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2 years ago

The equation of the line which passes through the point (0,5) and has a gradient of 4 is

Mathematics

1 answer:

const2013 [10]2 years ago

6 0

Answer:

y = 4x + 5

Step-by-step explanation:

slope = m = 4

y-intercept = b = 5

y = mx + b

y = 4x + 5

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Explain why solving the equation - 3n - 4 = 2 is different from solving the

Klio2033 [76]

Answer:

Step-by-step explanation:

First get the answer to -3n - 4 = 2

-3n - 4 + 4 = 2 + 4

-3n = 6

n = 6/-3

n = -2

That answer is the only one that is permitted. It is the only one that completely satisfies the equation.

Now when you do the inequality, look what happens.

-3n - 4 < 2 Add 4 to both sides.

-3n-4+ 4 < 2+4

-3n < 6 Now there are a bunch of ways (2) to solve this.

No matter which way you do it, the arrow will change.

-3n/-3 > 6/-3

n > - 2

That means that any number that is greater than - 2 will satisfy the inequality.

So n = 0 will work. Even n = - 1 will work. Anything bigger than -2 will work. The equation does not provide that kind of latitude.

7 0

2 years ago

A department store is having a 55% off sale on all sport coats. If you have a coupon for an additional 10% off of any item, how

vlabodo [156]

93.15 would be the answer

8 0

3 years ago

2x + 8 2 + 3 7x + 21 . x +4

exis [7]

Answer:

$60x + 86$

Step-by-step explanation:

7 0

3 years ago

By what factor must you multiply a number in order to triple its square root?

LiRa [457]

To solve the problem shown above you must apply the following proccedure:

1. Let's call:

x: a number.
f: the factor.

2. Then, you have:

√fx=3√x

3. You must clear the factor "f" to calculate its value, as below:

√fx=3√x
(√fx)²=(3√x)²
fx=9x
f=9x/x

4. Then, the factor is:

f=9

5. Therefore, by what factor must you multiply a number in order to triple its square root?

The answer is: 9

4 0

3 years ago

The circumference of a circle is 7π m. what is the area

Helen [10]

Answer: 38.4845100065m²

when rounded to the nearest tenth: 38.5m²

when rounded to the nearest hundredth: 38.48m²

when rounded to the nearest thousandth: 38.485m²

Step-by-step explanation:

the formula for finding the area of a circle is $A = \pi r^{2}$ , where A = area and r = the radius of the circle.

since you're only given the circumference, we need to calculate the radius of the circle before we can find the area.

to find the radius of a circle, you can either divide the measure of the diameter by 2 OR use the formula $r=\frac{C}{2\pi}$ where r = radius and C = circumference.
because there is no given diameter measurement in your question, the best way to find the radius is to use the formula $r=\frac{C}{2\pi}$ .

first, plug the given values into the equation.

since $7\pi$ is the given circumference, plug in $7\pi$ for $C$ .

$r=\frac{C}{2\pi}$ ⇒ $r=\frac{7\pi}{2\pi}$

the equation becomes $r=\frac{7\pi}{2\pi}$ , aka radius equals seven times pi divided by two times pi.

now divide $\frac{7\pi}{2\pi}$ .

$\frac{7\pi}{2\pi} = 3.5$

now we know that the radius of the circle is 3.5 :) since we have this information, we can now solve for the area of the circle using the formula $A = \pi r^{2}$ .

first, plug in $3.5$ for $r$ .

$A = \pi r^{2}$ ⇒ $A = \pi 3.5^{2}$

now multiply $\pi 3.5^2$ , aka pi times three and five tenths squared.

$\pi 3.5^2 = 38.4845100065$ (if needed, you can round this result to the nearest tenth, hundredth, etc.)

the area of the circle is 38.4845100065m². i hope this helps! have an amazing day <3

6 0

2 years ago