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3 years ago

WHAT DOES THIS MEAN I DONT UNDERSTAND

Mathematics

1 answer:

Art [367]3 years ago

3 0

Answer:

the goal is to try and get x alone. For the 1st problem, x=3.

Step-by-step explanation:

3x + 1 = 10 Subtract 1 both sides to cancel out the 1 on the left side. 10-1 = 9

3x = 9 To get x alone here, Divide 3 on both sides. 9/3 = 3

x = 3 Now x is alone, which means x = 3.

This is right because if you plug x with 3, the sum = 10.

(3*3) + 1 =10

9 + 1 = 10

So, that's how you know 3 is the right answer.

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What are the intercepts of the line?

zmey [24]

X intercept: (-4)
y intercept: (8)

6 0

3 years ago

What is the equation of this graphed line?

Veseljchak [2.6K]

Answer:

Slope Intercept form of the equation is $y = \frac{1}{3} x - 9$

Step-by-step explanation:

Here, the two point line are given as is A(-6,-3) and B(6,-7)

The slope of the line AB = $m = \frac{y_2 - y_1}{x_2 - x_1}$

$m = \frac{-7-(-3)}{6-(-6)} = \frac{-7 + 3}{6 + 6} = \frac{4}{12} \\\implies m = \frac{1}{3}$

⇒ the slope of AB is m = (4/3)

By SLOPE INTERCEPT FORMULA:

The equation of a line with slope m and a point (x0, y0) is given as

(y-y0)= m (x-x0)

⇒ The equation of line with point (6,-7) is:

$y + 7 = \frac{1}{3} (x-6) \implies 3y + 21 - x + 6 - 0\\or, -x + 3y + 27 = 0$

Now, the given equation is -x + 3y = -27

Convert it in the SLOPE INTERCEPT FORM y = mx + c

We get, 3y = x - 27

or, $y = \frac{1}{3} x - \frac{27}{3} \\\implies y = \frac{1}{3} x - 9$

Hence, the Slope Intercept form of the equation is $y = \frac{1}{3} x - 9$

3 0

3 years ago

The parabolic arch of a bridge over a one-way road can be described by the equation y = -x^2 + 6, where x and y ar emeasured in

Vladimir [108]

So check the picture below

if we check the solutions or zeros for the equation, we get $\bf y=-x^2+6\implies 0=-x^2+6\implies x=\pm \sqrt{6}$

and as you can see in the picture, the value of "x" when y = 3.5, or the height of the truck is $\bf y=-x^2+6\implies 3.5=-x^2+6\implies x=\pm \sqrt{2.5}$

the truck, ends up with a clearance of $\bf \sqrt{2.5}-1.5$ on either side, so, the maximum clearance, the truck can have, those two clearances added together, $\bf 2(\sqrt{2.5}-1.5)$