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3 years ago

Katrina said that the lines y=-2/3x + 5 and y = -3/2x + 2 are perpendicular. Explain Katrina's error.

Mathematics

2 answers:

Elis [28]3 years ago

8 0

There shouldn't be a negative in front of one of the equations.

Vika [28.1K]3 years ago

7 0

Answer:

product of gradients of the two lines = 1 does not imply the lines being perpendicular, the product of gradients have to instead be equal to -1.

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chubhunter [2.5K]

Answer is 143. See picture for explanation

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2 years ago

Which of the following statements is not correct?

aleksandr82 [10.1K]

That the last one
A parallelogram is not always a rectangle

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3 years ago

The vertex is located at (8.33,236.67). What does this point represent in context

Bezzdna [24]

Answer:

It depends on the situation being modeled.

Step-by-step explanation:

Assuming the vertex (8.33,236.67) is on a quadratic curve modeling height of an object in feet after t seconds.

Then t=8.33s is the time the object reached the maximum height.

The maximum height is the y-value of the vertex, which is 236.67 feet.

In this case the quadratic curve opens downwards.

The vertex is then the maximum point on this curve.

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2 years ago

Read 2 more answers

Find the missing lengths: <br> HI=7 and LH=9, find LK.

Katarina [22]

Answer:

LK=12

Step-by-step explanation:

From the given figure, HI=7 and LH=9, and we know that

$(KH)^{2}=(IH)(HL)$

$(KH)^{2}=7{\times}9$

$(KH)^{2}=63$ (1)

Now, from ΔKHL, we have

$(OH)^{2}=(OK)(OL)$

and from ΔOKH,

$(KH)^{2}=(OH)^{2}+(OK)^2$

$(OK)^2=(KH)^2-(OH)^2$

$(OK)^2=63-(OK)(OL)$

$(OK)^2+(OK)(OL)=63$

$OK(OK+OL)=63$

$OK(KL)=63$ (2)

Also, ΔIKL is similar to ΔOHL, therefore

$\frac{OL}{KL}=\frac{9}{16}$

$\frac{KL-OK}{KL}=\frac{9}{16}$

$1-\frac{OK}{KL}=\frac{9}{16}$

$\frac{7}{16}=\frac{OK}{KL}$

Using equation (2), we get

$\frac{7}{16}=\frac{63}{(KL)^2}$

$(KL)^2=\frac{1008}{7}$

$(KL)^2=144$

$KL=12$

Thus, the value of LK is 12.

8 0

3 years ago

There are 10 people on a basketball team, and the coach needs to choose 5 to put into a game. How many different possible ways c

xenn [34]

Answer:50

Step-by-step explanation:

Multiply both numbers to get answer

3 0

2 years ago