Answer:
x = -1 and y = 4
Step-by-step explanation:
Step 1: Solve 3y = -x + 11 for x
3y + x= -x + 11 + x
x + 3y = 11
x + 3y - 3y = 11 - 3y
x = −3y + 11
Step 2: Substitute -3y + 11 for x in 2x + 4y = 14
2(-3y + 11) + 4y = 14
Simplify both sides of the equation, and you get −2y + 22 = 14
−2y + 22 − 22 = 14 − 22
-2y = -8
-2y/-2 = -8/-2
y = 4
Step 3: Substitute 4 for y in x = −3y + 11
x = -3(4) + 11
Simplify both sides of the equation, and you get x = -1
Answer:
10
Step-by-step explanation:
pythagorean theorem
take the sum of the square of each leg and set it equal to the square of the hypotenuse
8² + 6² = x²
64 + 36 = x²
x² = 100
x = or 10
Answer is B.
Step-by-step explanation:
Since we know that in 30-60-90 triangle, the side corresponding to angle 90 degrees is two times the length of side corresponding to 30 degree angle. The length of side corresponding to 60 degree angle is times the length corresponding to 30 degree angle.
We can see from our given choices that the side corresponding to 30 degree angle is 5 units.
Therefore, the side lengths of a 30-60-90 triangle will be and option B is the correct choice.
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Answer:
4 feet.
Step-by-step explanation:
Answer:
<h2>a) (5, 11)</h2><h2>b) r = 9</h2><h2>c) (-4, 11)</h2>
Step-by-step explanation:
The equation of a circle in standard form:
(h, k) - center
r - radius
We have the equation:
Therefore
a) h = 5, k = 11 → the center (5, 11)
b) r² = 81 → r = √81 = 9 - radius
c) We choose any value of x, but one which h - r ≤ x ≤ h + r
5 - 9 = -4
5 + 9 = 14
-4 ≤ x ≤ 14
Let x = -4. Put to the equation and solve for y:
<em>subtract 81 from both sides</em>
<em>add 11 to both sides</em>
(-4, 11)