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2 years ago

Draw a number line and mark all described points. a −1≤x≤3

Mathematics

1 answer:

kirill115 [55]2 years ago

7 0

Answer:

Closed Dot on -1 with arrow pointing to the right with Closed Dot on 3.

X-----------------X

-1 3

Step-by-step explanation:

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write an equation in slope intercept form for the line described. perpendicular to y = -1/2x + 2/3, passes through (2,3)

Alex17521 [72]

Step-by-step explanation:

Hey there!

Follow the steps to get answer.

Use one point formula and find 1st equation.
After that you find the slope of second equation.
Use the condition of perpendicular lines and find the slope of first equation.
Put slope value of equation in equation (i) and simplify them to get equation.

The equation of a line passing through point (2,3) is;

(y-3)= m1(x-2).......(i).

Another equation is;

$y = \frac{ - 1}{2} x + \frac{2}{3}$

2nd equation..

Now, From equation (ii)

We have;

Comparing equation (ii) with y = mx+c.

We get;

Slope = -1/2.

For perpendicular lines,

$m1 \times m2 = - 1$

$m1 \times \frac{ - 1}{2} = - 1$

Therefore the slope is 2.

Put value of slope (m1) in equation (i). We get;

$(y - 3) = 2(x - 2)$

Simplify them to get equation.

$(y - 3) = 2x - 4$

$y = 2x - 1$

Therefore the required equation is y = 2x-1.

Hope it helps..

4 0

3 years ago

Please help! 3 Questions please show how you solved the problem

Masteriza [31]

Answer:

1) $(-y^2-4y-8+4y^2+6y-3)$

2) $32x^5y^4z^2$

3) $x^3-9x^2+14x+24$

Step-by-step explanation:

Given the expression we have to simplify the expression

1) $(-y^2-4y-8)-(-4y^2-6y+3)$

⇒ $(-y^2-4y-8+4y^2+6y-3)$

Combining like terms, we get

⇒ $3y^2+2y-11$

2.) $(2x^2y^3z^2)(4xy.4x^2)$

⇒ $(2x^2y^3z^2)(16x^3y)$

⇒ $32x^5y^4z^2$

3.) $(x-4)(x^2-5x-6)$

⇒ $x^3-5x^2-6x-4x^2+20x+24$

⇒ $x^3-9x^2+14x+24$

5 0

2 years ago

What is 0.7b^3•0.4b^9

Dennis_Churaev [7]

It's an expression that can be simplified to read

( 0.7 x 0.4 ) ( b³ x b⁹ )

= ( 0.28 ) ( b¹² ) = 0.28 b¹² .

4 0

3 years ago

Which one doesn't belong? Graph

suter [353]

Where is the graph I need to see the graph for the answer

6 0

3 years ago

Y-3=2(x+1) Can you guys please help me solve for y

Tatiana [17]

Answer:

First, you have to rewrite the question in a way to isolate your Y. This means moving the -3 over to the other side.

Y = 2(x+1) + 3

Now, you should multiply the 2 out in the parenthesis.

Y=2x+2+3

Now, combine like terms! In this case, your like terms are 2 and 3.

Y=2x + 5

Because there are no more like terms, and Y is completely isolated, Y=2x + 5 is your answer!

6 0

3 years ago