All categories

3 years ago

Triangle XYZ is reflected across the y-axis, and X = (4,-5). What are the coordinates of X’ ?

1 answer:

6 0

The correct answer is B.

You can come to this decision by picturing the initial point in your mind. Point X has a positive x-value and a negative y-value. This puts it in quadrant 2 on the coordinate plane. Now, if you flip that point over the y-axis, that makes its new location in quadrant three. In quadrant three, both the x and y coordinates are negative. So, the value wouldn’t change but both would become negatives.

I hope this helps. :)

You might be interested in

The family size bottle of sunscreen holds 12 fluid ounces of sunscreen. The regular bottle holds 75% less. How many fewer fluid

vladimir1956 [14]

9 fluid ounces
12<span>×</span>0.75=9

6 0

2 years ago

Read 2 more answers

Look at the right-angled triangle ABC.

Nikolay [14]

Answer:

∠x = 90°

∠y = 58°

∠z = 32°

Step-by-step explanation:

The dimensions of the angles given are;

∠B = 32°

Whereby ΔABC is a right-angled triangle, and the square fits at angle A, we have;

∠A = 90°

∴ ∠B + ∠C = 90° which gives

32° + ∠C = 90°

∠C = 58°

∠x + Interior angle of the square = 180° (Sum of angles on a straight line)

∴ ∠x + 90° = 180°

Hence;

∠x = 90°

∠x + ∠y + 32° = 180° (Sum of angles in a triangle)

∴ 90° + ∠y + 32° = 180°

∠y = 180 - 90° - 32° = 58°

∠y + ∠z + Interior angle of the square = 180° (Sum of angles on a straight line)

58° + ∠z +90° = 180°

∴ ∠z = 32°

∠x = 90°

∠y = 58°

∠z = 32°

3 0

2 years ago

GIven the function f(x) = 3x +1: (A) Find the inverse of f^-1(x). (B) Find f^-1(6)

Pani-rosa [81]

The inverse function is equal to f-1(x) = (x - 1)/3 and the value at f-1(6) is equal to 5/3.

To find the inverse, you need to switch the f(x) and x in the equation. Then you can solve for the new f(x). The result will be the inverse (f-1)

f(x) = 3x + 1 ----> Switch f(x) and x

x = 3f(x) + 1 ----> Subtract 1

x - 1 = 3f(x) ----> Divide by 3.

f-1(x) = (x - 1)/3

Now that we have the inverse, we can plug 6 in to get the value at f-1(6).

f-1(x) = (x - 1)/3

f-1(6) = (6 - 1)/3

f-1(6) = 5/3

3 0

2 years ago

Y is inversley proportionaly to x. when y=7, x=9

mrs_skeptik [129]

The equation is y = 63/x

And y = 3 when x=21

Step-by-step explanation:

When y varies inversely with x, The inverse proportion is given by:

y ∝1/x

When the proportionality symbol is removed, a constant of proportionality is introduced

$y = \frac{k}{x}$

Putting y = 7 and x = 9

$7 = \frac{k}{9}\\k = 9*7\\k = 63$

So,

$y = \frac{63}{x}$

Putting x =21

$y = \frac{63}{21}\\y = 3$

Hence,

The equation is y = 63/x

And y = 3 when x=21

Keywords: Proportion, variables

Learn more about proportion at:

#LearnwithBrainly

8 0

2 years ago

Please Help this is Due in 1 hour and I really dont understand any of this. (Question in Image)

Lerok [7]

Answer:

(-4, -1/2)

Step-by-step explanation:

Just by looking at the graph I can estimate that the midpoint of AB is (-4, -1/2) but we can also use midpoint formula to get a for sure answer.

Midpoint Formula: <em>((x1 + x2)/2, (y1 + y2)/2)</em>

x: (-5 + (-3))/2

-8 / 2

x = -4

y: (-4 + 3)/2

-1 / 2

y = -1/2

6 0

2 years ago