Answer:
8
Step-by-step explanation:
Let x represent the length of the shortest side. Then (x+7) is the length of the longer side, and (3x-7) is the length of the hypotenuse. The Pythagorean theorem gives the relation ...
(3x -7)² = x² +(x +7)²
9x² -42x +49 = x² +x² +14x +49
7x² -56x = 0 . . . . . . . . . subtract the right side, simplify
7x(x -8) = 0
Values of x that satisfy this equation are x=0 and x=8. We know x=0 is not a viable solution, so ...
the shortest side is 8 units long
Answer:
35/4 or 8 3/4
Step-by-step explanation:
turn both fractions into improper fractions
then multiply and simplify as needed
Answer:
LSA = 2πrH
Step-by-step explanation:
The lateral surface area of a cylinder is given by the formula as:
LSA = 2πrH
where, r and H are radius and height of the cylinder respectively.
The volume of cylinder is πr^2H
and Total surface are of cylinder = LSA+ 2× base are
= 2πrH +2πr^2
You can substitute any values of r and H to find LSA of the cylinder
<h2>
<u>Answer:</u></h2><h2 /><h2>
<u>➧</u><u>x>0</u><u> </u><u>&</u><u> </u><u>x</u><u><</u><u>-8</u></h2>
<u>Steps:</u>
➧9-∣x+4∣<5
Add -9 to both sides
➧9-∣x+4∣-9<5-9
➧-∣x+4∣<-4
Replace x+4 by X ☆☆
➧-∣X∣<-4
<u>☆</u><u>☆</u><u>Note:</u>
1)∣X∣ = -X if X is negative or <0
2)∣X∣ = X if X is positive or >0
<u>1) </u><u>If</u><u> </u><u>X</u><u> </u><u>is</u><u> </u><u>negative</u><u> </u><u>no</u>
➧-(-X)<-4
➧X<-4
➧x+4<-4
Add -4 to both sides
➧x+4-4<-4-4
<h2>
<u>➧</u><u>x<-8</u></h2>
<u>2) </u><u>I</u><u>f</u><u> </u><u> X</u><u> </u><u>is</u><u> </u><u>positive</u><u> </u><u>no</u>
➧-(X)<-4
➧-X<-4
➧-(x+4)<-4
➧-x-4<-4
Add 4 to both sides
➧-x-4+4<-4+4
➧-x<0
Multiply both side by -1 ☆☆☆
<h2><u>➧</u><u>x>0</u></h2>
☆☆☆
Multiplying both sides by a negative no changes > to < and vice versa
Answer:
The point is located at (0,7) is correct
The point is on the y-axis. is correct
Step-by-step explanation:
The point is located at (7,0). is wrong because first the x values comes and then y values come here the x value is 0 and y value is 7
The point is on the x-axis.this is also wrong as you can see that the point lies on y axis not x axis