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3 years ago

Write the equation of a line perpendicular to the

Mathematics

1 answer:

Gre4nikov [31]3 years ago

6 0

Answer:

y=(1/2)x +0

Step-by-step explanation:

The perpendicular slope formula is just the opposite reciprocal of the original slope.

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Need a little help. If anyone knows and would like to answer, I would highly appreciate that :)

jonny [76]

9x+4=5x+20
——————
9x-5x=20-4
—————-
4x=16
————-
X=4
————
My deepest apologies if my answer turned out to be wrong but i tried my best so best of wishes!!

8 0

3 years ago

U.S cities hire about 17,000 police officers per 10,000 residents for a 17/10,000 ratio a new police chief for a city of 35,000

mina [271]

Answer: 59,500

Step-by-step explanation:

Given

For 10,000 residents, 17,000 police officers are hired

The ratio of Police officers and citizens is constant

So, for 35,000 citizens suppose x officers are hired

$\Rightarrow \dfrac{17,000}{10,000}=\dfrac{x}{35,000}\\\\\Rightarrow x=1.7\times 35,000\\\\\Rightarrow x=59,500$

Thus, 59,500 officers are required.

8 0

3 years ago

Simplify the expression: sin^4x cosx/ cos^4x sinx

netineya [11]

Answer:

$tan^3x$

Step-by-step explanation:

We want to simplify:

$\frac{\sin^4x\cos x}{\cos^4x\sin x}$

This is the same as:

$\frac{\sin^3x \sin x\cos x}{\cos^3x \cos x\sin x}$

Cancel out the common factors to get;

$\frac{\sin^3x}{\cos^3x}$

This is the same as

$(\frac{\sin x}{\cos x} )^3=tan^3x$

4 0

4 years ago

Start with Chanel’s sequence. How does a 90-degree counterclockwise rotation about the origin change the coordinates of a shape?

zmey [24]

When a shape is rotated, it must be rotated through a point.

90 degrees counterclockwise rotation negates the y-coordinates, and then swap the x and y-coordinates
Chanel is incorrect

The rule of 90 degrees counterclockwise is:

$(x,y) \to (-y,x)$

This means that:

The y-coordinate is negated
Then the y and x coordinates are swapped

However, Charlies transformation is incorrect.

This is so because, the shape was not rotated, but instead it was reflected across the x-axis.
Then, the shape was dilated

Using points L and Q

$L=(1,1)$

When L is reflected across the x-axis.

The rule is:

$(x, y) \to (x, -y)$

So, we have:

$(1, 1) \to (1, -1)$

Next, it is dilated by 2.

The rule of this is:

$(x,y) \to k(x,y)$

So, we have:

$(1,1) \to2 \times (1,-1)$

$(1,1) \to (2,-2)$

From the diagram, the coordinate of Q is:

$Q = (2,-2)$

Same as the calculated point

Hence, Chanel is incorrect