Answer:
The hypotenuse is square root of 65
Step-by-step explanation:
a^2 + b^2 = c^2
legs of the right triangle are a and b. Just substitute 4 for a and 7 for b and solve.
4^2+7^2=16+49=65
c^2=65
Find the square root of both sides to get
c=the square root of 65
|4r + 8| ≥ 32
Split this expression into two expressions:
First ⇒ 4r + 8 ≥ 32 and second ⇒ 4r + 8 ≤ - 32
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First expression: 4r + 8 ≥ 32
Subtract 8 from both sides.
4r ≥ 24
Divide both sides by 4.
r ≥ 6
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Second expression: 4r + 8 ≤ - 32
Subtract 8 from both sides.
4r ≤ -40
Divide both sides by 4.
r ≤ -10
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Your answer is 
Answer:
56
Step-by-step explanation:
<h2>
Answer: c.) ¹⁵/₄</h2>
Step-by-step explanation:
If we transpose the equation into the slope-intercept form (y = mx + c), the value of c is the y-intercept.
since x + 4y = 15
then 4y = - x + 15
∴ y = -¹/₄ x + ¹⁵/₄
<h3>⇒ the y-intercept for the line x + 4y = 15 is ¹⁵/₄</h3>
Makes his grass greener and healthier