Let's solve your equation step-by-step.<span><span><span><span>√x</span>+10</span>−9</span>=<span>−7
</span></span><span><span><span>√x</span>+1</span>=<span>−7
</span></span>Step 1: Add -1 to both sides.
<span><span><span><span>√x</span>+1</span>+<span>−1</span></span>=<span><span>−7</span>+<span>−1
</span></span></span><span><span>√x</span>=<span>−8
</span></span>Step 2: Solve Square Root.
<span><span>√x</span>=<span>−8
</span></span><span>x=<span><span>(<span>−8</span>)</span>2</span></span>(Square both sides)
<span>x=64
</span>Check answers. (Plug them in to make sure they work.)
<span>x=64</span>(Doesn't work in original equation)
Answer:
<span>No solutions.</span>
<h3>Answer:</h3>
F (3x, 3y)
<h3>Explanation:</h3>
Dilation about the origin multiplies each coordinate by the dilation factor. For some coordinates (x, y), dilation by a factor of 3 means the new coordinates are ...
... 3×(x, y) = (3x, 3y)
_____
<em>Comment on the problem</em>
The way the problem is worded, you expect an answer choice that will be specific to the coordinates of point A. There are none.
Instead, the answer choices are generic, corresponding to dilation of a point (x, y) by a factor of 3, translation up and to the right by 3, dilation by a factor of 1/3, and translation down and to the left by 3.
7:3=8:x is like like 7/3=8/x
so 7x=24
24/7=x
x=~3.43
Equation: m = y2-y1/x2-x1
Pick (x1, y1) = (2,1) and (x2, y2) = (0,5)
m = (5-1)/(0-2)
m = 4/(-2)
m = -2
So answer is d
Answer:
x = sqrt(29)/2 - 3/2 or x = -3/2 - sqrt(29)/2
Step-by-step explanation by completing the square:
Solve for x over the real numbers:
x^2 + 3 x - 5 = 0
Add 5 to both sides:
x^2 + 3 x = 5
Add 9/4 to both sides:
x^2 + 3 x + 9/4 = 29/4
Write the left hand side as a square:
(x + 3/2)^2 = 29/4
Take the square root of both sides:
x + 3/2 = sqrt(29)/2 or x + 3/2 = -sqrt(29)/2
Subtract 3/2 from both sides:
x = sqrt(29)/2 - 3/2 or x + 3/2 = -sqrt(29)/2
Subtract 3/2 from both sides:
Answer: x = sqrt(29)/2 - 3/2 or x = -3/2 - sqrt(29)/2
