Answer:
15
Step-by-step explanation:
First, solve for Line 1
3x + 4y = -14
<em>move the x to the right of the equation</em>
4y = -3x - 14
<em>divide the whole equation by 4 </em>
y = -3/4x - 14/4
<u>Line 1 is y = -3/4x - 7/2 </u>
Then, solve for Line 2
Since Line 2 is perpendicular, change the sign of the slope of Line 1 and then get the reciprocal of that.
-3/4 to 3/4 to 4/3
4/3 is the slope of Line 2.
Now, we want to find what the b of the equation is, so we can plug in our x (-5) and our y (7) into the y=mx+b equation to find b. The 4/3 is the m or the slope.
y = mx + b
<em>plug in the y, m, and x into the equation</em>
7 = (4/3)(-5) + b
<em>multiply the m and x together </em>
7 = -20/3 + b
<em>add 20/3 to both sides so it will cancel out on the right of the equation and be added to the 7 on the left of the equation</em>
<u>41/3 = b </u>
So, m = 4/3 and b = 41/3
Add them together and you get 45/3 or 15.
I hope this helped!
Answer:
y= 
x-
Step-by-step explanation:
The first step to making an equation of a line is finding the slope. To do this, we can use the point slope formula: 
In this case,
y2=1
y1= -2
x2=5
x1= -4
plug this into the formula: 
, which gives us 3/9, or 1/3 as the slope.
Now we have the equation y=1/3x+b. Let's find b! We can do this by plugging in one of the points into our new equation, let's use (5,1)
1=y, 5=x
1=(5)+b
b= -
now, we plug b= -2/3 into our equation, and we finally get y= x-
9514 1404 393
Answer:
- tan B = 12/5
- cos B = 5/13
- sin B = 12/13
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the applicable ratios:
Tan = Opposite/Adjacent ⇒ tan B = CA/CB = 12/5
Cos = Adjacent/Hypotenuse ⇒ cos B = BC/BA = 5/13
Sin = Opposite/Hypotenuse ⇒ sin B = AC/AB = 12/13
Answer:
79.5
Step-by-step explanation:
a^2 =b^2+ c^2-2bc cos A
cos p = 73^2+35^2-75^2/2(73)(35)
cos p= 9229/5110
cosp=79.5
