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2 years ago

13

Solve the following quadratic by completing the square.

1 answer:

lianna [129]2 years ago

4 0

Answer:

$x = -5 \pm \sqrt{26}$

Step-by-step explanation:

$x^2+10x-1=0\\\\\implies x^2+2\cdot 5 x +5^2-5^2-1=0\\\\\implies (x+5)^2-25-1=0\\\\\implies (x+5)^2 -26=0\\\\\implies (x+5)^2 = 26\\\\\implies x +5 = \pm\sqrt{26}\\\\\implies x = -5 \pm \sqrt{26}$

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Which construction could be used to construct an isosceles triangle ABC given line

Free_Kalibri [48]

Answer:

In the given two column proof two sides and included angles are equal.

Triangles are congruent if any pair of corresponding sides and their included angles are equal in both triangles .In the figure sides BD≅BD , AB≅ BC and <ABD ≅,BDD Therefore triangle ABD and triangle CBD are congruent by SAS property of congruence.

4 0

3 years ago

If A and B are independent events, P(A) = 0.25, and P(B) = 0.3, what is P(AB)?

Marrrta [24]

Answer:

$P(A) = 0.25, P(B= 0.3$

And if we want to find $P(A \cap B)$ we can use this formula from the definition of independent events :

$P(A \cap B) =P(A) *P(B) = 0.25*0.3= 0.075$

And the best option would be:

$P(A \cap B) =0.075$

Step-by-step explanation:

For this case we have the following events A and B and we also have the probabilities for each one given:

$P(A) = 0.25, P(B= 0.3$

And if we want to find $P(A \cap B)$ we can use this formula from the definition of independent events :

$P(A \cap B) =P(A) *P(B) = 0.25*0.3= 0.075$

And the best option would be:

$P(A \cap B) =0.075$

3 0

3 years ago

What is the solution to this equation?

HACTEHA [7]

Answer:

Option 1 - X = 9

Step-by-step explanation:

The solution to this equation, x - 15 = - 6

Solving the following,

Step 1: x - 15 = -6

Replace all the numerical values in one side and x digits on the other side

Step 2: x = -6+15

Step 3: x = 9

Therefore, the value of x is 9.

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3 years ago

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ale4655 [162]

The slope-point formula:

$y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}$

We have (0, 3) and (-10, 4)

Substitute:

$m=\dfrac{4-3}{-10-0}=\dfrac{1}{-10}\\\\y-3=-\dfrac{1}{10}(x-0)\qquad|\text{add 3 to both sides}\\\\y=-\dfrac{1}{10}x+3\to\boxed{A.}$

3 0

3 years ago

Help me please idk how to do it

frozen [14]

You do £68.85 - £15.30= (the answer)
Then you do the answer of that divided by 0.85

5 0

3 years ago