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Answer:
3) y = √10
4) x = 5√2
Step-by-step explanation:
The side ratios of an isosceles right triangle (one of the "special" right triangles) are ...
1 : 1 : √2
So, for some multiplier k, they can be made to match the sides in your triangles.
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3) 1·k : 1·k : k√2 = √5 : √5 : y
Clearly, k = √5, so ...
y = (√5)(√2)
y = √10
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4) k : k : k√2 = x : x : 10
k = 10/√2 = (5√2)/2
k = x = (5√2)/2
3^4 means 3 to the 4th power.
This means that you would multiply 3 by itself 4 times
It would look like this...3*3*3*3
3^4=81
Step 1: I drew a visual representation
Step 2: write the formulae for the volume of a sphere which is V=4*PI*r cubed all divided by 3. Refer to my image
Step 3: answer is 7234.56 cm cubed
<h3>Option A</h3><h3>3x - y = -5 is the equation of the line with a slope 3 and y intercept 5</h3>
<em><u>Solution:</u></em>
<em><u>The slope intercept form of equation is given as:</u></em>
y = mx + c ------ eqn 1
Where,
m is the slope of line
c is the y intercept
From given,
slope = m = 3
y intercept = c = 5
<em><u>Substitute m = 3 and c = 5 in eqn 1</u></em>
y = 3x + 5
3x - y = -5
Thus the equation of line is found