All categories

3 years ago

Factor each expression. (9) 5a - 25 (10) 28 - 7x (11) 12z + 28 - 7z - 3

Mathematics

1 answer:

Nimfa-mama [501]3 years ago

6 0

Answer:

Step-by-step explanation:

Look for the GCF and then divide every term by the GCF to see what remains

(9) 5a - 25 ( GCF is 5 so take out 5 and divide every term by 5)

5(a-5)

(10) 28 - 7x ( GCF is 7 so take out 7 and divide every term by 7)

7(4-x)

(11) 12z + 28 - 7z - 3= (combine terms) =

5x+25( GCF is 5 so take out 5 and divide every term by 5)

5(x+5)

You might be interested in

Complete the table for the given rule. Rule: y=X/4(fraction)

Lady_Fox [76]

Answer:

$\large\huge\boxed{\begin{array}{c|c}x&y\\\\4&1\\\\2&\frac{1}{2}\\\\9&\frac{9}{2}\end{array}}$

Step-by-step explanation:

$y=\dfrac{x}{4}$

Put the values of x from the table to the equation:

$x=4\to y=\dfrac{4}{4}=1\\\\x=2\to y=\dfrac{2}{4}=\dfrac{2:2}{4:2}=\dfrac{1}{2}\\\\x=9\to y=\dfrac{9}{4}$

From the comment.

Convert the equation:

$y=\dfrac{x}{4}$ multiply both sides by 4

$4y=x\to x=4y$

Put the values of y from the table to the equation:

$y=4\to x=(4)(4)=16\\\\y=2\to x=(4)(2)=8\\\\y=9\to x=(4)(9)=36$

$\large\huge\boxed{\begin{array}{c|c}x&y\\\\16&4\\\\8&2\\\\36&9\end{array}}$

3 0

3 years ago

Please help! Thanks in advance!!

marysya [2.9K]

Each movie ticket was $11.75

7 0

3 years ago

A line is perpendicular to y = -x + 1

frozen [14]

Answer: The equation of the perpendicular line intersects the point (-5,1) is y=x+6[/tex]

Step-by-step explanation:

step1:-

The standard form of slope - intercept form y=m x+c

Here m is called slope of the given line

C is called the y- intercept of the given line

Given equation of the straight line y=-x+1

comparing the slope - intercept form y=m x+c

here m= -1 and c=1

step2:-

The equation of the perpendicular line is

$y-{[y_{1}$ } =\frac{-1}{m} (x-x_{1} )[/tex]

substitute m = -1 and c =1 values in equation

$y-1 =\frac{-1}{-1} (x-(-5 )$

$y-1 ={1} (x-(-5 )$

$y=1+x+5\\y=x+6$

step3:- The equation of the perpendicular line intersects the point (-5,1) is

y=x+6[/tex]

conclusion:-

The equation of the perpendicular line is

y=x+6[/tex]

4 0

3 years ago

What is the factored form of this expression? 4x^2 - 12x + 9

olga2289 [7]

Answer:

(2x-3)^2

Step-by-step explanation:

I hope this is Correct. :)

If it is not please no hate comments and just correct me like a normal person would.

6 0

3 years ago

Read 2 more answers

Helllppp pleassssseeeee

Elenna [48]

Answer:

132 square cm = 20.46 square inches

Step-by-step explanation:

Total surface area = area of base (square) + 4 x area of one triangle.

$= {6}^{2} + 4 \times \frac{1}{2} \times 6 \times 8 \\ = 36 + 2 \times 48 \\ = 36 + 96 \\ = 132 \: {cm}^{2} \\= 20.46\: inches^2$

4 0

3 years ago