1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
blagie [28]
4 years ago
5

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

Mathematics
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
You might be interested in
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
Other questions:
  • If 2 and 4 each divide q without remainder which of the following must q divide without remainder
    5·2 answers
  • What two numbers have a product of -6 and a sum of -1?
    14·1 answer
  • Tina is the top seller of the store. She earns a salary plus 2%. Tina's salary is $30,000 a year. This month her sales were $48,
    12·1 answer
  • Bro 50 points to whoever answers these with steps
    14·2 answers
  • How many teams of 3 students can be chosen from a group of 12 students?
    7·2 answers
  • What is .09 in words
    5·1 answer
  • I need help someone please ????
    13·1 answer
  • 66,66,70,88.........?,236​
    6·1 answer
  • What is the median of this data set? O A) 88 OB) 87 OC) 75 OD) 95​
    11·1 answer
  • Question below.............
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!