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4 years ago

5

How can you tell if a lines is perpendicular based on their slope?

1 answer:

babymother [125]4 years ago

7 0

You can find the slope of both lines. If they are perpendicular lines, then their slopes should be e negative reciprocal to each other. So if one lines slope is 3, then the line that is perpendicular should be -1/3

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Suppose Angel is shooting baskets and makes 40% of the 15 shots. Does he get a prize? Explain your reasoning

maksim [4K]

No because it is 15 shots

6 0

3 years ago

Find the image of (-1,3) obtained by translating 2 units down, followed by a rotation of 270 degrees counterclockwise about the

slamgirl [31]

Answer:

[1, 1]

Step-by-step explanation:

Translation → [-1, 3] moves down to [-1, 1]

Now, a <em>90°-clockwise rotation</em> is the exact same as a <em>270°-counterclockwise rotation</em>, and according to the <em>270°-counterclockwise rotation</em> [<em>90°-clockwise rotation</em>] <em>rule</em>, you take the y-coordinate, bring it over to your new x-coordinate, and take the OPPOSITE of the x-coordinate and set it as your new y-coordinate:

<u>Extended Rotation Rules</u>

270°-clockwise rotation [90°-counterclockwise rotation] >> (<em>x, y</em>) → (<em>-y, x</em>)
270°-counterclockwise rotation [90°-clockwise rotation] >> (<em>x, y</em>) → (<em>y, -x</em>)
180°-rotation >> (<em>x, y</em>) → (<em>-x, -y</em>)

Then, you perform your rotation:

270°-counterclockwise rotation [90°-clockwise rotation] → [-1, 1] moves to [1, 1]

I am joyous to assist you anytime.

7 0

3 years ago

What is the answer ?

Len [333]

Answer:

Thus, option (c) is correct.

β = 61.5

Step-by-step explanation:

Given , $\sin (\frac{x}{2}+20x)=\cos(2x+\frac{15x}{2})$ , we have to solve for x, and then find the value of β ( β > α )

Consider $\sin (\frac{x}{2}+20x)=\cos(2x+\frac{15x}{2})$ ,

First solve for x ,

$\Rightarrow \sin (\frac{x}{2}+20x)=\cos(2x+\frac{15x}{2})$

$\Rightarrow \sin (\frac{x+40x}{2})=\cos(\frac{4x+15x}{2})$

Thus, $\Rightarrow \sin (\frac{41x}{2})=\cos(\frac{19x}{2})$

Also, $\sin (90-\theta)=\cos \theta$ , we get,

Thus, $\Rightarrow \cos (90-\frac{41x}{2})=\cos(\frac{19x}{2})$

since, LHS = RHS thus, angle must be equal,

$\Rightarrow 90-\frac{41x}{2}=\frac{19x}{2}$

$\Rightarrow 90=\frac{19x}{2}+\frac{41x}{2}$

$\Rightarrow 90=\frac{19x+41x}{2}$

$\Rightarrow 90=\frac{60x}{2}$

$\Rightarrow x=3$

Thus, $\frac{x}{2}+20x=\frac{3}{2}+20(3)=\frac{3}{2}+60=61.5$ ,

Other angle can be found using angle sum property, as sum of angle of a triangle is 180°

Let third angle be y, then ,

90 + 61.5 + y = 180°

y = 180° - 151.5°

y = 28.5°

Since ( β > α ) ⇒ β= 61.5 and α = 28.5

Thus, option (c) is correct.

⇒ β = 61.5

7 0

3 years ago

Solve 4x + 3 + 3(2x—5)

shutvik [7]

Combine like terms (4x+6)(2x-5)
foil 8x^2-20x+8x+1
set equal to zero and use quadratic formula
x=23/16 and x=1/16

7 0

3 years ago

Read 2 more answers

rowing team is practicing on a river. When the boat travels downstream, the current increases the speed of the boat. But when th

Nostrana [21]

The answer is: The team traveled at 8 km per hour upstream and 20 km per hour downstream.

Hope this helps!

~LENA~

5 0

4 years ago