All categories

2 years ago

Which statement verifies that triangle WXY is a right triangle?

Mathematics

2 answers:

kifflom [539]2 years ago

8 0

The slopes of WX and YW are opposite reciprocals.

Schach [20]2 years ago

4 0

Answer:

The statement is slope of WX and YW are opposite reciprocals

Step-by-step explanation:

Given the graph in which triangle is shown

we have to choose the statement that verifies that triangle WXY is a right triangle.

Coordinates of W, X and Y are

W=(-2,3)

X=(2,1.4)

Y=(-4,-2)

To verify the triangle WXY a right triangle, we have to find the slope of these lines

$\text{Slope of line joining the points }(x_1,y_1), (x_2, y_2)\text{ is }$

$slope=\frac{y_2-y_1}{x_2-x_1}$

$\text{Slope of WX=}\frac{1.4-3}{2-(-2)}=\frac{-2}{5}$

$\text{Slope of XY=}\frac{-2-1.4}{-4-2}=\frac{17}{30}$

$\text{Slope of YW=}\frac{-2-3}{-4-(-2)}=\frac{5}{2}$

We see slope of WX and YW are opposite reciprocals that means these two lines are perpendicular which verifies that triangle WXY is a right triangle.

Hence, option 1 is correct

You might be interested in

Eve’s teacher asked her to graph the function y=-cot(x)-1 by reflecting the graph of the function y=cot(x) about the x-axis and

Ronch [10]

Answer:

The correct answer is A: Yes, it matters. The graph of a function y = cot(x) should be reflected about the x-axis before it is translated 1 unit up.

Step-by-step explanation:

The reason being is that when there are two factors that affect a graph's verticality, order does matter. Here is the exact reasoning:

Say you translated 1 unit down first. You would then have y = cot(x) - 1. Then, in order to reflect it about the x axis, you must multiply the entire right side of the equation by negative 1. So now you have y = -1(cot(x) -1), which, when distributed, gives you: y = -cot(x) + 1, instead of y = -cot(x) -1. Therefore, you must reflect before you translate.

And you may be wondering, why then, isn't D correct? Since, you could fix that by translating up 1 and then reflecting, so that you get the final product. Well, it specifies that it can be done in any order. So one way you could get the equation you want, but the other way, you get y = -cot(x) + 1, which, again, is incorrect.

I hope this cleared it up for you!

5 0

2 years ago

Read 2 more answers

Fernando evaluated the expression below. StartFraction 5 (9 minus 5) over 2 EndFraction + (negative 2) (negative 5) + (negative

Rzqust [24]

Answer:

Fernando incorrectly found the product of –2 and –5.

Step-by-step explanation:

Fernando evaluated the numerator of the fraction incorrectly.

Fernando simplified StartFraction 20 over 2 EndFraction incorrectly.

Fernando incorrectly found the product of –2 and –5.

Fernando evaluated (negative 3) squared incorrectly.

Fernando's calculation

5(9-5) / 2 + (-2)(-5) + (-3)^2

= 5(4) / 2 - 10 + 9

= 20/2 - 10 + 9

= 10 - 10 + 9

= 9

Correct calculation

5(9-5) / 2 + (-2)(-5) + (-3)^2

= 5(4) / 2 + (10) + 9

= 20/2 + 10 + 9

= 10 + 10 + 9

= 29

Therefore,

Fernando's error was multiplying (-2)(-5) to be equal to -10 instead of 10

Fernando incorrectly found the product of –2 and –5.

5 0

2 years ago

Read 2 more answers

A certain company reported selling 5,000 toys during the month of January and expects sales to grow at a rate of 7.5% per month

artcher [175]

The formula is
Fv=p [(1+r)^(t)-1)÷r)
Fv ?
P 5000
R 0.075
T 6. June
Fv=5000 [(1+0.075)^(6)-1)÷0.075]
Fv=36220....answer

6 0

2 years ago

Read 2 more answers

You and a classmate have a bug collection for science class. You ﬁnd 5 out of every 9 bugs in the collection. You ﬁnd 4 more bug

FrozenT [24]

Answer:

The total number of bugs in the collection is 36

Step-by-step explanation:

Let

x -----> the number of bugs that you find out

y ----> the number of bugs that the classmate find out

we know that

$\frac{x}{y+x} =\frac{5}{9}$ -----> equation A

$x=y+4$ ----> equation B

Solve the system by graphing

Remember that the solution is the intersection point both graphs

The solution is the point (20,16)

The total number of bugs in the collection is

$(20+16)=36\ bugs$

5 0

2 years ago

A piecewise function f(x) is defined as shown. f(x) = StartLayout enlarged left-brace 1st Row 1st column negative five-fourths x

SVEN [57.7K]

Answer:

A 2-column table has 3 rows. The first column is labeled x with entries 40, 160, 200. The second column is labeled y with entries 60, 15, 0.

Step-by-step explanation:

All of the tables have x=40 in the first column. The function value there is ...

f(x) = (-3/8)(40) +75 = -15 +75 = 60

Only the last table has y = 60 for x = 40.

A check of the other points in that table shows they are all on the same (second) piece of the graph, as required by the problem statement. Those points are marked with a purple x in the attachment.

8 0

2 years ago

Read 2 more answers