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3 years ago

In the expression 7m/9+6r-4/5 , what are the coefficients ?

Mathematics

2 answers:

Oksi-84 [34.3K]3 years ago

7 0

Answer:

Coefficients are:

d) 7/9 and 6

Step-by-step explanation:

We are given a expression:

$\dfrac{7}{9}m+6r-\dfrac{4}{5}$

We have to find the coefficients

Coefficient is a term which is multiplied to a variable or its power

Above expression has two variables m and r

The coefficient of m=7/9

and coefficient of r=6

Hence, coefficients are:

d) 7/9 and 6

irakobra [83]3 years ago

5 0

D because -4/5 has no variable such as m or r attached to it.

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Solve for n. 3/4 x n = 1

cestrela7 [59]

3/4 times n=1

remember that when you multiply 3/4 by 4/3 you get 12/12=1 so it simplifies
remember that you can do anything to an equation as long as you do it to both sides

3/4 ties n=1
multiply both sides by 4/3 to clar fraction
12/12 times n=4/3 times 1
1 times n=4/3
n=4/3

answer is n=4/3 or 1 and 1/3

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2 years ago

What is the slope of the line with the following equation? <img src="https://tex.z-dn.net/?f=2x%2B3y%3D2" id="TexFormula

KengaRu [80]

QUESTION

Your equation is 2x+3y=2 and you need to find the slope.

EXPLANATION

There are many ways to find the slope with an equation like this. I'm going to change the equation into slope-intercept form.

Slope-intercept form is formatted like this:

y=mx+b

m represents the slope. The first thing you need to do is leave 3y alone to change the equation into slope-intercept form. That means you need to subtract 2x from both sides.

$2x+3y=2 \rightarrow 3y=2-2x\ or\ 3y=-2x-2$

The next thing you need to do is leave y alone, just like the slope-intercept form example. To leave y alone, you need to divide 3y by 3.

$\frac{3y}{3}=\frac{-2x-2}{3} \\ \\ y=-\frac{2}{3}x-\frac{2}{3}$

Now the equation has been changed to slope-intercept form. In the equation, m has been replaced by $-\frac{2}{3}$ , which means that is your answer.

Answer: $-\frac{2}{3}$

5 0

3 years ago

Read 2 more answers

What is the sum? StartFraction 3 y Over y squared + 7 y + 10 EndFraction + StartFraction 2 Over y + 2 EndFraction

katovenus [111]

Answer:

$\dfrac{5}{y+5}$

Step-by-step explanation:

Here, we have to find the sum of 2 fractions:

1st fraction: $\dfrac{3y}{y^{2}+7y+10}$

2nd fraction: $\dfrac{2}{y+2}$

Considering the denominator of 1st fraction:

$y^{2}+7y+10$

Using factorization method:

$7y$ can be written as $(2y + 5y)$ .

$\Rightarrow y^{2}+2y+5y+10$

Taking 5 common from $5y+10$ and y common from $y^{2}+2y$ : $\Rightarrow y(y+2)+5(y+2)$

Now taking $(y+2)$ common:

$\Rightarrow (y+5)(y+2)$

$\dfrac{3y}{y^{2}+7y+10}$ can be written as $\dfrac{3y}{(y+5)(y+2)}$

Now, calculating the sum:

$\dfrac{2y}{(y+5)(y+2)} + \dfrac{2}{y+2}$

Taking LCM and solving:

$\Rightarrow \dfrac{3y+2(y+5)}{(y+5)(y+2)}\\\Rightarrow \dfrac{5y+10}{(y+5)(y+2)}\\\Rightarrow \dfrac{5(y+2)}{(y+5)(y+2)}\\\Rightarrow \dfrac{5}{(y+5)}$

Hence, answer is $\dfrac{5}{y+5}$ .

4 0

3 years ago

The lines intersect at point C. What is the value of x?

Agata [3.3K]

Answer:

The correct answer option is 21.

Step-by-step explanation:

We know that the given lines PW and AD intersect at the point C.

Therefore, the two given angles are equal to each other and we can write them in the form of an equation as:

(4x - 4)° = (3x + 17)°

Solving for x to get:

4x - 4 = 3x + 17

4x - 3x = 4 + 17

x = 21

Therefore, the value of x is equal to 21.

5 0

3 years ago

Read 2 more answers

What is the simplified form of (4x+2)/(x+5) + (3x+1)/(x+5)?

Roman55 [17]

It is pretty easy to solve this equation, given that the denominator is the same of either side (x + 5). You don't even need the brackets.
So:

4x+2/x+5 + 3x+1/x+5 = 4x+2+3x+1/x+5 = 7x + 3/x+5

The correct answer is 7x + 3 / x + 5.
It's the same as if you were adding for example 2/3 and 6/3 - since the denominator is the same, you should just add 2 and 6 and get 8/3.

8 0

2 years ago