Substitute each value for x into the absolute value equation to solve this problem. Start with A. x = 4/5.
|(4/5) + 3| = 4(4/5) - 7
Add 4/5 and 3 inside the absolute value symbols, and multiply 4 times 4/5 on the right side of the equation.
|19/5| = 16/5 - 7
Subtract 16/5 and 7.
|19/5| = -19/5, which is a false statement because the absolute value of 19/5 is 19/5, and 19/5 does not equal -19/5. This cancels out A from our possible solutions.
Now substitute B. x = 10/3 into the equation.
|(10/3) + 3| = 4(10/3) - 7
Add 10/3 and 3 inside the absolute values, and multiply 4 times 10/3 on the right side of the equation.
|19/3| = 40/3 - 7
Subtract 40/3 and 7.
|19/3| = 19/3, which is a true statement so we can include B in our possible solutions. Check the box B.
Substitute C. x = -4/5 into the equation.
|(-4/5) + 3| = 4(-4/5) - 7
Solve as you did the other ones; add inside the absolute values and multiply and subtract 7 from the answer on the right side of the equation. After doing this you will get: 2.2 = -10.2, which is a false statement so C will be eliminated from possible answer choices.
Substitute the last one; D. x = -10/3.
|(-10/3) + 3| = 4(-10/3) - 7
Solving this you will end up with: 0.3 = -20.3, which is a false statement so the only answer choice that is a possible solution is B.
Answer:
7y + 4
Step-by-step explanation:
2y + 5y+4
add 2y and 5y
7y+ 4
First calculate the radius = 1/2 the diameter = [sqrt sqr160(4-0)^2 + (-14-(-2))^2] / 2
= (sqrt 160 ) / 2 so r^2 = 160 /4 = 40
center = midpoint of the diameter = (-14-2)/ 2 , (4+0)/2 = (-8, 2)
so required equation is (x + 8)^2 + (y - 2)^2 = 40
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Answer:
<h2>168 ft²</h2>
Step-by-step explanation:
the surface area of the triangular prism =
2×(the base’s area) + the lateral area
the base’s area =
the lateral area =
9×(6 + 5 + 5) = 9×16 = 9×16 = 144
finally,
the surface area of the triangular prism = 24 + 144 = 168
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:)
Answer:
D 98 inches
Step-by-step explanation: