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3 years ago

Plz help me get the answer ASAP

Mathematics

2 answers:

Fantom [35]3 years ago

5 0

a=6
3 times 6 would equal the answer 18
3(6)=18
18=18

Tanya [424]3 years ago

3 0

3a=18

3a/3 = 18/ 3 ,divide 3 on both sides to isolate
a and to get 6.
a= 6

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when 6 is subtracted from the square of a number, the result is 5 times the number. Find the negative solution.

sveta [45]

When 6 is subtracted from the square of a number, the result is 5 times the number, then the negative solution is -1

<h3><u>Solution:</u></h3>

Given that when 6 is subtracted from the square of a number, the result is 5 times the number

To find: negative solution

Let "a" be the unknown number

Let us analyse the given sentence

square of a number = $a^2$

6 is subtracted from the square of a number = $a^2 - 6$

5 times the number = $5 \times a$

<em><u>So we can frame a equation as:</u></em>

6 is subtracted from the square of a number = 5 times the number

$a^2 - 6 = 5 \times a\\\\a^2 -6 -5a = 0\\\\a^2 -5a -6 = 0$

<em><u>Let us solve the above quadratic equation</u></em>

For a quadratic equation $ax^2 + bx + c = 0$ where $a \neq 0$

$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Here in this problem,

$a^2-5 a-6=0 \text { we have } a=1 \text { and } b=-5 \text { and } c=-6$

Substituting the values in above quadratic formula, we get

$\begin{array}{l}{a=\frac{-(-5) \pm \sqrt{(-5)^{2}-4(1)(-6)}}{2 \times 1}} \\\\ {a=\frac{5 \pm \sqrt{25+16}}{2}=\frac{5 \pm \sqrt{49}}{2}} \\\\ {a=\frac{5 \pm 7}{2}}\end{array}$

We have two solutions for "a"

$\begin{array}{l}{a=\frac{5+7}{2} \text { and } a=\frac{5-7}{2}} \\\\ {a=\frac{12}{2} \text { and } a=\frac{-2}{2}}\end{array}$

We have asked negative solution. So a = -1

Thus the negative solution is -1

6 0

3 years ago

What are the x and y-intercepts of the line described by this equation? -6x+3y=18.9?

Naddika [18.5K]

The "x" intercept is found when you plug in "0" for "y"
-6x + 3(0) = 18.9
-6x = 18.9 (Divide both sides by -6)
x = - 3.15
(-3.15, 0) is your x-intercept

Now plug in "0" for the x
-6(0) + 3y = 18.9
3y = 18.9 (Divide both sides by 3)
y = 6.3
(0, 6.3) is your y - intercept

5 0

3 years ago

Not sure how I would solve this

Simora [160]

<h3>Answer: -6/5</h3>

Explanation:

The blue diagonal line goes through the two points (0,2) and (5,-4). These are shown as the dark blue enlarged points. You can pick any other points you want that are on the diagonal line, though these are the easiest as they stand out the most.

Use the slope formula to find the slope through these points

m = (y2-y1)/(x2-x1)

m = (-4-2)/(5-0)

m = (-6)/(5)

m = -6/5

The negative slope means the line goes downhill as you move from left to right along the diagonal line.

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3 years ago

Please I really need help on this one

Salsk061 [2.6K]

Answer:

2.5ft

Step-by-step explanation:

d=2r

r=1/2d

r=1/2*5ft=2.5 ft

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3 years ago

You buy a game for $40 , and the sales tax is $2 2 . What percent of the game price are you paying in sales tax?

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.05 percent taxes if you spend 40 and 2 dollar worth of taxes

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