All categories

2 years ago

Determine the x- and the y-intercepts of these graphs. a) y = x-2

Mathematics

1 answer:

Ivanshal [37]2 years ago

5 0

Answer:

y-intercept = (0, -2)

x-intercept = (2, 0)

Step-by-step explanation:

The y-intercept is the value of y when x = 0. Therefore, Given the linear equation, y = x - 2:

Let x = 0:

y = 0 - 2

y = -2.

Therefore, the y-intercept of the linear equation, y = x - 2 is (0, -2).

The x-intercept is the value of x when y = 0.

Therefore, let y = 0:

y = x - 2

0 = x - 2

Isolate x by adding 2 to both sides of the equation:

0 + 2 = x - 2 + 2

2 = x

Therefore, the x-intercept is (2, 0).

You might be interested in

2/5-1/4 simplified please help will make brainliest

Vlad1618 [11]

Answer:

8/20-5/20

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

Points H and F lie on circle c What is the length of line segment GH?

Nina [5.8K]

Answer:

6 units

Step-by-step explanation:

Given: Points H and F lie on circle with center C. EG = 12, EC = 9 and ∠GEC = 90°.

To find: Length of GH.

Sol: EC = CH = 9 (Radius of the same circle are equal)

Now, GC = GH + CH

GC = GH + 9

Now In ΔEGC, using pythagoras theorem,

$(Hypotenuse)^{2} = (Base)^{2} +(Altitude)^{2}$ ......(ΔEGC is a right triangle)

$(GC)^{2} = (GE)^{2} +(EC)^{2}$

$(GH + 9)^{2} = (9)^{2} +(12)^{2}$

$(GH )^{2} + (9)^{2} + 18GH = 81 + 144$

$(GH )^{2} + 81 + 18GH = 81 + 144$

$(GH )^{2} + 18GH = 144$

Now, Let GH = <em>x</em>

$x^{2} +18x = 144$

On rearranging,

$x^{2} +18 x - 144 = 0$

$x^{2} - 6x +24x + 144 = 0$

$x (x-6) + 24 (x - 6) =0$

$(x - 6) (x + 24) = 0$

So x = 6 and x = - 24

∵ x cannot be - 24 as it will not satisfy the property of right triangle.

Therefore, the length of line segment GH = 6 units. so, Option (D) is the correct answer.

3 0

2 years ago

Read 2 more answers

A 2-digit number is one more than 6 times the sum of its digits. If the digits are reversed, the new number is 9 less than the o

kramer

Answer:

I think the answer is 43

8 0

2 years ago

For the function f(x)=|x−7|−4, evaluate f(x+1).

GarryVolchara [31]

Answer:

$\displaystyle{f(x+1)=|x-6|-4}$

Step-by-step explanation:

To evaluate $\displaystyle{f(x+1)}$ , substitute $\displaystyle{x}$ to $\displaystyle{x+1}$ so we should have:

$\displaystyle{f(x+1) = |x+1-7|-4}$

Evaluate the expression and finally, we have:

$\displaystyle{f(x+1)=|x-6|-4}$

Learn More

brainly.com/question/27923727 - How to find inverse and value of function

6 0

2 years ago

Samir and Christian had a total of 360 marbles Samir lost 28 marbles while Christian brought 18 more marbles both of them had an

Musya8 [376]

The answer to question is whether you want me some of your questions about the question of the answer to answer question i question is the B.

5 0

3 years ago

Read 2 more answers

Determine the x- and the y-intercepts of these graphs. a) y = x-2​

Determine the x- and the y-intercepts of these graphs. a) y = x-2