Answer:
Perimeter = 156
Area = 1029
Step-by-step explanation:
Perimeter = 65 +42 49
P = 156
Area = 49*42/2
A = 1029
Answer:
106 and 107
Step-by-step explanation:
Integers are just numbers that doesn't have a decimal point.
1, 2, 3, 4, and 5 are integers.
1.123, 2.45312, 3.5, 7.9 are NOT integers
105 is between 106 and 107.
The equation of the line containing (- 4,5) and perpendicular to the line 5x - 3y = 4 is y = -3 / 5 x + 13 / 5
<h3>How to find the equation of a line?</h3>
The equation of a line can be represented as follows:
y = mx + b
where
Therefore, the equation passes through (-4, 5) and perpendicular to 5x - 3y = 4
Hence,
perpendicular lines follows the rule below:
m₁m₂ = -1
Hence,
5x - 3y = 4
5x - 4 = 3y
y = 5/ 3 x - 4 / 3
m₁ = 5 / 3
5/3 m₂ = -1
m₂ = - 3 / 5
Hence,
using (-4, 5)
5 = - 3 / 5 (-4) + b
5 = 12 / 5 + b
b = 5 - 12 / 5 = 25 - 12 /5 = 13 / 5
Therefore,
y = -3 / 5 x + 13 / 5
learn more on equation of a line here: brainly.com/question/10727767
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Answer:
<em>The ball's speed will be 10 m/s at t=1.22 seconds</em>
Step-by-step explanation:
The vertical motion of an object is controlled by the force of gravity. This means that there is a non-zero net force acting on the object that makes it accelerate downwards.
If the object is thrown upwards at speed vo, its speed at time t is:
Where g is the acceleration of gravity 
Our ball is thrown upwards with v0=22 m/s. We need to calculate the time when its speed is vf=10 m/s.
Solving the above equation for t:
Substituting:
t=1.22 seconds
The ball's speed will be 10 m/s at t=1.22 seconds
Answer:
The correct option is C
Step-by-step explanation:
(x^3 +12x^2 +38x +26) / (x+4)
Use the coefficients of dividend.
And the divisor is -4:
Bring down 1 and multiply it by -4 and add to 12
12-4 = 8
Now multiply 8 by -4 = -32
48-32 = 6
Now multiply 6 by -4 = -24
26-24= R2
1 12 38 26
-4 -32 -24
_______________
1 8 6 R2
Thus the correct option is C ....
