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stira [4]
3 years ago
5

How do you write an equation for a a line perpendicular to a line with only having the equation and not graphing?

Mathematics
2 answers:
slamgirl [31]3 years ago
8 0
Perpendicular lines gradients times to get -1 so you just use a line with any y intercept but the gradient must times with the gradient you already have to get minus one.
Arturiano [62]3 years ago
7 0
Put each formula in y=mx+b form, then find the inverse of m.  
Ex: 
1. x+y=2
y=x-2
the inverse of 1 is -1 so the perpendicular line would be y=-x-2
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Find the measurement of Angle SPQ
Harrizon [31]

Answer:

146 °

Step-by-step explanation:

sum of angles in circle = 360°

360 - 154-60-86 = 60

60 = UPS

SPQ = UPS + QUP = 60 + 86 = 146°

6 0
3 years ago
Read 2 more answers
Help with this please
aliina [53]
AB = 6 cm, AC = 12 cm, CD = ?

In triangle ABC, ∠CBA = 90°, therefore in triangle BCD ∠CBD = 90° also.

Since ∠BDC = 55°, ∠CBD = 90°, and there are 180 degrees in a triangle, we know ∠DCB = 180 - 55 - 90 = 35°

In order to find ∠BCA, use the law of sines:
 
sin(∠BCA)/BA = sin(∠CBA)/CA
sin(∠BCA)/6 cm = sin(90)/12 cm
sin(∠BCA) = 6*(1)/12 = 0.5
∠BCA = arcsin(0.5) = 30° or 150°
We know the sum of all angles in a triangle must be 180°, so we choose the value 30° for ∠BCA

Now add ∠BCA (30°) to ∠DCB = 35° to find ∠DCA.
∠DCA = 30 + 35 = 65°

Since triangle DCA has 180°, we know ∠CAD = 180 - ∠DCA - ∠ADC = 180 - 65 - 55 = 60°

In triangle DCA we now have all three angles and one side, so we can use the law of sines to find the length of DC.

12cm/sin(∠ADC) = DC/sin(∠DCA)
12cm/sin(55°) = DC/sin(60°)
DC = 12cm*sin(60°)/sin(55°)
DC = 12.686 cm
3 0
3 years ago
A​ golf-course architect has six linden​ trees, four white birch​ trees, and three bald cypress trees to plant in a row along a
JulijaS [17]

Total number of trees n = 4 + 3 + 3 = 10. Count the number of each different trees. n1=4, n2=3, n3=3. Number of ways the landscaper plant the trees in a row is = 10 ! / ( 4! * 3! * 3! ) = 3628800 / ( 24 * 6 * 6 ) = 3628800 / 864 = 4200 ways.

Therefore, the trees can be planted 4200 ways

6 0
3 years ago
a bucket contains 3 1/2 gallon of water. If Marie adds 5 gallons more, how many gallons of water will there be in all?​
Klio2033 [76]

Answer:

8 1/2

because 3 + 5= 8+ 1/2= 8 1/2

5 0
2 years ago
Mary has 15 points with the total value of $1.75 if the coins are nickels and quarters how many of each kind are there
torisob [31]

Answer:

The number of nickel coins is 10 and the number of quarter coins is 5

Step-by-step explanation:

<u><em>The correct question is</em></u>

Mary has 15 coins with the total value of $1.75 if the coins are nickels and quarters how many of each kind are there

Let

x ----> the number of nickel coins

y ----> the number of quarter coins

Remember that

1\ nickel=\$0.05

1\ quarter=\$0.25

we know that

Mary has 15 coins

so

x+y=15 -----> equation A

The total value of the coins is $1.75

so

0.05x+0.25y=1.75 ----> equation B

Solve the system by graphing

Remember that the solution is the intersection point both graphs

using a graphing tool

The solution is the point (10,5)

therefore

The number of nickel coins is 10 and the number of quarter coins is 5

8 0
3 years ago
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