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3 years ago

Help solve algebra 15a=6a-90

1 answer:

5 0

15a =6a - 90

Move all the numbers with variables to one side

15a - (6a) = 6a -(6a) -90
9a = -90
9a/9 = -90/9
a = -9

Hope this helps

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I need help doing thsi

Naily [24]

True! Because T is the defining letter of the line, so it would be true!

Hope this helps!! :)

7 0

3 years ago

Determine the next step for solving the quadratic equation by completing the square

GaryK [48]

Answer:

The two solutions are: $x=\frac{1}{2}+/-\frac{\sqrt{7} }{2}$

The next and every step are below.

Explanation:

1. $-3=-2x^2+2x$ : Given (addition property / add - 3 to both sides)

2. $-3 = - 2(x^2-x)$ : Given (commom factor - 2)

3. $-3-1/2=-2(x^2-x+1/4)$

To obtain the perfect square it was added the square of half of the coefficient of x: (1/2)² = 1/4, inside the parenthesis.

Since, the terms inside the parentthesis are multiplied by - 2, you have to add - 2 (1/4) = - 1/2 to the left side of the equation.

4. Now, you have that the trinomial x² - x + 1/4 is a square perfect trinomial which is factored as (x - 1/2)² and get the expression:

$-7/2=-2(x-1/2)^2$

5. Divide both sides by - 2 to get the next expression:

$-7/4=(x-1/2)^2$

6. The last step is to extract squere root from both sides of the equality:

$(x-1/2)=+/-\sqrt{\frac{7}{4}}\\ \\ x-1/2=+/-\frac{\sqrt{7} }{2}\\ \\ x=\frac{1}{2}+/-\frac{\sqrt{7} }{2}$

8 0

2 years ago

Factor Completely:x^2-6x-27

iren [92.7K]

Answer:

\left(x+3\right)\left(x-9\right)

Step-by-step explanation:

6 0

2 years ago

approximately 30,400 citizens of a country died in automobile accident in 2015. express this toll in deaths per day

sertanlavr [38]

If you divide 30,400 by the amount of days in a year 365 you should get 83.3 but because you cant have part of a person lets leave it at 83 death per day

6 0

2 years ago

PQ has endpoints P(-4, -2) and Q(-6, 8). What is the length of segment PQ in simplest radical form?

harina [27]

Answer:

The answer is

<h2> $2 \sqrt{26} \: \: \: \: units$ </h2>

Step-by-step explanation:

The distance between two points of a line segment can be found by using the formula

$d = \sqrt{ ({x_1 - x_2})^{2} + ({y_1 - y_2})^{2} } \\$

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

P(-4, -2) and Q(-6, 8)

The length of the line segment is

$|PQ| = \sqrt{ ({ - 4 + 6})^{2} + ({ - 2 - 8})^{2} } \\ = \sqrt{ {2}^{2} + ({ - 10})^{2} } \\ = \sqrt{4 + 100} \\ = \sqrt{104} \: \: \: \: \: \: \: \\ = 2 \sqrt{26} \: \: \: \: \: \: \:$

We have the final answer as

$2 \sqrt{26} \: \: \: \: units$

Hope this helps you

6 0

2 years ago