All categories

2 years ago

(16x2 - 25) ÷ (4x + 5) (its dividing polynomials)

Mathematics

1 answer:

miss Akunina [59]2 years ago

7 0

Answer:

4x-5, x= 5/4

Step-by-step explanation:

Basically factor the top part and see if you cancel bottom!

16x^2 -25 , you'll realize it's a difference of squares,

Hence, factored form would be like this:

(4x+5)(4x-5)

Hence, (4x+5) cancels out and your answer is 4x-5

x= 5/4

Hope this helps!

Please mark brainliest if you think I helped! Would really appreciate!

You might be interested in

3. Rewrite -2x + 3y = 6 in slope intercept form.

zaharov [31]

The equation in slope-intercept form is:

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

Further explanation:

The standard slope-intercept form is:

$y=mx+b$

Given equation is:

$-2x+3y=6$

In order to bring the equation in slope-intercept form we have to isolate y on left hand side of equation

So,

Adding 2x on both sides

$-2x+3y+2x=6+2x\\3y=2x+6$

Dividing both sides by 3

$\frac{3y}{3}=\frac{2x+6}{3}\\y=\frac{2x+6}{3}$

Simplifying

$y=\frac{2x+6}{3}\\y = \frac{2x}{3}+\frac{6}{3}\\y=\frac{2}{3}x+2$

The equation in slope-intercept form is:

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

Keywords: Slope-intercept form, linear equation

Learn more about slope-intercept form at:

#learnwithBrainly

4 0

2 years ago

Solve the system by substitution. x – 3y = 4 2x – 6y = 8 A. no solution B. x = 4, y = 0 C. x = 0, y = 0 D. infinite solutions

ruslelena [56]

Answer:

The correct answer is option D.

Step-by-step explanation:

if the pair of equation has one or more than one solution then it is said to be consistent.

Only one solution , then independent system.
More than one solution , then dependent system.

if the pair of equation has no solution then it is said to be inconsistent.

Given : x - 3y = 4 ...[1]

2x - 6y = 8 ...[2]

Solution :

Solving equations with the help of Substituting methods:

x - 3y = 4

x = 4 +3y

Putting value of x from [1] in [2]:

$2(4+3y)-6y=8$

$8+6y-6y=8$

$6y=6y$

0 = 0

Given , system of equation will have infinite solution. Hence consistent and dependent.

The given system of equations will have infinite solutions.

4 0

3 years ago

Read 2 more answers

Write an equation in slope-intercept form for the line parallel to y= -7x-9 that passes through the point (4,9). Show your work.

MrRa [10]

Answer: y=-7x + 37

Step-by-step explanation:

Parallel lines will have the same slope but different y-intercepts so again we can use the coordinates to determine the y intercept of the new equation.

So we know that the slope intercept formula is y=mx + b where m is the slope and b is the y-intercept so we will input the x and y coordinates to solve for b.

9 = -7(4) + b

9 = -28 + b

+28 +28

b = 37

The equation will be y= -7x + 37

6 0

3 years ago

Danny and his mom are building a fenced region for their dog in the backyard. The region measures 18 ft. by 27 ft. The gate they

raketka [301]

Answer:

Step-by-step explanation:

First find the perimeter.I got 90.Since they are using 3 feet already, do 90-3.After that you get 87.

3 0

3 years ago

Through(5,0) parallel to y=-1/5x+3

Nikolay [14]

Answer:

If a line is parallel to another line, both of the lines have the same slope. So far the equation is y=-1/5+b. To find the value of b, substitute the given point into the equation. 0=-1/5(5)+b, 0=-1+b, b=1. So the equation of the line is y=-1/5x+1.

4 0

2 years ago