Answer:
c = 5 yd
Step-by-step explanation:
using the Pythagorean theorem:
a² + b² = c²
3² + 4² = c²
9 + 16 = c²
c = √25 = 5 yd
Answer:
Step-by-step explanation:.
Answer:
y=2
-7x-4
three linear equations
c=-4 ;4a+b=1 ; 9=a-b
Step-by-step explanation:
Simply assume a standard parabola equation y=a +bx +c
(here a, b, c are three independent variables)
Three coordinates as shown in graph are (0,4), (4,0) ,(-1,5)
Now put these points in the equation of parabola and get three linear equations.
[1] c=-4
[2] 4a+b=1
[3] 9=a-b
Now substitute value of a from equation 2 into 3 in terms of b
a= 
9=-b
b=-7
a=2
y=2 -7x-4
Answer:
4900 Litres
Step-by-step explanation:
First we need a common demoninator:
3/7=15/35
Then we subtract the two to figure out how much 420 Litres is:
15/35-12/35=3/35
3/35=420 litres
Divide amount by the numerater for thow much 1/x is.
1/35=140
and multiply by the denomenator to get a full number on your fraction, and therefore a full tank.
140 x 35 = 4900
Answer:
∠YXZ = 58°
Step-by-step explanation:
Use the angle sum theorem and the given relations.
∠WXY +∠WXV = ∠YXV
∠WXY +(11° +3∠WXY) = 139°
4∠WXY = 128° . . . . . subtract 11°
∠WXY = 32° . . . . . . . divide by 4
Similarly, ...
∠WXY +∠YXZ = 90°
∠YXZ = 90° -∠WXY = 90° -32°
∠YXZ = 58°
