = –4

y-intercept = 3

The equation of a line in standard form

Ax + By = C

where A is a positive integer and B, C are integers

We know the equation of a line in slope-intercept form

y = mx+b

where m is the slope and b the y-intercept

To calculate the slope, use the gradient formula

m = y₂-y₁ / x₂-x₁

let

(x₁, y₁) = (-4, 0) ∵ x-intercept = (-4, 0)

(x₂, y₂) = (0, 3) ∵ y-intercept = (0, 3)

m = y₂-y₁ / x₂-x₁

= (3 - 0) / (0 - (-4))

= 3 / 4

Thus, the equation in slope-intercept form:

y = mx+b

y = 3/4x + 3

Writing in standard form

Multiply y = 3/4x + 3 by 4

4y = 3x + 12

3x-4y = -12

3x + (-4y) = -12

Thus, the equation for the standard form of the line will be:

3x + (-4y) = -12

7 0

3 years ago

for a field trip 12 students rode in cars and the rest filled six buses how many students were in each bus if 342 students were

kolezko [41]

Answer:

Step-by-step explanation:

we have 342 students, subtract 12 because we need only kids riding the bus, now we have 330 kids, we divide the 330 kids between 6 buses 330/6, our answer is 55.

4 0

3 years ago