Answer:
m=-1
Step-by-step explanation:
2.3-5m=9.8+2.5m
+5m=9.8+5m
2.3=9.8+7.5m
-9.8 -9.8
-7.5=7.5m
/7.5 /7.5
-1=m
Answer:
measure angle D = 62
Step-by-step explanation:
as the sum of measures of triangle =180
then (8x-40)+(4x-10)+(3x+20)=180
15x-30=180
x=(180+30)/15=14
XYZ SIMILAR TO PDQ
Y=D=3*14+20=62
Answer:
a) 96m
b) 2 m/s^2
Step-by-step explanation:
The distance travelled in a velocity time graph as shown in the image is the area of the shape. As such, considering the first 14 seconds, the distance covered will be computed by finding the area of the shape.
Note that the shape to be considered ends t the 14 seconds mark. This shape is a trapezium. The area of a trapezium is given as
A = 1/2(a + b) h
where a and b are the parallel sides of the trapezium and h is the height As such, the distance covered in the first 14 seconds
= 1/2 (14 + 10) * 8
= 4 * 24
= 96m
The acceleration after 4 seconds
Acceleration is the rate of change of velocity with time, at time 0 second, the velocity is also 0 but at time 4 seconds, the velocity is 8 m/s hence, the acceleration after 4 seconds
= 8/4
= 2 m/s^2
To solve this problem you must apply the proccedure shown below:
1. When you plot the given points, you obtain a trapezoid, therefore, you must apply the formula for calculate the area of a trapezoid, which is:
Where 
is the larger base, 
is the smaller base and 
is the height.
2. The dimensions are:
3. Substitute values:
The answer is: 
7272=2(length+width)
Length =6 + 2 width
7272=2( 6+2width +width)
3636= 6+ 3width
3630=3 width
Width= 1210
Length = 6+2(1210)=2426
