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Natali5045456 [20]
2 years ago
6

Factorise fully X^2 subtract 2x

Mathematics
1 answer:
anastassius [24]2 years ago
7 0

Answer:

x(x-2)

Step-by-step explanation:

X^2-2x

x(x-2)

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What is the solution to the equation
Dafna11 [192]
\sqrt{4t+5}=3-\sqrt{t+5}\\\\D:4t+5\geq0\ \wedge\ t+5\geq0\ \wedge\ \sqrt{t+5}\leq3\\\\t\geq-\dfrac{5}{4}\ \wedge\ t\geq-5\ \wedge\ t\leq6

therefore
D:x\in\left< -\dfrac{5}{4};\ 6\right>

\sqrt{4t+5}=3-\sqrt{t+5}\ \ \ |^2\\\\(\sqrt{4t+5})^2=(3-\sqrt{t+5})^2\ \ \ |use:(a-b)^2=a^2-2ab+b^2\\\\4t+5=3^2-2\cdot3\cdot\sqrt{t+5}+(\sqrt{t+5})^2\\\\4t+5=9-6\sqrt{t+5}+t+5\ \ \ \ |-t\\\\3t+5=14-6\sqrt{t+5}\ \ \ \ |-14\\\\3t-9=-6\sqrt{t+5}\ \ \ \ |change\ signs
9-3t=6\sqrt{t+5}\ \ \ \ |:3\\\\3-t=2\sqrt{t+5}\ \ \ \ |^2\\\\(3-t)^2=(2\sqrt{t+5})^2\\\\3^2-2\cdot3\cdot t+t^2=4(t+5)\\\\9-6t+t^2=4t+20\ \ \ |-4t-20\\\\t^2-10t-11=0\\\\t^2+t-11t-11=0\\\\t(t+1)-11(t+1)=0\\\\(t+1)(t-11)=0\iff t+1=0\ \vee\ t-11=0\\\\t=-1\in D\ \vee\ t=11\notin D
Answer: t = -1.


7 0
3 years ago
Read 2 more answers
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Natasha_Volkova [10]

Answer:   1. 447

                2. 572

                3. 257

               

Step-by-step explanation:

3 0
2 years ago
An airplane must clear a 60-foot pole at the end of a runway 500 yards long determine the angle of elevation at which the airpla
Marat540 [252]

Answer:

2.3 degrees.      

Step-by-step explanation:

Please find the attachment.

We are told that an airplane must clear a 60-foot pole at the end of a runway 500 yards long.

Let us convert 500 yards to feet.

1 yard= 3 feet.

500 yards= 3*500 feet= 1500 feet.

We can see from our attachment pole and runway are in form of a right triangle. The pole is opposite to angle of elevation of plane and length of runway is adjacent.

Since tangent represents the relation between opposite and adjacent of right triangle, So we will use tangent to find angle of elevation that plane must ascend to clear the pole.  

tan(\theta)=\frac{60}{1500}    

\theta=\tan^{-1}(\frac{60}{1500} )

\theta=\tan^{-1}(0.04)

\theta=2.290610042639

Therefore, the airplane must ascend 2.3 degrees to clear the pole.

8 0
2 years ago
What is 6/5 divided by 4/3
Anna007 [38]

Answer:

9/10

Step-by-step explanation:

5 0
2 years ago
Yeah, im clueless please help;-;
svetlana [45]

Answer:

Starting from the left,  top to bottom. first answer is 8, second is 21.3, third is 64, 204.8. Right side is essentially y=x to a power, the answers are from top to bottom, 8,27,64,125

Step-by-step explanation:

Essentially, its just asking you to divide the given y values by the x values.

7 0
2 years ago
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