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Hoochie [10]
3 years ago
14

1.

Mathematics
1 answer:
lara [203]3 years ago
3 0

Answer:

3

Step-by-step explanation:

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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
Hello, please help me i dont know what 2 do
babymother [125]

Answer:

Greater than

Step-by-step explanation:

you are adding exponent with the same denominator if its easier for you in this example you can set the denominator equal to 10.

Sum= adding

2/5 +4/5 =6/5 or 1 1/5

if you want to do it with the denominator equal to 10 just multiply each side by 2.

(2/5 +4/5)x 2

4/10 + 8/10 = 12/10

3 0
2 years ago
Read 2 more answers
A circle has a radius of 11.4 cm
mojhsa [17]

Answer:

7.6pie

Step-by-step explanation:

120°/360°=X/11.4×2 pie

1/3×22.8 pie =X

X= 7.6 pie

3 0
2 years ago
2x/x-3 - 6/x-3 . I need a step by step explanation , please
Harman [31]
When adding/subtracting fractions you need a common denominator, but you already have one, which is x-3.  So in general:

a/c-b/c=(a-b)/c so you just have:

(2x-6)/(x-3)  now if you factor 2 from the numerator

2(x-3)/(x-3)  the (x-3)s cancel out leaving

2

However!  Note that division by zero is undefined, so x cannot equal 3.  (because both original fractions had denominators of x-3)

What this all means is that that expression will equal 2 for all real values of x other than 3.
8 0
3 years ago
The solutions to a certain quadratic equation are x = -4 and x = 3. Write the equation in standard form below.
Murrr4er [49]
The answer in standard form is x^2+x-12.
7 0
3 years ago
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