Write an equation in point slope form (4,2) m=7

HELP ORGENT

poizon [28]

Answer:

it should be a.

Step-by-step explanation:

5 0

3 years ago

A triangle with vertices D, E, and F are plotted on the coordinate plane at (0, 5). (2, 0), and (-4, 2), respectively. When cons

rodikova [14]

Given:

Vertices of a triangle are D(0,5), E(2,0) and F(-4,2).

To find:

The intersection point of medians DG and EH.

Solution:

We know that, intersection point of all the medians of a triangle is called centroid.

The formula of centroid is

$Centroid=\left(\dfrac{x_1+x_2+x_3}{3},\dfrac{y_1+y_2+y_3}{3}\right)$

Vertices of a triangle are D(0,5), E(2,0) and F(-4,2). So, the centroid of the triangle is

$Centroid=\left(\dfrac{0+2+(-4)}{3},\dfrac{5+0+2}{3}\right)$

$Centroid=\left(\dfrac{-2}{3},\dfrac{7}{3}\right)$

$Centroid=\left(-0.666...,2.333\right)$

Round each coordinate to the nearest tenth.

$Centroid=\left(-0.7,2.3\right)$

Therefore, the correct option is C.

4 0

4 years ago

A-15=4a-3 Plz help me figure out this problem!

Alexeev081 [22]

Answer:

a = -4

Step-by-step explanation:

To solve an equation like this, it works well to put all the variable terms on one side of the equal sign and all the constant terms on the other side.

To that end, it usually works well to locate the variable term with the smallest (most negative) coefficient, then subtract that quantity from the equation. Here, that term is "a" on the left side of the equal sign. When we subtract "a" from the equation, we get ...

... -15 = 3a - 3

Now, we have an unwanted constant on the right side of the equal sign. We want to add the opposite of that value to the equation. When we add +3 to the equation, we get ...

... -12 = 3a

Here, the variable and constant terms are separated the way we want, but the variable term has an unwanted coefficient. We can divide the equation by that value:

... -12/3 = (3a)/3

... -4 = a

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Alternate method

The method described above requires you exercise some judgment and identify the various kinds of terms in the equation. A more "mechanical" method can be the following:

1. Subtract one side of the equation from both sides.

... (a -15) -(4a -3) = 0

... -3a -12 = 0

2. Divide the equation by the coefficient of the variable.

... (-3a -12)/-3 = 0

... a + 4 = 0

3. Add the opposite of the constant to both sides of the equation.

... a = -4

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Comment on this method

This always works, though it may be a bit different than what your teacher or friends may show you.

Sometimes, as here, the variable coefficient can end up negative, so if you're confused by negative numbers, you may have to be careful to choose which side of the equation is subtracted. As above, choosing to subtract the side with the smallest variable coefficient ensures the result will have a positive variable coefficient.

_____

In general, to get rid of an added term you don't want, add its opposite to the equation. To get rid of a multiplier you don't want, divide the equation by that value. Remember: whatever you do to one side of the equation, you must also do to the other side. This is what keeps the equal sign valid.

8 0

3 years ago

How do you factor r^8-1

Harrizon [31]

There's a simple factorization for the difference of squares:

$a^2-b^2=(a-b)(a+b)$

Here, we have

$r^8-1=(r^4)^2-1^2=(r^4-1)(r^4+1)$

But $r^4$ is another square, so we can do more:

$r^4-1=(r^2)^2-1^2=(r^2-1)(r^2+1)$

Not done yet!

$r^2-1=(r-1)(r+1)$

Putting everything together, we have

$r^8-1=(r-1)(r+1)(r^2+1)(r^4+1)$

4 0

4 years ago

Read 2 more answers

After each charging, a battery is able to hold only 96% of the charge from the previous charging. The battery was used for 10 ho

cupoosta [38]

Answer:

250 hours

Step-by-step explanation:

The first charge is 10 hours, the second charge is 10(0.96) hours, and so on -- the total of these two is 10+10(0.96) and we need to keep adding our battery usage up until there is no more battery. The third one is 10(0.96)*(0.96), or 10(0.96)².

This can be seen as a geometric series, with 10 as the first tern, or a, and 0.96 as the common ratio, or r. The sum of this is

$a\frac{1-r^{n}}{1-r}$ , with n being the number of terms. Since 0.96 to the power of n never actually reaches 0 no matter how high n goes if the number is not infinite, we can say n is infinity. As r^n is really close to 0 when n equals infinity (so close that, for our purposes in this equation, we can just assume it's 0), our equation is then

$10\frac{1}{0.04} =10*25=250$

5 0

3 years ago