slope line of q= -1/2
perpendicular slopes are those that are opposite sign and reciprocal to the given slope
Answer:
Because the triangle is a 45-45-90 triangle, the n and m should be the same lengths. For these types of triangles, the hypotenuse is 
and the side lengths are x. Because we are given the length of the hypotenuse, we need to find the x-value. The equation should be 6=. Simplify to get x=
. So, the length of n and m should both be .
Answer:
x=ln(61)/ln(4)
Step-by-step explanation:
4^x+3=64
4^x=64-3
4^x=61
x=ln(61)/ln(4)
Answer:
y= 1/2x + 17/2
Step-by-step explanation:
First, find your slope using y-y1/x-x1. This is your expression: 10-6/3--5. 10-6 equals 4, and 3--5 equals 8. Your slope is 4/8, but it can be simplified to 1/2. This should be your current equation: y=1/2x+b. Plug in one of your ordered pairs to the equation, it doesn't matter which pair you want to use. I'm using the second ordered pair, so this is what you would have: 10=1/2(3)+b. Multiply 1/2 by 3 to get 3/2. This is what it should look like: 10=3/2+b. Subtract 3/2 from both sides to get your y-intercept of 17/2. Go back to your original equation and plug in your y-intercept. This is your final answer: y= 1/2x + 17/2. Hope this helped!
Step-by-step explanation:
solution,
given
DF = 42
DE = 7x+1
EF = 4x-3
DE = ?
here,
or, DF = DE +EF
or, 42 = 7x+1+4x-3
or, 42 = 11x-2
or, 42+2 = 11x
or, 44/11 = x
or, 4 = x
then,
replacing value of x in DE
DE = 7x+1
= 7*4+1
= 28+1
= 29
