All categories

2 years ago

Factor (5a–3b)^2–25a^2 PLS HELP 50 POINTS

Mathematics

2 answers:

Nonamiya [84]2 years ago

3 0

Answer:

(-3b) (10a -3b)

Step-by-step explanation:

(5a–3b)^2–25a^2

Replace (5a–3b) with x

x^2 - (5a) ^2

We have the difference of squares

( x-5a) (x+5a)

Now replace x with (5a -3b)

(5a -3b -5a) ( 5a -3b +5a)

Combine like terms

(-3b) (10a -3b)

KatRina [158]2 years ago

3 0

Answer:

(5a-3b)²-25a²

= 25a²+9b²-2×5a×3b-25a { (a-b)²= a²+b²-2ab}

=9b²-30ab

=3b(3b-10a)

= -3b(10a-3b)

Ans

Hope, it helped!

You might be interested in

Please help!! MathsWatch, Surd Expressions, Clip 207c

dexar [7]

Answer:

$A=(72+36\sqrt{3})\ mm^2$

Step-by-step explanation:

see the attached figure with letters to better understand the problem

Let

a ----> the height of rectangle in mm

b ---> the base of rectangle in mm

step 1

Find the base of rectangle

$b=AB+BC+CD+DE$ ----> by segment addition postulate

substitute

$b=3+3+3+3=12\ mm$

step 2

Find the height of rectangle

$a=FB+CG+GH$ ---> by segment addition postulate

substitute the given values

$a=3+CG+3\\a=6+CG$

Find the length sides CG

Applying the Pythagorean Theorem

$BG^2=BC^2+CG^2$

substitute the given values

$6^2=3^2+CG^2$

$CG^2=6^2-3^2$

$CG=\sqrt{27}\ mm$

simplify

$CG=3\sqrt{3}\ mm$

therefore

$a=(6+3\sqrt{3})\ mm$

step 3

Find the area of rectangle

$A=ab$

we have

$a=(6+3\sqrt{3})\ mm$

$b=12\ mm$

substitute

$A=(6+3\sqrt{3})(12)=(72+36\sqrt{3})\ mm^2$

8 0

3 years ago

HELP ME PLS IM DESPO

gogolik [260]

There is a 1/3 chance. Add up the shaded parts for a total of 120 degrees. 120/360 is 1/3

7 0

3 years ago

Use trigonometry to find the missing side. Round your answer to the nearest tenth (one decimal place)

Alchen [17]

Given:

A figure of a right triangle.

To find:

The missing side by using the trigonometric ratios.

Solution:

In a right angle triangle,

$\cos \theta=\dfrac{Adjacent}{Hypotenuse}$

In triangle ABC,

$\cos A=\dfrac{AC}{AB}$

$\cos (31^\circ)=\dfrac{b}{270}$

$0.857=\dfrac{b}{270}$

Multiply both sides by 270.

$0.857\times 270=b$

$231.39=b$

$b\approx 231.4$

Therefore, the missing side length is b=231.4 inches.

5 0

3 years ago

Last onss<br><br>please help me

Tpy6a [65]

Answer:

50000 i think and i hope it helps i think it helps idk im tired okay

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Write the equation as a single logarithm.

ch4aika [34]

Answer:

B-log(x-4)

Step-by-step explanation:

Have a nice day lol i just know things

7 0

3 years ago