Answer:
x = √(10)/2
Step-by-step explanation:
Here, we want to get the measure of the side marked x
what we have is an isosceles right triangle since the two acute angles of the right triangle are 45 degrees each
Hence, the other last side will measure x too
Mathematically, according to Pythagoras’; the square of the hypotenuse equals the sum of the squares of the two other sides
Thus;
x^2 + x^2 = (√5)^2
2x^2 = 5
x^2 = 5/2
x = √(5/2)
x = √5/√2
Rationalizing the denominator;
x = (√2 * √5)/(√2 * √2)
x = √10/2
Answer:
y+5=-3/4(x+6)
or in slope intercept
y= -3/4x-38/4
Step-by-step explanation:
To write the equation of a line we must have a slope and a point. To find the slope we use the slope formula and substitute (x,y) points in it as shown below:
Now that we have the slope, plug in the slope and choose one point to plug into the point slope formula. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form.
(y--5)=-3/4(x--6)
y+5=-3/4(x+6)
y+5=-3/4x-18/4
y=-3/4x-18/4-20/4
y= -3/4x-38/4
Subtract the 45 minutes they were eating from 1:45pm since that’s when they arrived. You now have 1:00pm, you now just need to find out how long it is from 10:20 am to 1:00pm. HINT: it’s 2h 40m
Answer:heyyy there...the answer is b that is -12x^3+12x^2-20
Step-by-step explanation:
<h3>f(x)=
-12x^3+19x^2-5</h3><h3>g(x)=
7x^2+15</h3><h3>f(x)-g(x)=(
-12x^3+19x^2-5)-( 7x^2+15)...{while opening the bracket the sign of the second polynomial changes accordingly}</h3><h3>
it becomes -12x^3+19x^2-5-7x^2-15</h3><h3>
=-12x^3+12x^2-20</h3><h3>
HOPE IT HELPED UUUU</h3>
Answer:
x = 6
y = -6
Step-by-step explanation:
By adding both equations :-
=》-4x -2y + 4x + 8y = -12 + (-24)
=》-4x + 4x + 8y - 2y = -12 - 24
=》6y = -36
=》y = -36 ÷ 6
=》y = -6
putting the value of y in equation 2
=》4x + 8y = -24
=》4x + (8 × -6) = -24
=》4x - 48= -24
=》4x = 48 - 24
=》x = 24 / 4
=》x = 6
