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2 years ago

What are the steps to this problem (and the answer?)

Mathematics

1 answer:

Svetradugi [14.3K]2 years ago

5 0

Answer:

$(25 {x}^{2} + 20xy + 16 {x}^{2} )(5x - 4y) = \\ 125 {x}^{3} + 100 {x}^{2} y + 80x {y}^{2} - 100 {x}^{2} y \\ - 80x {y}^{2} - 64 {y}^{3} = \\ 125 {x}^{3} - 64 {y}^{3} \\ please \: give \: brainliest$

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Which are the solutions to the quadratic equation x^2=9x+6

AlekseyPX

I will use a quadratic formula:

$x^2=9x+6\ \ \ \ |-9x-6\\\\x^2-9x-6=0\\\\a=1;\ b=-9;\ c=-6\\\\b^2-4ac=(-9)^2-4\cdot1\cdot(-6)=81+24=105\\\\\sqrt{b^2-4ac}=\sqrt{105}\\\\x_1=\dfrac{-b-\sqrt{b^2-4ac}}{2a};\ x_2=\dfrac{-b+\sqrt{b^2-4ac}}{2a}\\\\x_1=\dfrac{-(-9)-\sqrt{105}}{2\cdot1}=\dfrac{9-\sqrt{105}}{2}\\\\x_2=\dfrac{-(-9)+\sqrt{105}}{2\cdot1}=\dfrac{9+\sqrt{105}}{2}$

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2 years ago

An oak tree is planted when it is 650 centimeters tall. What is this height in meters?

Mashutka [201]

Answer:

It is 6.5 meters

The centimeter practical unit of length for many everyday measurements. A centimeter is equal to 0.01(or 1E-2) meter.

7 0

2 years ago

The Pythagorean theorem is a² + b² = c². Solve for b. b=±c+a−−−−√ b=±c2−a2−−−−−−√ b=±c2+a2−−−−−−√ b=±c−a−−−−√

uysha [10]

$a^{2} +b^{2} =c^{2}$

As we have to solve for b, it means we have to isolate b

So first of all subtract $a^{2}$ from both sides

So we get

$b^{2} =c^{2} -a^{2}$

Now we need b , but its b^2 , so we can take square root on both sides.

taking square roots on both sides

$b= +- \sqrt{c^2 -a^2}$

Hence option B is correct

4 0

2 years ago

LITTERLY HELP ME PLEASEE..... 2/x-4x/2x-3=-2<br> PLEASEE I INSERTED A PIC

Stels [109]

Answer:

x = -3

Step-by-step explanation:

Given expression is,

$\frac{2}{x}- \frac{4x}{2x-3}=-2$

$\frac{2(2x-3)}{x(2x-3)}-\frac{4x(x)}{x(2x-3)}=-2$

$\frac{2(2x-3)-4x^{2} }{x(2x-3)}=-2$

(4x - 6) - 4x² = -2x(2x - 3)

4x - 6 - 4x² = -4x² + 6x

4x - 6 = 6x

6x - 4x = -6

2x = -6

x = -3

3 0

2 years ago

Exercise

svp [43]

By addition of all the exercise and substracting it from 1 hourJavier runs on treadmill on Monday is 0.40 hour.

Now According to the question javier completed 3 repetitions of each exercise so by multiplication time taken by javier to complete each exercise is as follow;

Squats = 0.8*3= 0.24 hour

Crunches = 0.03*3 = 0.09 hour

Lunges = 0.04*3 = 0.12 hour

curls = 0.05*3 = 0.15 hour

we can calculate total time taken to complete all exercise by Addition is,

0.24 + 0.09 + 0.12 + 0.15

0.60 hour

time taken on treadmill by javier;

1 hour - 0.60 hour

0.40 hour