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3 years ago

ANSWER QUICK PLS

Mathematics

1 answer:

ankoles [38]3 years ago

5 0

Answer:

Its 2

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

Can you help me with this markup or discount?

Marizza181 [45]

Answer:

$33.66

Step-by-step explanation:

3 0

3 years ago

The following triangles are similar. State the postulate or theorem that proves they are similar along with the correct scale fa

Nadusha1986 [10]

I would have to say SAS because they give 2 sides and an angle. Also 3:4 because the one side is 3 and add 1 for 4, same for 30 and 40.

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2 years ago

PLEASE HELP ASAP

Black_prince [1.1K]

The triangle of height 5 units and base 7 units will be as follows:

8 0

3 years ago

Haley and Nicole stopped at the school bookstore for extra supplies. Haley

nata0808 [166]

Answer:

Step-by-step explanation:

8p+3f=10.39

5p+4f=10.51

subtract

3p-f=-0.12

f=3p+0.12

8p+3(3p+0.12)=10.39

17p=10.39-0.36

17p=10.03

p=10.03/17=0.59

f=3×0.59+0.12=1.77+0.12=1.89 $

or 40 p+15f-40p-32f=51.95-84.08

-17f=-32.13

f=1.89 $

7 0

3 years ago