4 years ago

Solve for x: 2x − 2 > 4x + 6. x < −4 x > −4 x < 4 x > 4

Mathematics

1 answer:

igomit [66]4 years ago

3 0

Answer:

The answer is the first choice, x < −4.

Step-by-step explanation:

Let's solve your inequality step-by-step.

2x−2>4x+6

Step 1: Subtract 4x from both sides.

2x−2−4x>4x+6−4x

−2x−2>6

Step 2: Add 2 to both sides.

−2x−2+2>6+2

−2x>8

Step 3: Divide both sides by -2.

x<−4

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Vance wants to determine if an old photo frame is still rectangular. The height of the frame is

sveticcg [70]

Answer:

The old photo frame is still rectangular

Step-by-step explanation:

Rectangles

The rectangle shape can be identified because it has 4 internal angles of 90° each. The diagonal forms with two adjacent sides a right triangle where the Pythagora's Theorem must stand. Being a and b the length of the sides of the rectangle and d the diagonal, then:

$d^2=a^2+b^2$

Vince's photo frame has dimensions of 8 inches and 6 inches, with a diagonal of 10 inches. If the above condition is met, then the frame is still rectangular.

Calculating:

$10^2=6^2+8^2$