Answer:
1).
2).
Step-by-step explanation:
Here the given equation is 
We have to factor the perfect square trinomial on the left side of the equation
So left side of the equation is 
= 
since [(a+b)²= a²+b²+2ab]
Therefore the factorial form of the equation will be
Now we have to solve the equation by applying square root property
If the current in a stream moves at a rate of 7 mph. If a boat travels 98 miles downstream in the same time that it takes to travel 49 miles upstream then the speed of the boat in still water is 21 miles per hour.
<h3>What is speed?</h3>
Speed is the distance covered by an object in a certain time period. It is also known as velocity. The formula of speed is as follows:
Speed=Distance/ Time.
<h3>How to calculate speed?</h3>
We have been given that the speed of stream is 7miles per hour.
Let v be the speed of the boat, and t the time to travel
98=t*(7+v) (1)
49=t(v-7) (2)
(1)+(2) => 2tv=147
7t+(49+7t)=98
14t+49=98
14t=49
t=49/14
t=7/2
Put the value of t in equation 1 to get the value of v:
98=t(7+v)
98=7/2(7+v)
196/7=7+v
28=7+v
v=28-7
v=21
Hence if the current in a stream moves at a rate of 7 mph. If a boat travels 98 miles downstream in the same time that it takes to travel 49 miles upstream then the speed of the boat in still water is 21 miles per hour.
Learn more about speed at brainly.com/question/4931057
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A cube has 4 "space" diagonals or diagonals within the cube's interior.
On its surface, a cube has 12 "face" diagonals, 2 per each of its six congruent square faces.
So the total number of diagonals is 4 + 12 = 16
There are 3.45 meters in 345cm
Answer:
y = 1/2x + 1
Step-by-step explanation:
find the slope and since it is perpendicular the slope is the opposite reciprocal so it would be 1/2
y = 1/2 x + b and then plug in the coordinate to the equation
3 = 1/2(4) + b
b = 1 and then plug everything back into the equation
y = 1/2x + 1
