Step-by-step answer:
A line with slope (or gradient) m, passing through a point (x0,y0) can be represented by the equation:
(y-y0) = m(x-x0) ......................(1)
Here,
(x0,y0) = (1,7), and
slope/gradient = -2
Substitute values into (1) above gives
(y-7)=2(x-1)
Expand and simplify
y-7 = 2x-2
y =2x -2 + 7
y=2x+5
is the final answer.
The <u>correct answer</u> is:
As x→-∞, y→-3.
As x→∞, y→∞.
Explanation:
As our values of x get further into the negative numbers, the value of 2ˣ will approach 0. This is because raising a number to a negative exponent "flips" the number below the denominator and raises it to a power; we end up with smaller and smaller fractions, eventually so small that they nearly equal 0.
This will make the value of the function 0-3=-3.
As x gets larger and larger (towards ∞), the value of y, 2ˣ, continues to grow as well. Since it continues to grow exponentially, we say the value approaches ∞.
<span>Using whole numbers, fractions, and decimals, these are the eight addition equations that have the sum of 10
</span>1. 5+5=10
2. 1 1/2 + 8 1/2 =10
3. 2.9+7.1=10
4. 6 1/3 + 3 2/3 =10
5. 4 3/5 + 5 2/5=10
6. 9.01+.99=10
7. 3.72+6.28 = 10
8. 8 8/9+ 1 1/9=10
Answer:
Choice A. 3.
Step-by-step explanation:
The triangle in question is a right triangle.
- The length of the hypotenuse (the side opposite to the right angle) is given.
- The measure of one of the acute angle is also given.
As a result, the length of both legs can be found directly using the sine function and the cosine function.
Let 
denotes the length of the side opposite to the 
acute angle, and 
be the length of the side next to this acute angle.
.
Similarly,
.
The longer leg in this case is the one adjacent to the acute angle. The answer will be 
.
There's a shortcut to the answer. Notice that 
. The cosine of an acute angle is directly related to the adjacent leg. In other words, the leg adjacent to the angle will be the longer leg. There will be no need to find the length of the opposite leg.
Does this relationship 
holds for all acute angles? (That is, 
?) It turns out that:
Answer:
72.5mph
Step-by-step explanation:
There is an easy way to work this. Divide the miles he drove by 2 so that you know how much he drove in 1/5 hours.
29/2= 14.5miles driven in 1/5 hours
Now, just multiply that number by 5 so that you know how many miles he drove in 5/5 hours (one full hour).
14.5*5= 72.5miles
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