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3 years ago

What is the general form of the equation of the line shown? Y-2=0 y+2=0 X-2 = 0

Mathematics

1 answer:

Tatiana [17]3 years ago

6 0

Answer:Option A is correct.

y-2=0

Step-by-step explanation:

Option A is correct.

General form of the equation of the line: y-2 = 0

Step-by-step explanation:

The general form of the equation is given by:

y = mx +b where m is the slope and b is the y-intercept.

y-intercepts of the line is the value of y at the point where the line crosses the y-axis(i.e x= 0)

From the given figure;

we can see that the line crosses the y-axis at y =2 and also here the slope is , m= 0

therefore, by definition of y-intercepts

y-intercept (b) = 2

Therefore, the equation of line as shoen in figure is:

y = (0)x + 2

y = 2

y-2 = 0

Therefore, the general form of the equation line as shown in the figure is:

y-2 =0

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the 43rd term of an arithmetic sequence is -671 and the 52nd term is -806. find the first term and the common difference.

Bond [772]

Answer:

First term = -41.

Common difference = -15.

Step-by-step explanation:

nth term: an = a1 + (n - 1)d where a = first term and d = the common difference.

-671 = a1 + (43 - 1)d

-806 = a1 +(52 - 1)d

-671 = a1 + 42d

-806 = a1 + 51d

Subtracting ( to eliminate a1):

-671 - (-806) = 42d - 51d

-9d = 135

d = -15

Substitute for d in the first equation:

-671 = a1 + 42*-15

-671 = a1 - 630

a1 = -671 + 630 = -41.

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3 years ago

Choose the graph which represents the solution to the inequality:<br> 3x + 8 ≥ 11

Mashutka [201]

The solution of the inequality is x ≥ 1.

Solution:

Given inequality:

$3 x+8 \geq 11$

To find the solution of the inequality:

$3 x+8 \geq 11$

Subtract 8 from both sides.

$3 x+8-8 \geq 11-8$

$3 x \geq 3$

Divide by 3 on both sides.

$$\frac{3 x}{3} \geq \frac{3}{3}$

On simplifying this, we get

$x \geq 1$

The solution of the inequality is x ≥ 1.

The graph of the solution is attached below.

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3 years ago

Type the correct answer in each box. If necessary, use / for the fraction bar. A bag contains 5 blue marbles, 2 black marbles, a

konstantin123 [22]

Answer:

Step-by-step explanation:

Problem One

Blue = 5

Black =2

Red = 3

First of all there are 10 marbles, 2 of which are black.

That means that 8 others are not black

You can draw any one of the 8.

P(not black) = 8/10 = 4/5

Problem Two

There are 10 marbles in all

3 of them are red.

P(Red) = 3/10

7 0

3 years ago

Evaluate the function f (x)= x squared -4x+1 at the given values of the independent variable and simplify.

Ivan

<h3>Given</h3>

... f(x) = x² -4x +1

... a) f(-8)

... b) f(x+9)

... c) f(-x)

<h3>Solution</h3>

In each case, put the function argument where x is, then simplify.

a) f(-8) = (-8)² -4(-8) +1 = 64 +32 + 1 = 97

b) f(x+9) = (x+9)² -4(x+9) +1

... = x² +18x +81 -4x -36 +1

... f(x+9) = x² +14x +46

c) f(-x) = (-x)² -4(-x) +1

... f(-x) = x² +4x +1

8 0

3 years ago

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ikadub [295]

Answer:

3rd choice

Step-by-step explanation:

(7y^6)(2y^-4)^2

= (7y^6)(4y^-8)

Calculate:

(7y^6) * (4y^-8)

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Express with a positive exponent:

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8 0

3 years ago