Let's solve your equation step-by-step.<span><span>
98−<span>x2</span></span>=0</span>
Step 1: Simplify both sides of the equation.<span><span><span>
−<span>x2</span></span>+98</span>=0</span>
Step 2: Subtract 98 from both sides.<span><span><span><span>
−<span>x2</span></span>+98</span>−98</span>=<span>0−98</span></span><span><span>
−<span>x2</span></span>=<span>−98</span></span>
Step 3: Divide both sides by -1.<span><span><span>
−<span>x^2/</span></span><span>1</span></span>=<span><span>−98/</span><span>1</span></span></span><span><span>
x^2</span>=98</span>
Step 4: Take square root.<span>
x=<span>±<span>√98</span></span></span><span><span>
x=<span><span><span>7<span>√2</span></span><span> or </span></span>x</span></span>=<span>−<span>7<span>√2</span></span></span></span>
Answer:<span><span>
x=<span><span><span>7<span>√2</span></span><span> or </span></span>x</span></span>=<span>−<span>7<span>√<span>2
-Not this if this is what you wanted but I hope I helped. :)</span></span></span></span></span>
Answer: Yes it can form a triangle and its a right triangle.
Step-by-step explanation:
Using the Pythagorean theorem we can see that the longest side (20) is our hypotenuse. From there you just check if its true. :)
Answer: 3
Step-by-step explanation:
Pretend A is just three, B is just 4, and C is just 5.
3(3)-4(4)+2(5)
9-4(4)+2(5)
9-16+2(5)
9-16+10
-7+10
3
The gradient is also known as the slope and we can find it using the slope/gradient formula: (y2 - y1) / (x2 - x1)
To find the gradient/slope, we need to first choose two points on the line. You can choose any two points you like, as long as they are on the line you are trying to find the slope of.
Point 1 = (2,2)
Point 2 = (5,8)
Now, we can plug in these points to the formula and solve.
(8 - 2) / (5 - 2)
6 / 3
2
The gradient of the blue line is 2.
Hope this helps!! :)
Answer: the total number of entries at the fair is 350
Step-by-step explanation:
Let x represent the number of entries that were there at the fair.
At a county fair, 50% of the entries are livestock. This means that the number of livestock at the fair was
50/100 × x = 0.5x
Of those entries, 80% are sold at the auction. This means that the number of entries that were sold at the auction is
80/100 × 0.5x = 0.4x
If 140 entries of livestock are sold at the auction, it means that
0.4x = 140
x = 140/0.4
x = 350
