The pythagorean theorem states that the sum of the squares of two legs of a right triangle is equivalent to the hypotenuse.
So:
35^2 + b^2 = 40^2
1225 + b^2 = 1600
b^2 = 375
b =
b = 19.3649
<u>The missing side's length rounded to the nearest tenth is Option C, 19.4</u>
Answer:
The slope intercept form involves solving for y, such that the equation looks like this: y = mx + b, where m is a constant representing the slope of the line, and b is a constant representing the value of the y-intercept.
Starting with the equation x+2y=6 and subtracting x from both sides gives 2y = -x + 6.
If we then divide each term by 2, we get the final result of y = -1/2x + 3.
Here we see that the slope (m) is equal to -1/2, and the y-intercept (b) is 3.
Step-by-step explanation:
Answer:
<em><u>3</u></em><em><u>(</u></em><em><u> </u></em><em><u>x </u></em><em><u>+</u></em><em><u> </u></em><em><u>2</u></em><em><u> </u></em><em><u>)</u></em><em><u>. </u></em><em><u>=</u></em><em><u> </u></em><em><u>5</u></em><em><u>(</u></em><em><u> </u></em><em><u>x </u></em><em><u>-</u></em><em><u> </u></em><em><u>2</u></em><em><u>)</u></em>
<em><u>3</u></em><em><u>x</u></em><em><u> </u></em><em><u>+</u></em><em><u> </u></em><em><u>6</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>5</u></em><em><u>x</u></em><em><u> </u></em><em><u>-</u></em><em><u> </u></em><em><u>1</u></em><em><u>0</u></em>
<em><u>-2x </u></em><em><u>=</u></em><em><u> </u></em><em><u>-</u></em><em><u> </u></em><em><u>1</u></em><em><u>6</u></em><em><u> </u></em>
<em><u>minus,</u></em><em><u>minus </u></em><em><u>cancel</u></em>
<em><u>x </u></em><em><u>=</u></em><em><u> </u></em><em><u>1</u></em><em><u>6</u></em><em><u>/</u></em><em><u>2</u></em><em><u> </u></em>
<em><u>x </u></em><em><u>=</u></em><em><u> </u></em><em><u>8</u></em><em><u> </u></em>
Answer:
(7,-2)
Step-by-step explanation:
G is currently at (2, 0)
(2+5, 0-2) becomes (7, -2)
P(TTTTT)=P(T)*P(T)*(PT)*P(T)*P(T)
P(TTTTT)=(P(T))^5
P(T)=1/2 so
P(TTTTT)=(1/2)^5
P(TTTTT)=1/32
P(TTTTT)=3.125%