Can some explain this

9514 1404 393

  rectangle: 2x+2 wide by 2x high

  triangle: 2 high

Step-by-step explanation:

Usually, a problem like this is asking you to find dimension expressions that combine to give you the given expression. There are usually a number of possibilities. Using the designators in the attached, we would generally like to have B > C and A about the same as C. That doesn't seem possible with the given factors.

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The given quadratic expression factors as ...

  area = 4x^2 +6x +2 = (2x+2)(2x +1)

This might be written to match the area formula as ...

  (2x +2)(2x +2/2)

This would give A=2, B=2x+2, C=2x, as shown in the attachment.

y = 2x - 3

Step-by-step explanation:

Step 1: Find the slope. You find the slope by using the formula y2-y1/x2-x1. (2, 1) and (4, 5) are our points. Let's find our values.

y2= 5

y1= 1

x2 = 4

x1 = 2

Plug in the numbers into the equation. 5 - 1 is 4. 4 - 2 is 2. 4/2 is 2. There. Our slope is 2.

Step 2: Find the b value. Keep in mind that an equation in point-slope form is y = mx + b, where m = the slope, and b = the y-intercept. For this part, you will plug in one of the points as x and y to find the b value. let's use point (4, 5)

The equation then becomes 5 = 2(4) + b. As we know, 2 * 4 is 8. Subtract 8 on both sides of the equation to cancel out the right side and isolate the b variable. 5 - 8 is -3. Even if you use the other point for the equation (1 = 2(2) +b), you should get the same answer of -3.