Answer:
x<3
Step-by-step explanation:
Move all terms containing
x
to the left side of the inequality.
Tap for more steps...
x
+
3
<
6
Move all terms not containing
x
to the right side of the inequality.
Tap for more steps...
x
<
3
The result can be shown in multiple forms.
Inequality Form:
x
<
3
Interval Notation:
(
−
∞
,
3
)
A cube is a three-dimensional solid object having six square faces. The measure of the length of the diagonal of the face of the cube is 12.2 cm.
<h3>What is a cube?</h3>
A cube is a three-dimensional solid object having six square faces, facets, or sides, three of which meet at each vertex. The cube is one of the five Platonic solids and the only regular hexahedron.
Given the length of an edge of the cube is √75 cm, therefore, the length of the diagonal of the face of the cube will be √2 times the length of an edge of the cube. Thus, the measure of the length of the diagonal of the face of the cube is,
Length of the diagonal of the face = √2 × √75 = 12.2 cm
Hence, the measure of the length of the diagonal of the face of the cube is 12.2 cm.
Learn more about Cube:
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Answer:
6.
Step-by-step explanation:
First of all, you want the variable to be isolated, so in order to do that, you divide in both sides. Ten divided by two is five. So f = 5.
2f + 10
--- ---
2 2
10 divided by 2 = 5
Perpendicular lines have the negative reciprocal slope, so the slope of your new line will be -1/4 and the current equation will be as follows:
y = -1/4x + b
(where b is the y intercept)
to find b, plug in point A and you'll get:
2 = -1/4(16) + b
2 = -4 + b
6 = b
the equation will be:
y = -1/4x + 6
