Answer:
first one is a 20 prcent decrease from x to y
and for the second one is it a 37.5 percent increase
Step-by-step explanation:
hope this helped
Answer:
x=0 x=-5 x=2
Step-by-step explanation:
4x3 + 12x2 = 40x
Subtract 40x from each side
4x3 + 12x2 - 40x=0
Factor out 4x from each term
4x( x^2 +3x-10) =0
Factor the term insdie the parentheses
What 2 numbers multiply to -10 and add to 3
5*-2 =-10
5+-2 =3
We have (x+5) (x-2)
Replace that in the equation
4x ( x+5) (x-2) =0
Using the zero product property
4x= 0 x+5 =0 x-2 =0
x=0 x=-5 x=2
193%...(to turn to decimal divide by 100) = 1.93
1.93 as a mixed number = 1 93/100
If you look along the downward sloping line you can see that:
85+2x+x-10=180 combine like terms on left side
3x+75=180 subtract 75 from both sides
3x=105 divide both sides by 3
x=35
Now if L and M are parallel, angle 3 must be equal to x-10 because they are vertical angles (equal opposing angles). We know now that x=35 so:
angle 3 =35-10=25°
I'm going to assume the 2 shapes are both squares. ABCD has side of 4, BPQR has side of 5.
BP=5 AB=4 We can use Pythagorean theorem to see easily that AR= sqrt(5^2-4^2)=3.
Next step, we can see that angle A and angle D are both equal to 90 degrees. And angle DRS = <A+<ABR-<BRQ (exterior angles theorem) and <BRQ - <A= 90 degrees. Therefore...
triangle DRS is similar to triangle ABR so RD/SD=AB/AR=4/3
and RD=5-3=2 So SD is 3/2 because 2/ 3/2= 2*2/3 = 4/3 like above.
Now we can find shaded area by subtraction from square ABCD.
16-3*4/2-2*(3/2) /2=16-6-3/2=10-3/2=17/2.
I hope this answer helped if you have any question just ask in the comment!