First to get the equation you knew to understand one thing about perpendicular lines. The slope of the line is the opposite reciprocal of the perpendicular lines or the new slope is m = 10.
Then you use the formula
y = mx + b
you plug in your values from the point and the new slope.
(1,5) with new slope m
5= 10(1)+b
5-10=b
-5 = b
then make your new equation
y = 10x -5
that's your line that goes through point (1,5) and is perpendicular to the line given
Answer:
The area of the given figure is
.
Step-by-step explanation:
To find out the area we should have to redraw the figure having nomenclature ABCDE and join BD. Thus we have a rectangle ABDE and a triangle BCD.
The new figure is in the attachment.
Given,
Length of AE = 7 cm
Length of DE = 8 cm
Length of CF = 11 cm
Solution,
Area of rectangle ABDE = 
Area of ABDE = 
Now for triangle BCD,
Length of BD = length of AE = 7 cm
Length of GF = Length of DE = 8 cm
∴ Length of CG = Length of CF-Length of GF = 
Area of triangle BCD = 
Area of BCD = 
Area of ABCDE = Area of ABDE + Area of BCD = 
Thus the area of the given figure is
.
I need the same question as this
9514 1404 393
Answer:
x = 136
Step-by-step explanation:
The angle marked x° is half the sum of the intercepted arcs:
x° = (130° +142°)/2 = 272°/2
x = 136
I'd like to see some of your own efforts here. This is the third time you've posted two "factor completelyl" problems, without sharing what you've already done.
<span>3v^2 - 8v - 16 cannot be reduced. Thus, your best choice to find roots is to apply the quadratic formula:
8 plus or minus sqrt( 64-4(3)(-16) )
v = ---------------------------------------------------
2(3)
8 plus or minus sqrt( 64 + 192 )
= ---------------------------------------------
6
8 plus or minus sqrt(256)
= -------------------------------------
6
= 8 + 16, all divided by 6, or 8 - 16, all divided by 6
= 4 or -8/6, or 4 or -4/3.
The factors are (v-4) and (v + 4/3).</span>