First, plug in 5 for x:
| -5 * 5 + 12 | = |-25 + 12| = |-13|
Those two lines are absolute value, which measures the distance from the number to 0 on a number line. This distance is always positive.
The distance from -13 to 0 on a number line is 13. The answer is 13.
Equation 1: 3x + 2y + 4z = 12
Equation 2: x + y + 2z = 6
Substituting x = 0, y = 4 and z = 1 into equation 1 and equation 2 and if the answer equals to 12 and 6 then the two lines intersect at the given point
Equation 1 ⇒ 3(0) + 2(4) + 4(1) = 0 + 8 + 4 =12
Equation 2 ⇒ 0 + 4 + 2(1) = 4 + 2 = 6
We have the answer of 12 and 6, hence the two lines intersect at the given point
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Equation 1: -2x - 4y + z = 8
Equation 2: 4x + 2y = -5
Given point: x = -2, y = 0, and z = 3
Equation 1 ⇒ -2(-2) - 4(0) + 3 = 4 - 0 +3 = 7
Equation 2 ⇒ 4(-2) + 2(0) = -8 + 0 = -8
The answers are not 8 and -5 hence the lines don't intersect at given point
0.997903 kilograms in 2.2 pounds
Answer:
12700
Step-by-step explanation:
45 + .05x = 680
.05x = 635
x = 12700
Step-by-step explanation:
tan = perpendicular / base
acc. to diagram ,
angle C = 90°
such that
AB is hypotenuse
acc to theta ,
AC is perpendicular and BC is base
therefore
tan theta = AC / BC
tan theta = 8/15